A high order method for solving the black-oil problem in porous media

Richard Rankin, Beatrice Riviere

Research output: Journal PublicationArticlepeer-review

7 Citations (Scopus)

Abstract

A high order method is formulated for solving the compressible black-oil problem with capillary effects in one-dimensional domains. The sequential implicit formulation combined with the interior penalty discontinuous Galerkin method is employed. The contribution of this work is to show convergence and robustness of high order polynomial approximations (up to fourth order) for saturated and undersaturated reservoirs.

Original languageEnglish
Pages (from-to)126-144
Number of pages19
JournalAdvances in Water Resources
Volume78
DOIs
Publication statusPublished - 1 Apr 2015
Externally publishedYes

Keywords

  • Black-oil problem
  • Capillary pressures
  • Discontinuous Galerkin
  • High order
  • Sequential implicit

ASJC Scopus subject areas

  • Water Science and Technology

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