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实数编码遗传算法在大地电磁测深二维反演中的应用
  • ISSN号:1004-2903
  • 期刊名称:《地球物理学进展》
  • 时间:0
  • 分类:P631[天文地球—地质矿产勘探;天文地球—地质学]
  • 作者机构:[1]中南大学信息物理工程学院,长沙410083
  • 相关基金:国家自然科学基金资助项目(60672042)资助.
中文摘要:

作为全局非线性优化的新方法之一的遗传算法,近年来已从生物工程流行到大地电磁测深资料解释中.然而,大地电磁反演问题具有不适定性,解的非唯一性.通过结合求解不适定问题的Tikhonov正则化方法,本文采用实数编码遗传算法求解大地电磁二维反演问题.此算法在构建目标函数时引入正则化的思想,利用遗传算法求解最优化问题.常规的基于局部线性化的最优化反演方法易使解陷入局部极小值,而且严重的依赖初始模型的选择.与传统线性化的迭代反演方法相比,实数编码遗传算法能够克服传统方法的不足且能获得更好的反演结果.通过对大地电磁测深理论模型进行计算,结果表明:该算法具有收敛速度快、解的精度高和避免出现早熟等优点,可用于大地电磁资料解释.

英文摘要:

Genetic algorithm, one of the new methods for global non-linear optimization, has been applied to magnetotelluric sounding (MT) data analysis. But the magnetotelluric inverse problem is ill-posed, and therefore unstable and non-unique. In this paper, the inverse problem of two-dimensional magnetotelluric has been solved by using a real coded genetic algorithm that employing Tikhonov regularization method. The approach is based on regularization theory and genetic algorithm is utilized for searching for the minimum of the parametric functional. The normal optimum in- version methods based on local linearization are usually lost in local minimum values, and they seriously depend on the selection of the initial model. Compared with the traditional iterative inversion methods through linearization, the real coded GA is able to overcome disadvantages of the traditional inversion and obtain better results. The inversion results of magnetotelluric sounding synthetic models are ideal, which indicates that the algorithm possesses advantages of expediting convergence, avoiding earliness and improving precision. The real coded GA is highly adaptable and well suited to non-linear hypothesis testing as well as to inverse modeling. So it can be used in magnetotelluric sounding data analysis.

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期刊信息
  • 《地球物理学进展》
  • 北大核心期刊(2011版)
  • 主管单位:中国科学院
  • 主办单位:中国科学院地质与地球物理研究所 中国地球物理学会
  • 主编:刘光鼎
  • 地址:北京市9825信箱
  • 邮编:100029
  • 邮箱:prog@mail.igcas.ac.cn
  • 电话:010-82998113 62369620
  • 国际标准刊号:ISSN:1004-2903
  • 国内统一刊号:ISSN:11-2982/P
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊(2004版),中国北大核心期刊(2008版),中国北大核心期刊(2011版),中国北大核心期刊(2014版)
  • 被引量:18579