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Title: Simulation of two-dimensional waterflooding using mixed finite elements

Abstract

A new method for the simulation of incompressible diphasic flows in two dimensions is presented, the distinctive features of which are: (1) reformation of the basic equation and specific choices of the finite element approximation of the same; (11) use of a mixed finite elements method, approximating both scalar and vector functions. Several test examples are shown, including gravity and capillary effects. The use of discontinuous basis functions proved successful for an accurate representation of sharp fronts. 16 refs.

Authors:
; ; ; ;
Publication Date:
Research Org.:
INRIA, Fr
OSTI Identifier:
6354576
Report Number(s):
CONF-820242-
Journal ID: CODEN: SEAPA
Resource Type:
Conference
Journal Name:
Soc. Pet. Eng. AIME, Pap.; (United States)
Additional Journal Information:
Journal Volume: SPE 10502; Conference: 6. symposium on reservior simulation, New Orleans, LA, USA, 1 Feb 1982
Country of Publication:
United States
Language:
English
Subject:
02 PETROLEUM; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; OIL WELLS; WATERFLOODING; SIMULATION; BOUNDARY CONDITIONS; CAPILLARIES; ENHANCED RECOVERY; FINITE ELEMENT METHOD; SATURATION; BLOOD VESSELS; BODY; CARDIOVASCULAR SYSTEM; FLUID INJECTION; NUMERICAL SOLUTION; ORGANS; RECOVERY; WELLS; 020300* - Petroleum- Drilling & Production; 990200 - Mathematics & Computers

Citation Formats

Chavent, G, Jaffre, J, Cohen, G, Dupuy, M, and Dieste, I. Simulation of two-dimensional waterflooding using mixed finite elements. United States: N. p., 1982. Web.
Chavent, G, Jaffre, J, Cohen, G, Dupuy, M, & Dieste, I. Simulation of two-dimensional waterflooding using mixed finite elements. United States.
Chavent, G, Jaffre, J, Cohen, G, Dupuy, M, and Dieste, I. 1982. "Simulation of two-dimensional waterflooding using mixed finite elements". United States.
@article{osti_6354576,
title = {Simulation of two-dimensional waterflooding using mixed finite elements},
author = {Chavent, G and Jaffre, J and Cohen, G and Dupuy, M and Dieste, I},
abstractNote = {A new method for the simulation of incompressible diphasic flows in two dimensions is presented, the distinctive features of which are: (1) reformation of the basic equation and specific choices of the finite element approximation of the same; (11) use of a mixed finite elements method, approximating both scalar and vector functions. Several test examples are shown, including gravity and capillary effects. The use of discontinuous basis functions proved successful for an accurate representation of sharp fronts. 16 refs.},
doi = {},
url = {https://www.osti.gov/biblio/6354576}, journal = {Soc. Pet. Eng. AIME, Pap.; (United States)},
number = ,
volume = SPE 10502,
place = {United States},
year = {Fri Jan 01 00:00:00 EST 1982},
month = {Fri Jan 01 00:00:00 EST 1982}
}

Conference:
Other availability
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