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[2013-04-29]


[2013-04-29]

Efficient Computation of Functional Determinants

Functional determinants arise naturally in normalization of functional integrals. When efficient numeric or analytic methods for computing functional determinants are available, functional integration (i.e. Feynman path integral) may offer a computationally viable alternative to perturbative and asymptotic methods.

The referenced paper reviews methods for the efficient computation of functional determinants for 1D and radially-symmetric (Dunne, 2008) potentials, and discusses extension for arbitrary operators....display full article text


http://arxiv.org/abs/1304.0042


[2011-06-02]


[2011-06-02]

Efficient One-way Wave-equation Migration in Tilted Transvesally Isotropic Medium

Check out this extended abstract under the Technology section (click on the thumbnail on the left)



[2011-01-30]


[2011-01-30]

Fast FD Wave Propagation Modelling in Anisotropic Media

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.



[2010-07-12]


[2010-07-12]

Fast TTI Migration

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



[2010-04-15]


[2010-04-15]

Optimised TTI pressure velocity curves

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.



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