Abstract The problem of seismic wave propagation from a source located in a well is considered. Acoustic equations are used to describe the dynamic behavior of the fluid. The damaged zone is described as a porous fluid-saturated medium by applying the Dorovsky model. The elastic approximation is used to describe the dynamic behavior of the surrounding rock. A unified algorithm based on the grid-characteristic approach with curvilinear grids is proposed for full-wave modeling in the entire computational domain. Its distinctive feature is that the necessary contact conditions on the boundary between media with different rheological properties are stated explicitly. The possibility of acoustic diagnostics of the heterogeneity of the damaged zone is numerically explored.

中文翻译：

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损伤区声学诊断问题

摘要 考虑了井中震源的地震波传播问题。声学方程用于描述流体的动态行为。通过应用 Dorovsky 模型，损坏区被描述为多孔流体饱和介质。弹性近似用于描述围岩的动态行为。提出了一种基于曲线网格的网格特征方法的统一算法，用于整个计算域的全波建模。其显着特点是明确规定了具有不同流变特性的介质之间边界上的必要接触条件。对损坏区域的异质性进行声学诊断的可能性进行了数值探索。