Double-porosity rock model and squirt flow in the laboratory frequency band

被引：31

作者：

Ba Jing ^{[1
]}

Cao Hong ^{[1
]}

Yao Fengchang ^{[1
]}

Nie Jianxin ^{[2
]}

Yang Huizhu ^{[3
]}

机构：

[1] PetroChina, Res Inst Petr Explorat & Dev, Beijing 1000084, Peoples R China

[2] Beijing Inst Technol, State Key Lab Explos Sci & Technol, Beijing 100081, Peoples R China

[3] Tsinghua Univ, Inst Seism Explorat, Beijing 100084, Peoples R China

来源：

APPLIED GEOPHYSICS | 2008年 / 5卷 / 04期

关键词：

double-porosity rock; pseudo-spectral method; self-affine fractal; microscopic scale; mesoscopic scale;

D O I：

10.1007/s11770-008-0036-0

中图分类号：

P3 [地球物理学]; P59 [地球化学];

学科分类号：

0708 ; 070902 ;

摘要：

Biot theory research has been extended to the multi-scale heterogeneity in actual rocks. Focused on laboratory frequency bandwidth studies, we discuss the relationships between double-porosity and BISQ wave equations, analytically derive the degeneration method for double-porosity's return to BISQ, and give three necessary conditions which the degeneration must satisfy. By introducing dynamic permeability and tortuosity theory, a full set of dynamic double-porosity wave equations are derived. A narrow band approximation is made to simplify the numerical simulation for dynamic double-porosity wavefields. Finally, the pseudo-spectral method is used for wave simulation within the laboratory frequency band (50 kHz). Numerical results have proved the feasibility for dynamic double-porosity's description of squirt flow and the validity of the quasi-static approximation method.

引用

页码：261 / 276

页数：16

共 33 条

[1] BA J, 2008, THESIS TSINGHUA U BE
[2] BA J, 2008, 23 PIERS 2008 HANGZH
[3] Mesoscopic fluid flow simulation in double-porosity rocks
Ba, Jing
Nie, Jian-Xin
Cao, Hong
Yang, Hui-Zhu
[J]. GEOPHYSICAL RESEARCH LETTERS, 2008, 35 (04)
[4] Ba J, 2008, CHINESE J GEOPHYS-CH, V51, P1527
[5] The elastic coefficients of double-porosity models for fluid transport in jointed rock
Berryman, JG
Wang, HF
[J]. JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH, 1995, 100 (B12) : 24611 - 24627
[6] GENERALIZED THEORY OF ACOUSTIC PROPAGATION IN POROUS DISSIPATIVE MEDIA
BIOT, MA
[J]. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1962, 34 (09) : 1254 - +
[7] THEORY OF PROPAGATION OF ELASTIC WAVES IN A FLUID-SATURATED POROUS SOLID .2. HIGHER FREQUENCY RANGE
BIOT, MA
[J]. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1956, 28 (02) : 179 - 191
[8] MECHANICS OF DEFORMATION AND ACOUSTIC PROPAGATION IN POROUS MEDIA
BIOT, MA
[J]. JOURNAL OF APPLIED PHYSICS, 1962, 33 (04) : 1482 - +
[9] Carcione J. M., 1995, Journal of Computational Acoustics, V3, P261, DOI 10.1142/S0218396X95000136
[10] Full frequency-range transient solution for compressional waves in a fluid-saturated viscoacoustic porous medium
Carcione, JM
QuirogaGoode, G
[J]. GEOPHYSICAL PROSPECTING, 1996, 44 (01) : 99 - 129

← 1 2 3 4 →