NDLI: An Improved Formula of Fundamental Resonance Frequency of a Layered Half-Space Model Used in H/V Ratio Technique

Content Provider	Springer Nature Link
Author	Tuan, Tran Thanh Vinh, Pham Chi Ohrnberger, Matthias Malischewsky, Peter Aoudia, Abdelkrim
Copyright Year	2016
Abstract	The resonance frequency of the transmission response in layered half-space model is important in the study of site effect because it is the frequency where the shake-ability of the ground is enhanced significantly. In practice, it is often determined by the H/V ratio technique in which the peak frequency of recorded H/V spectral ratio is interpreted as the resonance frequency. Despite of its importance, there has not been any formula of the resonance frequency of the layered half-space structure. In this paper, a simple approximate formula of the fundamental resonance frequency is presented after an exact formula in explicit form of the response function of vertically SH incident wave is obtained. The formula is in similar form with the one used in H/V ratio technique but it reflects several major effects of the model to the resonance frequency such as the arrangement of layers, the impedance contrast between layers and the half-space. Therefore, it could be considered as an improved formula used in H/V ratio technique. The formula also reflects the consistency between two approaches of the H/V ratio technique based on SH body waves or Rayleigh surface waves on the peak frequency under high impedance contrast condition. This formula is in explicit form and, therefore, may be used in the direct and inverse problem efficiently. A numerical illustration of the improved formula for an actual layered half-space model already investigated by H/V ratio technique is presented to demonstrate its new features and its improvement to the currently used formula.
Starting Page	2803
Ending Page	2812
Page Count	10
File Format	PDF
ISSN	00334553
Journal	Pure and applied geophysics
Volume Number	173
Issue Number	8
e-ISSN	14209136
Language	English
Publisher	Springer International Publishing
Publisher Date	2016-05-18
Publisher Place	Cham
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Response function H/V ratio technique Orthotropy SH waves Quarter-wavelength principle Geophysics/Geodesy
Content Type	Text
Resource Type	Article
Subject	Geochemistry and Petrology Geophysics

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