Traveltimes of waves in three-dimensional random media

Details Traveltimes of waves in three-dimensional random media Traveltimes of waves in three-dimensional random media

May 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003geoji.153..467b&link_type=abstract

Geophysical Journal International, Volume 153, Issue 2, pp. 467-482.

Astronomy and Astrophysics

Astronomy

25

Body Waves, Inhomogeneous Media, Ray Theory, Tomography, Traveltime, Wave Propagation

Scientific paper

We present the results of a comprehensive numerical study of 3-D acoustic wave propagation in weakly heterogeneous random media. Finite-frequency traveltimes are measured by cross-correlation of a large suite of synthetic seismograms with the analytical pulse shape representing the response of the background homogeneous medium. The resulting `ground-truth' traveltimes are systematically compared with the predictions of linearized ray theory and 3-D Born-Fréchet (banana-doughnut) kernel theory. Ray-theoretical traveltimes can deviate markedly from the measured cross-correlation traveltimes whenever the characteristic scalelength of the 3-D heterogeneity is shorter than half of the maximum Fresnel zone width along the ray path, i.e. whenever a<~ 0.5(λL)1/2, where a is the heterogeneity correlation distance, λ is the dominant wavelength of the probing wave, and L is the propagation distance. Banana-doughnut theory has a considerably larger range of validity, at least down to a~ 0.1(λL)1/2 in sufficiently weakly heterogeneous media, because it accounts explicitly for diffractive wave front healing and other finite-frequency wave propagation effects.

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