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arXiv · 1810.01245

An interior penalty discontinuous Galerkin approach for 3D incompressible Navier--Stokes equation for permeability estimation of porous media

Chen Liu·Florian Frank·Faruk O. Alpak·Beatrice Riviere
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Abstract

Permeability estimation of porous media from direct solving Navier--Stokes equation has a wide spectrum of applications in petroleum industry. In this paper, we utilize a pressure-correction projection algorithm in conjunction with the interior penalty discontinuous Galerkin scheme for space discretization to build an incompressible Navier--Stokes simulator and to use this simulator to calculate permeability of real rock sample. The proposed method is accurate, numerically robust, and exhibits the potential for tackling realistic problems.

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Chen Liu, Florian Frank, Faruk O. Alpak, Beatrice Riviere. 2018-09-26. An interior penalty discontinuous Galerkin approach for 3D incompressible Navier--Stokes equation for permeability estimation of porous media. https://doi.org/10.1016/j.jcp.2019.06.052

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