
doi: 10.3934/ipi.2017002
handle: 20.500.11824/365
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.
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
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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