石油地球物理勘探2025，Vol.60Issue(3)：710-717,8.DOI:10.13810/j.cnki.issn.1000-7210.20240328
基于第二类切比雪夫多项式直接展开的叠前深度偏移方法
Prestack depth migration method based on direct expansion of the second kind of Chebyshev polynomials
摘要
Abstract
The second kind of Chebyshev expansion has been widely used in numerical approximations since it has stricter constraints on the objective function compared to the first kind of Chebyshev expansion,resulting in smaller error accumulation.Starting from the frequency-domain acoustic wave equation,this paper introduces the second kind of Chebyshev expansion into the Fourier one-way wave continuation operator to achieve wave-field continuation.On this basis,with the use of the Born approximation theory and cross-correlation imaging conditions,prestack depth migration imaging is realized based on the direct expansion of the second kind of Che-byshev polynomials.This method utilizes the accurate velocity at each location during depth propagation,re-ducing errors compared to the conventional one-way wave continuation method which uses the mode of depth-layer background velocity combined with perturbation velocity.This achieves higher accuracy of the wavefield continuation operator under strong lateral velocity variations.The effectiveness of the method is verified through wavefield snapshot analysis and model imaging tests.It has significantly improved imaging accuracy compared to conventional prestack depth migration methods for one-way wave.关键词
频率—波数域/波场延拓/第二类切比雪夫展开/叠前深度偏移Key words
frequency-wavenumber domain/wavefield continuation/second kind of Chebyshev expansion/prestack depth migration分类
天文与地球科学引用本文复制引用
张琦,李振春,曲英铭,杨静,张雷..基于第二类切比雪夫多项式直接展开的叠前深度偏移方法[J].石油地球物理勘探,2025,60(3):710-717,8.基金项目
本项研究受国家自然科学基金项目"面向深层岩性油气藏的黏弹性参数反演成像方法研究"(42074133)和中国石油集团东方地球物理公司项目"复杂介质腔体三维建模方法与地震响应规律分析"(BGPYJY2024-2188)联合资助. （42074133）
