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

实验室频段的双孔岩石模型与喷射流(英文)

作　　者：巴晶[1] 曹宏[1] 姚逢昌[1] 聂建新[2] 杨慧珠[3] 

机构地区：[1]中国石油勘探开发研究院石油物探技术研究所,北京100083 [2]北京理工大学爆炸科学与技术国家重点实验室,北京100081 [3]中国北京清华大学地震波勘探开发研究所,北京100084

出　　处：《Applied Geophysics》2008年第4期261-276,共16页应用地球物理（英文版）

基　　金：supported by the National Basic Research Program of China (973 Program, 2007CB209505);the International Cooperative Project of the Ministry of Science and Technology of China (2006DFB62030)

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.近来,Biot理论的研究被拓展到多尺度下岩石的非均匀性。着眼于实验室频段,本文从理论上讨论了双孔波动方程与BISQ方程之间的关系,推导了双孔方程向BISQ方程退化所必须满足的三个条件。引入了与频率相关的动态渗透率、动态流动增量的概念,从而写出了完整格式的动态双孔波动方程。基于窄频近似,提出了动态双孔方程的一种近似模拟方法。最后,基于虚谱法给出了实验室频段(50KHz)的弹性波模拟结果,结果证实了动态双孔方程描述Squirt流机制的可行性以及窄频近似方法的有效性。

关 键 词：double-porosity rock pseudo-spectral method self-affine fractal microscopicscale mesoscopic scale 

分 类 号：P631.4[天文地球—地质矿产勘探]