1990
DOI: 10.1111/j.1365-246x.1990.tb00530.x
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Smoothness criteria in surface wave tomography

Abstract: We discuss and develop further the methods of surface wave tomography in the frame of the geometric ray approximation. The general approach for determining the lateral phase or group velocity distribution, which is a standard 2-D tomography problem, involves linearization, representation of the unknown function as a series in some basis functions, and evaluation of the coefficients by the methods of linear algebra. If the wave paths cover the area under investigation non-uniformly, the basis functions should n… Show more

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Cited by 160 publications
(108 citation statements)
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“…To construct the group velocity tomographic maps, we have applied a generalized 2D-linear inversion program developed by Ditmar and Yanovskaya (1987) and Yanovskaya and Ditmar (1990). The method of Yanovskaya and Ditmar is a generalization to two dimensions of the classical one-dimensional method of Backus and Gilbert (1968).…”
Section: Tomographic Methodsmentioning
confidence: 99%
“…To construct the group velocity tomographic maps, we have applied a generalized 2D-linear inversion program developed by Ditmar and Yanovskaya (1987) and Yanovskaya and Ditmar (1990). The method of Yanovskaya and Ditmar is a generalization to two dimensions of the classical one-dimensional method of Backus and Gilbert (1968).…”
Section: Tomographic Methodsmentioning
confidence: 99%
“…Our data processing method is based on that discussed by Bensen et al (2007); Yang et al (2007); Ditmar and Yanovskaya (1987) and Yanovskaya and Ditmar (1990). It consists of three main steps: 1) calculation of the Green's function from seismic noise; 2) determination of the Rayleigh wave fundamental mode group velocity dispersion curves; 3) 2D group velocity tomography.…”
Section: Data Processingmentioning
confidence: 99%
“…3). Group velocity tomography for each period was carried out using the DitmarYanovskaya method (Ditmar and Yanovskaya, 1987;Yanovskaya and Ditmar, 1990). The study region extends from 15.4 E to 23 E and from 45.0 N to 49.0 N (Fig.…”
Section: Data Processingmentioning
confidence: 99%
“…The experimental errors of these measurements for each period range from 0.06 to 0.09 km/s and are determined as the average between the differences of group velocity values for at least 5 pair of paths, where for each pair the station is the same and the distance between the epicenters is less than 0.3°. For the tomographic analysis, the methodology described in [20][21][22] is applied to the dispersion curves and a set of seven tomographic maps for periods ranging from 10 s to 40 s at intervals of 5 s are obtained (Fig.2). The lateral resolution (a) determined by the coverage of paths is about 500 km in the Central-West Caribbean, the Antilles and the south of Central America (Fig.3); the azimuthal resolution (ε) of the traces [22] indicates, in general, an adequate spatial distribution of paths for this region (Fig.…”
Section: The Methods A) Determination Of Dispersion Curves and Tomogramentioning
confidence: 99%