PSV Propagation in a Solid with Random Plane-Parallel Fractures

[9526786]弗雷泽这项研究是为了发展在含有平面平行裂缝的固体中确定P波和SV波速度的理论。断裂分离按照指定的概率密度函数是随机的，断裂柔度也按照另一个指定的概率密度函数是随机的。目前正在出版的SH的先前结果表明，该项目是可行的。开发了三种新的SH方法，它们都是一致的；目标是将这三种方法推广到PSV问题。研究结果可应用于平平行裂缝介质中地震速度结构的反演，这种反演在地壳中，特别是在油气二次、三次开采和地热开采中广泛适用。

9526786 Frazer This research is to develop the theory for determining the speeds of P- and SV- waves in a solid containing plane-parallel fractures. The fracture separation is random in accordance with a specified probability density function, and the fracture compliances are also random in accordance with another specified probability density function. Prior results for SH, now in press, suggest that the project is feasible. Three new methods were developed for SH, and they all agree with each other; the goal is to generalize these three methods to the PSV problem. The results have application to the inversion for seismic velocity structure in plane-parallel fractured media, a situation that is widely applicable to the crust of the earth, particularly in the context of secondary and tertiary recovery of oil and gas, and in geothermal operations.