A Fourier Domain Seismic Data Reconstruction Method Based on Least Squares Parameter Inversion
A seismic data and parameter inversion technology, applied in electrical digital data processing, seismic signal processing, special data processing applications, etc., can solve problems such as regularization of uneven seismic data, and achieve the effect of avoiding spectral leakage and high computational efficiency
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[0016] Below in conjunction with accompanying drawing, the present invention is described in further detail:
[0017] For uniformly sampled data D(p·Δx,q·Δy,ω) without aliasing, perform a spatial 2D discrete Fourier transform on it:
[0018]
[0019] so that you can get then use Perform inverse discrete Fourier transform for interpolation to obtain the value D(x,y,ω) at any point (x,y) in space:
[0020]
[0021] The present invention draws lessons from above-mentioned idea, for non-uniformly sampled seismic data D(x n ,y n ,ω) is processed as follows to get
[0022]
[0023] in getting Later, use (2) interpolation to obtain data on any point (x, y) or regular grid point (pΔx, qΔy).
[0024] Among them, p, q are spatial sample numbers, Δx, Δy are spatial sampling intervals, ω is time frequency, Δk x , Δk y is the spatial wavenumber interval, m kx , m ky is the sequence number of the spatial wavenumber sample.
[0025] However, in practice, for irregula...
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