The Rytov approximation, which expresses phase residuals as an explicit function of the slowness perturbations, is also a Generalized Radon Transform (GRT). Using Beylkin's formalism, we deriv e the corresponding inverse GRT to give the slo wness model as an explicit function of the phase residuals. This expression is used to deduce the resolution limits of traveltime tomograms as a function of source frequency and source-receiver geometry. Its validity is restricted to arbitrary models with smooth variations in v elocity, where thealocity variations must be at least 3 times longer than the characteristic source wavelength. The formula sho ws that the sliwness resolution limits of an anomaly can be computed by estimating the intersection area of the wavepaths that visit it. Using this procedure, resolution limits are obtained for several types of traveltime data: controlled source data in a crosswall experiment, data from a refraction experiment, and earthquak e data using the Preliminary Reference Earth Model (PREM).
|Original language||English (US)|
|State||Published - Jan 1 2000|
|Event||2000 Society of Exploration Geophysicists Annual Meeting, SEG 2000 - Calgary, Canada|
Duration: Aug 6 2000 → Aug 11 2000
|Conference||2000 Society of Exploration Geophysicists Annual Meeting, SEG 2000|
|Period||08/6/00 → 08/11/00|
ASJC Scopus subject areas