On the full-waveform inversion of seismic moment tensors

Alan A.S. Amad; Antonio A. Novotny; Bojan B. Guzina

doi:10.1016/j.ijsolstr.2020.06.012

On the full-waveform inversion of seismic moment tensors

Alan A.S. Amad, Antonio A. Novotny, Bojan B. Guzina

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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 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.

Original language	English (US)
Pages (from-to)	717-728
Number of pages	12
Journal	International Journal of Solids and Structures
Volume	202
DOIs	https://doi.org/10.1016/j.ijsolstr.2020.06.012
State	Published - Oct 1 2020
Externally published	Yes

Bibliographical note

Funding Information:
This research was partly supported by CNPq (Brazilian Research Council), CAPES (Brazilian Higher Education Staff Training Agency) and FAPERJ (Research Foundation of the State of Rio de Janeiro). The support is gratefully acknowledged. The first author gratefully acknowledges the financial support received from the EPSRC in the form of grant P/R002134/1. The third author kindly acknowledges the support provided by the endowed Shimizu Professorship and the U.S. National Science Foundation (CMMI Grant #1536110) during the course of this investigation.

Funding Information:
This research was partly supported by CNPq (Brazilian Research Council), CAPES (Brazilian Higher Education Staff Training Agency) and FAPERJ (Research Foundation of the State of Rio de Janeiro). The support is gratefully acknowledged. The first author gratefully acknowledges the financial support received from the EPSRC in the form of grant P/R002134/1. The third author kindly acknowledges the support provided by the endowed Shimizu Professorship and the U.S. National Science Foundation (CMMI Grant #1536110) during the course of this investigation.

Publisher Copyright:
© 2020 Elsevier Ltd

Keywords

Acoustic emission
Inverse source problem
Multiple sources
Seismic moment tensor
Waveform inversion

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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 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.",

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On the full-waveform inversion of seismic moment tensors

Abstract

Bibliographical note

Keywords

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