An accurate mixed finite element method to solve both flow and transport is developed for stochastic simulations of transportin saturated aquifers characterized by random log-hydraulic conductivity fields. The main advantage of the mixed finiteelement is that it is local mass conservative. Unlike in stochastic finite element methods, this approach yields concentrationfields and concentration moments for samples of the random field. In this way, it will be possible t o analyze the behavior ofdifferent ensemble average observables of the transport process as well as the behavior of their fluctuations. Results of thestochastic simulations described here can be used to assess the reliability for real cases of the ensemble average quantitiesprovided by stochastic modeling of transport in groundwater.
Florin A. Radu
UFZ – Helmholtz Center for Environmental Research, Permoserstr. 15, D-04318 Leipzig, Germany
University of Jena, Wöllnitzerstr. 7, D-07749 Jena, Germany
Department of Mathematics, Chair for Applied Mathematics I, University of Erlangen-Nuremberg
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy
F.A. Radu, N. Suciu, Stochastic simulations based on mixed finite elements for solute transport in groundwater, Proc. Appl. Math. Mech., 9 (2009), 19-22
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