Click on the thumbnail on the left to see the results of a new wave propagation finite-difference modelling algorithm for Tilted Transversally Isotropic (TTI) media. The method rivals the performance of isotropic finite-difference modelling methods while almost completely removing the shear artifact arising due to the conversion of Tsvankin's formula into a two-equation hyperbolic system. The presented results include applications when the model is homogeneous, smooth heterogeneous and heterogeneous with arbitrary sharp contrasts.

Click on the thumbnail on the left to view the results of a computationally efficient migration code applied to the latest BP TTI synthetic.

A technique is proposed for generating optimised curves describing the dependence of the pressure wave velocity on propagation angle. Click on the thumbnail on the left to view sample results - our generated curve is blue, the exact Tsankin's curve (nearly covered by the blue curve) is light red, Bill Harlan's analytic formula is in magenta and the weak anisotropy approximation in green. The result can be used for highly efficient kinematically-accurate artifact-free wave propagation modelling in tilted transversally isotropic media.

Click on the thumbnail to view sample IR of the 3-dimensional 7x7 explicit extrapolation operator for a tilted transversally isotropic medium, comparing the results of a phaseshift extrapolator with those of the finite difference extrapolator in an animation.

Click on the thumbnail to view the spectrum of a computationally efficient narrow-aperture (7x7 pts) 3-dimensional explicit extrapolation operator (and the corresponding phaseshift) for a tilted transversally isotropic medium with Thomsen parameters eps=.45, delta=.2 and tilted symmetry axis defined by angles psi=30deg (rotation in the x,y plane) and phi=60deg (angle from vertical), suitable for max dip of up to 60deg.