Seismic coherence in the presence of signal time-delay fluctuations

Yu. K. Tyapkin, I. V. Mendrii, O. Yu. Shchegolikhin, O. M. Tiapkina


One of the main seismic attributes widely used to identify and study lateral changes in the geological environment, such as pinch-outs, faults, fractured zones, and buried paleochannels, is the coherence of seismic images. In the article, a new method for calculation of this popular seismic attribute is proposed. It is based on a generalized mathematical model of the seismic image. The model allows for arbitrary variations of not only signal amplitudes and noise variances, but also residual signal time delays within a space-time window that slides along the image and wherein the coherence calculation is performed. The residual time delays are fluctuations in the arrival times of the signal after subtracting the trend approximated by first- or second-order polynomials. An iterative algorithm for an optimized estimation of the parameters of the generalized mathematical model of the seismic image, which are necessary for the new method of calculating coherence, is described. The algorithm uses deterministic regularization. The proposed method is tested and compared with one of the traditional analogs on synthetic data. Moreover, the new coherence measure has been successfully used in the study of fractured zones in coal-bearing strata of the Donetsk basin and in the study of a gas field in the Dnieper-Donets depression.


seismic coherence; generalized seismic image model; residual time delays; projection onto а convex set; fractured zone; buried paleochannel


Mendriy Ya. V., Tyapkin Yu. K., 2012. Development of computation technology for coherence on the base of improved models of seismic record. Geofizicheskiy zhurnal 34(3), 102—115 (in Russian).

Mendriy I. V., Tyapkin Y. K., 2014. Seismic coherence: updated computation and application to a study of fractured zones in the Donets Basin. Seismic Technology 11(1), 1—20. doi: 10.3997/ 2405-7495.2015075.

Tyapkin Y. K., 1994. Optimized estimates of a complicated model of the multichannel seismic record with statistic and deterministic regularization. Russian Geology and Geophysics 35 (1), 109—115.

Tyapkin Yu., 1991. Stable iterative algorithm of adaptive weighted stacking of seismic records. Soviet Geology and Geophysics 32(5), 122—125.

Tyapkin Yu. K., Prykhodchenko D. F., Nekracov I. A., 2005. Optimizing the process of selecting the signal from multichannel seismic record. Geofizicheskiy zhurnal 27(5), 710—729 (in Russian).

Bahorich M., Farmer S., 1995. 3-D seismic discontinuity for faults and stratigraphic features: The coherence cube. The Leading Edge 14(10), 1053—1058. doi: 10.1190/1.1437077.

Cohen I., Coifman R. R., 2002. Local discontinuity measures for 3-D seismic data. Geophysics 67(6), 1933—1945. doi: 10.1190/1.1527094.

Fomel S., 2010. Predictive painting of 3-D seismic volumes. Geophysics 75(4), A25—A30. doi: 10.1190/1.3453847.

Franks L. E., 1969. Signal theory. N. J.: Englewood Cliffs, Prentice-Hall, 317 p.

Gersztenkorn A., Marfurt K. J., 1999. Eigenstructure-based coherence computations as an aid to 3-D structural and stratigraphic mapping. Geophysics 64(5), 1468—1479. doi: 10.1190/ 1.1444651.

Gersztenkorn A., Sharp J., Marfurt K., 1999. Delineation of tectonic features offshore Trinidad using 3-D seismic coherence. The Leading Edge 18(9), 1000—1008. doi: 10.1190/1.1438422.

Gimlin D. R., Keener M. S., Lawrence J. F., 1982. Maximum likelihood stacki ng in white Gaussian noise with unknown variances. IEEE Transactions on Geoscience and Remote Sensing GE-20(1), 91—98. doi: 10.1109/TGRS.1982.4307527.

Karimi P., Fomel S., Wood L., Dunlap D., 2015. Predictive coherency. Interpretation 3(4), SAE1—SAE7. doi: 10.1190/INT-2015-0030.1.

Liu Y., Fomel S., Liu G., 2010. Nonlinear structure-enhancing filtering using plane-wave prediction. Geophys. Prosp. 58(3), 415—427. doi: 10.1111/j.1365-2478.2009.00840.x.

Li Y., Lu W., Xiao H., Zhang S., Li Y., 2006. Dip-scanning coherence algorithm using eigen structure analysis and supertrace technique. Geophysics 71(3), V61—V66. doi: 10.1190/1.2194899.

Lu W., Li Y., Zhang S., Xiao H., Li Y., 2005. Higher-order-statistics and supertrace-based coherence-estimation algorithm. Geophysics 70(3), P13—P18. doi: 10.1190/1.1925746.

Marfurt K. J., Kirlin R. L., Farmer S. L., Bahorich M. S., 1998. 3-D seismic attributes using a semblance-based coherence algorithm. Geophysics 63(4), 1150—1165. doi: 10.1190/1. 1444415.

Marfurt K. J., Sudhaker V., Gersztenkorn A., Crawford K. D., Nissen S. E., 1999. Coherency calculations in the presence of structural dip. Geophysics 64(1), 104—111. doi: 10.1190/1.1444508.

Mendrii I., Tyapkin Y., Vasilkovskiy V., 2016. Seismic coherence in the presence of residual trace-to-trace time delay variations. 78th EAGE Conference, Extended Abstracts, Paper We P2 11. doi: 10.3997/2214—4609.201601024.

Roberts A., 2001. Curvature attributes and their application to 3D interpreted horizons. First Break 19(2), 85—100. doi: 10.1046/j.0263-5046.2001.00142.x.

Tchalenko J. S., 1970. Similarities between shear zones of different magnitudes. Geol. Soc. Am. Bull. 81(6), 1625—1640. doi: 10.1130/0016- 7606(1970)81[1625:SBSZOD]2.0.CO;2.

Tyapkin Y., Mendrii I., 2012. Improved measure of seismic coherence using a more realistic data model. 74th EAGE Conference, Extended Abstracts, Paper P085. doi: 10.3997/2214-4609.20148483.

Tyapkin Yu., Ursin B., 2005. Optimum stacking of seismic records with irregular noise. J. Geophys. Eng. 2(3), 177—187. doi: 10.1088/1742-2132/2/3/001.

Youla D. C., Webb H., 1982. Image restoration by the method of convex projections. Part 1 — Theory. IEEE Transactions on Medical Imaging, MI-1(2), 81—94. doi: 10.1109/TMI.1982. 4307555.



  • There are currently no refbacks.