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1 WWWEST 2009 – Lyngby, Denmark 5/6/2009 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 the Danish Hydraulic Institute, DHI Technical 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

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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

    e

    l

    D

    e

    s

    c

    r

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    d

    e

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    g

    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

    o

    m

    p

    u

    t

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    C

    a

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    c

    u

    l

    a

    t

    i

    o

    n

    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