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Inverse Problems & Imaging
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Article . 2017
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Inverse Problems & Imaging
Article . 2017 . Peer-reviewed
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Inverse Problems and Imaging
Article . 2017 . Peer-reviewed
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A source time reversal method for seismicity induced by mining

Authors: Brevis, Rodrigo I.; Ortega Palma, Jaime; Pardo, David;

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'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

Inverse problems, Induced seismicity, Inverse problems for PDEs, Seismology (including tsunami modeling), earthquakes, Numerical methods for inverse problems for boundary value problems involving PDEs, inverse problems, Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs, Inverse problems in geophysics, time-reversal mirror, acoustic waves, Time-reversal mirror, Acoustic waves, Finite difference methods for initial value and initial-boundary value problems involving PDEs, source time reversal, Source time reversal, induced seismicity

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green
hybrid