Self-affine random medium is assumed to be realized in terms of a white noise filtered by the power-law spectral filter of amplitude proportional to a reasonable power of the wavenumber. The power-law medium correlation function is then derived. Travel-time variances are thus proportional to a power of ray lengths. A method designed to estimate the medium correlation function using field travel-times is proposed.
Travel times, self-affine random medium, correlation function, scaling geology, fractal geology.
The image of the paper in GIF 150dpi (524 kB) is designed for an instant screen preview.
The paper is available in PostScript (1231 kB !, colour figures) and GZIPped PostScript (266 kB, colour figures).
Klimes, L.: Estimating the correlation function of a self-affine random medium. In: Seismic Waves in Complex 3-D Structures, Report 11, pp. 111-131, Dep. Geophys., Charles Univ., Prague, 2001 [to appear in Pure and Applied Geophysics, 159 (2002)].
SW3D
- main page of consortium Seismic Waves in Complex 3-D Structures .