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ACOUSTIC WAVE PROPAGATION IN SATURATED CRACKED POROUS MEDIA UNDER COMPRESSION

机译:压缩下饱和裂纹多孔介质中的声波传播

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摘要

In this work, we model acoustic wave propagation in pre-loaded fluid-saturated porous materials with cracks. We treat pores and cracks as two subsystems of heterogeneities distributed in an elastic matrix. The pores are considered to be uniformly distributed, the characteristic spatial size on the pore level is l(2). Cracks are isolated, randomly oriented. The concentration of cracks is a periodic function of coordinate whose period is l(1). The cracked porous medium is saturated with an incompressible fluid. The condition of separation of scales holds, and we assume that the wavelength. exceeds the period of concentration of cracks. A multiscale homogenization technique is used to derive a macroscopic problem for wave propagation in effective medium. For different cases of loading and different concentrations of cracks, we estimate effective elastic properties of the medium and evaluate the velocity of propagation of acoustic wave.
机译:在这项工作中,我们用裂缝模型预装流体饱和多孔材料中的声波传播。我们将孔隙和裂缝视为分布在弹性基质中的两个子系统。认为孔被均匀分布,孔径上的特征空间尺寸为L(2)。裂缝被隔离,随机定向。裂缝的浓度是坐标的周期性函数,其周期为L(1)。裂化的多孔介质用不可压缩的流体饱和。分离尺度的条件保持,我们假设波长。超过裂缝浓度的时期。多尺度均质化技术用于导出有效介质中波传播的宏观问题。对于加载和不同浓度的裂缝的不同情况,我们估计介质的有效弹性特性,并评估声波的传播速度。

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