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Abstract
A stochastic simulation method is developed for a numerical study of particle transport in random porous medium. The hydraulic conductivity is assumed to be a random field of a given statistical structure, the flow is modelled in a cylinder with prescribed boundary conditions. Numerical experiments are carried out by solving the random Darcy equation for each sample of the hydraulic conductivity by a SOR iteration method, and tracking Lagrangian trajectories in the simulated flow.
Keywords.: Darcy equation; random hydraulic conductivity; flow in a cylinder; Lagrangian trajectory; randomized spectral models; lognormal random fields
Received: 2007-11-07
Revised: 2008-12-15
Published Online: 2009-05-14
Published in Print: 2009-May
© de Gruyter 2009