Abstract
A new approximation of the velocity-depth distribution in radially symmetric media is suggested. This approximation guarantees the continuity of velocity and its first and second derivatives, and does not generate false low-velocity layers. It removes false anomalies from the amplitude-distance curve and considerably increases its stability. The evaluation of ray integrals and ray amplitudes using this velocity-depth approximation does not require the computation of any transcendental function and is, therefore, very fast. Numerical examples are presented.
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V. Červený: A New Approximation of the Velocity-depth Distribution and Its Application to the Computation of Seismic Wave Fields. Studia geoph. et geod., 24 (1980), 17.
V. Pretlová: Aproximace jednorozměrné funkce vyhlazenými kubickými spliny. Podprogramy SPLINE a SPLINR. Výzk. zpr. č. 14, MFF UK, Praha 1975 (not published).
V. F. Cormier: The Synthesis of Complete Seismograms in an Earth Model Specified by Radially Inhomogeneous Layers. Bull. Seism. Soc. Am., 70 (1980), 691.
K. E. Bullen, R. A. W. Haddon: Earth Models Based on Compressibility Theory. Phys. Earth Planet. Interiors, 1 (1967), 1.
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Janský, J., Červený, V. Computation of Ray Integrals and Ray Amplitudes in Radially Symmetric Media. Studia Geophysica et Geodaetica 46 (Suppl 1), 37–41 (2002). https://doi.org/10.1023/A:1024897627359
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DOI: https://doi.org/10.1023/A:1024897627359