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Related Experiment Videos

Domenico solution--is it valid?

V Srinivasan1, T P Clement, K K Lee

  • 1Department of Civil Engineering, Auburn University, Auburn, AL 36849, USA. srinive@auburn.edu

Ground Water
|March 6, 2007
PubMed
Summary
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The Domenico solution for groundwater contaminant transport is a true analytical solution only when longitudinal dispersivity is zero. For non-zero values, it introduces errors, necessitating careful application guidelines.

Area of Science:

  • Environmental Science
  • Hydrogeology
  • Geochemistry

Background:

  • The Domenico solution is a common analytical model for groundwater contaminant transport.
  • Existing treatments often lack mathematical rigor, relying on empirical statements.
  • A need exists for a mathematically sound analysis of the Domenico solution.

Purpose of the Study:

  • To present a rigorous mathematical derivation of the Domenico solution.
  • To explore the limitations and error introduced by the Domenico solution.
  • To provide guidelines for the appropriate application of the Domenico solution.

Main Methods:

  • Mathematical derivation of the Domenico solution.
  • Analysis of the solution's behavior with varying longitudinal dispersivity.

Related Experiment Videos

  • Quantification of introduced error using an example problem.

    • Main Results:

    • The Domenico solution is an exact analytical solution only when longitudinal dispersivity is zero.
    • Non-zero longitudinal dispersivity values lead to finite errors in the Domenico solution.
    • An example problem demonstrates and quantifies the nature of this error.

    Conclusions:

    • The mathematical rigor of the Domenico solution is confirmed for specific conditions (zero longitudinal dispersivity).
    • The study quantifies the error associated with non-zero longitudinal dispersivity, highlighting its approximate nature.
    • General guidelines are proposed to ensure appropriate use of the Domenico solution in contaminant transport modeling.