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Dispersion‐affected transport of reacting solutes in saturated porous media: Galerkin Method applied to equilibrium‐controlled exchange in unidirectional steady water flow
Author(s) -
Rubin Jacob,
James R. V.
Publication year - 1973
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr009i005p01332
Subject(s) - porous medium , dispersion (optics) , dissolution , galerkin method , ion exchange , thermodynamics , flow (mathematics) , mechanics , chemistry , ion , precipitation , materials science , porosity , physics , optics , meteorology , organic chemistry , finite element method
Equations describing dispersion and ion exchange affected one‐dimensional transport of solutes in saturated porous media are solved numerically by means of the Galerkin method. It is assumed that water flow is steady and that local chemical equilibrium exists throughout the systems considered. No constancy restrictions are placed on the total concentration of the dissolved ions participating in exchange. The cases treated involve (1) homogeneous or layered systems, (2) exchange reactions with constant or concentration dependent selectivity coefficients, (3) binary or multicomponent exchange, and (4) systems in which one of the exchanging ions is also involved in a precipitation‐dissolution reaction. The results of computations show that the approach presented may be useful in analyzing a variety of solute transport processes of hydrologic interest. They also demonstrate at least for some of the ion transport cases the importance of taking into account the effects of dispersion and ion exchange.