Vol. 4  No. 12


PEST

Parameter Estimation Software

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PEST is considered the most powerful and robust parameter estimation program available for automating and improving model calibration in groundwater modeling.  The program works by optimizing a set of user-defined model parameters in order to minimize the calibration residuals from a set of user-defined observations. 

PEST is supported by both Visual MODFLOW and Groundwater Vistas.

Key Features:

  • PEST combines a robust inversion engine with the ability to communicate with a model through the model's own input and output files. Thus PEST can be used without the need for any programming. 
  • To calibrate a model, simply:
    • inform PEST which numbers to adjust on model input files
    • identify those numbers on model output files for which there are corresponding field or laboratory measurements
    • instruct PEST how to run the model
  • With PEST, the user can:
    • calibrate models using data gathered over noncontiguous time intervals
    • simultaneous calibrate 
      • a steady-state and a transient models
      • a flow and a transport models
      • multiple recharge models together with a flow model
      • a flow model combined with regularization functionality
  • PEST calculates statistical data for optimized parameter values including 95% confidence intervals together with the parameter covariance and correlation-coefficient matrices
  • All PEST data storage is dynamically allocated; hence the problem size (including numbers of adjustable parameters and the size of the observation dataset) is limited only by the amount of memory installed on the user’s machine
  • PEST MODFLOW / MT3D utilities are supported by both Visual MODFLOW and Groundwater Vistas 
  • The MODFLOW/MT3D utilities are a set of programs that automate construction of PEST interface files for use with MODFLOW and MT3D.  They are designed to facilitate calibration of MODFLOW against borehole-measured heads and/or drawdowns, and MT3D against borehole-measured concentrations.  
  • Adjustable parameters can include just about anything found on a MODFLOW or MT3D input file including:
    • Tabulated data such as drain and riverbed conductivity
    • Array based data such as transmissivity, recharge or dispersivity
  • The WinPEST graphical interface allows the user to visualize and understand the calibration and predictive analysis with ease through a series of run-time and post-run displays

PEST Focus Features:


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User-Defined Parameter Bounds

Optimum parameter values can be constrained to lie between user-specified upper and lower bounds, thus ensuring that estimated values are in range.  

Prior information on parameters or on relationships between parameters can be incorporated into the estimation process.


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Data Handling

Observations and parameters can be grouped for ease of property definition and weights allocation, and to add flexibility to the inversion process.

Individual model parameters can be designated as adjustable, fixed or linked to other parameters; adjustable parameters can be log-transformed to increase optimization efficiency.  


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Predictive Analysis

PEST’s unique predictive analyzer allows the user to estimate the true range of predictive nonuniqueness associated with a calibrated model.

The Predictive Analyzer  allows the modeler to calculate the uncertainties in model predictions arising from uncertainties in model parameters while ensuring the model remains calibrated.  

PEST will calculate the highest or lowest value of a key model outcome while at the same time ensuring that the parameter values used to make this prediction are such as to keep the model calibrated.  This allows the user to test best and worst case scenarios with ease, design a fail-safe remediation system and/or optimize the efficiency of a monitoring network.

    

    

    
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WinPEST Graphical Interface

The WinPest graphical user interface displays an extensive range of run-time and post-run data for easy analysis and post processing.

 

WinPest creates several plots to examine parameter uncertainty and nonuniqueness and analyze calibration residuals including:

  • Parameter values
  • Composite parameter sensitivities
  • Objective function value
  • Parameter correlation coefficient matrix
  • Individual parameter sensitivities from the Jacobian matrix
  • Calculated vs. observed values
  • Calibration residuals
 
User Intervention

PEST allows user-intervention in the parameter estimation process whereby troublesome parameters can be held for a while and the most recent parameter upgrade repeated without the need for extensive recalculation.

 

Model Independence

PEST takes control and runs the model as many times as needed while adjusting parameter values until the discrepancies between model outputs and corresponding field or laboratory measurements are as small as possible in the weighted least squares sense. 

PEST then lists optimal parameter values, an estimate of the uncertainty associated with optimal parameter values, best-fit model outcomes, model-to-measurement residuals, and numerous statistics related to the optimal parameter and residual sets.

 


Questions?  Write to Support@GroundwaterSoftware.com


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