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

Richard Rankin; Beatrice Riviere

doi:10.1016/j.advwatres.2015.01.007

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

Richard Rankin, Beatrice Riviere

Research output: Journal Publication › Article › peer-review

10 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 language	English
Pages (from-to)	126-144
Number of pages	19
Journal	Advances in Water Resources
Volume	78
DOIs	https://doi.org/10.1016/j.advwatres.2015.01.007
Publication status	Published - 1 Apr 2015
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Water Science and Technology

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10.1016/j.advwatres.2015.01.007

Cite this

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title = "A high order method for solving the black-oil problem in porous media",

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.",

keywords = "Black-oil problem, Capillary pressures, Discontinuous Galerkin, High order, Sequential implicit",

author = "Richard Rankin and Beatrice Riviere",

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AU - Riviere, Beatrice

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AB - 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.

KW - Black-oil problem

KW - Capillary pressures

KW - Discontinuous Galerkin

KW - High order

KW - Sequential implicit

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DO - 10.1016/j.advwatres.2015.01.007

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VL - 78

SP - 126

EP - 144

JO - Advances in Water Resources

JF - Advances in Water Resources

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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