Year: 1977
Type: report
Abstract: The partial differential equation that describes the transport and reaction of chemical solutes in porous media was solved using the Galerkin finite-element technique.These finite elements were superimposed over finite-difference cells used to solve the flow equation.Both convection and flow due to hydraulic dispersion were considered.Linear and Hermite cubic approximations (basis functions) provided satisfactory results; however, the linear functions were found to be computationally more efficient for two-dimensional problems.Successive over relaxation (SOR) and iteration techniques using Tchebyschef polynomials were used to solve the sparce matrices generated using the linear and Hermite cubic functions, respectively.Comparisons of the finite-element methods to the finite-difference methods, and to analytical results, indicated that a high degree of accuracy may be obtained using the method outlined.The technique was applied to a field problem involving an aquifer contaminated with chloride, tritium, and strontium-90. 17.
DOI: 10.3133/wri7749
Author: David B. Grove
Language: English
Subfield: Environmental Engineering
Field: Environmental Science
Domain: Physical Sciences
Open Access status: gold
OpenAlex ID: W50895306