TY - JOUR
T1 - Source time reversal (STR) method for linear elasticity
AU - Brevis, Ignacio
AU - Rodríguez-Rozas, Ángel
AU - Ortega, Jaime H.
AU - Pardo, David
N1 - Funding Information:
This work was partially supported by the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant No 644602 GEAGAM (Spain) and CONICYT, Chile - PIA/Concurso de Apoyo a Centros Científicos y Tecnológicos de Excelencia con Financiamiento Basal AFB170001 . Additionally, the first author was supported by CONICYT Doctoral fellowship number (Chile), Fondecyt 11161033 (Chile), ICM P09-015-F (Chile), and EQM140119 . Jaime H. Ortega was partially supported by Fondecyt 1111012 and 1171854 (Chile). Ángel Rodríguez-Rozas and David Pardo were partially funded by the Projects of the Spanish Ministry of Economy and Competitiveness with reference MTM2016-76329-R (AEI/FEDER, EU) and MTM2016-81697-ERC/AEI , the BCAM “Severo Ochoa” accreditation of excellence SEV-2017-0718, the Basque Government through the BERC 2018-2021 program, the Consolidated Research Group Grant IT649-13 on “Mathematical Modeling, Simulation, and Industrial Applications (M2SI)”. David Pardo has also received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No 777778 .
Funding Information:
This work was partially supported by the European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant No 644602 GEAGAM (Spain) and CONICYT, Chile - PIA/Concurso de Apoyo a Centros Científicos y Tecnológicos de Excelencia con Financiamiento Basal AFB170001. Additionally, the first author was supported by CONICYT Doctoral fellowship number 21120646 (Chile), Fondecyt11161033 (Chile), ICMP09-015-F (Chile), and EQM140119. Jaime H. Ortega was partially supported by Fondecyt1111012 and 1171854 (Chile). Ángel Rodríguez-Rozas and David Pardo were partially funded by the Projects of the Spanish Ministry of Economy and Competitiveness with reference MTM2016-76329-R (AEI/FEDER, EU) and MTM2016-81697-ERC/AEI, the BCAM “Severo Ochoa” accreditation of excellence SEV-2017-0718, the Basque Government through the BERC 2018-2021 program, the Consolidated Research Group Grant IT649-13 on “Mathematical Modeling, Simulation, and Industrial Applications (M2SI)”. David Pardo has also received funding from the European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No 777778.
Funding Information:
This work was partially supported by the European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant No 644602 GEAGAM (Spain) and CONICYT, Chile - PIA/Concurso de Apoyo a Centros Cient?ficos y Tecnol?gicos de Excelencia con Financiamiento Basal AFB170001. Additionally, the first author was supported by CONICYT Doctoral fellowship number 21120646 (Chile), Fondecyt11161033 (Chile), ICMP09-015-F (Chile), and EQM140119. Jaime H. Ortega was partially supported by Fondecyt1111012 and 1171854 (Chile). ?ngel Rodr?guez-Rozas and David Pardo were partially funded by the Projects of the Spanish Ministry of Economy and Competitiveness with reference MTM2016-76329-R (AEI/FEDER, EU) and MTM2016-81697-ERC/AEI, the BCAM ?Severo Ochoa? accreditation of excellence SEV-2017-0718, the Basque Government through the BERC 2018-2021 program, the Consolidated Research Group Grant IT649-13 on ?Mathematical Modeling, Simulation, and Industrial Applications (M2SI)?. David Pardo has also received funding from the European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No 777778.
Publisher Copyright:
© 2018 Elsevier Ltd
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
SN - 0898-1221
VL - 77
SP - 1358
EP - 1375
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
IS - 5
ER -