Revista Brasileira de Cartografia (Dec 2005)
Application of Rudoe’s Formula in Long Seismic Surface Wave Paths Determination
Abstract
An algorithm to compute accurate distances over grid cells crossed by seismic surface wave paths by Rudoe’s formula is proposed. The intersection coordinates between paths and the geodetic grid are also computed, which data are exhibited in an azimuthal equidistant projection to check the results. GRS-80 is the adopted ellipsoidal Earth model. The algorithm computes the intermediate intersections, from both forward and reciprocal normal sections given by Rudoe’s method, which separation may be greater than the cell size. It was tested on a data set including 3,269 source-station paths, which seismic events were recorded at 23 IRIS stations. The epicentral distances range from 1,634 km to 16,400 km, which the grid spreads over 149°E x 21°W, and 50°N x 90°S. The results show that the estimated intersections accuracy depends on the path azimuth and latitude, which influence may be significative for very long distances as in teleseismic applications, which argues for the algorithm application.
