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1WWWEST 2009 Lyngby, Denmark5/6/2009
Application of biofilm models in engineering design: a critical analysis of uncertainty
Presented by:Joshua P. Boltz
Seminar:Model Based Optimization of Biofilm Systems in Wastewater Treatment
Organized by:MOSTforWATER
in collaboration with theDanish Hydraulic Institute, DHITechnical University of Denmark, DTU
Ph.D. P.E., Biofilm Technologies Community of Practice Leader, CH2M HILL, 4350 W. Cypress Street, Suite 600, Tampa, FL, USA
2WWWEST 2009 Lyngby, Denmark5/6/2009
A more fundamental approach to describing biofilm reactors driving factors
Existing biofilm models Using biofilm models to describe biofilm-reactors Biofilm-reactor modules in WWTP models Introducing the concept of uncertainty to biofilm-
reactor models Discussing biofilm-reactor modeling uncertainty Conclusions Questions
Presentation Outline
3WWWEST 2009 Lyngby, Denmark5/6/2009
A more fundamental approach to describing biofilm reactors driving factors
Existing biofilm models Using biofilm models to describe biofilm-reactors Biofilm-reactor modules in WWTP models Introducing the concept of uncertainty to biofilm-
reactor models Discussing biofilm-reactor modeling uncertainty Conclusions Questions
Presentation Outline
4WWWEST 2009 Lyngby, Denmark5/6/2009
Models are commonly used in practice wastewater master planning WWTP design WWTP optimization Biological process pilot testing (and more)
Consultants and clients generally have confidence in the value added by WWTP simulation efforts
Benefits to biofilm reactors are attractive reliable robust easy to operate compact
Biofilm modelling has matured: deductive approach supports use in practice
A more fundamental approach to describing biofilm reactors driving factors
5WWWEST 2009 Lyngby, Denmark5/6/2009
A more fundamental approach to describing biofilm reactors driving factors
Existing biofilm models Using biofilm models to describe biofilm-reactors Biofilm-reactor modules in WWTP models Introducing the concept of uncertainty to biofilm-
reactor models Discussing biofilm-reactor modeling uncertainty Conclusions Questions
Presentation Outline
6WWWEST 2009 Lyngby, Denmark5/6/2009
Model Compartments and Biofilm Processes Considered
Compartments: Completely-mixed bulk phase
Water Suspended biomass
Mass-transfer boundary layer (LL) Biofilm (LF) Biofilm carrier (a [=] m2 m-3)
Major Biofilm Processes: Flux of soluble substrate i
Ji [=] g m-2 d-1 External mass transfer Internal mass transfer & reaction Electron donor vs. acceptor limitations
TSS detachment/attachment
=
=
n
kkFF XX
1,
LF LL Bulk-phase
Si
z
JJ = SB,i
SLF,iSF,i
a
7WWWEST 2009 Lyngby, Denmark5/6/2009
Existing biofilm modelsSpatial complexity
1980 1985 1990 1995
M
o
d
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l
D
e
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c
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1975
Steady-state Pseudo-
Analytical 1 Analytical 2 Numerical 3
1-D heterogeneous
3-Dflow
2000 2005
S
zz
S
Dynamic Numerical 4,5, 6
Dynamic Numerical 7,8
Year
C
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m
p
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t
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a
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d
C
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a
t
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T
i
m
e
1-D homogeneous
2-Dno flow
SBSLF
SBSLF
LFLF LL LL
1 Williamson and McCarty (1976)2 Harremos (1978)
3 Harris and Hansford (1978)4 Kissel et al. (1984)
5 Wanner and Gujer (1986)6 Wanner and Reichert (1996)
7 Picioreanu et al. (1998)8 Picioreanu et al. (2003)
*www.biofilms.bt.tudelft.nl/material.html
* *
8WWWEST 2009 Lyngby, Denmark5/6/2009
A more fundamental approach to describing biofilm reactors driving factors
Existing biofilm models Using biofilm models to describe biofilm-reactors Biofilm-reactor modules in WWTP models Introducing the concept of uncertainty to biofilm-
reactor models Discussing biofilm-reactor modeling uncertainty Conclusions Questions
Presentation Outline
9WWWEST 2009 Lyngby, Denmark5/6/2009
Complex model structure Biofilm development/experiment1 day 3 day
MODEL OBJECTIVE
The type of biofilm model used is objective specific.No consensus biofilm model exists as for activated sludge
Biofilm reactor design Simple model
z
z
S
SBSLF
LF LL
S
z z
R1 R2 RnL
10WWWEST 2009 Lyngby, Denmark5/6/2009
The "best" model for a particular application is the simplest model that will answer the question
MODEL OBJECTIVE
The type of biofilm model used is objective specific.No consensus biofilm model exists as for activated sludge
Biofilm reactor design Simple model
z
z
S
SBSLF
LF LL
S
z z
R1 R2 RnL
11WWWEST 2009 Lyngby, Denmark5/6/2009
A more fundamental approach to describing biofilm reactors driving factors
Existing biofilm models Using biofilm models to describe biofilm-reactors Biofilm-reactor modules in WWTP models Introducing the concept of uncertainty to biofilm-
reactor models Discussing biofilm-reactor modeling uncertainty Conclusions Questions
Presentation Outline
12WWWEST 2009 Lyngby, Denmark5/6/2009
Description of biofilm reactor models used in engineering practice
Table: Boltz, J.P., Morgenroth, E., Sen, D. (2009). Mathematical modelling of biofilms and biofilm reactors for engineering design. Wat. Sci. Tech. submitted.
13WWWEST 2009 Lyngby, Denmark5/6/2009
Description of biofilm reactor models used in engineering practice
Table: Boltz, J.P., Morgenroth, E., Sen, D. (2009). Mathematical modelling of biofilms and biofilm reactors for engineering design. Wat. Sci. Tech. submitted.
14WWWEST 2009 Lyngby, Denmark5/6/2009
Not all biofilm reactors were created equalRBC (top) and TF (bottom) MBBR and IFAS BAF (top) and MBfR (bottom)
Photos courtesy: Envirex, WesTech, Veolia, Severn Trent, and Applied Process Technology
15WWWEST 2009 Lyngby, Denmark5/6/2009
Not all biofilm reactors were created equal
Typical Biofilm Thicknesses for a Variety of Biofilm Reactors
Typical biofilm thicknss (m) Type of Biofilm Reactor
Lower Estimate Upper Estimate
Moving Bed Biofilm Reactor 50 400
Biologically Active Filters 20 300
Fluidized Bed Biofilm Reactors 50 400
Rotating Biological Contactors 200 2,000
Trickling Filters 200 2,000
Membrane Biofilm Reactors 50 500
16WWWEST 2009 Lyngby, Denmark5/6/2009
Modeling Nitrifying Trickling Filters
Figure. Actual and Predicted Effluent form a NTF (Parker et al., 1995). Predicted Effluent was Calculated Using the Modified Gujer and Boller Model.
( ) ( ) zkNBN
NBON eSK
STJETzJ
+=
,
,
max,23.4,
Modified Gujer and Boller Model (Parker et al. 1995)
17WWWEST 2009 Lyngby, Denmark5/6/2009
Nitrifying Trickling Filters, Complex System Dynamics
18WWWEST 2009 Lyngby, Denmark5/6/2009
Modeling Integrated Fixed-Film Activated Sludge
Pro2D (Boltz et al. 2009a, 2009b)
19WWWEST 2009 Lyngby, Denmark5/6/2009
A more fundamental approach to describing biofilm reactors driving factors
Existing biofilm models Using biofilm models to describe biofilm-reactors Biofilm-reactor modules in WWTP models Introducing the concept of uncertainty to biofilm-
reactor models Discussing biofilm-reactor modeling uncertainty Conclusions Questions
Presentation Outline
20WWWEST 2009 Lyngby, Denmark5/6/2009
What are the sources of uncertainty when modelling biofilm reactors in engineering practice?
Are adequate methods and techniques available, quantitative or qualitative, to evaluate model accuracy and sources of uncertainty?
How large is the gap between supporting basic research and existing biofilm models, dynamical and steady state used for engineering practice?
Do transparent and uniform biofilm reactor model calibration methods exist? If so, what is the appropriate level of calibration/validation?
What is the risk, and how does one quantify risk, of existing biofilm-reactor model misapplication?
Belia, E., Amerlinck Y., Benedetti L., Johnson B., Sin G., Vanrolleghem P., Gernaey K., Gillot S., Neumann M., Rieger L., Shaw A., and Villez, K. (2009). Wastewater treatment modelling: dealing with uncertainties. Wat. Sci. Tech. Submitted.
Uncertainty concept in WWTP modelsgeneral description by Belia et al. (2009)
21WWWEST 2009 Lyngby, Denmark5/6/2009
Some sources of uncertainty in biofilm reactor modeling
LF LL Bulk-phase
Si
z
SB,i
SLF,iSF,i
a
Uncertainty Extent of mass transfer
resistance external to the biofilm surface (RL = LL/D; LL = ? m)
Fate of particulate substrate ( ) (hydrolysis, degradation, attachment)
Biofilm distribution in reactor and its impact
Biofilm detachment ( )
attach?
hydrolyze or detach?
hydrolyze or enjoy the ride?
22WWWEST 2009 Lyngby, Denmark5/6/2009
A more fundamental approach to describing biofilm reactors driving factors
Existing biofilm models Using biofilm models to describe biofilm-reactors Biofilm-reactor modules in WWTP models Introducing the concept of uncertainty to biofilm-
reactor models Discussing biofilm-reactor modeling uncertainty:
the mass transfer boundary layer problem Conclusions Questions
Presentation Outline
23WWWEST 2009 Lyngby, Denmark5/6/2009
Modeling the Mass Transfer Boundary Layer
Shc
LLL =
nmBA ScReSh +=
1.
2.
4.
cLU =Re ?=U
3.iaqD ,
Sc =
rLC
LC
24WWWEST 2009 Lyngby, Denmark5/6/2009
Why be Concerned with Velocity?Should one not Simply Fit LL?
(1) As reported by manufacturer
12 mm x 12mm660 m2/m3ABC 5Siemens Water Technologies Corp.
15 mm x 22mm450 m2/m3ActiveCell 450Infilco Degremont, Inc.
12 mm x 25 mm500 m2/m3K3
7 mm x 9 mm500 m2/m3K1Kruger Inc.
Carrier Photograph
Nominal CarrierDimensions
(Height x Diameter)
Bulk Specific Area(1)
Carrier NameManufacturer
Comparison of Plastic Biofilm Carriers Potential Project Vendors
25WWWEST 2009 Lyngby, Denmark5/6/2009
Mass transfer boundary layer
Table: Boltz, J.P., Morgenroth, E., Sen, D. (2009). Mathematical modelling of biofilms and biofilm reactors for engineering design. Wat. Sci. Tech. submitted.
26WWWEST 2009 Lyngby, Denmark5/6/2009
0
1
2
3
4
5
6
7
8
9
10
0 200 400 600 800 1,000 1,200 1,400 1,600 1,800
V = 0.17 cm/sV = 0.59 cm/sV = 2.05 cm/s
O
x
y
g
e
n
c
o
n
c
e
n
t
r
a
t
i
o
n
,
S
(
m
g
/
L
)
Distance from the substratum (microns)
SLF1
SLF3
SLF2
LL,3LL,2LL,1
Biofilm thickness, LF Bulk liquid
U1= 147 m hr-1
U2= 510 m hr-1
U3= 1,711 m hr-1
Variation in LL can lead to significant variability in SLF,i(consequently changing JLF,i)
Figure:Boltz, J.P., Morgenroth, E., Sen, D. (2009). Mathematical modelling of biofilms and biofilm reactors for engineering design. Wat. Sci. Tech. submitted.Data: Zhang, T.C., and Bishop, P.L. (1994). Experimental determination of the dissolved oxygen boundary layer and mass transfer resistance near the
fluid-biofilm interface. Wat. Sci. Tech. 30(11). 47-58.
27WWWEST 2009 Lyngby, Denmark5/6/2009
0
1
2
3
4
5
6
7
8
9
10
0 200 400 600 800 1,000 1,200 1,400 1,600 1,800
V = 0.17 cm/sV = 0.59 cm/sV = 2.05 cm/s
O
x
y
g
e
n
c
o
n
c
e
n
t
r
a
t
i
o
n
,
S
(
m
g
/
L
)
Distance from the substratum (microns)
SLF1
SLF3
SLF2
LL,3LL,2LL,1
Biofilm thickness, LF Bulk liquid
U1= 147 m hr-1
U2= 510 m hr-1
U3= 1,711 m hr-1
Variation in LL can lead to significant variability in SB,i (consequently JLF,i)
Figure:Boltz, J.P., Morgenroth, E., Sen, D. (2009). Mathematical modelling of biofilms and biofilm reactors for engineering design. Wat. Sci. Tech. submitted.Data: Zhang, T.C., and Bishop, P.L. (1994). Experimental determination of the dissolved oxygen boundary layer and mass transfer resistance near the
fluid-biofilm interface. Wat. Sci. Tech. 30(11). 47-58.
Cause:Insufficient basic research exists.
Effect:Many uncertainties associated with biofilm-reactor models.
28WWWEST 2009 Lyngby, Denmark5/6/2009
Calibration
Transparent and consistent biofilm model calibration methods do not exist.
Most biofilm-reactor model users do not know the role of radio dials nor how much to adjust the dial.
The true effectiveness of biofilm models cannot be gauged if over calibration is required
The inherent danger is creating a much larger black boxthan existed with previous design protocol
100
LL LF kde or kat
100
29WWWEST 2009 Lyngby, Denmark5/6/2009
A more fundamental approach to describing biofilm reactors driving factors
Existing biofilm models Using biofilm models to describe biofilm-reactors Biofilm-reactor modules in WWTP models Introducing the concept of uncertainty to biofilm-
reactor models Discussing biofilm-reactor modeling uncertainty:
the mass transfer boundary layer problem Conclusions Questions
Presentation Outline
30WWWEST 2009 Lyngby, Denmark5/6/2009
Conclusion
Practice demands a more fundamental biofilm reactor design approach. 1-D biofilm models are adequate for engineering practice. Not all biofilm reactors are well described with existing biofilm reactor
models. No consensus biofilm model exists as for activated sludge. Uncertainty in existing biofilm reactor models includes:
extent of RL fate of Xi biofilm distribution detachment
MTBL thickness exemplifies the existence inadequate methods of quantifying parameters of interest
Transparent and consistent biofilm model calibration methods do not exist.
31WWWEST 2009 Lyngby, Denmark5/6/2009
Questions