Author(s): Bernhard H. Schmid
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Keywords: No Keywords
Abstract: An analytic solution to the transient storage equations with first-order decay terms is developed in a stochastic framework. Different decay rates for main stream and dead zones, resp., are accounted for, which may be useful when the stagnant zones are characterized by thermal, chemical or microbiological conditions distinctly apart from those in the main stream. The solution presented is analytic in the sense that an explicit relationship is given for the pollutograph at arbitrary locations downstream of the release, and that the use of numerical methods is restricted to the evaluation of one integral (and, if required by the type of upper boundary condition, the convolution operation). The results presented here agree with previously derived analytic equations yielding the temporal moments of the concentration distributions.
Year: 1997