Tracer experiment under pumping condition in a Karoo aquifer

Abstract

Tracer experiments under radially convergent flow (or pumping) conditions are conducted to obtain effective porosity and dispersivity required for detailed evaluation of groundwater resources and pollution problems at selected sites. However, interpretation of the tracer experiment is not readily available. Existing Laplace transform solutions often need to be numerically evaluated. This paper derives an approximate analytical solution which is able to account for a scenario of a vertical recharge. As special cases, the two commonly used approximate analytical solutions are obtained from this recharge-incorporated approximate solution.

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