Managing Risk: how can process models help - Evangelia Belia, Primodal US Inc. Michael Lunn, Primodal US Inc.

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Managing Risk: how can process models help - Evangelia Belia, Primodal US Inc. Michael Lunn, Primodal US Inc.
Managing Risk: how can
 process models help
    Evangelia Belia, Primodal US Inc.
     Michael Lunn, Primodal US Inc.

                                        WWAdCon 2021
Managing Risk: how can process models help - Evangelia Belia, Primodal US Inc. Michael Lunn, Primodal US Inc.
Outline
• What is risk?
• How does our industry currently manage risk?
• How do other industries manage risk?
• Can our industry implement the same methods?

                                                 WWAdCon 2021
Managing Risk: how can process models help - Evangelia Belia, Primodal US Inc. Michael Lunn, Primodal US Inc.
What is risk?
Risk = expectation of losses associated with a harmful event
Example: = Risk of failure (exceeding effluent permit)

Risk = [Probability of event happening] * [Cost]
Example: = [likelihood of exceeding effluent permit] * [cost]

 Cost Examples (monetary + non-monetary):

                                                                WWAdCon 2021
 Non-compliance;
 Loss of reputation;
 Financial loss;
 Not winning a contract or contract annulment;
 Loss of operating license;
 ….
Managing Risk: how can process models help - Evangelia Belia, Primodal US Inc. Michael Lunn, Primodal US Inc.
Sources of risk
Originating from the environment:
• Weather/climate effects
• Collection system characteristics
• Wastewater characteristics (flows, loads, temp, pH, fractions, …)
• Growth or loss within collection area (growth rate, changes in I/I, changes in industry)
• Discharge permits/Regulations

Originating from the WRRF:

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• Biological: bacterial kinetics, floc structure
• Physical: non-ideal process behavior (e.g. non-ideal mixing)
• Chemical-physical: e.g. precipitation stoichiometry and kinetics
• Unexpected control system behaviour
• Mechanical failures
• Operational problems
Managing Risk: how can process models help - Evangelia Belia, Primodal US Inc. Michael Lunn, Primodal US Inc.
How does our industry currently
manage risk?
• Design guidelines
   • Design criteria
   • Safety factors
   • Redundancy standards
• Scenario analysis

                                                  WWAdCon 2021
• Modelling

• Contract documents / contract delivery method
Managing Risk: how can process models help - Evangelia Belia, Primodal US Inc. Michael Lunn, Primodal US Inc.
Example of safety factors and
redundancy requirements
SRT safety factor 1.4 to 1.8 takes into account (ATV-DVWK-A 131 guidelines):
a) potential variations of the maximum growth rate caused by certain substances in the
   wastewater, short-term variations and/or pH shifts, and
b) the variations of ammonium load

               Unit Process    EPA, 1974                          10 State Standards, 2014

                                                                                                       WWAdCon 2021
               Primary         Must be able to process 50% of     Requires multiple units capable of
               sedimentation   plant flow with 1 (largest) unit   independent operation for plants
               basins          out of service                     with flows higher than 0.1 MGD,
Redundancy                                                        but no redundant unit required
requirements
               Secondary       Must have 75% of rated capacity    Requires multiple units capable of
               sedimentation   with 1(largest) unit of service    independent operation for plants
               basins                                             with flows higher than 0.1 MGD,
                                                                  but no redundant unit required
Managing Risk: how can process models help - Evangelia Belia, Primodal US Inc. Michael Lunn, Primodal US Inc.
How does our industry currently
manage risk?
                                                                    Steady State
                                                                       Design
                         Influent constituents
                                                                    Process-based
                                                                      equations
Conventional          Effluent standards

steady state design     Design parameters
                                                                         Empirical
                                                                         equations
                                                                                                                WWTP’s

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                                                                                                               dimensions
                      Operational targets                              Experience-
                                                                       based rules
                             Safety factors

                      Mansour Talebizadeh (2015) Probabilistic design of wastewater treatment plants. PhD. Thesis. modelEAU-Université
                      Laval, Québec, QC, Canada
Compounding of safety factors

                             300                                                                                                            90

                                                                                                                                            80
                             250
                                                                                                                                            70
  Daily average BOD (mg/L)

                                                                                                                                                 Daily average flow (MGD)
                             200                                                                                                            60

                                                                                                                                            50
                             150
                                                                                                                                            40

                             100                                                                                                            30

                                                                                                                                            20
                             50

                                                                                               Design load                                                                                                                                     Target effluent
                                                                                                                                            10

                              0
                              Mar-07           Jul-07   Oct-07   Jan-08   May-08    Aug-08     Nov-08   Feb-09   Jun-09   Sep-09   Dec-09
                                                                                                                                            0                                   Safety factors                Redundancy
                                                                                        Date

                                                                                                                                                                                                                                                                 WWAdCon 2021
                                                   4                                           4

                                                   3                                           3
                                                                               Safety factor
                                   Safety factor

                                                   2                                           2

                                                   1                                           1

                                                   0                                           0
                                                                 Influent load                            Unit process
                                                                                                          Influent load                                                      Redundancy
                                                                                                                                                                            Unit process     Risk registers
                                                                                                                                                                                             Redundancy        Effluent  criteria
                                                                                                                                                                                                                Risk registers      Effluent criteria
                                                                   selection                              safety factors
                                                                                                            selection                                                       safety factors                     and compliance       and compliance
                                                                                                                                                                                                                    testing              testing
Drawbacks of current design
approach
• Steady-state:
   • ignores plant dynamics and plant evolution
   • a single value does not provide quantifiable information about the reliability of a process
     design.
• Lumping risk in a few parameters:
   • missing relative importance of individual sources of risk
   • inflexible designs

                                                                                                   WWAdCon 2021
• Often assumes a combination of worst case conditions that may never happen
• No information on likelihood or frequency of any particular load reaching the
  plant within the selected design horizon
• No information on the likelihood or frequency of non-compliance
• Does not address newly developed processes
How do other industries handle
risk?

                                 WWAdCon 2021
Can our industry implement the
same methods? Why now?
• Safety factors have not changed for decades
• Increased use of simulators for design and optimization
• Strict effluent guidelines & increased energy efficiency
• Awareness among practitioners
• Scientific approach to balance risk/benefits

                                                             WWAdCon 2021
However:
• Simulators lack reliability evaluation
• Need to couple with statistical methods
Risk and Uncertainty
• Risk = expectation of losses associated with a harmful event
      Example: = Risk of failure (exceeding effluent permit)
      Risk = [Probability of failure] * [Cost of failure]

• Probability: is it "likely" or "unlikely“ that the event will happen?
      Example: Probability of a design to meet effluent standards
      Probability is the expected likelihood of occurrence of an event

                                                                          WWAdCon 2021
• Uncertainty assessment and propagation are:
      Quantification of probabilities
      Quantify risk = assess uncertainty = quantify probability
Levels of uncertainty

                                  Donald Rumsfeld

                                                                    WWAdCon 2021
                    As we know, there are known knowns.
                    There are things we know we know.
                    We also know there are known unknowns.
                    That is to say :
                    We know there are some things we do not know.
                    But there are also unknown unknowns,
                    the ones we don't know we don't know.
Steady-state probabilistic design
                  Sources if uncertainty
                                                                    Steady State
“Safety Factor”        Influent constituents

redistributed       Effluent standards
                                                                Design guidelines
                                                                              +
daylighting the       Design parameters
                                                                         Models
                                                                                                       WWTP’s     Effluent
                                                                              +

                                                                                                                                       WWAdCon 2021
                                                                                                       dimensions performance
specific risks      Operational targets                                Statistical                                and risk
                                                                       methods

                           Safety factors

                    Mansour Talebizadeh (2015) Probabilistic design of wastewater treatment plants. PhD. Thesis. modelEAU-Université
                    Laval, Québec, QC, Canada
Dynamic probabilistic design with
        Monte Carlo                PDF: Probability
                                          density function

                                          CDF: Cumulative
                                          distribution
                                          function

                                                             WWAdCon 2021
Unit
sizes
Variability and Uncertainty – model
output
              0.8

              0.7
                                                                in blue: temporal variability
                        95%ile - MC
                                                                due to influent variability
              0.6

              0.5
                                                                in red: output uncertainty
 NH4 [mg/L]

                        single

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              0.4       simulation
                                                                band due to parameter
              0.3                                               uncertainty
              0.2

              0.1

                                     5%ile - MC
               0
                    1    2               3              4   5
                                             time [d]
Uncertainty analysis of results
               100

               90
                                                                             Frequency + confidence (variability + uncertainty)
                                                                              • 5% sure NH4 < 3 mg/l 96% of the time
               80

               70
                                                                              • 95% sure NH4 < 3 mg/l 78% of the time
                                                                                                             25
               60                                                                                                        Alt1                  Mixed                                              Alt1
                                                                                                                                                                                      80
                                                                                                                                               Nominal
Duration [%]

               50                                                                                                                              Worst case
                                                                                                             20                                                                       70

               40                                                                                                                                                                     60

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                                                                                          PONC for NH4 (%)

                                                                                                                                                                    PONC for TN (%)
                                                                                                                                                                                           Alt2
                                                                                                             15                                                                       50
               30                                                                                                 Alt2
                                                                                                                                                                                                                         Alt3
                                                                                                                                                                                      40
               20
                                                                                                             10
                                                                                                                                        Alt3                                          30
               10

                                                                                                                                                                                      20
                                                                                                              5
                0
                     0   1   2    3            4             5   6   7   8
                                      Concentration [mg/l]
                                                                                                                                 Alt4
                                                                                                                                                    Alt5
                                                                                                                                                                                      10
                                                                                                                                                                                                                  Alt4

                Cumulative curves for NH4 concentration at the effluent:                                      0
                                                                                                                            6        6.2       6.4          6.6
                                                                                                                                                                                       0
                                                                                                                                                                                                      6        6.2
                                                                                                                          Total Cost (Million Dollar)                                               Total Cost (Mi
                daily composite samples 50th, 5th and 95th %iles                                              Mansour Talebizadeh (2015) Probabilistic design of
                                                                                                              wastewater treatment plants. PhD. Thesis. modelEAU-
                                                                                                              Université Laval, Québec, QC, Canada
Proposed design procedure
                      Define project                    Preliminary
                      objectives                        evaluation of selected            Compile list of sources
      Identify
                                                        alternatives                      of uncertainty for the
      Prioritise      Effluent standards and
      Reduce          frequency of compliance           Use design guidelines for         design objective
                                                        preliminary sizing and
                      Design horizon                    approximate costing

                      Characterize sources              Run dynamic
                      of uncertainty with               simulations using
      Model                                             Monte Carlo
                      PDFs

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      Propagate
                                                        Compile effluent CDFs
                      Define scenarios

                      Calculate output
      Analyse         metrics                            Multi-criteria decision
      Synthesize      Quantify the probability of        and selection of best
      Communicate     (non)compliance                    alternative
                      Estimate detailed total cost

  Talebizadeh, M. (2015). Probabilistic design of wastewater treatment plants. PhD. Thesis. Département de génie civil et de génie des
  eaux, Université Laval, Québec, QC, Canada. https://corpus.ulaval.ca/jspui/handle/20.500.11794/26196
Lag in implementation of explicit
risk analysis
• Considered high costs and time-consuming - computers reduce considerably
  costs and time

• Lack of data - the more uncertain the input data, the more helpful accounting
  for uncertainty and evaluating the associated risk

• Decision makers reluctant to accept these techniques (not confident they will

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  help them make better decisions) - may stem in part from lack of
  understanding of the techniques, requires multidisciplinary teams

1988 NIST: “A Comprehensive examination of the different approaches to
treating uncertainty and risk in project evaluation would show how the
application of risk analysis techniques to uncertain data can improve
management decision making.”
Opportunities of explicit risk analysis
• Risk is made explicit
    •   Daylights conservatisms buried in the various design assumptions
    •   Allows plants to be right-sized
    •   Allows to design a system with a desired level of risk

• Transparency
    •   Decision making process

• Quantitative evaluation of statistical likelihood of achieving a particular effluent/performance criteria

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• Approach can be steady-state (applying Monte Carlo to basic design equations) or dynamic
  (probabilistic design with dynamic Monte Carlo simulator runs)

• Benefit-cost-risk analysis
    •   Showing how benefits, costs and risks are spread among stakeholders

• Integration of socio-economic & statistical sciences
    •   Fore-sighting methods, life cycle analysis, environmental economics, ...
Scientific and Technical Report
(STR)

                                   WWAdCon 2021
           (Publication in 2021)
Presenter contact information

     Evangelina Belia
     Ph.D., P. Eng.

     Primodal Inc.

                                WWAdCon 2021
     US & Canada

     belia@primodal.com
     www.primodal.com
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