Time domain multi-scale full waveform inversion method based on nonlinear high-order frequency extension
A full-waveform inversion and time-domain technology, which is applied to instruments, geophysical surveys, and measurement devices, can solve the problems of large amount of calculation in waveform inversion, affecting the construction of long-wavelength components, and complex attenuation parameter extraction. Weekly problems, easy to operate, and avoid dependence effects
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[0092] The overall process of the present invention is as figure 1 shown.
[0093] use as figure 2 As can be seen from the spectrum analysis results of the shown Reck wavelet, the main frequency of the wavelet is 20Hz, and the low-frequency information below 8Hz is missing. The high-order low-frequency reconstruction method of the present invention is adopted. Reconstruction results using n=1, 2, 3, 11 are as follows image 3 (a)-3(d). It can be seen that the waveform of the seismic wave becomes narrower after the high-order power operation. image 3 The spectrum analysis results of (a)-3(d) are as follows image 3 (e)-3(h). It can be seen that when n>2, the energy below 8Hz is restored to varying degrees. When n is larger, the reconstructed record is more and more close to the broadband impulse function. The reconstructed low-frequency components can be extracted by low-pass filtering.
[0094]The behavior of the objective function is analyzed below. The real model...
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