Computational Mathematics and Scientific Computing Seminar

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Numerical Solution of Two-Phase Flow in Porous Media at the Pore Scale

Speaker: Beatrice Riviere, Rice University

Location: Warren Weaver Hall 1302

Date: Nov. 30, 2018, 10 a.m.

Synopsis:

Modeling multicomponent flows in porous media is important for many applications relevant to energy and environment. Advances in pore-scale imaging, increasing availability of computational resources, and developments in numerical algorithms have started rendering direct pore-scale numerical simulations of multiphase flow on pore structures feasible. I will present a pore-scale flow model based on the coupling of Cahn-Hilliard and incompressible Navier-Stokes equations. At the micro-meter scale, the rock structure is given and the fluid flows through the connected pores. The three-dimensional computational domain is the union of voxels, obtained from the micro-CT scanning of real rock samples. A priori error estimates show convergence of the scheme for sufficiently smooth solutions. Validation of the algorithm is obtained on a suite of benchmark problems.