skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: A model for multiphase flows through poroelastic media

Abstract

A continuum model for multiphase fluid mixture flows through poroelastic media is presented. The basic conservation laws developed via a volume averaging technique are considered. Effects of phasic equilibrated forces are included in the model. Based on the thermodynamics of the multiphase mixture flows, appropriate constitutive equations are formulated. The entropy inequality is exploited, and the method of Lagrangian multiplier is used along with the phasic conservation laws to derive the constitutive equations for the phasic stress tensors, equilibrated stress vectors, and the interactions terms. The special cases of wave propagation in poroelastic media saturated with multiphase fluids, and multiphase flows through porous media, are studied. It is shown that the present theory leads to the extended Darcy’s law and contains, as a special case, Biot’s theory of saturated poroelastic media.

Authors:
; ;
Publication Date:
Research Org.:
National Energy Technology Laboratory (NETL), Pittsburgh, PA, Morgantown, WV, and Albany, OR
Sponsoring Org.:
USDOE - Office of Fossil Energy (FE)
OSTI Identifier:
939906
Report Number(s):
DOE/NETL-IR-2004-017; NETL-TPR-0848
Journal ID: ISSN 1091-028X; TRN: US200823%%438
DOE Contract Number:  
Not cited
Resource Type:
Journal Article
Journal Name:
Journal of Porous Media
Additional Journal Information:
Journal Volume: 6; Journal Issue: 4; Journal ID: ISSN 1091-028X
Publisher:
Begell House Inc., Redding, CT
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; MULTIPHASE FLOW; FLOW MODELS; POROUS MATERIALS; ELASTICITY; CONSERVATION LAWS; ENTROPY; LAGRANGIAN FUNCTION; THERMODYNAMICS; WAVE PROPAGATION

Citation Formats

Ahmadi, Goodarz, Mazaheri, Ali Reza, and Smith, D H. A model for multiphase flows through poroelastic media. United States: N. p., 2003. Web. doi:10.1615/JPorMedia.v6.i4.30.
Ahmadi, Goodarz, Mazaheri, Ali Reza, & Smith, D H. A model for multiphase flows through poroelastic media. United States. https://doi.org/10.1615/JPorMedia.v6.i4.30
Ahmadi, Goodarz, Mazaheri, Ali Reza, and Smith, D H. 2003. "A model for multiphase flows through poroelastic media". United States. https://doi.org/10.1615/JPorMedia.v6.i4.30.
@article{osti_939906,
title = {A model for multiphase flows through poroelastic media},
author = {Ahmadi, Goodarz and Mazaheri, Ali Reza and Smith, D H},
abstractNote = {A continuum model for multiphase fluid mixture flows through poroelastic media is presented. The basic conservation laws developed via a volume averaging technique are considered. Effects of phasic equilibrated forces are included in the model. Based on the thermodynamics of the multiphase mixture flows, appropriate constitutive equations are formulated. The entropy inequality is exploited, and the method of Lagrangian multiplier is used along with the phasic conservation laws to derive the constitutive equations for the phasic stress tensors, equilibrated stress vectors, and the interactions terms. The special cases of wave propagation in poroelastic media saturated with multiphase fluids, and multiphase flows through porous media, are studied. It is shown that the present theory leads to the extended Darcy’s law and contains, as a special case, Biot’s theory of saturated poroelastic media.},
doi = {10.1615/JPorMedia.v6.i4.30},
url = {https://www.osti.gov/biblio/939906}, journal = {Journal of Porous Media},
issn = {1091-028X},
number = 4,
volume = 6,
place = {United States},
year = {Wed Jan 01 00:00:00 EST 2003},
month = {Wed Jan 01 00:00:00 EST 2003}
}