Phase-space computation of multi-arrival traveltimes, Part I: Theory and concepts

Content Provider	Semantic Scholar
Author	Bashkardin, Vladimir Browaeys, Thomas J. Fomel, Sergey Gao, Feng Kazinnik, Roman Morton, Scott A. Terentyev, Sergey Vladimirsky, Alexander Williamson, Paul
Copyright Year	2012
Abstract	In complicated geologic environments with multipathing in traveltime fields, Kirchhoff migration can improve imaging results, if the integration is performed in the angle domain. Angle-domain migration operates on a traveltime table expressed as a function of image points and subsurface angles. For the necessary function to be computed, ray tracing can simply be performed from subsurface locations using different initial take-off angles. Unfortunately, the computational cost of such a bottom-up approach may be prohibitive. However, initial-value ray tracing can be reformulated as escape equations in phase space, which allow for a grid-based solution at a possibly lower cost. In this paper, we derive escape equations for general 2-D and 3-D anisotropic media, derive the reduced phase-space formulation of escape equations, introduce a stable upwind finite-difference discretization, and suggest the use of a hybrid Eulerian-Lagrangian approach for a practical and accurate numerical solution.
Starting Page	1
Ending Page	6
Page Count	6
File Format	PDF HTM / HTML
DOI	10.1190/segam2012-1522.1
Alternate Webpage(s)	http://www.math.cornell.edu/~vlad/papers/segam2012_multi_1.pdf
Alternate Webpage(s)	https://doi.org/10.1190/segam2012-1522.1
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article