Closed form solutions of contaminant transport into semi-infinite soil with non-equilibrium sorption from a finite diminishing surface source

Abstract

ABSTRACT Closed form solutions of contaminant transport from a finite diminishing surface source into a semi-infinite soil with non-equilibrium time dependent sorption have been developed and presented in this paper. The solutions extend earlier closed form solutions by Booker et al., (1987) and Lapidus et al., (1952). Also presented are corresponding closed form Laplace transform solutions; these will yield the(semi-analytical solutions in real space and time after numerical inversion. A series of parametric studies has been undertaken to show the effects of parameters variations corresponding to changes in the physical processes.