石油学报 ›› 2015, Vol. 36 ›› Issue (12): 1553-1558.DOI: 10.7623/syxb201512009

• 地质勘探 • 上一篇    下一篇

基于优化系数的混合域Fourier有限差分叠前深度偏移

罗仁泽, 何国林, 包科   

  1. 西南石油大学油气藏地质及开发工程国家重点实验室 四川成都 610500
  • 收稿日期:2015-07-26 修回日期:2015-10-22 出版日期:2015-12-25 发布日期:2016-01-06
  • 通讯作者: 罗仁泽,男,1973年9月生,1992年获西南石油学院学士学位,2005年获电子科技大学博士学位,现为西南石油大学地球科学与技术学院二级教授、四川省"千人计划"特聘专家、四川省学术和技术带头人后备人选,主要从事油气信号检测与信息处理方法研究工作。Email:lrzsmith@126.com
  • 基金资助:

    油气藏地质及开发工程国家重点实验室(成都理工大学)开放基金项目(PLC201104)和国家自然科学基金项目(No.61072073)资助。

Mixed-domain Fourier finite-difference prestack depth migration based on coefficient optimization

Luo Renze, He Guolin, Bao Ke   

  1. State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Sichuan Chengdu 610500, China
  • Received:2015-07-26 Revised:2015-10-22 Online:2015-12-25 Published:2016-01-06

摘要:

为了提高复杂高陡构造区成像精度,提出了基于系数优化的混合域Fourier有限差分叠前深度偏移方法,该方法利用padé近似的有理函数对波场外推算子进行展开,然后利用切比雪夫多项式优化展开式系数,推导得到新的波场外推算子,降低了与波动方程精确波场外推算子的相对误差,提高了对波场外推算子的逼近程度,且在保证计算效率的同时提高了高陡构造区地震偏移成像的精度。对比改进后的混合域Fourier有限差分偏移方法与常规的傅里叶有限差分偏移方法(FFD)对Marmousi模型偏移剖面的成像效果,系数优化后的混合域Fourier有限差分偏移方法具有更高的成像精度。

关键词: 优化系数, 混合域Fourier有限差分, 叠前深度偏移, 切比雪夫, 有理函数

Abstract:

To improve the imaging precision of complex high steep structural regions, a method of mixed-domain Fourier finite-difference prestack depth migration based on coefficient optimization is proposed. In this method, padé approximate rational function is used for expanding wave-field extrapolation operators. Then the expansion coefficients are optimized using Chebyshev polynomial, so as to derive new wave-field extrapolation operator, reduce the relative error from the exact wave-field extrapolation operator of wave equation, enlarge the approximation extent of wave field extrapolation operator, and improve the seismic migration imaging precision of high steep structural regions while ensuring computational efficiency. Through comparison the imaging effects of Marmousi model migration sections between the improved mixed-domain Fourier finite-difference migration method and conventional Fourier finite difference migration method, it is proven that the mixed-domain Fourier finite-difference migration method with coefficient optimization has a higher imaging precision.

Key words: coefficient optimization, mixed-domain Fourier finite difference, prestack depth migration, Chebyshev, rational function

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