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Prestack density inversion using the Fatti equation constrained by the P- and S-wave impedance and density

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Abstract

Simultaneous prestack inversion is based on the modified Fatti equation and uses the ratio of the P- and S-wave velocity as constraints. We use the relation of P-wave impedance and density (PID) and S-wave impedance and density (SID) to replace the constant Vp/Vs constraint, and we propose the improved constrained Fatti equation to overcome the effect of P-wave impedance on density. We compare the sensitivity of both methods using numerical simulations and conclude that the density inversion sensitivity improves when using the proposed method. In addition, the random conjugate-gradient method is used in the inversion because it is fast and produces global solutions. The use of synthetic and field data suggests that the proposed inversion method is effective in conventional and nonconventional lithologies.

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Acknowledgments

We wish thank Professor Gu Hanming, China University of Geosciences for comments.

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Correspondence to Li-Feng Liang.

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This research work is supported by the National Nature Science Foundation of China (Nos. 41374116 and 41674113) and the project of CNOOC (No. CNOOC-KJ 125 ZDXM 07 LTD NFGC 2014-04).

Liang Li-Feng received his BS from Inner Mongolia University for Nationalities in 1999 and his MS from China University of Geoscience in 2004. He is presently a PhD student in Hohai University. His research interests are forward modeling and seismic inversion.

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Liang, LF., Zhang, HB., Dan, ZW. et al. Prestack density inversion using the Fatti equation constrained by the P- and S-wave impedance and density. Appl. Geophys. 14, 133–141 (2017). https://doi.org/10.1007/s11770-017-0598-9

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  • DOI: https://doi.org/10.1007/s11770-017-0598-9

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