On the full-waveform inversion of seismic moment tensors

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-...

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Bibliographic Details
Published in:International journal of solids and structures 2020-10, Vol.202, p.717-728
Main Authors: Amad, Alan A.S., Novotny, Antonio A., Guzina, Bojan B.
Format: Article
Language:English
Subjects:
Acoustic emission
Elastic bodies
Elastic properties
Inverse source problem
Mathematical analysis
Multiple sources
Reconstruction
Seismic activity
Seismic moment tensor
Seismic surveys
Tensors
Waveform inversion
Waveforms
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Summary: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 R2; however our framework is directly extendable to inverse (seismic) source problems in R3 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.
ISSN:0020-7683
1879-2146
DOI:10.1016/j.ijsolstr.2020.06.012