Hybrid Methods in Engineering Modeling, Programming, Analysis, Animation

ISSN for PRINT: 1099-2391

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2001, Volume3

Issue 2&3

148 pages

Issue price - $250.00

Rodrigo P. A. Rocha
Department of Mechanical Engineering—EE/COPPE, Federal University of Rio de Janeiro, CP 68503, Rio de Janeiro, RJ, 21945-970, Brazil

Manuel Ernani Cruz
Federal University of Rio de Janeiro — UFRJ, Department of Mechanical Engineering/Poli/COPPE, CP 68503, CT, Rio de Janeiro, RJ, 21945-970, Brazil

In this article, we present a hybrid analytical-numerical solution for the one-dimensional transient problem of flow and contaminant transport in an unsaturated fractured porous medium, modeled as a dual-porosity system. The flow is considered to be Darcian and governed by the Richards equation, and the solute transport is governed by the advection-dispersion equation. Because the governing partial differential equations are coupled and possess advective terms, the classical (analytical) method of integral transformation cannot be applied. Instead, we employ the generalized integral transform technique (GITT), a hybrid method of wide applicability. We consider constant soil properties and Dirichlet boundary conditions for both flow and transport problems. To validate our solution procedure, we obtain pressure head and contaminant concentration results for the limiting case of an ordinary porous medium. The capability of our hybrid approach is demonstrated through the solution and analysis of an example problem.

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