Perturbation Solutions of the Dispersion Equation in Porous Mediums

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Abstract

The solution of the dispersion equation in porous mediums is difficult because of the dependence of the dispersion tensor on the velocity. Approximate solutions of dispersion in nonuniform two‐dimensional flows are sought by perturbation expansions. An inner boundary layer solution for the transition zone between two fluids in steady and unsteady conditions is derived. Two examples of dispersion, radial flow and coastal aquifers, are solved approximately.

Original languageEnglish
Pages (from-to)135-142
Number of pages8
JournalWater Resources Research
Volume7
Issue number1
DOIs
StatePublished - Feb 1971

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