Traveltime calculation in three dimensional transversely...

Data processing: measuring – calibrating – or testing – Measurement system in a specific environment – Earth science

Reexamination Certificate

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C702S011000, C702S014000, C367S038000, C367S052000, C367S057000

Reexamination Certificate

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11537078

ABSTRACT:
A technique for calculating traveltime of a seismic wave in three dimensional tilted transversely isotropic (3D TI) media includes determining a wave vector, defining a unit vector, calculating an angle of the wave vector from an axis and performing a slowness determination, wherein a unit vector for a symmetry axis is defined as: (cos φ sin θ, sin φ sin θ, cos θ); where φ represents the azimuth of the symmetry axis measured from the x direction; and, θ represents the dip angle of the symmetry axis measured from the z direction. The technique may be practiced as a computer implemented set of instructions, and may be incorporated into measurement equipment.

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patent: 6324478 (2001-11-01), Popovici et al.
patent: 6785612 (2004-08-01), Zhang
patent: 6944094 (2005-09-01), Thomsen et al.
patent: 6967898 (2005-11-01), Leaney
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Popovici, et al. “3-D imaging using higher order fast marching traveltimes”. Geophysics. vol. 67, No. 2 (Mar.-Apr. 2002); p. 604-609.
Jiao, et al. “3-D TTI eikonal traveltime Kirchhoff migration”. SEG. Houston 2005 Annual Meeting, pp. 108-111.
Zhang, et al. “An Eikonal Solver in Tilted TI media.” SEG Int'l Exposition and 72nd Annual Meeting. Salt Lake City, Utah. Oct. 6-11, 2002. 4 pages.
Alkhalifah, Tariq. “Traveltime computation with the linerarized eikonal equation for anisotropic media” Geophysical Prospecting, 2002, 50, 373-382.

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