Solutions of hydrodynamic dispersion in porous media

Problems of hydrodynamic dispersion in porous media with radioactive decay and/or adsorption of the tracer are solved by an approximate analytical method. The flow of the carrier fluid is assumed to be steady and two dimensional. Initially a sharp front separates two regions of different constant tracer concentrations. The general solution is applied to a few examples of hydrologic interest: radial flow from a recharging well, a recharging well in a uniform flow field, two wells, and soil leaching by uniform recharge.