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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2009, Volume 12, Number 3, Pages 325–339
(Mi sjvm20)
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This article is cited in 2 scientific papers (total in 2 papers)
Calculation formulas of linear geometrical spreading at ray tracing in a 3D block-inhomogeneous gradient medium
V. A. Tsetsocho, A. V. Belonosovaa, A. S. Belonosova a Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
Abstract:
In this paper, recurrent formulas, suitable for direct programming, to calculate a linear geometrical spreading of the central field of seismic rays in a 3D block-gradient medium needed for organizing shooting to area
observation systems have been obtained.
For recalculation formulas through the interface, a new representation using a special operator of nonorthogonal projection allowing an additive separation of terms depending only on the ray curvature, the
boundary curvature, and the variable character of the velocities ratio along the boundary, has been found.
Formulas for partial derivatives of the eikonal via linear and angular geometrical spreading are presented.
Key words:
ray method, geometrical spreading, ray tracing, 3D shooting.
Received: 26.12.2008
Citation:
V. A. Tsetsocho, A. V. Belonosova, A. S. Belonosov, “Calculation formulas of linear geometrical spreading at ray tracing in a 3D block-inhomogeneous gradient medium”, Sib. Zh. Vychisl. Mat., 12:3 (2009), 325–339; Num. Anal. Appl., 2:3 (2009), 260–271
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https://www.mathnet.ru/eng/sjvm20 https://www.mathnet.ru/eng/sjvm/v12/i3/p325
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Abstract page: | 478 | Full-text PDF : | 132 | References: | 27 | First page: | 5 |
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