Effective stress law for the permeability of a limestone

被引:214
作者
Ghabezloo, Siavash [1 ]
Sulem, Jean [1 ]
Guedon, Sylvine [2 ]
Martineau, Francois
机构
[1] Univ Paris Est, CERMES, UR Navier, Ecole Natl Ponts & Chaussees, F-77455 Champs Sur Marne 2, Marne La Valle, France
[2] Univ Paris Est, LCPC, MSRGI, F-75015 Paris 15, France
关键词
Permeability; Effective stress; Limestone; Microstructure; Microhardness test; EFFECTIVE PRESSURE LAW; PORE PRESSURE; CONFINING PRESSURE; HARDNESS; GRANITE; ROCK;
D O I
10.1016/j.ijrmms.2008.05.006
中图分类号
P5 [地质学];
学科分类号
0709 ; 081803 ;
摘要
The effective stress law for the permeability of a limestone is studied experimentally by performing constant-head permeability tests in a triaxial cell with different conditions of con. ning pressure sigma and pore pressure p(f). Test results show that a pore pressure increase and a con. ning pressure decrease both result in an increase of the permeability, and that the effect of the pore pressure change on the variation of the permeability is more important than the effect of a change of the con. ning pressure. A power law is proposed for the variation of the permeability with the effective stress (sigma' = sigma-n(k)p(f)). The permeability-effective stress coefficient n(k) increases linearly with the differential pressure and is greater than unity as soon as the differential pressure exceeds few bars. The test results are well reproduced using the proposed permeability-effective stress law. A conceptual pore-shell model based on a detailed observation of the microstructure of the studied limestone is proposed. This model is able to explain the experimental observations on the effect of the total stress and of the pore pressure on the permeability of the limestone. Effective stress coefficients for the stress-dependent permeability which are greater than one are obtained. It is shown that the controlling factor is the ratio of the different bulk moduli of the various constituents of the rock. This ratio is studied experimentally by performing microhardness tests. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:297 / 306
页数:10
相关论文
共 32 条
[1]   Effective stress law for the permeability of clay-rich sandstones [J].
Al-Wardy, W ;
Zimmerman, RW .
JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH, 2004, 109 (B4) :B042031-10
[2]  
ALWARDY W, 2003, THESIS IMPERIAL COLL
[3]  
[Anonymous], 1984, Effects of stress, pore pressure, and pore fluids on bulk strain, velocity, and permeability in rocks
[4]  
Bass J.D., 1995, Mineral Physics and Crystallography: A Handbook of Physical Constants: American Geophysical Union Reference Shelf, V2, P45, DOI [DOI 10.1029/RF002P0045, 10.1029/RF002p0045]
[5]   THE EFFECTIVE PRESSURE LAW FOR PERMEABILITY DURING PORE PRESSURE AND CONFINING PRESSURE CYCLING OF SEVERAL CRYSTALLINE ROCKS [J].
BERNABE, Y .
JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH AND PLANETS, 1987, 92 (B1) :649-657
[6]   THE EFFECTIVE PRESSURE LAW FOR PERMEABILITY IN CHELMSFORD GRANITE AND BARRE GRANITE [J].
BERNABE, Y .
INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES, 1986, 23 (03) :267-275
[7]   EFFECTIVE STRESS FOR TRANSPORT-PROPERTIES OF INHOMOGENEOUS POROUS ROCK [J].
BERRYMAN, JG .
JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH, 1992, 97 (B12) :17409-17424
[8]   LABORATORY INVESTIGATION OF PENETRATION PROPERTIES OF COMPLETE COAL SERIES [J].
DAS, B ;
HUCKA, V .
INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES, 1975, 12 (07) :213-217
[9]   VICKERS HARDNESS CONCEPT IN LIGHT OF VICKERS IMPRESSION [J].
DAS, B .
INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES, 1974, 11 (03) :85-89
[10]   LABORATORY MEASUREMENT OF COMPACTION-INDUCED PERMEABILITY CHANGE IN POROUS ROCKS - IMPLICATIONS FOR THE GENERATION AND MAINTENANCE OF PORE PRESSURE EXCESS IN THE CRUST [J].
DAVID, C ;
WONG, TF ;
ZHU, WL ;
ZHANG, JX .
PURE AND APPLIED GEOPHYSICS, 1994, 143 (1-3) :425-456