Synthesis of Rayleigh-wave envelope on the spherical Earth: Analytic solution of the single isotropic-scattering model for a circular source radiation

Details Synthesis of Rayleigh-wave envelope on the spherical Earth: Analytic solution of the single isotropic-scattering model for a circular source radiation Synthesis of Rayleigh-wave envelope on the spherical Earth: Analytic solution of the single isotropic-scattering model for a circular source radiation

Mar 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003georl..30f..19m&link_type=abstract

Geophysical Research Letters, Volume 30, Issue 6, pp. 19-1, CiteID 1286, DOI 10.1029/2002GL016629

Physics

Geophysics

1

Seismology: Surface Waves And Free Oscillations, Mathematical Geophysics: Modeling, Mathematical Geophysics: Numerical Solutions, Seismology: Lithosphere And Upper Mantle, Seismology: Theory And Modeling

Scientific paper

Surface waves propagating around the spherical Earth are scattered by medium heterogeneities and topographical variations. Wave trains appearing between the multiple arrivals of surface waves are interpreted as scattered waves. Mean-Squared (MS) envelopes of vertical-component seismograms in long periods can be explained by the single isotropic scattering process of Rayleigh waves of the fundamental mode based on the radiative transfer theory on the spherical Earth. For the case of circular radiation from a point source on the sphere, we can analytically solve the single scattering approximation of the radiative transfer equation. The resultant MS envelope is written by using an elliptic integral of the first kind.

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