A discontinuous galerkin method for gravity-driven viscous fingering instabilities in porous media


Journal Article

We present a new approach to the simulation of gravity-driven viscous fingering instabilities in porous media flow. These instabilities play a very important role during carbon sequestration processes in brine aquifers. Our approach is based on a nonlinear implementation of the discontinuous Galerkin method, and possesses a number of key features. First, the method developed is inherently high order, and is therefore well suited to study unstable flow mechanisms. Secondly, it maintains high-order accuracy on completely unstructured meshes. The combination of these two features makes it a very appealing strategyin simulating the challenging flow patterns and very complex geometries of actual reservoirs and aquifers. This article includes an extensive set of verification studies on the stability and accuracy of the method, and also features a number of computations with unstructured grids and non-standard geometries. © 2012 Elsevier Inc.

Duke Authors

Cited Authors

  • Scovazzi, G; Gerstenberger, A; Collis, SS

Published Date

  • January 1, 2013

Published In

Volume / Issue

  • 233 / 1

Start / End Page

  • 373 - 399

Electronic International Standard Serial Number (EISSN)

  • 1090-2716

International Standard Serial Number (ISSN)

  • 0021-9991

Citation Source

  • Scopus