Click on the thumbnail to view the results of an IR modelling in a tilted transversally isotropic 3-dimensional medium with Thomsen parameters eps=.45, delta=.2 and tilted symmetry axis defined by angles psi (rotation in the x,y plane) and phi (angle from vertical). The animation shows planar cross sections of the 3D wave for different combinations of values for psi and phi. The proposed algorithm leads to computationally efficient 3D modelling and migration algorithms that are free form shear wave artifacts.

Click on the thumbnail to view the result of IR migration for a strongly anisotropic medium using a new explicit narrow-aperture extrapolation operator. I propose a mathematical technique for building mixed explicit/implicit wavefield extrapolators for strongly anisotropic media that can successfully handle both lateral variation of the anisotropic parameters and steep dips using computationally efficient finite difference equations.

Click on the thumbnail in the left pane to see a snapshot of time-domain wave modelling that demonstrates my latest optimised ABC (the right boundary) in comparison with Reynolds-Higdon ABC (top).

I have extended the concept of localised optimisation previously used in the localised image-difference wave-equation tomography (see the Technology section) to apply to the wave-equation migration velocity analysis. Click on the thumbnail to get a larger picture of the Marmousi velocity model reconstructed from pres-stack synthetic data using the proposed technique.

Click on the thumbnail in the left pane to see animated snapshots of sample output from my time-domain wave equation modelling programme that implements my latest absorbing boundary conditions technique. The proposed technique allows for a computationally efficient numeric solution of Cauchy problems, and in terms of computational complexity it rivals existing techniques such as Perfectly Matched Layers. The method can have a broad range of applications to modelling wave phenomena in Physics and Engineering.