用L_1模线性规划算法恢复地下波阻抗

英文篇名：Subsurface impedance recovering by L_1-norm linear programming algorithm
中文刊名：石油物探
英文刊名：GEOPHYSICAL PROSPECTING FOR PETROLE
作者：赵德斌 ; 唐权钧 ; 庞世明
英文作者：Zhao Debin et al. (Daqing Petroleum Institute ; Anda 151400)
中文关键词：L_1模型 ; 线性规划 ; 约束条件 ; 波阻抗
英文关键词：L_1 norm ; linear programming ; constraint condition ; wave impedance
出版日期：1999-02-15
机构：大庆石油学院!安达,151400,中国新星石油公司石油物探研究所!南京,210014,中国新星石油公司石油物探研究所!南京,210014
年：1999
期：01
出版单位：石油物探

摘要

首先详细地阐述了用L1模线性规划算法恢复地下波阻抗的数学原理，指出了在层状地球模型假定下限制波阻抗具有极小结构的形式，与数学上用L1模线性规划算法计算地层反射系数序列是相一致的。然后用理论模型、测井记录以及野外地震资料进行了反演计算，证实了该算法是行之有效的。最后对如何引进约束条件进行了简单的讨论，指出它对于反演解的正确性和可靠性是至关重要的，对于减少解的非唯一性也是必不可少的。
We expound the mathematical principle of recovering subsurface impedances by L1-norm linear programming algorithm. It is pointed out that under the assumption of layered Earth models, restricting impedances to be of minimum structure form is consistent with computing stratigraphic reflec-tivity series by the L1-norm linear programming algorithm in mathematics. Inversion computations of theoretical models, well logs and field seismic data prove the effectiveness of this algorithm. Finally we simply discuss how to introduce constraint conditions, and point out that this is very important for correctness and reliability of inversion solutions and indispensable for reducing the ambiguity of solutions.

引文

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