A source time reversal method for seismicity induced by mining

RODRIGO IGNACIO BREVIS VERGARA, Jaime H. Ortega, David Pardo

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)25-45
Number of pages21
JournalInverse Problems and Imaging
Volume11
Issue number1
DOIs
StatePublished - 1 Feb 2017

Keywords

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

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