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oa Universal Algorithmic System for Geophysical Objects Appoximation Based on Fourier-Splines
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, Geomodel 2017, Sep 2017, Volume 2017, p.1 - 6
Abstract
The universal algorithm of geophysical maps with faults synthesis for seismic objects is developed. The new method concludes the approximation of both regular and non-regular data with the new finite functions class called “Fourier-splines” having great advantages versus well-known approaches particularly cubical B-splines.
The innovation of the new solution is 3D {xyz} Fourier-splines arrays synthesis on the parametrical 2D {uv} grid aligned along the profiles grid. The fault surfaces may be built additionally on the corresponding local parts of profiles similarly to isolines in automatic mode.
The numerical algorithm is optimized with utilization of more efficient version of square-root method of linear systems resolution and implementation on the base of parallel processing technique NVIDIA CUDA. As a result we have unified multi-dimensional method of different objects synthesis in the best splines from the arbitrary non-regular data.
The new advanced solution has the next advantageous features versus the known ones:
- the unified approach to maps and faults synthesis providing arbitrary complex 3D models including maps of z-horizon type (with local negative trends);
- adapting the parametrical grid to profile grid providing to the most precise approximation;
- the absence of edge contouring (masking), softened map edges are formed intrinsically.