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

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