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Applied Mathematics Seminar

Date/Time/Room: Friday (8/23/2002) at 2:00pm in 487 Pickard Hall

Speaker: Benito Chen-Charpentier, Department of Mathematics, University of Wyoming

``A Stochastic Bacterial Transport Model in a Porous Medium''

Abstract: A system of equations describing bacterial growth and transport in a porous medium is introduced. Two species of bacteria are present in the model: the dissolved bacteria and the adsorbed. We construct approximate average solutions for the bacteria concentrations for two cases, one in which the adsorption coefficient is random, and the other in which a spatially random porosity field is used. In the latter case, the presence of the adsorbed bacteria affects the hydraulic conductivity field, which in turn decreases the velocity through Darcy's Law. The numerically computed approximate average solution in the random adsorption coefficient case is compared with an ensemble average taken over a number of realizations.