Method for establishing low frequency model of seismic wave impedance inversion
A model building and seismic wave technology, applied in the field of seismic wave impedance inversion low-frequency model building, can solve the problems of multiple uncertainties and different sensitivity of inversion results, achieve high longitudinal precision, improve the ability of cycle skipping problems, and improve reliability effect
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[0038] The present invention will be described in detail below in conjunction with the accompanying drawings and embodiments.
[0039] Traditional envelope inversion methods use the envelope information of the wave field to construct the objective function. The envelope of the wave field can be defined as:
[0040]
[0041] In the formula, u and E(u) are the wave field and the envelope of the wave field respectively; H(u)=u(t)*(1 / πt) is the Hilbert transform of the wave field; t represents time.
[0042] Then the objective function of envelope inversion is:
[0043]
[0044] where u cal (t, s, r, V) and u obs (t, s, r) are the calculated wave field and observed wave field where the source is located at s and the receiver is located at r; V is the velocity of the underground medium; T is the time length of the seismic wave field record.
[0045] The envelope inversion method uses the information in the full frequency band of the wave field to construct the inversion a...
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