zyxwv zyxwvuts Geophysical Prospecting 41,495-513, 1993 PARABOLIC A N D HYPERBOLIC PARAXIAL T W O - P O I N T T R A V E L T I M E S IN 3D M E D I A ' J. SCHLEICHER.2 M . TYGEL3 and P. HUBRAL2 SCHLEICHER, zyxwvut ABSTRACT J., TYGEL,M. and HUBRAL,P. 1993....
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zyxwv zyxwvuts Geophysical Prospecting 41,495-513, 1993 PARABOLIC A N D HYPERBOLIC PARAXIAL T W O - P O I N T T R A V E L T I M E S IN 3D M E D I A ' J. SCHLEICHER.2 M . TYGEL3 and P. HUBRAL2 SCHLEICHER, zyxwvut ABSTRACT J., TYGEL,M. and HUBRAL,P. 1993. Parabolic and hyperbolic paraxial two- point traveltimes in 3D media. Geophysical Prospecting 41,495-513. The 4 x 4 T-propagator matrix of a 3D Central ray determines, among other important seismic quantities, second-order (parabolic or hyperbolic) two-point traveltime approx- imations of certain paraxial rays in the vicinity of the known Central ray through a 3D medium consisting of inhomogeneous isotropic velocity layers. These rays result from per- turbing the start and endpoints of the Central ray on smoothly curved anterior and posterior surfaces. The perturbation of each ray endpoint is described only by a two-component vector. Here, we provide parabolic and hyperbolic paraxial two-point traveltime approximations using the T-propa
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