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Tuesday, April 9, 9:30 am in MTH 3206, University of Maryland, College Park

Modeling and Simulation of Fluid Flow in Complex Porous Media

Prof. Alfio Quarteroni

Politecnico di Milano and CRS4 (Italy)

alfqua@ipmma1.mate.polimi.it

The development of mathematical models and simulation tools are indispensable in the effort of quantitatively predict the phenomena that take place during flow movement and contaminant transport in complex porous media. This presentation aims to discuss some relevant issues related to the mathematical and numerical modeling of flow in porous media, with reference to petroleum engineering applications. Various flow models are reviewed, ranging form model problems of incompressible flow to a multi-phase, multi-component compressible flow model with interphase mass transfer that covers most of applications that are of current interest in the oil industry. Discretization methods based on mixed finite elements and finite volumes will be presented and discussed and several applications on test problems as well as on realistic field-scale reservoir simulation will be illustrated.