Scattering and diffraction of elastic P- and S-waves by a spherical obstacle: A review of the classical solution
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| Format: | Artículo científico |
| Language: | en |
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Universidad Nacional Autónoma de México
2006
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| _version_ | 1876432160580173824 |
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| author | R. Ávila-Carrera |
| author_facet | R. Ávila-Carrera |
| contents | Scattering and diffraction of elastic P- and S-waves by a spherical obstacle: A review of the classical solution R. Ávila-Carrera F. J. Sánchez-Sesma Ciencias de la Tierra Scattering diffraction elastic waves seismic response spherical obstacle We re-derive the solution for scattering and diffraction of elastic waves by a single spherical obstacle. A complete catalogfor the coefficients in the series´ expansions of scattered waves is presented. The classical solution is a superposition of incidentand diffracted fields. Plane P- or S-waves are assumed. They are expressed as expansions of spherical wave functions which aretested against exact results. The diffracted field is calculated from the analytical enforcing of boundary conditions at the scatterermatrixinterface. The spherical obstacle is a cavity, an elastic inclusion or a fluid-filled zone. A complete set of wave functionsis given in terms of spherical Bessel and Hankel radial functions. Legendre and trigonometric functions are used for the angularcoordinates. Results are shown in time and frequency domains. Diffracted displacement amplitudes versus normalized frequencyand radiation patterns at low, intermediate and high frequencies are reported. Synthetic seismograms for some relevant casesare computed. 2006 artículo científico 0016-7169 https://www.redalyc.org/articulo.oa?id=56845101 en http://www.redalyc.org/revista.oa?id=568 Geofísica Internacional application/pdf Universidad Nacional Autónoma de México Geofísica Internacional (México) Num.1 Vol.45 |
| format | Artículo científico |
| id | redalyc_56845101 |
| institution | Redalyc |
| language | en |
| publishDate | 2006 |
| publisher | Universidad Nacional Autónoma de México |
| spellingShingle | Scattering and diffraction of elastic P- and S-waves by a spherical obstacle: A review of the classical solution R. Ávila-Carrera Ciencias de la Tierra Scattering diffraction elastic waves seismic response spherical obstacle Scattering and diffraction of elastic P- and S-waves by a spherical obstacle: A review of the classical solution R. Ávila-Carrera F. J. Sánchez-Sesma Ciencias de la Tierra Scattering diffraction elastic waves seismic response spherical obstacle We re-derive the solution for scattering and diffraction of elastic waves by a single spherical obstacle. A complete catalogfor the coefficients in the series´ expansions of scattered waves is presented. The classical solution is a superposition of incidentand diffracted fields. Plane P- or S-waves are assumed. They are expressed as expansions of spherical wave functions which aretested against exact results. The diffracted field is calculated from the analytical enforcing of boundary conditions at the scatterermatrixinterface. The spherical obstacle is a cavity, an elastic inclusion or a fluid-filled zone. A complete set of wave functionsis given in terms of spherical Bessel and Hankel radial functions. Legendre and trigonometric functions are used for the angularcoordinates. Results are shown in time and frequency domains. Diffracted displacement amplitudes versus normalized frequencyand radiation patterns at low, intermediate and high frequencies are reported. Synthetic seismograms for some relevant casesare computed. 2006 artículo científico 0016-7169 https://www.redalyc.org/articulo.oa?id=56845101 en http://www.redalyc.org/revista.oa?id=568 Geofísica Internacional application/pdf Universidad Nacional Autónoma de México Geofísica Internacional (México) Num.1 Vol.45 |
| title | Scattering and diffraction of elastic P- and S-waves by a spherical obstacle: A review of the classical solution |
| topic | Ciencias de la Tierra Scattering diffraction elastic waves seismic response spherical obstacle |
| url | https://www.redalyc.org/articulo.oa?id=56845101 |