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8 - Parameter Estimation

Published online by Cambridge University Press:  02 February 2023

Tian-Chyi Jim Yeh
Affiliation:
University of Arizona
Yanhui Dong
Affiliation:
Chinese Academy of Sciences, Beijing
Shujun Ye
Affiliation:
Nanjing University, China
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Summary

This chapter introduces simple graphical methods to estimate advection velocity and dispersivity of solute migration through soil columns, using one-dimensional ADE presented in previous chapters. Methods of spatial and temporal moments are also introduced for solute concentration breakthroughs in one-dimensional transport and snapshots of the multi-dimensional solute migrations, respectively. Unlike automatic nonlinear regression analysis, these methods use physical insights and analytical solutions to illustrate logical approaches to estimate these parameters. The automatic regression analysis (such as Microsoft Excel introduced in Chapter 1) may find the parameters that fit the solution to the data well. However, the parameter values may not be physically possible if the estimation problem is poorly constrained (see examples in Chapter 11).

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Publisher: Cambridge University Press
Print publication year: 2023

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  • Parameter Estimation
  • Tian-Chyi Jim Yeh, University of Arizona, Yanhui Dong, Chinese Academy of Sciences, Beijing, Shujun Ye, Nanjing University, China
  • Book: An Introduction to Solute Transport in Heterogeneous Geologic Media
  • Online publication: 02 February 2023
  • Chapter DOI: https://doi.org/10.1017/9781009049511.009
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  • Parameter Estimation
  • Tian-Chyi Jim Yeh, University of Arizona, Yanhui Dong, Chinese Academy of Sciences, Beijing, Shujun Ye, Nanjing University, China
  • Book: An Introduction to Solute Transport in Heterogeneous Geologic Media
  • Online publication: 02 February 2023
  • Chapter DOI: https://doi.org/10.1017/9781009049511.009
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Parameter Estimation
  • Tian-Chyi Jim Yeh, University of Arizona, Yanhui Dong, Chinese Academy of Sciences, Beijing, Shujun Ye, Nanjing University, China
  • Book: An Introduction to Solute Transport in Heterogeneous Geologic Media
  • Online publication: 02 February 2023
  • Chapter DOI: https://doi.org/10.1017/9781009049511.009
Available formats
×