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A test of the Great Circle Approximation in the analysis of surface waves
Author(s) -
Alsina Dolors,
Snieder Roel,
Maupin Valerie
Publication year - 1993
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/93gl00774
Subject(s) - great circle , rayleigh wave , phase velocity , surface wave , phase (matter) , dispersion (optics) , geology , lithosphere , geodesy , love wave , wave propagation , range (aeronautics) , wavefront , physics , optics , geometry , seismology , longitudinal wave , mechanical wave , mathematics , materials science , quantum mechanics , composite material , tectonics
A new way of reconstructing wave fronts is developed for testing the validity of the great circle approximation in dispersion analysis of surface waves. Phase and time delays between pairs of stations of an array are used to reconstruct the wave fronts or surfaces of equal phase. This technique is applied to fundamental mode Rayleigh waves recorded at the NARS stations during the ILIHA (Iberian Lithosphere Heterogeneity and Anisotropy) project. The resulting wave fronts are compared with the theoretical ones, i.e. calculated assuming that the waves have traveled along the great circle path with a constant phase velocity, and the angle between both fronts is calculated. Waves traveling mostly through a laterally homogeneous oceanic path before arriving to the Iberian Peninsula are analyzed for the frequency range of 10 to 60 mHz. These show angles up to 8 degrees between the theoretical wave fronts and the wave fronts reconstructed using the delay data. This implies that we make a relative error less than 1% when calculating path‐averaged phase velocities ignoring the deviation of the arrival of the wave from the great circle direction.