Fomel S. B-splines provide an accurate and efficient method for interpolating regularly spaced data. In this paper, I study the applicability of B-spline interpolation in the context of the inverse interpolation method for regularizing irregular data. In addition, they provide a constructive method for creating discrete regularization operators from continuous differential equations. In recent reports I introduced the concept of a steering filter Clapp et al. I apply steering filter regularized tau tomography on a 3-D North Sea Dataset.
Early results show promise.
I use the Born approximation to derive general expressions for the wave-equation migration velocity analysis operator, and show two simple backprojection examples built around a North Sea dataset. We illustrated the concepts with an example of multi-dimensional multiple prediction. This paper studies the effects of fluid type in pore space for a channel sand in the Stanford V dataset. The model used was created by interpolation of 3D well data using ordinary kriging. V p , V s , density, and porosity were all kriged into 3D volumes, and then a slice was extracted, which contained a sand body surrounded by a shale.