在波浪繁殖(Biot流动,喷射流动,和稳固骨骼的粘弹性的机制)期间考虑三重要多孔的媒介机制,我们由分析有效中等理论然后提供能分析波浪繁殖问题在的一个粘弹性的 Biot/squirt ( BISQ )模型介绍水浸透进波浪繁殖的动态管理方程一部分粘滞毛孔液体浸透了多孔的媒介。在这个模型,在不同频率的有效体积模量上的毛孔液体分发模式的效果被考虑。然后,我们导出波浪在时间空间领域的动态方程。阶段速度和在 frequency-wavenumber 域的 viscoelatic BISQ 模型的变细系数方程通过一套飞机泛音解决方案假设被推出。借助于数字模拟,最后,我们在有压缩性的波浪速度和变细上调查水浸透,渗透,和频率的效果。把试验性的观察数据基于紧密的沙岩和碳酸盐,部分浸透的水库岩石的有压缩性的波浪速度被计算。在碳酸盐水库的有压缩性的波浪速度比在沙岩水库对煤气的浸透更敏感。
Taking into account three important porous media mechanisms during wave propagation (the Biot-flow, squirt-flow, and solid-skeleton viscoelastic mechanisms), we introduce water saturation into the dynamic governing equations of wave propagation by analyzing the effective medium theory and then providing a viscoelastic Biot/squirt (BISQ) model which can analyze the wave propagation problems in a partially viscous pore fluid saturated porous media. In this model, the effects of pore fluid distribution patterns on the effective bulk modulus at different frequencies are considered. Then we derive the wave dynamic equations in the time-space domain. The phase velocity and the attenuation coefficient equations of the viscoelatic BISQ model in the frequency-wavenumber domain are deduced through a set of plane harmonic solution assumptions. Finally, by means of numerical simulations, we investigate the effects of water saturation, permeability, and frequency on compressional wave velocity and attenuation. Based on tight sandstone and carbonate experimental observed data, the compressional wave velocities of partially saturated reservoir rocks are calculated. The compressional wave velocity in carbonate reservoirs is more sensitive to gas saturation than in sandstone reservoirs.