Large Time Asymptotics in Contaminant Transport in Porous Media

摘要

In this paper the authors derive large time solutions of the partial differentialequations modelling contaminant transport in porous media for initial data with bounded support. While the main emphasis is on two space dimensions, for the sake of completeness the authors give a brief summary of the corresponding results for one space dimension. The analytic results are obtained using the method of 'asymptotic balancing' which identifies the dominant terms in the model equations determining the behavior of the solution in the large time limit. In the final section of the paper, the authors give some results concerning the temporal behavior of certain moments of the two dimensional profiles commonly used to compute physical parameter characteristics for contaminant transport in porous media.