Transport of a decay chain in homogenous porous media: analytical solutions

With the aid of integral transforms, analytical solutions for the transport of a decay chain in homogenous porous media are derived. Unidirectional st eady-state flow and radial steady-state flow in single and multiple porosit y media are considered. At least in Laplace domain, all solutions can be wr itten in closed analytical formulae. Partly, the solutions can also be inve rted analytically. If not, analytical calculation of the steady-state conce ntration distributions, evaluation of temporal moments and numerical invers ion are still possible. Formulae for several simple boundary conditions are given and visualized in this paper. The derived novel solutions are widely applicable and are very useful for the validation of numerical transport c odes. (C) 2001 Elsevier Science B.V. All rights reserved.