Physics, mathematics, and technology

2014 Issue №4

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Semi-geodetic transformation of temporary images

Pages
135-138

Abstract

Often while seismic data processing one gets time dependent images (time cuts, time migration), in which time plays the role of the «depth» variable. If in some approximation the wave propagation velocity is known, these images can be transformed into the true ones. In this article for this purpose it is proposed to use semi-geodesic transform associated with the normal to the boundary rays. The results of simulations are presented.

Reference

1. Громол Д., Клингенберг В., Мейер В. Риманова геометрия в целом. М., 1971.
2. Won-Ki Jeong, Whitaker R. T. A Fast Iterative Method for Eikonal Equations. //SIAM Journal on Scientific Computing. 2008. Vol. 30, № 5. P. 2512—2534.
3. Computation of MULTI-VALUED TRAVELTIMES in the Marmousi model.URL: http://www.caam.rice.edu/~benamou/testproblem.html (дата обращения:18.01.2014).