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基于精确Zoeppritz方程的非线性AVO三参数反演
引用本文:周林,李景叶,陈小宏.基于精确Zoeppritz方程的非线性AVO三参数反演[J].地球物理学报,2016,59(7):2663-2673.
作者姓名:周林  李景叶  陈小宏
作者单位:1. 中国石油大学(北京)油气资源与探测国家重点实验室, 北京 102249;2. 中国石油大学(北京)海洋石油勘探国家工程实验室, 北京 102249
基金项目:国家自然科学基金项目(U1262207、41390454)和国家科技重大专项课题(2011ZX05019-006)联合资助.
摘    要:常规AVO三参数反演通常存在密度反演不准确的问题,而密度参数对常规油气藏中的流体识别、流体饱和度计算、孔隙度计算以及非常规油气藏中TOC含量计算、裂缝预测等都至关重要,因此对于研究如何利用大偏移距振幅信息和富含密度信息的PS波地震资料来提高密度反演结果的稳定性和精度显得尤为重要.研究基于贝叶斯反演理论框架,引入三变量Cauchy分布先验约束,利用精确Zoeppritz方程构建了AVO三参数联合反演的目标函数,对目标函数进行Taylor二阶非线性简化,得到模型参数的迭代更新公式,实现了大偏移距地震振幅信息的利用和PP波、PS波联合反演.合成数据和实际地震数据的方法测试结果表明,新方法不仅可以直接反演纵波速度、横波速度和密度,而且还具有很高的精度,尤其是密度反演结果.基于合成数据的PP波、PS波单独反演结果与PP波和PS波联合反演结果对比显示,联合反演稳定性更好,精度更高,抗噪能力更强,验证了该方法的可行性和有效性.与基于Aki-Richards近似公式的反演结果对比表明,该反演方法具有更高的反演精度和更好的抗噪性.

关 键 词:精确Zoeppritz方程  贝叶斯  三变量柯西分布  非线性  联合反演  
收稿时间:2015-05-06

Nonlinear three-term AVO inversion based on exact Zoeppritz equation
ZHOU Lin,LI Jing-Ye,CHEN Xiao-Hong.Nonlinear three-term AVO inversion based on exact Zoeppritz equation[J].Chinese Journal of Geophysics,2016,59(7):2663-2673.
Authors:ZHOU Lin  LI Jing-Ye  CHEN Xiao-Hong
Institution:1. State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, Beijing 102249, China;2. National Engineering Laboratory for Offshore Oil Exploration, China University of Petroleum, Beijing 102249, China
Abstract:Traditional three-term AVO inversion is usually inaccurate for density inversion, while density is vital in fluid identification, fluid saturation calculation, porosity calculation of conventional reservoirs, TOC content calculation, and cracks prediction of unconventional reservoirs. Therefore, utilizing amplitude information of large offset data and PS wave data, which include abundant density information, is important to improve the stability and accuracy of density inversion results. Based on framework of Bayesian inversion, we introduce Trivariate Cauchy distribution as prior distribution, use exact Zoeppritz equation to construct the objective function of the three-term AVO joint inversion, simplify the objective function by second-order Taylor, and obtain the iterative updating formula of model parameters. Then, we use large offset data to improve inversion results, and realize PP and PS data joint inversion. #br#Synthetic data and field data test results show that this new method not only can directly invert P-wave velocity, S-wave velocity and density, but also has high accuracy, especially for the density inversion results. By comparing PP-wave or PS-wave model data inversion results with PP and PS-waves joint inversion results, it is obvious that joint inversion has better stability, higher precision and stronger antinoise ability. This demonstrates feasibility and effectiveness of the method. Compared with Aki-Richards approximate formula inversion results, it is noted that this method has higher precision and better antinoise ability.
Keywords:Exact Zoeppritz equation  Bayes  Trivariate Cauchy distribution  Nonlinear  Joint inversion
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