Deterministic and Stochastic Analyses of Dispersion in an Unbounded Stratified Porous Medium

摘要

The dispersion of a conservative solute released instantaneously from a finite or point source in an unbounded, nonrandom periodically stratified porous medium is examined theoretically by applying the moment method of R. Aris (1956) and P.G. Saffman (1962). The governing moment equations are derived for a general stratified medium and then applied to study the detailed time-dependent variations of various low-order spatial moments of the three-dimensional concentration distribution in a particular periodic (sinusoidal) stratified medium, both for the general case when the mean flow direction is inclined to the stratification as well as for the special case of flow parallel to the stratification. (Copyright (c) 1986 by the American Geophysical Union.)