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arXiv · 2007.06611

On the full-waveform inversion of seismic moment tensors

Alan A. S. Amad·Antonio A. Novotny·Bojan B. Guzina
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Abstract

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.

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Alan A. S. Amad, Antonio A. Novotny, Bojan B. Guzina. 2020-07-13. On the full-waveform inversion of seismic moment tensors. https://doi.org/10.1016/j.ijsolstr.2020.06.012

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