Adaptive hybrid norm dictionary learning seismic wave impedance inversion method
An adaptive, seismic wave technology, applied in seismology, seismic signal processing, scientific instruments, etc., can solve problems that are difficult to establish, and achieve the effects of reducing multiple solutions, improving noise resistance, and strong robustness
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[0062] Embodiments of the present invention will be further described below in conjunction with the accompanying drawings.
[0063] see figure 1 , the present invention provides an adaptive mixed norm dictionary learning seismic wave impedance inversion method, which is realized by the following steps:
[0064] Step 1. Input the seismic wavelet and construct the post-stack wave impedance forward modeling model and objective function.
[0065] see figure 2 , step 1 is implemented through the following process:
[0066] Step 11, construct the post-stack wave impedance forward modeling model.
[0067] According to the Robinson convolution model, post-stack seismic traces are expressed as convolutions of wavelets and reflection coefficients
[0068] s(t)=w(t)*r(t)+n(t)
[0069] Among them, s(t) is seismic trace data, w(t) is seismic wavelet, r(t) is formation reflection coefficient, n(t) is random noise. Converting the above formula into matrix form is
[0070] s=Wr
[00...
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