Two‐Dimensional Dispersion from Strip Sources

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Abstract
A general mathematical model is developed for two‐dimensional, unsteady dispersion of a miscible second fluid from time‐dependent, nonuniform, and nonperiodic strip sources in steady, one‐dimensional seepage flow through a homogeneous and isotropic saturated porous medium. Longitudinal and lateral dispersions, radioactive decay, and linear adsorption are considered. In the mathematical analysis, Laplace transform and Fourier analysis techniques are used simultaneously and a general equation is obtained in an integral form for the distribution of concentration. Graphs are presented for two spedal cases of this general model. The solutions can be used to control groundwater contamination and quantitative predictions of spatial and temporal changes in groundwater quality.