Robust, efficient three-dimensional finite-difference traveltime

Details Robust, efficient three-dimensional finite-difference traveltime Robust, efficient three-dimensional finite-difference traveltime

1994-04-11

1995-02-28

Weinhardt, Robert A.

Boots, shoes, and leggings

G06F 1520

Patent

active

053943252

ABSTRACT:
Presented is a process for use in the area of geophysical data processing, for computing a three dimensional grid of traveltimes from a three dimensional grid of velocities. The process involves a finite-difference solution to the eikonal equation in spherical coordinates, with refinements which increase the stability of the calculation and cope with numerical roundoff error as well as turned ray problems. The resulting three dimensional grid is not only useful in itself in providing information regarding the subsurface, but also can be used in depth migration, velocity analysis (especially three dimensional tomography) and in raytracing (leading to modeling of synthetic seismograms, three dimensional traveltime inversion, and map migration). This method is preferably executed on a computer, and can be performed either on a mainframe or on a massively parallel processor.

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