Gradient Calculation of the Traveltime Cost
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Short Note Traveltime computation with the linearized eikonal equation
Traveltime computation is an important part of seismic imaging algorithms. Conventional implementations of Kirchhoff migration require precomputing traveltime tables or include traveltime calculation in the innermost computational loop . The cost of traveltime computations is especially noticeable in the case of 3-D prestack imaging where the input data size increases the level of nesting in co...
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Traveltime computation is an important part of seismic imaging algorithms. Conventional implementations of Kirchhoff migration require precomputing traveltime tables or include traveltime calculation in the innermost computational loop . The cost of traveltime computations is especially noticeable in the case of 3-D prestack imaging where the input data size increases the level of nesting in co...
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The amplitude computation requires an accurate approximation for the traveltime gradient and Laplacian. Since it is hard to compute the traveltimes with a secondor higher-order accuracy in realistic media, the di erence approximations of the traveltime derivatives may not be suitable for accurate amplitudes unless special cares are taken. This article is concerned with a concurrent simulation o...
متن کاملRegular grids travel time calculation – a practical Huygens wavefront expansion approach
We present a practical regular grid wave traveltime calculation that is based on Huygens wavefront expansion and grid traveltime mapping. Wavefront expansion is carried out by finite difference approximations to the equations that are equivalent to the Eikonal equation with a fixed time interval. Mapping traveltime from wavefront to regular grids is based on a dynamic ray tracing paraxial appro...
متن کاملFinite-difference quasi-P traveltimes for anisotropic media
The first-arrival quasi-P wave traveltime field in an anisotropic elastic solid solves a first-order nonlinear partial differential equation, the q P eikonal equation. The difficulty in solving this eikonal equation by a finitedifference method is that for anisotropic media the ray (group) velocity direction is not the same as the direction of the traveltime gradient, so that the traveltime gra...
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تاریخ انتشار 1994