caa a22 4500 477047033 CHVBK 20180405111333.0 cr unu---uuuuu 170330e19960901xx s 000 0 eng 10.1007/BF00874579 doi (NATIONALLICENCE)springer-10.1007/BF00874579 Buske Stefan Institute of Meteorology and Geophysics, Feldbergstr. 47, D-60323, Frankfurt a.M., Germany aut Finite-difference solution of the transport equation: First results [Elektronische Daten] [Stefan Buske] The ray-theoretical transport equation for inhomogeneous isotropic media (2D-SH case) is solved by the method of finite differences on a rectangular grid, both for an incident plane wave (explicit scheme) and a line source (implicit scheme). Results for homogeneous models and for heterogeneous models with structural discontinuities are discussed. First-arrival travel times calculated by various techniques serve as input for the solution of the transport equation and the computation of amplitudes of first arrivals. To obtain correct amplitudes the travel times must be highly accurate and the discontinuities must be smoothed out; the reason is that the spatial second derivatives of the travel time field enter the transport equation. In the simple cases studied, finite differences provide a fast and efficient tool for the computation of first-arrival amplitudes. Birkhäuser Verlag, 1996 Transport equation nationallicence eikonal equation nationallicence finite-difference method nationallicence pure and applied geophysics Birkhäuser-Verlag 148/3-4(1996-09-01), 565-581 0033-4553 148:3-4<565 1996 148 24 https://doi.org/10.1007/BF00874579 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00874579 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Buske Stefan Institute of Meteorology and Geophysics, Feldbergstr. 47, D-60323, Frankfurt a.M., Germany aut NATIONALLICENCE 773 0- pure and applied geophysics Birkhäuser-Verlag 148/3-4(1996-09-01), 565-581 0033-4553 148:3-4<565 1996 148 24 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer