Finite difference migration method based on rational Chebyshev approximation optimizing coefficient
A technique of optimizing coefficients and finite differences, applied in seismic signal processing, etc., can solve problems such as low calculation efficiency, increased calculation amount, and low imaging accuracy of complex structures
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[0037] The main realization principles and specific implementation methods of the technical solution of the present invention will be described in detail below according to the accompanying drawings.
[0038] (1) 15° equation of optimization coefficient:
[0039] Suppose the 15° equation for the optimization coefficient is:
[0040] P(x)=a+bx 2 (12)
[0041] (12) Carrying out rational Chebyshev approximation to equation (12), the 15° equation of the optimization coefficient can be obtained:
[0042] P ( x ) = 1 - 2 3 x 2 - - - ( 13 )
[0043] Then the relative error between the 15° equation dispersion relationship of the optimization coefficient and the precise dispersion relationship is:
[0044] E ...
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