Entry Friction Analysis

892019 Entry Friction Analysis

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copy 2005 Halliburton All Rights Reserved

Pipe Friction

Perf

oration Friction

NWB Friction or

Tortuosity



3


52320031027 1028 1029 1030 1031 1032

52320031033

Time

0

1000

2000

3000

4000

5000

6000

7000

A

0

5

10

15

20

25

30

BCasing Pressure (psi) Slurry Rate (bpm)A B

52320031027 1028 1029 1030 1031 1032

52320031033

Time

0

1000

2000

3000

4000

5000

6000

7000

A

0

5

10

15

20

25

30


BHTP= Pw + Ph ndash Pf BHTP= Pw + Ph ndash Pf

BHTP= Pw + PhBHTP= Pw + Ph

ritinritin

Friction pressure




H$ ampynaic( ) $ + $h $- H$ ampynaic( ) $ + $h $-

H$ tatic( ) $ $( + $hH$ tatic( ) $ $( + $h

RC $R4RRC $R4R

H$H$ ) otto Hole reating $ressure) otto Hole reating $ressure$$ ) $ressure reading at the ellhead) $ressure reading at the ellhead

$h$h ) Hydrostatic $ressure) Hydrostatic $ressure

$- $- ) riction $ressure loss) riction $ressure loss

δδ hinhin ) iniu Hori6ontal tress) iniu Hori6ontal tress

mir h BHTP essure Net σ minus=



5


NWF PerfF PF TF P P P P ∆+∆+∆=∆7 otal riction7 otal riction

$7 $i8e riction$7 $i8e riction

$er-7 $er-oration riction$er-7 $er-oration riction

97 ear 9ellbore riction97 ear 9ellbore riction

Friction pressure




Agenda

$i8e -riction

$er-oration -riction

ear ellbore -riction

te8 don analysis olutions to entry -riction



lt


LETrsquoS T TE

AE



=


PIPE FRICTION



gt


Flow RegimeFlow RegimeN$E amp ( La)inar

N$E + ( Turbulent



1

0


111213141516

17181920

20

10

40 60 80 1000 C O R R E C T I O

N F

A C T O R

PROPPANTCONCENTRATION

RheologyRheology $ro8 Concentration$ro8 Concentration





1

2


ritin Pressure

2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9

1 10 100

te bm

5

6

7

8

9

2

3

4

5

6

7

8

9

2

3

4

5

6

7

8

9

2

3

10

100

1000

1ressure

1

te

500

$1

3581

$4

8312

$4

1023

$2

2596

2

4225

Fluids Database ndash Halwin ampFluids Database ndash Halwin amp

Materials Library Materials Library



1

3


Co8are tubing -riction 8ressuregradients using -resh ater and ampelta10

Co8are tubing -riction 8ressuregradients varying 8ro88antconcentration in ampelta 10

Co8are -riction 8ressure gradient o-ampelta 10 varying inection 8athstubing and casing(

Co8are -riction 8ressure gradient o-ampelta 10 changing 8i8e roughness

ampouble the 8i8e roughness

Eercise



1


Eercise $4

ampelta 10 and 200 Jordan and

ode) i8le

) ltlt

$ressure) 1000 8si

el Conc)25 lbgal

Hydration tie) 02 hr

ubing amp) 21 in

Casing amp) gt5 in

Absolute Roughness) 0000lt00lt=lt in



1

5


-elta + s Fres0 Water

1



1


Proppant Concentration

1



1

lt


Tubing s Casing



1



1

gt


Pipe friction 1 Su))ary

urbulent lo

Bainar lo

igger 8i8e

Higher Roughness

Higher $ro88ant

Concentration

2



2

0


2



2

1


Perforation friction

ampissi8ation o- inetic energy

lo area reduction

High velocity

$er-oration si6e

luid 8ro8erties

2



2

2


Perforation para)eters

ntryHole ampiaeter Hamp(

hot ampensity

un $hasing D eoetry

9ell Condition ampischarge Coe--icient

2 3Prop4 5

2



2

3


Entry 0ole dia)eter

2



2


Cd ) Ratio o- the

diaeter o- the -luid at

the vena contracta to thediaeter o- the

8er-oration

-isc0arge coefficient

Dp = Diameter of the perforation

Dv = Diameter of the vena contracta

Cd

2



2

5


$er-orationEs e--iciency to let -luid

8ass through

ampe8endent on erosion rate

Felocity

$er-oration si6e

and Concentration

05 05 original Cd

0= 0gt5 a-ter and Baden luids

ere 8u8ed


f i f i i



Perfratin fritinPerfratin fritin

qk p i pf pf

2cong∆

2422370

C D N k

p

pf

ρ =

2422370

C D N k

p

pf

ρ = ρ

N p D

C

Fluid density (lbgal))Fluid density (lbgal))

Number of perforationsNumber of perforations

Entry Hole Diameter (in)Entry Hole Diameter (in)

Disarge oeffiientDisarge oeffiient

olumetri $ate (bblmin)olumetri $ate (bblmin)q

f i f i i




Pefratin ritin $

Assume C= amp

lot erf frition s $ate + + amp -+ bpm

qk p i pf pf

2cong∆

P f i f i i




2

P f i f i i d l



2

gt


Perforation friction1 odels

ampe-ault Correlation

Binear el Correlation

GBin el Correlation

C

xs p∆

3



3

0





GBin el Correlation

erf F ndependent of spaingamp ressure inside Frature

dependent of isosity amp

erf diameter

Eess pressure due to0isoelasti state of 1lin2edfluids

C

xs p∆

3



3

1


-efault correlation

C= amp ppss= =

2

22370

=∆

d p

pf

C nD

q p ρ

3



3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3


6link gel correlation

60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153

31 minus=∆ minus d

ea xs p micro

3

F P PT



3


FracPro PT

3



5


Near Wellbore Frictionor Tortuosity

i



TrtusityTrtusity

Hydrauli fratures grow perpendiular to te least priniple ro2Hydrauli fratures grow perpendiular to te least priniple ro2

stressesstresses

mi m

Frature initiation may not be perpendiular to te far3field leastFrature initiation may not be perpendiular to te far3field least

prinipal stress due to drilling indued stress anges perforationprinipal stress due to drilling indued stress anges perforation

orientation etorientation et

m

mi

T t itT t it



TrtusityTrtusity

Laminar flow of fluid troug a narrow annel inLaminar flow of fluid troug a narrow annel in

te pressure sensiti0e near3wellbore region tatte pressure sensiti0e near3wellbore region tat

onnets te wellbore to te far3field frature (s)onnets te wellbore to te far3field frature (s)

δδminmin

gtgtgtδgtgtgtδminmin

Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9

B$EAlt-WN W=-T FgtNCT=N

B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n

An+e eween Perora$on and )rare Pane

3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing

ultiple fraturesultiple fratures




4ypially aused by te absene of differentialstress in te formation and may be loated in tenear3wellbore region as well as se0eral undred

feet out into te frature

δδminmin

Cnse0uenes f ultiple raturesCnse0uenes f ultiple ratures



5 $edued indi0idual frature widt$edued indi0idual frature widt

3inreased sreen3out potential3inreased sreen3out potential5 nreased lea2off 3 lower effiienynreased lea2off 3 lower effiieny

5 $edued frature lengt$edued frature lengt

5 Higer net treating pressureHiger net treating pressure

5 Less onfinementLess onfinement

5 Higer frature onduti0ity lose to teHiger frature onduti0ity lose to te

wellwell


1 llb f i ti1ear wellbre fritin



1ear wellbre fritin1ear wellbre fritin

1ear 2ellbre ritin $

Assume 3nwf = $

lot $ate s N6F + + amp -+ bpm

qk pinwf nwf

50cong∆





4ntry ritin4ntry ritin




2hy is he late52hy is he late5






NWF PerfF PF TF P P P P ∆+∆+∆=∆

Stimwin 6atamp 7ibrary

4ntry ritin

How to differentiate between perforation frition and NearHow to differentiate between perforation frition and Near

wellbore frition7wellbore frition7

4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity

Perforation Friction

Pu)p $ate

2Q K P perf perf =∆

50Q K P tort tort =∆

Step 8wn TestsStep 8wn Tests



Step 8wn TestsStep 8wn Tests nect -luid ith coon

8ro8erties

$er-ored by ra8idly

dro88ing the inection rate in

ste8sI

ust be su--iciently uic to

avoid changes in -racture

geoetry

est i- done ith botto hole

gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test

Step 9wn testStep 9wn test



Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30

BCsi ressure si -urr) te bm Auus ressure siA B A

54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4


Step 9wn se0ueneStep 9wn se0uene




9 lui9 4ntry9 lui9 4ntry




TI

PumpRate

Wellhead Pressure

Restrite9 lui9 4ntryRestrite9 lui9 4ntry




TI

PumpRate

Wellhead Pressure

2ater Hammer2ater Hammer




Oscillatory pressureresponse to a suddenchange in rate



Perfratin fritin 9minate9Perfratin fritin 9minate9




regimeregime

ource7 $ 8a8er 2gtgt=gt by CA 9right et al

1earltwellbre fritin 9minate91earltwellbre fritin 9minate9



1ear wellbre fritin 9minate91ear wellbre fritin 9minate9

regimeregime

mpliatins f entry fritinmpliatins f entry fritin




ampi--icult -racture initiation

racture nitiation ay not occur in the right

directionI

8tiu 8er-orating design can be di--icult

9idth liitation

et $ressure achieveent

$reature creen uts

Sreen utSreen ut



Sreen utSreen utJob -ummr)

91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C

Treti ressure si-urr) te bm-urr) rot Coc b

Bottom=oe rot Coc bBcsigte ressure si

ABC

CA

8654321

11109876

5

4

Frature

6idt

Sreen ut typesSreen ut types




86

987

50

T

P r e s s u r e

Near ellbore Screen ut7

$ressure -all don ra8idly

a-ter shut in

4neven $ro88ant distribution

Tip Screen ut7

$ressure -all gradually

ven $ro88ant distribution

Re9uing 4ntry ritinRe9uing 4ntry ritin




Acid brea don

ampiverting agents

$er-oration -or tiulation

and lugs

High Fiscosity el 8ills

Rate schedule



8igterting agents8igterting agents




all ealers

e8orary ridging

Agents

Fiscous els

oas

Perfratin fr stimulatinPerfratin fr stimulatin




$er-oration Conditions

eoetry

hot density

$in $oint tiulation

Biited ntry

4nder balance A88lications

San9 slugsSan9 slugs




100 esh and

3050 auKite

ore Coon $ro88ants 05 to 3 88g

500 to 5000 gallons

el pillsel pills



el pillsel pills

ain rac luid ty8ically

nected at -ull treatent rate

500 to 3000 gallons

$reliinary or reedial

Cou8led ood $er-orating echniues



2hat 9 yu thin52hat 9 yu thin5






2


Pipe Friction

Perf

oration Friction

NWB Friction or

Tortuosity



3


52320031027 1028 1029 1030 1031 1032

52320031033

Time

0

1000

2000

3000

4000

5000

6000

7000

A

0

5

10

15

20

25

30


52320031027 1028 1029 1030 1031 1032

52320031033

Time

0

1000

2000

3000

4000

5000

6000

7000

A

0

5

10

15

20

25

30




ritinritin

Friction pressure





H$ tatic( ) $ $( + $hH$ tatic( ) $ $( + $h

RC $R4RRC $R4R








5






Friction pressure




Agenda

$i8e -riction






lt


LETrsquoS T TE

AE



=


PIPE FRICTION



gt



N$E + ( Turbulent



1

0


111213141516

17181920

20

10

40 60 80 1000 C O R R E C T I O

N F

A C T O R







1

2


ritin Pressure

2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9

1 10 100

te bm

5

6

7

8

9

2

3

4

5

6

7

8

9

2

3

4

5

6

7

8

9

2

3

10

100

1000

1ressure

1

te

500

$1

3581

$4

8312

$4

1023

$2

2596

2

4225





1

3







Eercise



1


Eercise $4


ode) i8le

) ltlt

$ressure) 1000 8si

el Conc)25 lbgal


ubing amp) 21 in

Casing amp) gt5 in




1

5



1



1



1



1

lt


Tubing s Casing



1



1

gt



urbulent lo

Bainar lo

igger 8i8e

Higher Roughness

Higher $ro88ant

Concentration

2



2

0


2



2

1




lo area reduction

High velocity

$er-oration si6e

luid 8ro8erties

2



2

2




hot ampensity

un $hasing D eoetry


2 3Prop4 5

2



2

3


Entry 0ole dia)eter

2



2


Cd ) Ratio o- the



8er-oration




Cd

2



2

5



8ass through


Felocity

$er-oration si6e

and Concentration

05 05 original Cd


ere 8u8ed


f i f i i




qk p i pf pf

2cong∆

2422370

C D N k

p

pf

ρ =

2422370

C D N k

p

pf

ρ = ρ

N p D

C






f i f i i




Pefratin ritin $

Assume C= amp


qk p i pf pf

2cong∆

P f i f i i




2

P f i f i i d l



2

gt





GBin el Correlation

C

xs p∆

3



3

0





GBin el Correlation



erf diameter


C

xs p∆

3



3

1


-efault correlation

C= amp ppss= =

2

22370

=∆

d p

pf

C nD

q p ρ

3



3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











3


52320031027 1028 1029 1030 1031 1032

52320031033

Time

0

1000

2000

3000

4000

5000

6000

7000

A

0

5

10

15

20

25

30


52320031027 1028 1029 1030 1031 1032

52320031033

Time

0

1000

2000

3000

4000

5000

6000

7000

A

0

5

10

15

20

25

30




ritinritin

Friction pressure





H$ tatic( ) $ $( + $hH$ tatic( ) $ $( + $h

RC $R4RRC $R4R








5






Friction pressure




Agenda

$i8e -riction






lt


LETrsquoS T TE

AE



=


PIPE FRICTION



gt



N$E + ( Turbulent



1

0


111213141516

17181920

20

10

40 60 80 1000 C O R R E C T I O

N F

A C T O R







1

2


ritin Pressure

2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9

1 10 100

te bm

5

6

7

8

9

2

3

4

5

6

7

8

9

2

3

4

5

6

7

8

9

2

3

10

100

1000

1ressure

1

te

500

$1

3581

$4

8312

$4

1023

$2

2596

2

4225





1

3







Eercise



1


Eercise $4


ode) i8le

) ltlt

$ressure) 1000 8si

el Conc)25 lbgal


ubing amp) 21 in

Casing amp) gt5 in




1

5



1



1



1



1

lt


Tubing s Casing



1



1

gt



urbulent lo

Bainar lo

igger 8i8e

Higher Roughness

Higher $ro88ant

Concentration

2



2

0


2



2

1




lo area reduction

High velocity

$er-oration si6e

luid 8ro8erties

2



2

2




hot ampensity

un $hasing D eoetry


2 3Prop4 5

2



2

3


Entry 0ole dia)eter

2



2


Cd ) Ratio o- the



8er-oration




Cd

2



2

5



8ass through


Felocity

$er-oration si6e

and Concentration

05 05 original Cd


ere 8u8ed


f i f i i




qk p i pf pf

2cong∆

2422370

C D N k

p

pf

ρ =

2422370

C D N k

p

pf

ρ = ρ

N p D

C






f i f i i




Pefratin ritin $

Assume C= amp


qk p i pf pf

2cong∆

P f i f i i




2

P f i f i i d l



2

gt





GBin el Correlation

C

xs p∆

3



3

0





GBin el Correlation



erf diameter


C

xs p∆

3



3

1


-efault correlation

C= amp ppss= =

2

22370

=∆

d p

pf

C nD

q p ρ

3



3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons













H$ tatic( ) $ $( + $hH$ tatic( ) $ $( + $h

RC $R4RRC $R4R








5






Friction pressure




Agenda

$i8e -riction






lt


LETrsquoS T TE

AE



=


PIPE FRICTION



gt



N$E + ( Turbulent



1

0


111213141516

17181920

20

10

40 60 80 1000 C O R R E C T I O

N F

A C T O R







1

2


ritin Pressure

2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9

1 10 100

te bm

5

6

7

8

9

2

3

4

5

6

7

8

9

2

3

4

5

6

7

8

9

2

3

10

100

1000

1ressure

1

te

500

$1

3581

$4

8312

$4

1023

$2

2596

2

4225





1

3







Eercise



1


Eercise $4


ode) i8le

) ltlt

$ressure) 1000 8si

el Conc)25 lbgal


ubing amp) 21 in

Casing amp) gt5 in




1

5



1



1



1



1

lt


Tubing s Casing



1



1

gt



urbulent lo

Bainar lo

igger 8i8e

Higher Roughness

Higher $ro88ant

Concentration

2



2

0


2



2

1




lo area reduction

High velocity

$er-oration si6e

luid 8ro8erties

2



2

2




hot ampensity

un $hasing D eoetry


2 3Prop4 5

2



2

3


Entry 0ole dia)eter

2



2


Cd ) Ratio o- the



8er-oration




Cd

2



2

5



8ass through


Felocity

$er-oration si6e

and Concentration

05 05 original Cd


ere 8u8ed


f i f i i




qk p i pf pf

2cong∆

2422370

C D N k

p

pf

ρ =

2422370

C D N k

p

pf

ρ = ρ

N p D

C






f i f i i




Pefratin ritin $

Assume C= amp


qk p i pf pf

2cong∆

P f i f i i




2

P f i f i i d l



2

gt





GBin el Correlation

C

xs p∆

3



3

0





GBin el Correlation



erf diameter


C

xs p∆

3



3

1


-efault correlation

C= amp ppss= =

2

22370

=∆

d p

pf

C nD

q p ρ

3



3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











5






Friction pressure




Agenda

$i8e -riction






lt


LETrsquoS T TE

AE



=


PIPE FRICTION



gt



N$E + ( Turbulent



1

0


111213141516

17181920

20

10

40 60 80 1000 C O R R E C T I O

N F

A C T O R







1

2


ritin Pressure

2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9

1 10 100

te bm

5

6

7

8

9

2

3

4

5

6

7

8

9

2

3

4

5

6

7

8

9

2

3

10

100

1000

1ressure

1

te

500

$1

3581

$4

8312

$4

1023

$2

2596

2

4225





1

3







Eercise



1


Eercise $4


ode) i8le

) ltlt

$ressure) 1000 8si

el Conc)25 lbgal


ubing amp) 21 in

Casing amp) gt5 in




1

5



1



1



1



1

lt


Tubing s Casing



1



1

gt



urbulent lo

Bainar lo

igger 8i8e

Higher Roughness

Higher $ro88ant

Concentration

2



2

0


2



2

1




lo area reduction

High velocity

$er-oration si6e

luid 8ro8erties

2



2

2




hot ampensity

un $hasing D eoetry


2 3Prop4 5

2



2

3


Entry 0ole dia)eter

2



2


Cd ) Ratio o- the



8er-oration




Cd

2



2

5



8ass through


Felocity

$er-oration si6e

and Concentration

05 05 original Cd


ere 8u8ed


f i f i i




qk p i pf pf

2cong∆

2422370

C D N k

p

pf

ρ =

2422370

C D N k

p

pf

ρ = ρ

N p D

C






f i f i i




Pefratin ritin $

Assume C= amp


qk p i pf pf

2cong∆

P f i f i i




2

P f i f i i d l



2

gt





GBin el Correlation

C

xs p∆

3



3

0





GBin el Correlation



erf diameter


C

xs p∆

3



3

1


-efault correlation

C= amp ppss= =

2

22370

=∆

d p

pf

C nD

q p ρ

3



3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons












Agenda

$i8e -riction






lt


LETrsquoS T TE

AE



=


PIPE FRICTION



gt



N$E + ( Turbulent



1

0


111213141516

17181920

20

10

40 60 80 1000 C O R R E C T I O

N F

A C T O R







1

2


ritin Pressure

2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9

1 10 100

te bm

5

6

7

8

9

2

3

4

5

6

7

8

9

2

3

4

5

6

7

8

9

2

3

10

100

1000

1ressure

1

te

500

$1

3581

$4

8312

$4

1023

$2

2596

2

4225





1

3







Eercise



1


Eercise $4


ode) i8le

) ltlt

$ressure) 1000 8si

el Conc)25 lbgal


ubing amp) 21 in

Casing amp) gt5 in




1

5



1



1



1



1

lt


Tubing s Casing



1



1

gt



urbulent lo

Bainar lo

igger 8i8e

Higher Roughness

Higher $ro88ant

Concentration

2



2

0


2



2

1




lo area reduction

High velocity

$er-oration si6e

luid 8ro8erties

2



2

2




hot ampensity

un $hasing D eoetry


2 3Prop4 5

2



2

3


Entry 0ole dia)eter

2



2


Cd ) Ratio o- the



8er-oration




Cd

2



2

5



8ass through


Felocity

$er-oration si6e

and Concentration

05 05 original Cd


ere 8u8ed


f i f i i




qk p i pf pf

2cong∆

2422370

C D N k

p

pf

ρ =

2422370

C D N k

p

pf

ρ = ρ

N p D

C






f i f i i




Pefratin ritin $

Assume C= amp


qk p i pf pf

2cong∆

P f i f i i




2

P f i f i i d l



2

gt





GBin el Correlation

C

xs p∆

3



3

0





GBin el Correlation



erf diameter


C

xs p∆

3



3

1


-efault correlation

C= amp ppss= =

2

22370

=∆

d p

pf

C nD

q p ρ

3



3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











lt


LETrsquoS T TE

AE



=


PIPE FRICTION



gt



N$E + ( Turbulent



1

0


111213141516

17181920

20

10

40 60 80 1000 C O R R E C T I O

N F

A C T O R







1

2


ritin Pressure

2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9

1 10 100

te bm

5

6

7

8

9

2

3

4

5

6

7

8

9

2

3

4

5

6

7

8

9

2

3

10

100

1000

1ressure

1

te

500

$1

3581

$4

8312

$4

1023

$2

2596

2

4225





1

3







Eercise



1


Eercise $4


ode) i8le

) ltlt

$ressure) 1000 8si

el Conc)25 lbgal


ubing amp) 21 in

Casing amp) gt5 in




1

5



1



1



1



1

lt


Tubing s Casing



1



1

gt



urbulent lo

Bainar lo

igger 8i8e

Higher Roughness

Higher $ro88ant

Concentration

2



2

0


2



2

1




lo area reduction

High velocity

$er-oration si6e

luid 8ro8erties

2



2

2




hot ampensity

un $hasing D eoetry


2 3Prop4 5

2



2

3


Entry 0ole dia)eter

2



2


Cd ) Ratio o- the



8er-oration




Cd

2



2

5



8ass through


Felocity

$er-oration si6e

and Concentration

05 05 original Cd


ere 8u8ed


f i f i i




qk p i pf pf

2cong∆

2422370

C D N k

p

pf

ρ =

2422370

C D N k

p

pf

ρ = ρ

N p D

C






f i f i i




Pefratin ritin $

Assume C= amp


qk p i pf pf

2cong∆

P f i f i i




2

P f i f i i d l



2

gt





GBin el Correlation

C

xs p∆

3



3

0





GBin el Correlation



erf diameter


C

xs p∆

3



3

1


-efault correlation

C= amp ppss= =

2

22370

=∆

d p

pf

C nD

q p ρ

3



3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











=


PIPE FRICTION



gt



N$E + ( Turbulent



1

0


111213141516

17181920

20

10

40 60 80 1000 C O R R E C T I O

N F

A C T O R







1

2


ritin Pressure

2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9

1 10 100

te bm

5

6

7

8

9

2

3

4

5

6

7

8

9

2

3

4

5

6

7

8

9

2

3

10

100

1000

1ressure

1

te

500

$1

3581

$4

8312

$4

1023

$2

2596

2

4225





1

3







Eercise



1


Eercise $4


ode) i8le

) ltlt

$ressure) 1000 8si

el Conc)25 lbgal


ubing amp) 21 in

Casing amp) gt5 in




1

5



1



1



1



1

lt


Tubing s Casing



1



1

gt



urbulent lo

Bainar lo

igger 8i8e

Higher Roughness

Higher $ro88ant

Concentration

2



2

0


2



2

1




lo area reduction

High velocity

$er-oration si6e

luid 8ro8erties

2



2

2




hot ampensity

un $hasing D eoetry


2 3Prop4 5

2



2

3


Entry 0ole dia)eter

2



2


Cd ) Ratio o- the



8er-oration




Cd

2



2

5



8ass through


Felocity

$er-oration si6e

and Concentration

05 05 original Cd


ere 8u8ed


f i f i i




qk p i pf pf

2cong∆

2422370

C D N k

p

pf

ρ =

2422370

C D N k

p

pf

ρ = ρ

N p D

C






f i f i i




Pefratin ritin $

Assume C= amp


qk p i pf pf

2cong∆

P f i f i i




2

P f i f i i d l



2

gt





GBin el Correlation

C

xs p∆

3



3

0





GBin el Correlation



erf diameter


C

xs p∆

3



3

1


-efault correlation

C= amp ppss= =

2

22370

=∆

d p

pf

C nD

q p ρ

3



3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











gt



N$E + ( Turbulent



1

0


111213141516

17181920

20

10

40 60 80 1000 C O R R E C T I O

N F

A C T O R







1

2


ritin Pressure

2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9

1 10 100

te bm

5

6

7

8

9

2

3

4

5

6

7

8

9

2

3

4

5

6

7

8

9

2

3

10

100

1000

1ressure

1

te

500

$1

3581

$4

8312

$4

1023

$2

2596

2

4225





1

3







Eercise



1


Eercise $4


ode) i8le

) ltlt

$ressure) 1000 8si

el Conc)25 lbgal


ubing amp) 21 in

Casing amp) gt5 in




1

5



1



1



1



1

lt


Tubing s Casing



1



1

gt



urbulent lo

Bainar lo

igger 8i8e

Higher Roughness

Higher $ro88ant

Concentration

2



2

0


2



2

1




lo area reduction

High velocity

$er-oration si6e

luid 8ro8erties

2



2

2




hot ampensity

un $hasing D eoetry


2 3Prop4 5

2



2

3


Entry 0ole dia)eter

2



2


Cd ) Ratio o- the



8er-oration




Cd

2



2

5



8ass through


Felocity

$er-oration si6e

and Concentration

05 05 original Cd


ere 8u8ed


f i f i i




qk p i pf pf

2cong∆

2422370

C D N k

p

pf

ρ =

2422370

C D N k

p

pf

ρ = ρ

N p D

C






f i f i i




Pefratin ritin $

Assume C= amp


qk p i pf pf

2cong∆

P f i f i i




2

P f i f i i d l



2

gt





GBin el Correlation

C

xs p∆

3



3

0





GBin el Correlation



erf diameter


C

xs p∆

3



3

1


-efault correlation

C= amp ppss= =

2

22370

=∆

d p

pf

C nD

q p ρ

3



3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











1

0


111213141516

17181920

20

10

40 60 80 1000 C O R R E C T I O

N F

A C T O R







1

2


ritin Pressure

2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9

1 10 100

te bm

5

6

7

8

9

2

3

4

5

6

7

8

9

2

3

4

5

6

7

8

9

2

3

10

100

1000

1ressure

1

te

500

$1

3581

$4

8312

$4

1023

$2

2596

2

4225





1

3







Eercise



1


Eercise $4


ode) i8le

) ltlt

$ressure) 1000 8si

el Conc)25 lbgal


ubing amp) 21 in

Casing amp) gt5 in




1

5



1



1



1



1

lt


Tubing s Casing



1



1

gt



urbulent lo

Bainar lo

igger 8i8e

Higher Roughness

Higher $ro88ant

Concentration

2



2

0


2



2

1




lo area reduction

High velocity

$er-oration si6e

luid 8ro8erties

2



2

2




hot ampensity

un $hasing D eoetry


2 3Prop4 5

2



2

3


Entry 0ole dia)eter

2



2


Cd ) Ratio o- the



8er-oration




Cd

2



2

5



8ass through


Felocity

$er-oration si6e

and Concentration

05 05 original Cd


ere 8u8ed


f i f i i




qk p i pf pf

2cong∆

2422370

C D N k

p

pf

ρ =

2422370

C D N k

p

pf

ρ = ρ

N p D

C






f i f i i




Pefratin ritin $

Assume C= amp


qk p i pf pf

2cong∆

P f i f i i




2

P f i f i i d l



2

gt





GBin el Correlation

C

xs p∆

3



3

0





GBin el Correlation



erf diameter


C

xs p∆

3



3

1


-efault correlation

C= amp ppss= =

2

22370

=∆

d p

pf

C nD

q p ρ

3



3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons













1

2


ritin Pressure

2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9

1 10 100

te bm

5

6

7

8

9

2

3

4

5

6

7

8

9

2

3

4

5

6

7

8

9

2

3

10

100

1000

1ressure

1

te

500

$1

3581

$4

8312

$4

1023

$2

2596

2

4225





1

3







Eercise



1


Eercise $4


ode) i8le

) ltlt

$ressure) 1000 8si

el Conc)25 lbgal


ubing amp) 21 in

Casing amp) gt5 in




1

5



1



1



1



1

lt


Tubing s Casing



1



1

gt



urbulent lo

Bainar lo

igger 8i8e

Higher Roughness

Higher $ro88ant

Concentration

2



2

0


2



2

1




lo area reduction

High velocity

$er-oration si6e

luid 8ro8erties

2



2

2




hot ampensity

un $hasing D eoetry


2 3Prop4 5

2



2

3


Entry 0ole dia)eter

2



2


Cd ) Ratio o- the



8er-oration




Cd

2



2

5



8ass through


Felocity

$er-oration si6e

and Concentration

05 05 original Cd


ere 8u8ed


f i f i i




qk p i pf pf

2cong∆

2422370

C D N k

p

pf

ρ =

2422370

C D N k

p

pf

ρ = ρ

N p D

C






f i f i i




Pefratin ritin $

Assume C= amp


qk p i pf pf

2cong∆

P f i f i i




2

P f i f i i d l



2

gt





GBin el Correlation

C

xs p∆

3



3

0





GBin el Correlation



erf diameter


C

xs p∆

3



3

1


-efault correlation

C= amp ppss= =

2

22370

=∆

d p

pf

C nD

q p ρ

3



3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











1

2


ritin Pressure

2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9

1 10 100

te bm

5

6

7

8

9

2

3

4

5

6

7

8

9

2

3

4

5

6

7

8

9

2

3

10

100

1000

1ressure

1

te

500

$1

3581

$4

8312

$4

1023

$2

2596

2

4225





1

3







Eercise



1


Eercise $4


ode) i8le

) ltlt

$ressure) 1000 8si

el Conc)25 lbgal


ubing amp) 21 in

Casing amp) gt5 in




1

5



1



1



1



1

lt


Tubing s Casing



1



1

gt



urbulent lo

Bainar lo

igger 8i8e

Higher Roughness

Higher $ro88ant

Concentration

2



2

0


2



2

1




lo area reduction

High velocity

$er-oration si6e

luid 8ro8erties

2



2

2




hot ampensity

un $hasing D eoetry


2 3Prop4 5

2



2

3


Entry 0ole dia)eter

2



2


Cd ) Ratio o- the



8er-oration




Cd

2



2

5



8ass through


Felocity

$er-oration si6e

and Concentration

05 05 original Cd


ere 8u8ed


f i f i i




qk p i pf pf

2cong∆

2422370

C D N k

p

pf

ρ =

2422370

C D N k

p

pf

ρ = ρ

N p D

C






f i f i i




Pefratin ritin $

Assume C= amp


qk p i pf pf

2cong∆

P f i f i i




2

P f i f i i d l



2

gt





GBin el Correlation

C

xs p∆

3



3

0





GBin el Correlation



erf diameter


C

xs p∆

3



3

1


-efault correlation

C= amp ppss= =

2

22370

=∆

d p

pf

C nD

q p ρ

3



3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











1

3







Eercise



1


Eercise $4


ode) i8le

) ltlt

$ressure) 1000 8si

el Conc)25 lbgal


ubing amp) 21 in

Casing amp) gt5 in




1

5



1



1



1



1

lt


Tubing s Casing



1



1

gt



urbulent lo

Bainar lo

igger 8i8e

Higher Roughness

Higher $ro88ant

Concentration

2



2

0


2



2

1




lo area reduction

High velocity

$er-oration si6e

luid 8ro8erties

2



2

2




hot ampensity

un $hasing D eoetry


2 3Prop4 5

2



2

3


Entry 0ole dia)eter

2



2


Cd ) Ratio o- the



8er-oration




Cd

2



2

5



8ass through


Felocity

$er-oration si6e

and Concentration

05 05 original Cd


ere 8u8ed


f i f i i




qk p i pf pf

2cong∆

2422370

C D N k

p

pf

ρ =

2422370

C D N k

p

pf

ρ = ρ

N p D

C






f i f i i




Pefratin ritin $

Assume C= amp


qk p i pf pf

2cong∆

P f i f i i




2

P f i f i i d l



2

gt





GBin el Correlation

C

xs p∆

3



3

0





GBin el Correlation



erf diameter


C

xs p∆

3



3

1


-efault correlation

C= amp ppss= =

2

22370

=∆

d p

pf

C nD

q p ρ

3



3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











1


Eercise $4


ode) i8le

) ltlt

$ressure) 1000 8si

el Conc)25 lbgal


ubing amp) 21 in

Casing amp) gt5 in




1

5



1



1



1



1

lt


Tubing s Casing



1



1

gt



urbulent lo

Bainar lo

igger 8i8e

Higher Roughness

Higher $ro88ant

Concentration

2



2

0


2



2

1




lo area reduction

High velocity

$er-oration si6e

luid 8ro8erties

2



2

2




hot ampensity

un $hasing D eoetry


2 3Prop4 5

2



2

3


Entry 0ole dia)eter

2



2


Cd ) Ratio o- the



8er-oration




Cd

2



2

5



8ass through


Felocity

$er-oration si6e

and Concentration

05 05 original Cd


ere 8u8ed


f i f i i




qk p i pf pf

2cong∆

2422370

C D N k

p

pf

ρ =

2422370

C D N k

p

pf

ρ = ρ

N p D

C






f i f i i




Pefratin ritin $

Assume C= amp


qk p i pf pf

2cong∆

P f i f i i




2

P f i f i i d l



2

gt





GBin el Correlation

C

xs p∆

3



3

0





GBin el Correlation



erf diameter


C

xs p∆

3



3

1


-efault correlation

C= amp ppss= =

2

22370

=∆

d p

pf

C nD

q p ρ

3



3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











1

5



1



1



1



1

lt


Tubing s Casing



1



1

gt



urbulent lo

Bainar lo

igger 8i8e

Higher Roughness

Higher $ro88ant

Concentration

2



2

0


2



2

1




lo area reduction

High velocity

$er-oration si6e

luid 8ro8erties

2



2

2




hot ampensity

un $hasing D eoetry


2 3Prop4 5

2



2

3


Entry 0ole dia)eter

2



2


Cd ) Ratio o- the



8er-oration




Cd

2



2

5



8ass through


Felocity

$er-oration si6e

and Concentration

05 05 original Cd


ere 8u8ed


f i f i i




qk p i pf pf

2cong∆

2422370

C D N k

p

pf

ρ =

2422370

C D N k

p

pf

ρ = ρ

N p D

C






f i f i i




Pefratin ritin $

Assume C= amp


qk p i pf pf

2cong∆

P f i f i i




2

P f i f i i d l



2

gt





GBin el Correlation

C

xs p∆

3



3

0





GBin el Correlation



erf diameter


C

xs p∆

3



3

1


-efault correlation

C= amp ppss= =

2

22370

=∆

d p

pf

C nD

q p ρ

3



3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











1



1



1

lt


Tubing s Casing



1



1

gt



urbulent lo

Bainar lo

igger 8i8e

Higher Roughness

Higher $ro88ant

Concentration

2



2

0


2



2

1




lo area reduction

High velocity

$er-oration si6e

luid 8ro8erties

2



2

2




hot ampensity

un $hasing D eoetry


2 3Prop4 5

2



2

3


Entry 0ole dia)eter

2



2


Cd ) Ratio o- the



8er-oration




Cd

2



2

5



8ass through


Felocity

$er-oration si6e

and Concentration

05 05 original Cd


ere 8u8ed


f i f i i




qk p i pf pf

2cong∆

2422370

C D N k

p

pf

ρ =

2422370

C D N k

p

pf

ρ = ρ

N p D

C






f i f i i




Pefratin ritin $

Assume C= amp


qk p i pf pf

2cong∆

P f i f i i




2

P f i f i i d l



2

gt





GBin el Correlation

C

xs p∆

3



3

0





GBin el Correlation



erf diameter


C

xs p∆

3



3

1


-efault correlation

C= amp ppss= =

2

22370

=∆

d p

pf

C nD

q p ρ

3



3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











1

lt


Tubing s Casing



1



1

gt



urbulent lo

Bainar lo

igger 8i8e

Higher Roughness

Higher $ro88ant

Concentration

2



2

0


2



2

1




lo area reduction

High velocity

$er-oration si6e

luid 8ro8erties

2



2

2




hot ampensity

un $hasing D eoetry


2 3Prop4 5

2



2

3


Entry 0ole dia)eter

2



2


Cd ) Ratio o- the



8er-oration




Cd

2



2

5



8ass through


Felocity

$er-oration si6e

and Concentration

05 05 original Cd


ere 8u8ed


f i f i i




qk p i pf pf

2cong∆

2422370

C D N k

p

pf

ρ =

2422370

C D N k

p

pf

ρ = ρ

N p D

C






f i f i i




Pefratin ritin $

Assume C= amp


qk p i pf pf

2cong∆

P f i f i i




2

P f i f i i d l



2

gt





GBin el Correlation

C

xs p∆

3



3

0





GBin el Correlation



erf diameter


C

xs p∆

3



3

1


-efault correlation

C= amp ppss= =

2

22370

=∆

d p

pf

C nD

q p ρ

3



3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











1



1

gt



urbulent lo

Bainar lo

igger 8i8e

Higher Roughness

Higher $ro88ant

Concentration

2



2

0


2



2

1




lo area reduction

High velocity

$er-oration si6e

luid 8ro8erties

2



2

2




hot ampensity

un $hasing D eoetry


2 3Prop4 5

2



2

3


Entry 0ole dia)eter

2



2


Cd ) Ratio o- the



8er-oration




Cd

2



2

5



8ass through


Felocity

$er-oration si6e

and Concentration

05 05 original Cd


ere 8u8ed


f i f i i




qk p i pf pf

2cong∆

2422370

C D N k

p

pf

ρ =

2422370

C D N k

p

pf

ρ = ρ

N p D

C






f i f i i




Pefratin ritin $

Assume C= amp


qk p i pf pf

2cong∆

P f i f i i




2

P f i f i i d l



2

gt





GBin el Correlation

C

xs p∆

3



3

0





GBin el Correlation



erf diameter


C

xs p∆

3



3

1


-efault correlation

C= amp ppss= =

2

22370

=∆

d p

pf

C nD

q p ρ

3



3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











1

gt



urbulent lo

Bainar lo

igger 8i8e

Higher Roughness

Higher $ro88ant

Concentration

2



2

0


2



2

1




lo area reduction

High velocity

$er-oration si6e

luid 8ro8erties

2



2

2




hot ampensity

un $hasing D eoetry


2 3Prop4 5

2



2

3


Entry 0ole dia)eter

2



2


Cd ) Ratio o- the



8er-oration




Cd

2



2

5



8ass through


Felocity

$er-oration si6e

and Concentration

05 05 original Cd


ere 8u8ed


f i f i i




qk p i pf pf

2cong∆

2422370

C D N k

p

pf

ρ =

2422370

C D N k

p

pf

ρ = ρ

N p D

C






f i f i i




Pefratin ritin $

Assume C= amp


qk p i pf pf

2cong∆

P f i f i i




2

P f i f i i d l



2

gt





GBin el Correlation

C

xs p∆

3



3

0





GBin el Correlation



erf diameter


C

xs p∆

3



3

1


-efault correlation

C= amp ppss= =

2

22370

=∆

d p

pf

C nD

q p ρ

3



3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











2

0


2



2

1




lo area reduction

High velocity

$er-oration si6e

luid 8ro8erties

2



2

2




hot ampensity

un $hasing D eoetry


2 3Prop4 5

2



2

3


Entry 0ole dia)eter

2



2


Cd ) Ratio o- the



8er-oration




Cd

2



2

5



8ass through


Felocity

$er-oration si6e

and Concentration

05 05 original Cd


ere 8u8ed


f i f i i




qk p i pf pf

2cong∆

2422370

C D N k

p

pf

ρ =

2422370

C D N k

p

pf

ρ = ρ

N p D

C






f i f i i




Pefratin ritin $

Assume C= amp


qk p i pf pf

2cong∆

P f i f i i




2

P f i f i i d l



2

gt





GBin el Correlation

C

xs p∆

3



3

0





GBin el Correlation



erf diameter


C

xs p∆

3



3

1


-efault correlation

C= amp ppss= =

2

22370

=∆

d p

pf

C nD

q p ρ

3



3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











2

1




lo area reduction

High velocity

$er-oration si6e

luid 8ro8erties

2



2

2




hot ampensity

un $hasing D eoetry


2 3Prop4 5

2



2

3


Entry 0ole dia)eter

2



2


Cd ) Ratio o- the



8er-oration




Cd

2



2

5



8ass through


Felocity

$er-oration si6e

and Concentration

05 05 original Cd


ere 8u8ed


f i f i i




qk p i pf pf

2cong∆

2422370

C D N k

p

pf

ρ =

2422370

C D N k

p

pf

ρ = ρ

N p D

C






f i f i i




Pefratin ritin $

Assume C= amp


qk p i pf pf

2cong∆

P f i f i i




2

P f i f i i d l



2

gt





GBin el Correlation

C

xs p∆

3



3

0





GBin el Correlation



erf diameter


C

xs p∆

3



3

1


-efault correlation

C= amp ppss= =

2

22370

=∆

d p

pf

C nD

q p ρ

3



3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











2

2




hot ampensity

un $hasing D eoetry


2 3Prop4 5

2



2

3


Entry 0ole dia)eter

2



2


Cd ) Ratio o- the



8er-oration




Cd

2



2

5



8ass through


Felocity

$er-oration si6e

and Concentration

05 05 original Cd


ere 8u8ed


f i f i i




qk p i pf pf

2cong∆

2422370

C D N k

p

pf

ρ =

2422370

C D N k

p

pf

ρ = ρ

N p D

C






f i f i i




Pefratin ritin $

Assume C= amp


qk p i pf pf

2cong∆

P f i f i i




2

P f i f i i d l



2

gt





GBin el Correlation

C

xs p∆

3



3

0





GBin el Correlation



erf diameter


C

xs p∆

3



3

1


-efault correlation

C= amp ppss= =

2

22370

=∆

d p

pf

C nD

q p ρ

3



3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











2

3


Entry 0ole dia)eter

2



2


Cd ) Ratio o- the



8er-oration




Cd

2



2

5



8ass through


Felocity

$er-oration si6e

and Concentration

05 05 original Cd


ere 8u8ed


f i f i i




qk p i pf pf

2cong∆

2422370

C D N k

p

pf

ρ =

2422370

C D N k

p

pf

ρ = ρ

N p D

C






f i f i i




Pefratin ritin $

Assume C= amp


qk p i pf pf

2cong∆

P f i f i i




2

P f i f i i d l



2

gt





GBin el Correlation

C

xs p∆

3



3

0





GBin el Correlation



erf diameter


C

xs p∆

3



3

1


-efault correlation

C= amp ppss= =

2

22370

=∆

d p

pf

C nD

q p ρ

3



3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











2


Cd ) Ratio o- the



8er-oration




Cd

2



2

5



8ass through


Felocity

$er-oration si6e

and Concentration

05 05 original Cd


ere 8u8ed


f i f i i




qk p i pf pf

2cong∆

2422370

C D N k

p

pf

ρ =

2422370

C D N k

p

pf

ρ = ρ

N p D

C






f i f i i




Pefratin ritin $

Assume C= amp


qk p i pf pf

2cong∆

P f i f i i




2

P f i f i i d l



2

gt





GBin el Correlation

C

xs p∆

3



3

0





GBin el Correlation



erf diameter


C

xs p∆

3



3

1


-efault correlation

C= amp ppss= =

2

22370

=∆

d p

pf

C nD

q p ρ

3



3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











2

5



8ass through


Felocity

$er-oration si6e

and Concentration

05 05 original Cd


ere 8u8ed


f i f i i




qk p i pf pf

2cong∆

2422370

C D N k

p

pf

ρ =

2422370

C D N k

p

pf

ρ = ρ

N p D

C






f i f i i




Pefratin ritin $

Assume C= amp


qk p i pf pf

2cong∆

P f i f i i




2

P f i f i i d l



2

gt





GBin el Correlation

C

xs p∆

3



3

0





GBin el Correlation



erf diameter


C

xs p∆

3



3

1


-efault correlation

C= amp ppss= =

2

22370

=∆

d p

pf

C nD

q p ρ

3



3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons












qk p i pf pf

2cong∆

2422370

C D N k

p

pf

ρ =

2422370

C D N k

p

pf

ρ = ρ

N p D

C






f i f i i




Pefratin ritin $

Assume C= amp


qk p i pf pf

2cong∆

P f i f i i




2

P f i f i i d l



2

gt





GBin el Correlation

C

xs p∆

3



3

0





GBin el Correlation



erf diameter


C

xs p∆

3



3

1


-efault correlation

C= amp ppss= =

2

22370

=∆

d p

pf

C nD

q p ρ

3



3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons












Pefratin ritin $

Assume C= amp


qk p i pf pf

2cong∆

P f i f i i




2

P f i f i i d l



2

gt





GBin el Correlation

C

xs p∆

3



3

0





GBin el Correlation



erf diameter


C

xs p∆

3



3

1


-efault correlation

C= amp ppss= =

2

22370

=∆

d p

pf

C nD

q p ρ

3



3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons












2

P f i f i i d l



2

gt





GBin el Correlation

C

xs p∆

3



3

0





GBin el Correlation



erf diameter


C

xs p∆

3



3

1


-efault correlation

C= amp ppss= =

2

22370

=∆

d p

pf

C nD

q p ρ

3



3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











2

gt





GBin el Correlation

C

xs p∆

3



3

0





GBin el Correlation



erf diameter


C

xs p∆

3



3

1


-efault correlation

C= amp ppss= =

2

22370

=∆

d p

pf

C nD

q p ρ

3



3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











3

0





GBin el Correlation



erf diameter


C

xs p∆

3



3

1


-efault correlation

C= amp ppss= =

2

22370

=∆

d p

pf

C nD

q p ρ

3



3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











3

1


-efault correlation

C= amp ppss= =

2

22370

=∆

d p

pf

C nD

q p ρ

3



3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











3

2


Linear correlation

402210

1

minus=

minus

a

d

eC micro

2

22370

=∆

d p

pf C nD

q p ρ

ps= ps=

( )151147880 minus=

n

a k micro

3

6li k l l ti



3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











3

3



60

761250

1

minus=

minus

d a

eC micro

2

22370

+∆=∆d p

xs pf C nD

q p p ρ

153


ea xs p micro

3

F P PT



3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











3


FracPro PT

3



5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











5



i



TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











TrtusityTrtusity


stressesstresses

mi m




m

mi

T t itT t it



TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











TrtusityTrtusity




δδminmin


Prpamp

Ph iPhasing



PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

gtet1

gtet2

gtet3

gtet4










TI

PumpRate

Wellhead Pressure





TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











PhasingPhasing

Ph iPhasing



PhasingPhasing



amp

7

7

17 amp 8 + 7 2 9


B

r e a k d o w n

P r e r e

$

amp $ d ( )

n $ o n d r $ n +

) r a r e - e n $ o n


3000

2000

4000

5000

6000

Phasing



$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

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gauges

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Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

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gtet2

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regimeregime






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91120040910 0920 0930 0940 0950 1000

91120041010

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1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

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6

8

10

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16

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20

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oas






eoetry

hot density

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100 esh and

3050 auKite


500 to 5000 gallons

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δδminmin










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Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


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regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

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91120040910 0920 0930 0940 0950 1000

91120041010

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1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

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2

4

6

8

10

12

14

16

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20

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all ealers

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oas






eoetry

hot density

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100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



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amp

7

7

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r e a k d o w n

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3000

2000

4000

5000

6000

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$$-- --$$--

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δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



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B N

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8ro8erties

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gauges

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Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

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regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

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91120040910 0920 0930 0940 0950 1000

91120041010

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0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

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Rate schedule







all ealers

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oas






eoetry

hot density

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100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











$$-- --$$--

Fracture -irection

Phasing







δδminmin










wellwell







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4ntry ritin



4nt itin4ntry ritin




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W B F

r i c t i o n P

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Pu)p $ate







8ro8erties

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gauges

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Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

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regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

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91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

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4

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86

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all ealers

e8orary ridging

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oas






eoetry

hot density

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100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



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δδminmin










wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

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Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

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Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

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regimeregime






regimeregime







directionI


9idth liitation


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91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

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ABC

CA

8654321

11109876

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Rate schedule







all ealers

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oas






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hot density

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100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons

















wellwell







Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

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8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

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Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

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regimeregime






regimeregime







directionI


9idth liitation


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91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

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4

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6idt





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ampiverting agents


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Rate schedule







all ealers

e8orary ridging

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Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons













Assume 3nwf = $


qk pinwf nwf

50cong∆

















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

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Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

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regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

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91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

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6idt





86

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50

T

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a-ter shut in


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Acid brea don

ampiverting agents


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Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons
























4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



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gauges

Ti)e

Pu)p

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Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

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TI

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regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

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T

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Rate schedule







all ealers

e8orary ridging

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Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons




















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

$ate

Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

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gtet3

gtet4

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regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

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ampiverting agents


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Rate schedule







all ealers

e8orary ridging

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Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons
















4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


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8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

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Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

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PumpRate

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PumpRate

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regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

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T

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a-ter shut in


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ampiverting agents


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Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons













4ntry ritin



4nt itin4ntry ritin




B N

W B F

r i c t i o n P

r e s s u r e

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8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

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Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

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PumpRate

Wellhead Pressure





TI

PumpRate

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regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons












B N

W B F

r i c t i o n P

r e s s u r e

Tortuosity


Pu)p $ate







8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

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Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

20

25

30


54321

gtet1

gtet2

gtet3

gtet4

lt-lt

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gtet2

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PumpRate

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PumpRate

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regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons












8ro8erties

$er-ored by ra8idly


ste8sI



geoetry


gauges

Ti)e

Pu)p

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Well0ead Pressure

Step1-on Test




Miirc -te o Test

10102002091340 091400 091420 091440 091500 091520 091540 091600

10102002091620

3000

3250

3500

3750

4000

4250

4500

4750

5000

5250

5500

A

0

5

10

15

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A

0

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B

0

2

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11109876

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hot density

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100 esh and

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500 to 5000 gallons

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Miirc -te o Test

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3250

3500

3750

4000

4250

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4750

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91120040910 0920 0930 0940 0950 1000

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2000

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4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

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6

8

10

12

14

16

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20

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11109876

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4

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86

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50

T

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a-ter shut in


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Acid brea don

ampiverting agents


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Rate schedule







all ealers

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Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

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el pillsel pills



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PumpRate

Wellhead Pressure





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regimeregime






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directionI


9idth liitation


$reature creen uts

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91120040910 0920 0930 0940 0950 1000

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Time

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2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons












TI

PumpRate

Wellhead Pressure





TI

PumpRate

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regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

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91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons












TI

PumpRate

Wellhead Pressure












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

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91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

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8654321

11109876

5

4

Frature

6idt





86

987

50

T

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ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

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el pillsel pills



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regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

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12

14

16

18

20

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ABC

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8654321

11109876

5

4

Frature

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86

987

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T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons















regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons












regimeregime






regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


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Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

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el pillsel pills



500 to 3000 gallons












regimeregime







directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons














directionI


9idth liitation


$reature creen uts

Sreen utSreen ut




91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons












91120040910 0920 0930 0940 0950 1000

91120041010

Time

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

A

0

10

20

30

40

50

B

0

2

4

6

8

10

12

14

16

18

20

C



ABC

CA

8654321

11109876

5

4

Frature

6idt





86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons












86

987

50

T

P r e s s u r e



a-ter shut in


Tip Screen ut7







Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons












Acid brea don

ampiverting agents


and lugs


Rate schedule







all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons















all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons












all ealers

e8orary ridging

Agents

Fiscous els

oas






eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons













eoetry

hot density

$in $oint tiulation

Biited ntry






100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons












100 esh and

3050 auKite


500 to 5000 gallons

el pillsel pills



el pillsel pills



500 to 3000 gallons











el pillsel pills



500 to 3000 gallons


















Documents

Entry Friction Analysis