TY - JOUR
T1 - A source time reversal method for seismicity induced by mining
AU - BREVIS VERGARA, RODRIGO IGNACIO
AU - Ortega, Jaime H.
AU - Pardo, David
PY - 2017/2/1
Y1 - 2017/2/1
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
UR - http://www.scopus.com/inward/record.url?scp=85009895423&partnerID=8YFLogxK
U2 - 10.3934/ipi.2017002
DO - 10.3934/ipi.2017002
M3 - Article
AN - SCOPUS:85009895423
VL - 11
SP - 25
EP - 45
JO - Inverse Problems and Imaging
JF - Inverse Problems and Imaging
SN - 1930-8337
IS - 1
ER -