中文摘要：

Biot 理论研究在实际岩石中被扩大了到多尺度的异质。集中于实验室频率带宽研究，我们讨论在双孔和 BISQ 波浪方程之间的关系，经分解为 double-porosity 的回来导出退化方法到 BISQ，并且给三退化必须满足的必要条件。由介绍动态渗透和扭曲理论，一系列动态双孔波浪方程被导出。狭窄的乐队近似被做为动态双孔波浪领域简化数字模拟。最后，伪 spectral 方法在实验室频率乐队(50 kHz ) 以内被用于波浪模拟。数字结果为动态 double-porosity 对喷射流动的描述和伪静电干扰近似方法的有效性证明了可行性。

英文摘要：

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.