TY - JOUR

T1 - Source time reversal (STR) method for linear elasticity

AU - BREVIS VERGARA, RODRIGO IGNACIO

AU - Rodríguez-Rozas, Ángel

AU - Ortega, Jaime H.

AU - Pardo, David

PY - 2019/3/1

Y1 - 2019/3/1

N2 - We study the problem of source reconstruction for a linear elasticity problem applied to seismicity induced by mining. We assume the source is written as a variable separable function f(x)g(t). We first present a simple proof a local decay result for elasticity in the case of homogeneous media. We then extend the source time reversal method, originally developed for acoustic waves, to an elastic system of waves. Additionally, we present a fast reconstruction implementation for large data sets. This is especially useful in the elastic case, in which the numerical cost is higher than in fluid acoustics. We complement this work with several 2D and 3D numerical experiments and an analysis of the results.

AB - We study the problem of source reconstruction for a linear elasticity problem applied to seismicity induced by mining. We assume the source is written as a variable separable function f(x)g(t). We first present a simple proof a local decay result for elasticity in the case of homogeneous media. We then extend the source time reversal method, originally developed for acoustic waves, to an elastic system of waves. Additionally, we present a fast reconstruction implementation for large data sets. This is especially useful in the elastic case, in which the numerical cost is higher than in fluid acoustics. We complement this work with several 2D and 3D numerical experiments and an analysis of the results.

KW - Induced seismicity

KW - Inverse problems

KW - Linear elasticity

KW - Source time reversal

KW - Time-reversal mirror

UR - http://www.scopus.com/inward/record.url?scp=85057826424&partnerID=8YFLogxK

U2 - 10.1016/j.camwa.2018.11.015

DO - 10.1016/j.camwa.2018.11.015

M3 - Article

AN - SCOPUS:85057826424

VL - 77

SP - 1358

EP - 1375

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

SN - 0898-1221

IS - 5

ER -