Inversion of a vertical seismic profile by minimization of an en

Communications – electrical: acoustic wave systems and devices – Seismic prospecting – Land-reflection type

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367 57, 364421, 364422, G01V 128

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048414905

ABSTRACT:
The present invention is directed to a method of inverting seismic traces Sk by determining the series R={r.sub.i } representative of the seismic reflection coefficients from geological strata. The method includes the steps of determining an approximate solution to R.degree. by minimizing an entropy type function H(R)=.SIGMA.f(r.sub.i) under constraints related to the upgoing wavefield Uk and the downgoing wavefield Dk; determining a correction value .DELTA.R by minimizing a linear function J(.DELTA.R) under linear constraints related to the noise in the traces and to the time-depth curve extracted from the traces; and calculating R=R.degree.+.DELTA.R, representative of the reflection coefficients. In a variant, the selection of the approximate solution R.degree. is guided by taking into account information contained in one or more logs, and determining .DELTA.R so that the series R satisfies the stacking velocities which result from surface seismic processing.

REFERENCES:
Nali, "Recursive Derivation of Reflection Coefficients from Noisy Seismic Data," 1978 IEEE Int'l. Conf. on Acoustics, Speech & Signal Processing, Tulsa, Okla., 10-12 Apr. 1978, pp. 524-528.
Oldenburg, et al., "Inversion of Band-Limited Reflection Seismograms: Theory & Practice," Proc. of IEEE,. vol. 74, No. 3, Mar. 1986, pp. 487-497.

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