Reaction—Advection—Dispersion Equation

  • J. David Logan
Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 15)


A problem of great importance in environmental science is to understand how chemical or biological contaminants are transported through subsurface aquifer systems. In this chapter we consider the transport of a chemical or biological tracer carried by water through a uniform, one-dimensional, saturated, porous medium, and we derive simple mathematical models based on mass balance that incorporate advection, dispersion, and adsorption. Thus, we extend the ideas in the Chapter 1, where we focused only on the diffusion process with no flow.


Porous Medium Diffusion Equation Dispersion Coefficient Peclet Number Comparison Principle 
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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • J. David Logan
    • 1
  1. 1.Department of Mathematics and StatisticsUniversity of Nebraska-LincolnLincolnUSA

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