Numerical simulation of multiple scattering of P and SV waves caused by near-surface parallel cracks

Rafael ávila-Carrera, Alejandro Rodríguez-Castellanos, Celestino Valle-Molina, Francisco José Sánchez-Sesma, Francisco Luzón, Ernesto González-Flores

Research output: Contribution to journalArticleResearchpeer-review

Abstract

© Geofísica Internacional, Unidad Editorial, Instituo de Geofísica - UNAM 2016. Scattering and diffraction of P and SV waves caused by parallel oriented cracks located near to a free surface are investigated in this work. The Indirect Boundary Element Method (IBEM) was applied for studying the wave propagation phenomena in a half-plane model that contain the cracks. Various incidence angles of P and SV waves are considered. Sometime before it has been reported that a near free-surface crack generates scattered surface waves whose amplitude spectra show conspicuous resonance peaks. Such effect has been attributed to local resonances originated in a virtual layer between the shallowest crack and the free surface. For our case of two parallel crack system, where cracks are located at different depths, the amplitude spectra show additional peaks, which can be associated with the presence of the second crack. Given similar sizes between these two cracks, the characteristic resonance frequency observed at the free surface corresponds mainly to the equivalent layer formed by the shallowest crack and the free surface. However, when the deepest crack becomes sufficiently large with respect to the shallow crack, two resonance characteristic frequency peaks appear in the measured spectra at the free surface. Some examples including a three crack system are also illustrated in our work. The identification and characterization of the seismic response for the scattered field generated by the second and third crack has been an intricate task and, the time domain interpretation of traces becomes quite complicated. The results in this paper have been validated against some other reported from classic papers. In order to show the seismic response and multiple scattering effects due to the presence of systems of cracks, calculations in frequency and time domain are provided.
Original languageAmerican English
Pages (from-to)275-291
Number of pages245
JournalGeofisica Internacional
DOIs
StatePublished - 1 Jan 2016
Externally publishedYes

Fingerprint

Multiple scattering
P waves
crack
cracks
scattering
Cracks
Computer simulation
simulation
Seismic response
seismic response
half planes
surface cracks
boundary element method
Boundary element method
surface waves
Surface waves
surface wave
Wave propagation
diffraction
wave propagation

Cite this

ávila-Carrera, R., Rodríguez-Castellanos, A., Valle-Molina, C., Sánchez-Sesma, F. J., Luzón, F., & González-Flores, E. (2016). Numerical simulation of multiple scattering of P and SV waves caused by near-surface parallel cracks. Geofisica Internacional, 275-291. https://doi.org/10.19155/geoint.2016.055.4.5
ávila-Carrera, Rafael ; Rodríguez-Castellanos, Alejandro ; Valle-Molina, Celestino ; Sánchez-Sesma, Francisco José ; Luzón, Francisco ; González-Flores, Ernesto. / Numerical simulation of multiple scattering of P and SV waves caused by near-surface parallel cracks. In: Geofisica Internacional. 2016 ; pp. 275-291.
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abstract = "{\circledC} Geof{\'i}sica Internacional, Unidad Editorial, Instituo de Geof{\'i}sica - UNAM 2016. Scattering and diffraction of P and SV waves caused by parallel oriented cracks located near to a free surface are investigated in this work. The Indirect Boundary Element Method (IBEM) was applied for studying the wave propagation phenomena in a half-plane model that contain the cracks. Various incidence angles of P and SV waves are considered. Sometime before it has been reported that a near free-surface crack generates scattered surface waves whose amplitude spectra show conspicuous resonance peaks. Such effect has been attributed to local resonances originated in a virtual layer between the shallowest crack and the free surface. For our case of two parallel crack system, where cracks are located at different depths, the amplitude spectra show additional peaks, which can be associated with the presence of the second crack. Given similar sizes between these two cracks, the characteristic resonance frequency observed at the free surface corresponds mainly to the equivalent layer formed by the shallowest crack and the free surface. However, when the deepest crack becomes sufficiently large with respect to the shallow crack, two resonance characteristic frequency peaks appear in the measured spectra at the free surface. Some examples including a three crack system are also illustrated in our work. The identification and characterization of the seismic response for the scattered field generated by the second and third crack has been an intricate task and, the time domain interpretation of traces becomes quite complicated. The results in this paper have been validated against some other reported from classic papers. In order to show the seismic response and multiple scattering effects due to the presence of systems of cracks, calculations in frequency and time domain are provided.",
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ávila-Carrera, R, Rodríguez-Castellanos, A, Valle-Molina, C, Sánchez-Sesma, FJ, Luzón, F & González-Flores, E 2016, 'Numerical simulation of multiple scattering of P and SV waves caused by near-surface parallel cracks', Geofisica Internacional, pp. 275-291. https://doi.org/10.19155/geoint.2016.055.4.5

Numerical simulation of multiple scattering of P and SV waves caused by near-surface parallel cracks. / ávila-Carrera, Rafael; Rodríguez-Castellanos, Alejandro; Valle-Molina, Celestino; Sánchez-Sesma, Francisco José; Luzón, Francisco; González-Flores, Ernesto.

In: Geofisica Internacional, 01.01.2016, p. 275-291.

Research output: Contribution to journalArticleResearchpeer-review

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T1 - Numerical simulation of multiple scattering of P and SV waves caused by near-surface parallel cracks

AU - ávila-Carrera, Rafael

AU - Rodríguez-Castellanos, Alejandro

AU - Valle-Molina, Celestino

AU - Sánchez-Sesma, Francisco José

AU - Luzón, Francisco

AU - González-Flores, Ernesto

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N2 - © Geofísica Internacional, Unidad Editorial, Instituo de Geofísica - UNAM 2016. Scattering and diffraction of P and SV waves caused by parallel oriented cracks located near to a free surface are investigated in this work. The Indirect Boundary Element Method (IBEM) was applied for studying the wave propagation phenomena in a half-plane model that contain the cracks. Various incidence angles of P and SV waves are considered. Sometime before it has been reported that a near free-surface crack generates scattered surface waves whose amplitude spectra show conspicuous resonance peaks. Such effect has been attributed to local resonances originated in a virtual layer between the shallowest crack and the free surface. For our case of two parallel crack system, where cracks are located at different depths, the amplitude spectra show additional peaks, which can be associated with the presence of the second crack. Given similar sizes between these two cracks, the characteristic resonance frequency observed at the free surface corresponds mainly to the equivalent layer formed by the shallowest crack and the free surface. However, when the deepest crack becomes sufficiently large with respect to the shallow crack, two resonance characteristic frequency peaks appear in the measured spectra at the free surface. Some examples including a three crack system are also illustrated in our work. The identification and characterization of the seismic response for the scattered field generated by the second and third crack has been an intricate task and, the time domain interpretation of traces becomes quite complicated. The results in this paper have been validated against some other reported from classic papers. In order to show the seismic response and multiple scattering effects due to the presence of systems of cracks, calculations in frequency and time domain are provided.

AB - © Geofísica Internacional, Unidad Editorial, Instituo de Geofísica - UNAM 2016. Scattering and diffraction of P and SV waves caused by parallel oriented cracks located near to a free surface are investigated in this work. The Indirect Boundary Element Method (IBEM) was applied for studying the wave propagation phenomena in a half-plane model that contain the cracks. Various incidence angles of P and SV waves are considered. Sometime before it has been reported that a near free-surface crack generates scattered surface waves whose amplitude spectra show conspicuous resonance peaks. Such effect has been attributed to local resonances originated in a virtual layer between the shallowest crack and the free surface. For our case of two parallel crack system, where cracks are located at different depths, the amplitude spectra show additional peaks, which can be associated with the presence of the second crack. Given similar sizes between these two cracks, the characteristic resonance frequency observed at the free surface corresponds mainly to the equivalent layer formed by the shallowest crack and the free surface. However, when the deepest crack becomes sufficiently large with respect to the shallow crack, two resonance characteristic frequency peaks appear in the measured spectra at the free surface. Some examples including a three crack system are also illustrated in our work. The identification and characterization of the seismic response for the scattered field generated by the second and third crack has been an intricate task and, the time domain interpretation of traces becomes quite complicated. The results in this paper have been validated against some other reported from classic papers. In order to show the seismic response and multiple scattering effects due to the presence of systems of cracks, calculations in frequency and time domain are provided.

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