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The method of fundamental solutions for the elastic wave scattering in a double-porosity dual-permeability medium
Applied Mathematical Modelling ( IF 5 ) Pub Date : 2021-05-02 , DOI: 10.1016/j.apm.2021.04.021
Zhongxian Liu , Zhikun Wang , Alexander H.D. Cheng , Xue Zhang

For materials that have a matrix porosity at the microscopic scale, and an interconnecting fracture system at the mesoscopic scale, the double-porosity dual-permeability model provides a better prediction of seismic wave attenuation than the single porosity model, due to the flow exchange mechanism between these different size pores. The current work offers for the first time a numerical solution tool based on the method of fundamental solutions for problems of 3-D wave scattering and dynamic stress concentration around scatterers, such as cavities and embedded inhomogeneous inclusions, in an infinite double-porosity dual-permeability medium. The method of fundamental solutions is based on the spherical wave potentials representing three compressional waves and one shear wave. The accuracy and stability of the method are tested against other available results, and are demonstrated to be excellent. Wave scattering and dynamic stress concentration problems due to spherical cavity and poroelastic inclusion are then investigated for incident plane P1 and SV waves in the frequency domain. The research shows that the seismic responses are sensitive to the incident frequency, the boundary drainage condition, and material properties such as porosity.



中文翻译:

双孔双渗透介质中弹性波散射的基本解法

对于在微观尺度上具有基质孔隙度,在介观尺度上具有互连裂缝系统的材料,由于具有流动交换机制,双孔隙率双渗透率模型比单孔隙率模型提供了更好的地震波衰减预测。在这些大小不一的毛孔之间。当前的工作首次提供了一种基于基本解法的数值解法工具,用于求解无限大双孔隙双孔结构中3D波散射和散射体周围的动态应力集中问题,例如空腔和嵌入的不均匀夹杂物。渗透性介质。基本解法基于代表三个压缩波和一个剪切波的球面波势。该方法的准确性和稳定性已针对其他可用结果进行了测试,并被证明是极好的。然后针对频域中入射平面P1和SV波研究了由于球形空腔和多孔弹性夹杂而引起的波散射和动态应力集中问题。研究表明,地震响应对入射频率,边界排水条件和材料特性(例如孔隙率)敏感。

更新日期:2021-05-18
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