caa a22 4500 477046932 CHVBK 20180405111332.0 cr unu---uuuuu 170330e19960901xx s 000 0 eng 10.1007/BF00874578 doi (NATIONALLICENCE)springer-10.1007/BF00874578 Klimeš Luděk Department of Geophysics, Charles University, Ke Karlovu 3, 121 16, Praha 2, Czech Republic aut Grid travel-time tracing: Second-order method for the first arrivals in smooth media [Elektronische Daten] [Luděk Klimeš] A new computational scheme for calculating the first-arrival travel times on a rectangular grid of points is proposed. The new proposed method is of second-order accuracy. This means that the error of the calculated travel time is proportional to the second power of the grid spacing. The method should be sufficiently accurate for all applications in smooth seismic models. On the other hand, the method is not, in its present form, proposed for models with structural interfaces which make the method unstable and generate travel-time errors of the first order. Equations are also presented for the appropriate evaluation of the errors of calculated travel times to check their accuracy, and the proposed method is compared with other numerical methods. The method is developed, described and demonstrated in 2-D, but may also be extended to 3-D models and to general models with structural interfaces. Birkhäuser Verlag, 1996 Seismic waves nationallicence first-arrival travel times nationallicence slowness vectors nationallicence ray tracing nationallicence accuracy nationallicence pure and applied geophysics Birkhäuser-Verlag 148/3-4(1996-09-01), 539-563 0033-4553 148:3-4<539 1996 148 24 https://doi.org/10.1007/BF00874578 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00874578 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Klimeš Luděk Department of Geophysics, Charles University, Ke Karlovu 3, 121 16, Praha 2, Czech Republic aut NATIONALLICENCE 773 0- pure and applied geophysics Birkhäuser-Verlag 148/3-4(1996-09-01), 539-563 0033-4553 148:3-4<539 1996 148 24 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer