A Spectral Boundary-Integral Method for Quasi-Dynamic Ruptures of Multiple Parallel Faults
A Spectral Boundary-Integral Method for Quasi-Dynamic Ruptures of Multiple Parallel Faults
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DOI：
10.1785/0120210004
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发表时间：
2021-06-01
影响因子：
3
通讯作者：
Barbot, Sylvain
中科院分区：
文献类型：
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作者：
Barbot, Sylvain
破裂动力学的数值模型提供了对断层破坏物理学的深刻理解。然而，解决多个故障之间的应力相互作用仍然具有挑战性的数值。在这里，我们推导出弹性静力学的绿色的功能所造成的应力和位移的任意滑移分布沿着多个平行断层。该方程是在傅立叶域中推导的，提供了一种有效的方法来计算应力与快速傅立叶变换的相互作用。我们证明了广泛的应用范围内的方法的相关性，通过模拟断裂动力学的速率和状态相关的摩擦接触控制的单个和多个平行故障，使用光谱边界积分方法和辐射阻尼近似。在反平面应变近似下，我们展示了破裂尺寸呈幂律分布的地震周期模拟，以及在不同参数范围内的孕震慢滑事件序列。采用面内应变近似，模拟了约束步距的断裂动力学。最后，我们描述了大地震周期沿着几个平行的走滑断层在三维空间。该方法是有用的，以探索相互作用或孤立的故障与多个自由度的动力学。
Numerical models of rupture dynamics provide great insights into the physics of fault failure. However, resolving stress interactions among multiple faults remains challenging numerically. Here, we derive the elastostatic Green's functions for stress and displacement caused by arbitrary slip distributions along multiple parallel faults. The equations are derived in the Fourier domain, providing an efficient means to calculate stress interactions with the fast Fourier transform. We demonstrate the relevance of the method for a wide range of applications, by simulating the rupture dynamics of single and multiple parallel faults controlled by a rate- and state-dependent frictional contact, using the spectral boundary integral method and the radiation-damping approximation. Within the antiplane strain approximation, we show seismic cycle simulations with a power-law distribution of rupture sizes and, in a different parameter regime, sequences of seismogenic slow-slip events. Using the in-plane strain approximation, we simulate the rupture dynamics of a restraining stepover. Finally, we describe cycles of large earthquakes along several parallel strike-slip faults in three dimensions. The approach is useful to explore the dynamics of interacting or isolated faults with many degrees of freedom.