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FINITE-DIFFERENCE REVERSE-TIME MIGRATION BASED ON ANISOTROPIC PURE QP WAVE EQUATION IN TTI MEDIA.

YUJIAN ZHANG1 ,  JIANPING HUANG1 ,  QIANG MAO1
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1 School of Computer and Information Technology, Northeast Petroleum University, Da Qing, Heilongjiang, 163318, China
a School of Computer and Information Technology, Northeast Petroleum University, Da Qing, Heilongjiang, 163318, China,
JSE 2024, 33(6), 1–21;
Submitted: 24 February 2024 | Accepted: 6 August 2024 | Published: 1 December 2024
© 2024 by the Author(s). This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution -Noncommercial 4.0 International License (CC-by the license) ( https://creativecommons.org/licenses/by-nc/4.0/ )
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Abstract

The anisotropic effects in real earth media can induce waveform distortion on seismic wave propagation. Neglecting these effects in seismic imaging processing can lead to a degradation in imaging resolution. Therefore, starting from the exact P-wave dispersion relation, we derive a pure acoustic wave equation for tilted transversely isotropic (TTI) media to accurately characterize the anisotropic effects. In contrast to the coupled pseudo-acoustic TTI wave equation, our new pure acoustic TTI wave equation generates a noise-free wavefields and remains stable for anisotropic parameters (ε < δ). The newly derived pure acoustic TTI wave equation accurately simulates the P-wave kinematic features, as demonstrated through theoretical analysis. Additionally, building on the proposed wave equation, we formulate a finite-difference operator and obtain a pure acoustic TTI wave equation that can be solved by finite-difference (FD) method. Numerical tests illustrate that the proposed FD-solvable pure acoustic TTI wave equation is highly efficient in wavefield simulation. Finally, based on the newly derived FD-solvable pure acoustic TTI wave equation, we implement TTI reverse time migration (TTI RTM). Numerical examples demonstrate the efficacy of the proposed TTI RTM scheme in correcting for anisotropic effects.

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Journal of Seismic Exploration, Print ISSN: 0963-0651, Published by AccScience Publishing
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