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Using transfer function for estimating dissipative properties of soils from surface‐wave data
- Source: Near Surface Geophysics, Volume 2, Issue 4, Dec 2004, p. 231 - 240
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- 01 Jan 2004
- 01 Aug 2004
- 01 Aug 2004
Abstract
The quality factor (or damping ratio) can be estimated by analysing the spatial attenuation of surface‐wave data. However, because of the link between geometrical and material dispersion, a coupled analysis of dispersion and attenuation curves is preferable. Using a transfer‐function approach, it is possible to estimate the dispersion and attenuation curves simultaneously, provided the seismic source is known. A formulation based on the deconvolution of seismic traces is used to extend the transfer‐function approach to ordinary seismic gathers in which the source wavelet is not known. The measured transfer function is used in a regression analysis to obtain estimates of the complex wavenumbers, which, in the framework of viscoelasticity, contain all the information relating to phase velocity and attenuation of surface waves for a layered medium. Application of this procedure to experimental data leads to results consistent with those obtained using conventional techniques (e.g. analysis and amplitude regression).