@article{4a5e06eda8564a9ba1c3cdbe06b8a8d7,
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 = "Funding Information: This work was partially supported by PFB03-CMM, Fondecyt 1111012 and European Union?s Horizon 2020 Research and Innovation Programme under the Marie-Sklodowska-Curie grant #644602 GEAGAM. Part of this work was done while J. Ortega was visiting the Departamento de Matem?tica, Universidad Aut?noma de Madrid and the Instituto de Ciencias Matem?ticas ICMAT- CSIC, Spain. The first author was supported by CONICYT Doctoral fellowship number 21120646 and part of this work was done while he was visiting Universidad del Pa?s Vasco UPV/EHU. David Pardo has received funding from the European Union?s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No 644602, the Project of the Spanish Ministry of Economy and Competitiveness with reference MTM2013-40824-P, the BCAM ?Severo Ochoa? accreditation of excellence SEV-2013-0323, and the Basque Government through the BERC 2014-2017 program, the Consolidated Research Group Grant IT649-13 on ?Mathematical Modeling, Simulation, and Industrial Applications (M2SI)?, and the ICERMAR Project KK-2015/0000097. Publisher Copyright: {\textcopyright}2017 American Institute of Mathematical Sciences.",
year = "2017",
month = feb,
doi = "10.3934/ipi.2017002",
language = "English",
volume = "11",
pages = "25--45",
journal = "Inverse Problems and Imaging",
issn = "1930-8337",
number = "1",
}