基于对偶对数障碍规划算法的基追踪反演

2017年 56卷 第No. 2期
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A basis pursuit inversion method based on the primal-dual log-barrier programming algorithm
(1.中国石油大学(华东)地球科学与技术学院,山东青岛266580;2.中国石油化工股份有限公司胜利油田分公司物探研究院,山东东营257031)
(1.School of Geosciences,China University of Petroleum,Qingdao 266580,China; 2.Sinopec Geophysical Institution of Shengli Oil Field,Dongying 257031,China)

常规基追踪反演方法仅仅依赖于地震数据,分辨率依然不足,可能导致反演结果与实际工区情况不符。为此,在基追踪反演算法中引入地质模型约束,构建先验模型约束目标函数,将其转化为约束最优化问题,然后利用对偶对数障碍规划算法进行求解,有效解决了基追踪反演结果分辨率较低的问题。二维模型数据测试结果表明,与常规基追踪反演方法相比,改进的基追踪反演方法分辨率更高,在实际资料应用中取得了较好的效果。

Because the conventional basis pursuit inversion method merely depends on the seismic data,the inversion resolution is still insufficient and may cause the inversion results being not consistent with the actual geological situation.By introducing geological model constraint in the basis pursuit inversion and creating new objective function constrained via prior model,we convert it to a constrained optimization problem and solve it by the primal-dual log-barrier programming algorithm.The issue of insufficient resolution in the conventional basis pursuit inversion can be effectively addressed.Two-dimensional model tests indicate that the inversion result obtained by the improved basis pursuit inversion has better resolution than that of the conventional basis pursuit inversion method.Furthermore,better inversion result in the application of real data is achieved.

稀疏约束; 基追踪反演; 地震反演; 先验约束;
sparse constraint,; basis pursuit inversion,; seismic inversion,; priori constraint;

国家自然科学基金(41404088)、中国石油天然气股份有限公司科技重大专项(2014E-2107)和胜利油田分公司科研课题(YKW1605)联合资助。

10.3969/j.issn.1000-1441.2017.02.014