Tsai, Victor C. and Atiganyanun, Sarun (2014) Green’s Functions for Surface Waves in a Generic Velocity Structure. Bulletin of the Seismological Society of America, 104 (5). pp. 2573-2578. ISSN 0037-1106. http://resolver.caltech.edu/CaltechAUTHORS:20141201-131138693
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Methodologies for calculating surface‐wave velocities and the associated displacement/stress eigenfunctions and Green’s functions have been well established for many decades. However, to our knowledge, no one has ever documented a quantitative evaluation of these properties for commonly used empirical scalings. For example, it is currently not possible to take a given power‐law dependence of shear‐wave velocity on depth and look up the corresponding dependence of phase velocity on frequency, or Green’s function surface displacement. We address this gap in the literature and here provide explicit quantitatively accurate expressions for phase velocities and Green’s function amplitudes for a few commonly used empirical formulas for near‐surface velocity structure. These exact expressions are found to be immediately useful in applications that use shallow phase velocities and also in applications that interpret seismic amplitudes or amplitude ratios from near‐surface processes such as fluvial transport, icequakes, landslides, and volcanic tremor.
|Additional Information:||© 2014 Seismological Society of America. Manuscript received 1 May 2014; Published Online 9 September 2014. The authors thank M. Haney and an anonymous reviewer for constructive comments, and the Summer Undergraduate Research Fellowship Program at Caltech and J. Edward Richter for funding S.A.|
|Official Citation:||Victor C. Tsai and Sarun Atiganyanun Green’s Functions for Surface Waves in a Generic Velocity Structure Bulletin of the Seismological Society of America, October 2014, v. 104, p. 2573-2578, First published on September 9, 2014, doi:10.1785/0120140121|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||01 Dec 2014 21:17|
|Last Modified:||23 Nov 2016 19:31|
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