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Title: Constitutive Theory for Velocity Dispersion in Rock with Dual Porosity

Abstract

The high frequency behavior of the bulk modulus of fluid-saturated rock can be obtained from a double-porosity constitutive model, which is a direct conceptual extension of Biot's (1941) constitutive equations and which provides additional stiffening due to unrelaxed induced pore pressures in the soft porosity phase. Modeling the stiffening of the shear modulus at high frequency requires an effective medium average over the unequal induced pore pressures in cracks of different orientations. The implicit assumptions are that pore fluid equilibration does not occur between cracks of different orientations and between cracks and porous matrix. The correspondence between the constitutive equations of Berryman and Wang (1995) and Mavko and Jizba (1991) is explicitly noted.

Authors:
;
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
15013447
Report Number(s):
UCRL-JC-147809
TRN: US200601%%409
DOE Contract Number:  
W-7405-ENG-48
Resource Type:
Conference
Resource Relation:
Conference: Second Biot Conference on Poromechanics, Grenoble, France, Aug 26 - Aug 28, 2002
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 58 GEOSCIENCES; PORE PRESSURE; POROSITY; SHEAR; SIMULATION; VELOCITY

Citation Formats

Wang, H F, and Berryman, J G. Constitutive Theory for Velocity Dispersion in Rock with Dual Porosity. United States: N. p., 2002. Web.
Wang, H F, & Berryman, J G. Constitutive Theory for Velocity Dispersion in Rock with Dual Porosity. United States.
Wang, H F, and Berryman, J G. 2002. "Constitutive Theory for Velocity Dispersion in Rock with Dual Porosity". United States. https://www.osti.gov/servlets/purl/15013447.
@article{osti_15013447,
title = {Constitutive Theory for Velocity Dispersion in Rock with Dual Porosity},
author = {Wang, H F and Berryman, J G},
abstractNote = {The high frequency behavior of the bulk modulus of fluid-saturated rock can be obtained from a double-porosity constitutive model, which is a direct conceptual extension of Biot's (1941) constitutive equations and which provides additional stiffening due to unrelaxed induced pore pressures in the soft porosity phase. Modeling the stiffening of the shear modulus at high frequency requires an effective medium average over the unequal induced pore pressures in cracks of different orientations. The implicit assumptions are that pore fluid equilibration does not occur between cracks of different orientations and between cracks and porous matrix. The correspondence between the constitutive equations of Berryman and Wang (1995) and Mavko and Jizba (1991) is explicitly noted.},
doi = {},
url = {https://www.osti.gov/biblio/15013447}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Thu Mar 28 00:00:00 EST 2002},
month = {Thu Mar 28 00:00:00 EST 2002}
}

Conference:
Other availability
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