PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Victor Nistor, Jinchao Xu, Stephanie Zerby, Xiantao Li, Yuxi Zheng, Kris Jenssen, Hope Shaffer.

Title:CANCELLED: Stochastic multiscale modeling of porous media flows (the talk was cancelled!!!)
Seminar:Computational and Applied Mathematics Colloquium
Speaker:Ivan Yotov, University of Pittsburgh
Abstract:
We discuss a multiscale stochastic framework for uncertainty quantification in flow in porous media. The governing equations are based on Darcy's law with stochastic permeability represented with a Karhunen-Loeve (KL) expansion. We consider a domain decomposition formulation with different KL expansions in different subdomains. This approach allows to model efficiently heterogeneous media with different rock types. The approximation is based on multiscale mortar mixed finite elements in the spatial domain coupled with stochastic collocation. We precompute a multiscale basis, which involves solving subdomain problems with for each realization of the local KL expansion. The basis is then used to solve the coarse scale mortar interface problem for each global KL realization. The resulting algorithm is orders of magnitude faster than a global stochastic collocation approach. Error analysis for the statistical moments of the pressure and the velocity is performed and experimentally verified with numerical simulations of single phase flow in porous media. If time permits, extensions to coupled Stokes-Darcy flows and contaminant transport will be presented.

Room Reservation Information

Room Number:MB106
Date:03 / 02 / 2012
Time:03:35pm - 04:25pm