Numerical model for water flow and chemical transport in variably saturated porous media

Tian-Chyi J Yeh, Rajesh Srivastava, Amado Guzman, Thomas Harter

Research output: Contribution to journalArticle

77 Citations (Scopus)

Abstract

A two-dimensional model is developed for the simulation of water flow and chemical transport through viably saturated porous media. The nonlinear flow equation is solved using the Galerkin finite-element technique with either the Picard or the Newton iteration scheme. A continuous velocity field is obtained by separate application of the Galerkin technique to the Darcy's equation. A two-site adsorption model with a first-order loss term is used to describe the chemical behavior of the reactive solute. The advective part of the transport equation is solved with one-step backward particle tracking while the dispersive part is solved by the regular Galerkin finite-element technique. A pre-conditioned conjugate gradient-like method is used for the iterative solution of the systems of linear simultaneous equations to save on computer memory and execution time. The model is applied to a few flow and transport problems, and the numerical results are compared with observed with analytic values. The model is found to duplicate the analytic and observed values quite well, even near very sharp fronts.

Original languageEnglish (US)
Pages (from-to)634-644
Number of pages11
JournalGround Water
Volume31
Issue number4
StatePublished - Jul 1993

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Porous materials
porous medium
Numerical models
water flow
Water
Flow of water
solute
adsorption
Data storage equipment
Adsorption
chemical
simulation

ASJC Scopus subject areas

  • Earth and Planetary Sciences (miscellaneous)
  • Water Science and Technology

Cite this

Numerical model for water flow and chemical transport in variably saturated porous media. / Yeh, Tian-Chyi J; Srivastava, Rajesh; Guzman, Amado; Harter, Thomas.

In: Ground Water, Vol. 31, No. 4, 07.1993, p. 634-644.

Research output: Contribution to journalArticle

Yeh, T-CJ, Srivastava, R, Guzman, A & Harter, T 1993, 'Numerical model for water flow and chemical transport in variably saturated porous media', Ground Water, vol. 31, no. 4, pp. 634-644.
Yeh, Tian-Chyi J ; Srivastava, Rajesh ; Guzman, Amado ; Harter, Thomas. / Numerical model for water flow and chemical transport in variably saturated porous media. In: Ground Water. 1993 ; Vol. 31, No. 4. pp. 634-644.
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