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Bulletin of the Seismological Society of America; February 2008; v. 98; no. 1; p. 280-287; DOI: 10.1785/0120070057
© 2008 Seismological Society of America
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Improvements on Computation of Phase Velocities of Rayleigh Waves Based on the Generalized R/T Coefficient Method

Donghong Pei and John N. Louie

Nevada Seismological Laboratory, University of Nevada, Reno, MS 174, Reno, Nevada 89557 donghong{at}seismo.unr.edu

Satish K. Pullammanappallil

Optim Inc., 1664 N. Virginia St., UNR-MS 174, Reno, Nevada 89557 satish{at}optimsoftware.com

Among many improvements on phase velocity computation of Rayleigh waves in a layered Earth model, the methods based on reflection and transmission (R/T) coefficients produce stable and accurate phase velocities for both low and high frequencies and are appropriate for viscoelastic and anisotropic media. The generalized R/T coefficient methods are not the most efficient algorithms. This paper presents a new, more efficient algorithm called the fast-generalized R/T coefficient method to calculate the phase velocity of surface waves for a layered Earth model. The improvements include (1) computation of the generalized R/T coefficients without calculation of the modified R/T coefficients, and (2) presentation of an analytic solution for the inverse of the 4x4 layer matrix E. Compared with the traditional generalized R/T coefficient method, the fast-generalized R/T coefficient method, when applied on Rayleigh waves, significantly improves the speed of computation, cutting the computational time at least by half while keeping the stability and accuracy of the traditional method.




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D. Pei, J. N. Louie, and S. K. Pullammanappallil
Erratum to Improvements on Computation of Phase Velocities of Rayleigh Waves Based on the Generalized R/T Coefficient Method
Bulletin of the Seismological Society of America, August 1, 2009; 99(4): 2610 - 2611.
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