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EMPIRICAL METHODS IN UNDERGROUND MINE DESIGN
BY RIMAS PAKALNIS, Phd, P.Eng UBC EMERITUS PROFESSOR
PAKALNIS & ASSOCIATES
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TALK SUMMARIZES APPLICATIONS/IMPLEMENTATION OF EMPIRICAL DESIGN METHODS THAT HAS BEEN ESTABLISHED AT UBC / INDUSTRY OVER THE PAST 30 YEARS WITH OVER 170 UNDERGROUND OPERATIONS CONTRIBUTING EITHER THROUGH CONSULTING/RESEACH/DATABASE/VERIFICATION/IMPLEMENTATION
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THE DESIGN PROCESS REQUIRES ALL THREE: NUMERICAL CODES, ANALYTICAL TOOLS AND OBSERVATIONAL TECHNIQUES AS TOOLS IN THE OVERALL DESIGN PROCESS WHICH INCORPORATE AN EMPIRICAL COMPONENT TOWARDS THE DESIGN
STRESS ANALYSIS
FABRIC ANALYSIS
ROCK MASS CLASSIFICATION
INDUCED STRESS > ROCK MASS STRENGTH
YIELD
MODIFY GEOMETRY
MODIFY MINING METHOD
SUPPORT
DESTRESS
SEISMIC
MONITORING
OTHER
ANALYTICAL DESIGNNUMERICAL MODELLING
STRESS EFFECTEMPIRICAL DESIGN SOLUTION
LIMIT SPAN
SUPPORT WEDGE
SEQUENCE
OTHER
EXCAVATION AND MONITORING
RE-EVALUATE MINE PLAN
BURST
YESNO
YESNO
YES
STRESS
STRUCTUREROCK MASS
IS STRUCTURE CONTROLLING STABILITY
DESIGN METHODOLOGY INCORPORATING STRESS, STRUCTURE AND THE ROCK MASS
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KNOW THY DATA BASE AS EMPIRICAL DESIGN REQUIRES INTERPOLATION NOT
EXTRAPOLATION!
USE OF EMPIRICAL METHODS INHERENTLY MADE THESE SYSTEMS MORE RELIABLE AS THEY ARE REFINED/VERIFIED.
EMPIRICAL METHODS ARE EVOLVING AND APPLICATION AT TIMES CONFUSING METHODS IN THIS TALK HAVE A STRONG ANALYTICAL FOUNDATION COUPLED WITH EXTENSIVE FIELD
OBSERVATION TO ARRIVE AT A CALIBRATED EMPIRICAL APPROACH TOWARDS THE SOLUTION TO A GIVEN PROBLEM.
GEOMECHANICS DESIGN GROUP
UB
C M
ININ
G &
MIN
ER
AL
PR
OC
ES
S E
NG
INE
ER
ING
ROCK MASS
CLASSIFICATION
RMR (1976)
Q - SYSTEM (1974)
FOUNDATION
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STOPE DESIGN
EMPIRICAL ESTIMATION OF WALL SLOUGH (ELOS) AFTER CLARK (1988).
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SURFACE ASSESSMENT FOR IRREGULAR GEOMETRY
GENERALLY FOR OPEN STOPE WALL SURFACES THE RADIUS FACTOR IS 1.1 TIMES THE HYDRAULIC RADIUS IN MAGNITUDE FOR SPANS LESS THAN THREE TIMES THE HEIGHT.
CRITICAL SPAN CURVE FOR MINE ENTRY METHODS EMPLOYING LOCAL SUPPORT ONLY
Stable Excavation no uncontrolled falls of ground. no movement of back observed no extraordinary support measures have been implemented.
Potentially Unstable Excavation extra ground support may have been installed to prevent potential falls of ground movement within back increased frequency of ground working
Unstable Excavation the area has collapsed failure above the back is approximately 0.5 x span in the absence of major structure
support was not effective to maintain stability.
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SPAN DESIGN
Pillar Class 1 Stable Pillar (FS>1.4)
No sign of stress induced fracturing.
Pillar Class 2 Unstable Pillar (1.21.4)
Fracturing in corners only.
Pillar Class 3 Unstable Pillar (1.11.2)
Fracturing in pillar walls.
Fractures < pillar height in length.
Fracture aperture 1/2 pillar height
in length. Fracture aperture > 5mm but less than 10mm.
Pillar Class 5 Failed Pillar (FS 10mm, fractures throughout pillar.
PILLAR DESIGN
PILLAR STABILITY GRAPH 12
CONDITIONS FOR A) GRAVITY FALL AND B) SLIDING INSTABILITY FOR WEDGE WITHIN BACK OF TUNNEL
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FREE FALLING
WEDGE
BOND STRENGTH
BOLT CAPACITY
WFREE FALLING
WEDGE
BOND STRENGTH
BOLT CAPACITY
W
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FACTOR OF SAFETY ANALYSIS DEAD WEIGHT
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DEPTH OF FAILURE 0.5 X SPAN (RMR)
CERRO LINDO-MILPO
SHOTCRETE AS CONFINING THE ROCK MASS INTO A SINGLE UNIT
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SUPPORT PROPERTIES
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Table 2. Fabric support requirements (after Grimstad and Barton, 1993) for 6m span.
SURFACE SUPPORT (AFTER GRIMSTAD AND BARTON, 1993)
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INTERSECTION SUPPORT DEAD WEIGHT
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SCHEMATIC SHOWING TRANSITION OF WEAK ROCK MASS TO STRONGER AND EXISTING DATABASE.
WALL STABILITY GRAPH AS DEVELOPED FOR WEAK ROCK MASSES (PAKALNIS, 2007)
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1) STRENGTH R2 (25MPa) 4-2
2) RQD 25% 8
3) SPACING 50mm 5
4) CONDITON SLT OPN TO OPN 12-6
5) GRNWTR DRY 10
RATING 39-31%
STRUCTURE
DESIGN 35%
RMR CHARACTERIZATION MUDSTONE
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25% RMR: 3.5m HR, 20m H X 12m UNDER 1m ELOS.
Figure 6c. RMR versus round advance at Queenstake (Pakalnis, 2007).
LOADING OF 5M X 5M FACE AT BARRICK GOLDSTRIKE.
Figure 6f. Effect of arching on back of tunnel
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ARCH IS CRITICAL
PROFILE OF ARCH A2 PROFILE 5.2m WIDE X 6.2m HIGH (ARCHED BACK). DECLINE
PPV VERSUS SCALED DISTANCE FOR VARYING ROCK QUALITIES.
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Los crculos demarcados indican los barrenos de la tronadura anterior.
Nunca se debe perforar donde existan perforaciones previas ya que pueden contener restos de explosivo
Los nuevos barrenos estn indicados por la interseccin de las lneas de la grilla
Preparado por: Cristin Cceres crstnccrs@yahoo.com
1414 14 14
1413
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1313
1313
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12
10
9889
10
10
15151515
15 15
11
9889
74
0
7
10
6
7
6
4
2
13
610
6
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3
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'HANDLED' RQD (HRQD) WAS INTRODUCED, ROBERTSON (1988). THE HRQD IS MEASURED IN THE SAME WAY AS THE RQD, AFTER THE CORE HAS BEEN FIRMLY HANDLED IN AN ATTEMPT TO BREAK THE CORE INTO SMALLER FRAGMENTS. DURING HANDLING, THE CORE IS FIRMLY TWISTED AND BENT, BUT WITHOUT SUBSTANTIAL FORCE OR THE USE OF ANY TOOLS. THIS ATTEMPTS TO QUANTIFY SOUND CORE.
RQD THE ISRM(1978) DEFINITION: PIECES OF SOUND CORE OVER 10CM LONG THAT ARE EXPRESSED AS A PERCENTAGE OF THE LENGTH DRILLED.
DEERE(1988) TO ONLY INCORPORATE GOOD ROCK RECOVERED FROM AN INTERVAL OF A BOREHOLE AND NOT TO INCLUDE PROBLEMATIC ROCK THAT IS HIGHLY WEATHERED, SOFT, FRACTURED, SHEARED AND JOINTED AND COUNTED AGAINST THE ROCK MASS. THE ISRM FURTHER IDENTIFIES MATERIAL THAT IS OBVIOUSLY WEAKER THAN THE SURROUNDING ROCK SUCH AS OVER CONSOLIDATED GOUGE IS DISCOUNTED AS IT IS ONLY ABLE TO BE RECOVERED BY ADVANCED DRILLING TECHNIQUES.
HANDLED RQD.
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DESIGN OF UNDERCUT SILL SPANS AS FUNCTION OF SILL MAT THICKNESS, UNCONFINED COMPRESSIVE STRENGTH AND STOPE SPAN.
MINE %CEMENT SPAN SILL THICKNESS UCS COMMENTS REASON
(m) (m) (MPa) UNDER FILL
PASTE
1 RED LAKE MINE 10 6.1 3 1.5 DESIGN STRENGTHS GOVERN TIME STRESS ~2000m DEPTH
(~0.6m gap) TO MINE UNDER(14D-28D)
2a ANGLOGOLD(1999 VISIT) 6.5 7.6 4.6 5.5 CRF WEAK RMR ~25%+
2b MURRAY MINE 8% 9.1 4.6 6.9 CRF DESIGN
2c (QUEENSTAKE-2004) 8% 21 4.6 6.9 MINED REMOTE - NO CAVE
2" MINUS AGG
GO UNDER A MIN OF 14D,
WALL CRF 5-6% BINDER
JAM TIGHT TO BACK/STEEP
3 ESKAY 7 3 3 4 - 12 CRF(4MPa Design) WEAK RMR ~25%+
UCS is 11MPa(28Day)
4a TURQUOISE RIDGE 9 13.7 4 8.3 CRF TEST PANEL
4b 9 3.7 3 8.3 CRF DRIFT & FILL WEAK RMR ~25%+
4c 9 7.3 3 8.3 CRF PANEL
5 MIDAS 7 2.7 3 3.4 CRF WEAK RMR ~25%+
6 DEEP POST 6.75 4.9 4.3 4.8 CRF WEAK RMR ~25%+
GO UNDER IN 28DAYS
0.7 PASTE (FS=1.5)
7a STILLWATER - NYE 10 1.8 2.7 0.3 GO UNDER IN 7DAYS-28DAYS)
7b 2.4 2.7 0.5 (5% BINDER-0.5MPa UCS 28D)
7c 3 2.7 0.7 (7% BINDER-0.7MPa UCS 28D) STRESS~ 800m
7d 3.7 2.7 1 (10% BINDER-1MPa UCS 28D)
7e 4.3 2.7 1.4 (12% BINDER-1.2MPa UCS 28D)
7f 4.9 2.7 1.8
7g 5.5 2.7 2.3
7h 6.1 2.7 2.9
8 MIEKLE STH 7 4.6-6.1 4.6 5.5 CRF WEAK RMR ~25%+
BARRICK
9 Gold Fields - AU 10 5 5 4.45 CRF WEAK RMR ~25%+
10 Stratoni Mine 12.8 6-9 6 2 High Density Slurry WEAK RMR ~25%+
TVX (78% WT SOLIDS)
10% Cemented Hydraulic Fill
11 Galena - Coeur de Alene 10 3 3 2.5 (73-75% Wt Solids) STRESS ~1000m DEPTH
(includes 0.9m air gap) (UCS after 7 days)
GO UNDER IN 3 DAYS(2.4MPa UCS)
12 Lucky Friday - Hecla 8 2.4-4.6 3 4.8 8% Paste(COARSE TAILS) STRESS ~2000m DEPTH
(Gold Hunter) (includes 0.6m air gap) (no free water)
1.2MPa IN BACK AND 0.5MPa IN WALLS
13 Newcrest 12-24 6-8 5 1.2-1.5 DESIGN STRENGTHS GOVERN TIME WEAK RMR ~25%+
(Kencana Mine vs dry tuff TO GO UNDER PASTE 7D-28D
SPAN 6m UNDER PASTE
14 Lanfranchi Nickel Mines 4-8 6-12* 5 1.2-2 SPAN 12m INTERSECTIONS CABLED(6m) STRESS ~850m DEPTH
(Helmuth South) *inters TO GO UNDER PASTE 14D
GO UNDER IN 28 DAYS
15 Cortez Hills 7.8 6-11* 4.6 6 SPAN IS 6m WITH 11m AT INTERSECTIONS WEAK RMR ~15%+
(Barrick) *inters MAXIMUM TOP SIZE 5cm(2")
CEMENTED AGGREGATE FILL
16 Andaychagua Mine 14 5-15 3.5 16+ SPAN IS 15m WEAK RMR ~15%+
(Volcan) AGGREGATE FILL -3/4"
UNDERHAND CUT AND FILL MINING UNDER CEMENTED FILL
UNDERHAND CUT AND FILL DATABASE 30
EMPIRICAL DATABASE OF FILL STRENGTH VS. SPAN WIDTH AFTER PAKALNIS ET AL. (2006)
MIN
E%
CE
ME
NT
SP