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1 results

  • 8 - 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
    Published online:
    02 February 2023
    Print publication:
    09 February 2023, pp 202-221

  • 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).