Proposal of extended boundary integral equation method for rupture dynamics interacting with medium interfaces

与介质界面相互作用的破裂动力学的扩展边界积分方程方法的提出

• 批准号: 22540429
• 负责人: KAME Nobuki
• 金额: $ 2.41万
• 依托单位: The University of Tokyo
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2010
• 资助国家: 日本
• 起止时间: 2010 至 2012
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22540429/
• 关键词: 地震現象; 境界積分方程式法; 動的破壊; 亀裂; 不均質媒質; 地震; 弾性動力学; 破壊; 断層; 地震現象; 境界積分方程式法; 動的破壊; 亀裂; 不均質媒質; 地震; 弾性動力学; 破壊; 断層

Here we propose an extended BIEM (XBIEM) that is applicable in an inhomogeneous bounded medium consisting of homogeneous sub-regions. In the formulation of the XBIEM, the interfaces of the sub-regions are regarded as extended boundaries upon which boundary integral equations are additionally derived. This has been originally known as a multiregional approach in the analysis of seismic wave propagation in the frequency domain and it is employed here for rupture dynamics interacting with medium interfaces in time domain. All of the boundary integral equations are fully coupled by imposing boundary conditions on the extended boundaries and then numerically solved after spatiotemporal discretization. This paper gives the explicit expressions of discretized stress kernels for anti-plane nonplanar problems and the numerical method for the implementation of the XBIEM, which are validated in two representative planar fault problems.

在这里，我们提出了一个扩展的Biem（XBIEM），该比例适用于由均匀子区域组成的不均匀界介质。在XBIEM的配方中，子区域的接口被认为是额外得出边界积分方程的扩展边界。在频域中的地震波传播分析中，这最初被称为多区域方法，此处用于与时域中的中间接口相互作用的破裂动力学。所有边界积分方程都通过在扩展边界上施加边界条件，然后在时空离散后数字求解。本文给出了针对反平面非平面问题的离散应力内核的明确表达，以及用于实施XBIEM的数值方法，这些方法在两个代表性的平面断层问题中得到了验证。