Seismic wave field in the vicinity of caustics and higher-order travel time derivatives.

Autor: Gol'din, Sergej Vasil'jevič, 1936-2007
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Jazyk: angličtina
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Druh dokumentu: Non-fiction
ISSN: 0039-3169
Abstrakt: Abstract: In this paper we consider time-domain asymptotic solutions to the elastodynamic equation. We briefly describe the technique of constructing and analyzing the integral formulas describing seismic wave fields. The formulas are valid at regular points and in the vicinity of caustics. The analysis is performed locally, along one ray. Near a caustic we start with the Kirchhoff-type integral representation. The incident wave and Green's tensor (their discontinuous part or time-domain asymptotic) should be known at some previous regular point of the ray. Finally, we arrive at the integral description valid in the vicinity of caustics (time-domain equivalent of the oscillatory integral). This approach requires calculating higher-order derivatives of the travel time and ray amplitude along the ray. These derivatives may be found by solving differential equations. The equations are given in explicit form and can be used for calculations in isotropic media.
Databáze: Katalog Knihovny AV ČR
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