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Bulletin of the Seismological Society of America; February 1977; v. 67; no. 1; p. 33-42
© 1977 Seismological Society of America
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Intensities and travel times of seismic rays in a sphere with a linear velocity function

MARK E. ODEGARD and GERARD J. FRYER

HAWAII INSTITUTE OF GEOPHYSICS UNIVERSITY OF HAWAII, HONOLULU, HAWAII 96822

Abstract

Equations are presented which permit the calculation of distances, travel times and intensity ratios of seismic rays propagating through a spherical body with concentric layers having velocities which vary linearly with radius. In addition, a method is described which removes the infinite singularities in amplitude generated by second-order discontinuities in the velocity profile. Numerical calculations involving a reasonable upper mantle model show that the standard deviations of the errors for distance, travel time and intensity ratio are 0.0046°, 0.057 sec, and 0.04 dB, respectively. Computation time is short.






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