TY - JOUR
T1 - Extraction of the 1D Green's function in a layered medium by three interferometry techniques
T2 - Theory and a case study
AU - Jiménez-González, Carlos O.
AU - Vazquez-Feijoo, Juan A.
AU - Urriolagoitia Sosa, Guillermo
AU - Romero Angeles, Beatriz
AU - Pech Pérez, Andrés
N1 - Publisher Copyright:
© 2017 Elsevier Ltd
PY - 2017/6/1
Y1 - 2017/6/1
N2 - This paper presents a comparison of three interferometry techniques; cross-correlation, deconvolution and cross-coherency, when applied on a theoretical model of a layered medium. Explicit equations for the interferometry wavefields are obtained from the equations that govern displacements in a single-layered medium under the incidence of a plane SH-wave. A propagation matrix is developed in order to calculate the deconvolved wavefield in a medium with N layers without the need to know the displacement equations. It is herein demonstrated that cross-coherency is equivalent to the sign function of deconvolution; applied on deconvolved wavefields the cross-coherency is obtained by using the propagation matrix. The interferometry response from seismic data in the Roma C borehole localized in the valley of Mexico is compared with the theoretical response generated with the geological profile of the borehole, by deconovolution and cross-coherency.
AB - This paper presents a comparison of three interferometry techniques; cross-correlation, deconvolution and cross-coherency, when applied on a theoretical model of a layered medium. Explicit equations for the interferometry wavefields are obtained from the equations that govern displacements in a single-layered medium under the incidence of a plane SH-wave. A propagation matrix is developed in order to calculate the deconvolved wavefield in a medium with N layers without the need to know the displacement equations. It is herein demonstrated that cross-coherency is equivalent to the sign function of deconvolution; applied on deconvolved wavefields the cross-coherency is obtained by using the propagation matrix. The interferometry response from seismic data in the Roma C borehole localized in the valley of Mexico is compared with the theoretical response generated with the geological profile of the borehole, by deconovolution and cross-coherency.
KW - Cross-coherency
KW - Cross-correlation
KW - Deconvolution
KW - Green's function
KW - Layered medium
KW - Seismic interferometry
UR - http://www.scopus.com/inward/record.url?scp=85016016665&partnerID=8YFLogxK
U2 - 10.1016/j.soildyn.2017.03.007
DO - 10.1016/j.soildyn.2017.03.007
M3 - Artículo
SN - 0267-7261
VL - 97
SP - 233
EP - 240
JO - Soil Dynamics and Earthquake Engineering
JF - Soil Dynamics and Earthquake Engineering
ER -