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Split Point Analysis and Uncertainty Quantification of Thermal-Optical Organic/Elemental Carbon Measurements
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On constraining pilot point calibration with regularization in PEST.

Michael N Fienen1, Christopher T Muffels, Randall J Hunt

  • 1U.S. Geological Survey, Wisconsin Water Science Center, Middleton, WI 53562, USA. mnfienen@usgs.gov

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|June 3, 2009
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Summary
This summary is machine-generated.

This study clarifies how to properly use control variables in PEST software for pilot point parameterization with Tikhonov regularization in groundwater model calibration. Proper application ensures accurate parameter estimates and optimal model performance.

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Area of Science:

  • Hydrogeology
  • Numerical Modeling
  • Geostatistics

Background:

  • Groundwater model calibration has advanced with tools like PEST.
  • Sophisticated tools can be misapplied, leading to poor parameter estimates.
  • Pilot point parameterization with Tikhonov regularization is a common, yet complex, calibration technique.

Purpose of the Study:

  • To explain the role of control variables in PEST for Tikhonov regularization with pilot points.
  • To illustrate best practices for applying this calibration technique.
  • To provide guidelines for overcoming implementation challenges observed in recent studies.

Main Methods:

  • Focus on pilot point parameterization and Tikhonov regularization within the PEST software.
  • Analysis of a recent study encountering difficulties with this method.
  • Examination of control variable settings for Tikhonov regularization.

Main Results:

  • Identification of specific roles and potential misapplications of control variables in PEST.
  • Demonstration of how Tikhonov regularization constrains pilot points effectively.
  • Development of guidelines to prevent suboptimal model calibration.

Conclusions:

  • Proper use of PEST control variables is crucial for successful pilot point calibration with Tikhonov regularization.
  • Understanding these roles mitigates risks of poor parameter estimation.
  • Guidelines are provided to enhance the application of advanced groundwater model calibration techniques.