Correlation function of a self-affine random medium

Ludek Klimes

Summary

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.

Keywords

Travel times, self-affine random medium, correlation function, scaling geology, fractal geology.

Whole paper

The paper is available in PDF (496 kB).

Revised version

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.

Final version

Klimes, L. (2002): Estimating the correlation function of a self-affine random medium. Pure and appl. Geophys., 159, 1833-1853.


In: Seismic Waves in Complex 3-D Structures, Report 4, pp. 25-38, Dep. Geophys., Charles Univ., Prague 1996.
SW3D - main page of consortium Seismic Waves in Complex 3-D Structures .