Seismic data inversion method, device and apparatus
A technology for seismic data and inversion, applied in seismology, measurement devices, seismic signal processing, etc., can solve problems such as difficulty in implementation, and achieve the effect of improving calculation accuracy and solution stability.
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[0041] The measured seismic records can be regarded as the convolution of the reflection coefficient of the formation and the source wavelet, that is,
[0042]
[0043] In the formula, t i represents the time delay, ω represents the source wavelet, d(t) represents the seismic signal, and N(t) represents the additive noise interference.
[0044] Equation (3) can be written in the form of a matrix-vector equation:
[0045] d=WR+N (4)
[0046] In the formula, d=(d 1 , d 2 ,...,d m ) T , R=(R 1 , R 2 ,...,R n ) T , N=(N 1 , N 2 ,…N m ) T as well as
[0047]
[0048] W is an operator that projects the model space to the observation space. The solution of the linear inverse problem (Equation 4) is a key to elastic impedance inversion.
[0049] The Tikhonov regularization method is based on the Lagrange multiplier method or the idea of constructing functionals in optimization theory, by introducing smooth functionals to construct regular operators, and then so...
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