Analytical solutions for solute transport in saturated porous media with semi-infinite or finite thickness

Three-dimensional analytical solutions for solute transport in saturated, h omogeneous porous media are developed. The models account for three-dimensi onal dispersion in a uniform flow field, first-order decay of aqueous phase and sorbed solutes with different decay rates, and nonequilibrium solute s orption onto the solid matrix of the porous formation. The governing solute transport equations are solved analytically by employing Laplace, Fourier and finite Fourier cosine transform techniques. Porous media with either se mi-infinite or finite thickness are considered. Furthermore, continuous as well as periodic source loadings from either a point or an elliptic source geometry are examined. The effect of aquifer boundary conditions as well as the source geometry on solute transport in subsurface porous formations is investigated. (C) 1999 Elsevier Science Ltd. All rights reserved.