论文标题
在地震瞬间张量的全波倒置上
On the full-waveform inversion of seismic moment tensors
论文作者
论文摘要
在这项工作中，我们提出了一种通过联合源位置和力矩张量反转（微）地震事件的空间重建和表征的全波形技术。该方法是在频域中配制的，它允许同时反转多个点状事件。在提出的方法的核心中是对源位置的网格搜索，该源位置封装了相应矩张量的最佳条件。这些开发项目迎合了$ \ mathbb {r}^2 $的紧凑型弹性物体；但是，我们的框架可直接扩展到$ \ mathbb {r}^3 $中的倒数（地震）源问题，涉及有界和无限的弹性域。包括一组数值结果，包括实验室应用，以说明在涉及的情况下的反向解决方案的性能：（i）重建多个事件，（ii）稀疏（尖端）边界测量值，（iii）“微观性事件的离格”位置，以及（IV）对培养基弹性属性的不可消除知识。
In this work, we propose a full-waveform technique for the spatial reconstruction and characterization of (micro-) seismic events via joint source location and moment tensor inversion. The approach is formulated in the frequency domain, and it allows for the simultaneous inversion of multiple point-like events. In the core of the proposed methodology is a grid search for the source locations that encapsulates the optimality condition on the respective moment tensors. The developments cater for compactly supported elastic bodies in $\mathbb{R}^2$; however our framework is directly extendable to inverse (seismic) source problems in $\mathbb{R}^3$ involving both bounded and unbounded elastic domains. A set of numerical results, targeting laboratory applications, is included to illustrate the performance of the inverse solution in situations involving: (i) reconstruction of multiple events, (ii) sparse (pointwise) boundary measurements, (iii) "off-grid" location of the micro-seismic events, and (iv) inexact knowledge of the medium's elastic properties.
