A source time reversal method for seismicity induced by mining

Rodrigo I. Brevis; Jaime H. Ortega; David Pardo

doi:10.3934/ipi.2017002

A source time reversal method for seismicity induced by mining

Rodrigo I. Brevis, Jaime H. Ortega, David Pardo

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

2 Scopus citations

Abstract

In this work, we present a modified Time-Reversal Mirror (TRM) Method, called Source Time Reversal (STR), to find the spatial distribution of a seismic source induced by mining activity. This methodology is based on a known full description of the temporal dependence of the source, the Duhamel’s principle, and the time-reverse property of the wave equation. We also provide an error estimate of the reconstruction when the measurements are acquired over the entire boundary, and we show experimentally the influence of measuring on a subdomain of the boundary. Numerical results indicate that the methodology is able to recover continuous and discontinuous sources, and it remains stable for partial boundary measurements.

Original language	English
Pages (from-to)	25-45
Number of pages	21
Journal	Inverse Problems and Imaging
Volume	11
Issue number	1
DOIs	https://doi.org/10.3934/ipi.2017002
State	Published - Feb 2017
Externally published	Yes

Keywords

Acoustic waves
Induced seismicity
Inverse problems
Source time reversal
Time-reversal mirror

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10.3934/ipi.2017002

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title = "A source time reversal method for seismicity induced by mining",

abstract = "In this work, we present a modified Time-Reversal Mirror (TRM) Method, called Source Time Reversal (STR), to find the spatial distribution of a seismic source induced by mining activity. This methodology is based on a known full description of the temporal dependence of the source, the Duhamel{\textquoteright}s principle, and the time-reverse property of the wave equation. We also provide an error estimate of the reconstruction when the measurements are acquired over the entire boundary, and we show experimentally the influence of measuring on a subdomain of the boundary. Numerical results indicate that the methodology is able to recover continuous and discontinuous sources, and it remains stable for partial boundary measurements.",

keywords = "Acoustic waves, Induced seismicity, Inverse problems, Source time reversal, Time-reversal mirror",

author = "Brevis, {Rodrigo I.} and Ortega, {Jaime H.} and David Pardo",

note = "Publisher Copyright: {\textcopyright}2017 American Institute of Mathematical Sciences.",

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T1 - A source time reversal method for seismicity induced by mining

AU - Brevis, Rodrigo I.

AU - Ortega, Jaime H.

AU - Pardo, David

PY - 2017/2

Y1 - 2017/2

N2 - In this work, we present a modified Time-Reversal Mirror (TRM) Method, called Source Time Reversal (STR), to find the spatial distribution of a seismic source induced by mining activity. This methodology is based on a known full description of the temporal dependence of the source, the Duhamel’s principle, and the time-reverse property of the wave equation. We also provide an error estimate of the reconstruction when the measurements are acquired over the entire boundary, and we show experimentally the influence of measuring on a subdomain of the boundary. Numerical results indicate that the methodology is able to recover continuous and discontinuous sources, and it remains stable for partial boundary measurements.

AB - In this work, we present a modified Time-Reversal Mirror (TRM) Method, called Source Time Reversal (STR), to find the spatial distribution of a seismic source induced by mining activity. This methodology is based on a known full description of the temporal dependence of the source, the Duhamel’s principle, and the time-reverse property of the wave equation. We also provide an error estimate of the reconstruction when the measurements are acquired over the entire boundary, and we show experimentally the influence of measuring on a subdomain of the boundary. Numerical results indicate that the methodology is able to recover continuous and discontinuous sources, and it remains stable for partial boundary measurements.

KW - Acoustic waves

KW - Induced seismicity

KW - Inverse problems

KW - Source time reversal

KW - Time-reversal mirror

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DO - 10.3934/ipi.2017002

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SP - 25

EP - 45

JO - Inverse Problems and Imaging

JF - Inverse Problems and Imaging

IS - 1

ER -

A source time reversal method for seismicity induced by mining

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Keywords

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