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Application of ray methods to one-dimensional site response of inhomogeneous soil deposits

Garcia-Suarez, Joaquin and Seylabi, Elnaz and Asimaki, Domniki (2022) Application of ray methods to one-dimensional site response of inhomogeneous soil deposits. Géotechnique . ISSN 0016-8505. doi:10.1680/jgeot.21.00164. (In Press)

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The technique referred as ray approximation treats wave propagation in a heterogeneous medium at the infinitely small wavelength limit. This classic simplification allows useful approximate analytical results to be obtained in cases where complete description of the waveform behaviour is virtually unattainable, hence its wide use in physics. In seismology, this approximation has been widely applied. This paper presents an application in one-dimensional site response (1DSR) analysis: it is used herein, first to explain and elucidate the generality of some previous observations as to the use of the harmonic mean of a shear-wave velocity profile to represent the global behaviour of a site; and second to partially settle an open question in 1DSR, namely ‘What are the equivalent homogeneous properties that yield the same response, in terms of natural frequencies and resonance amplitude, for a given inhomogeneous site?’, providing a few assumptions are met – chiefly, that excitations of sufficiently high frequency are considered.

Item Type:Article
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URLURL TypeDescription
Garcia-Suarez, Joaquin0000-0001-8830-4348
Seylabi, Elnaz0000-0003-0718-372X
Asimaki, Domniki0000-0002-3008-8088
Additional Information:The authors are thankful to Professor Michael Ortiz (Caltech) for his input regarding connections to geometrical optics theory in general. A portion of this work was developed during the doctoral studies of the first author, which were sponsored partially by a Talentia scholarship of the regional government of Andalusia (Spain), and by the Tyson Graduate Fellowship, gifted by the Tyson family.
Funding AgencyGrant Number
Talentia ScholarshipUNSPECIFIED
Tyson Graduate FellowshipUNSPECIFIED
Record Number:CaltechAUTHORS:20220823-628154700
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:116424
Deposited By: Melissa Ray
Deposited On:30 Aug 2022 01:16
Last Modified:30 Aug 2022 01:16

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