同伦神经优化理论及其在地震反演中的应用
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摘要
地震数据反演是一个典型的非线性逆问题。其目标函数都是多极值的函数，因此，传统的迭代优化方法常常会遇到局部收敛性的限制。本文提出的同伦神经优化理论（HNOT）及其算法（HNOA）能将非线性多极值目标函数较快地收敛于全局极值，是一种有效的反演方法。本文将该反演方法与相邻道互相关技术和层位信息约束有机地结合起来，实现了地震数据控制下的井资料高分辨率岩性参数联合反演。理论模型与实际资料的处理结果表明，本文提出的方法是可行的。
Seismic data inversion is a typical nonlinear inverse problem, and 1ts objectfunctions are multiextremal functions. Therefore l ordinary iterative optimizati0nmethod are often restricted by local convergence. Homotopic neural optimizationtheory and its algorithm described in this paper can make nonlinear multiextremalobject functions converge fast to global extremum, so it is an effective inversionmethod. This inversion method is combined with both adjacent trace crosscorre-lation and stratum data restriction to jointly derive high-resolution l1thology param-eters from logging data under restriction of seismic data- Theoretical and real re-sults prove this method feasible.
Seismic data inversion is a typical nonlinear inverse problem, and 1ts objectfunctions are multiextremal functions. Therefore l ordinary iterative optimizati0nmethod are often restricted by local convergence. Homotopic neural optimizationtheory and its algorithm described in this paper can make nonlinear multiextremalobject functions converge fast to global extremum, so it is an effective inversionmethod. This inversion method is combined with both adjacent trace crosscorre-lation and stratum data restriction to jointly derive high-resolution l1thology param-eters from logging data under restriction of seismic data- Theoretical and real re-sults prove this method feasible.
引文
1李庆忠.走向精确勘探的道路,石油工业出版社,1993
2刘爱林.油气田开发地震技术,石油工业出版社,1996
3雍学善,张秀萍.井资料约束下的高分辨率岩性参数反演.地震资料处理技术论文集,石油工业出版社,1995,523～533
4符力耘,程胜,段玉.地震波阻抗反演的ANNLOG技术及其应用效果.石油地球物理勘探,1997,32(1):34～44
5陆文凯,牟永光.利用BP神经网络进行测井资料外推.石油地球物理勘探,1996,31(5):712～715
6林小竹,钱绍新.自适应滤波法波阻抗估计.石油地球物理勘探,1997,32(4):478～485
7焦李成.神经网络计算,西安电子科技大学出版社,1995
8Roy-Chowdhury K. Use of neural networks for non-linear non-unique inversion in geophysics.ExpandedAbstracts of 67th SEG Mtg,1997,1620～1623
9 Lines L R.Inversion of Ceophysical Data.geophysics reprint series No.9(3rd printing), Socilety of Ex-ploration Geophysicists, 1993
10蔡大用,白峰杉.高等数值分析,清华大学出版社,1997
11李庆忠.论地震约束反演的策略.东部地区第九次石油物探技术讨论会论文,1997
12刘舒考.地震数据的同伦神经优化反演理论与方法研究.石油勘探开发科学研究院博士论文,1998
2刘爱林.油气田开发地震技术,石油工业出版社,1996
3雍学善,张秀萍.井资料约束下的高分辨率岩性参数反演.地震资料处理技术论文集,石油工业出版社,1995,523～533
4符力耘,程胜,段玉.地震波阻抗反演的ANNLOG技术及其应用效果.石油地球物理勘探,1997,32(1):34～44
5陆文凯,牟永光.利用BP神经网络进行测井资料外推.石油地球物理勘探,1996,31(5):712～715
6林小竹,钱绍新.自适应滤波法波阻抗估计.石油地球物理勘探,1997,32(4):478～485
7焦李成.神经网络计算,西安电子科技大学出版社,1995
8Roy-Chowdhury K. Use of neural networks for non-linear non-unique inversion in geophysics.ExpandedAbstracts of 67th SEG Mtg,1997,1620～1623
9 Lines L R.Inversion of Ceophysical Data.geophysics reprint series No.9(3rd printing), Socilety of Ex-ploration Geophysicists, 1993
10蔡大用,白峰杉.高等数值分析,清华大学出版社,1997
11李庆忠.论地震约束反演的策略.东部地区第九次石油物探技术讨论会论文,1997
12刘舒考.地震数据的同伦神经优化反演理论与方法研究.石油勘探开发科学研究院博士论文,1998
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