| 基于软约束模式的波阻抗反演 |
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| 引用本文： | 张宏兵,杨长春,尚作萍,杨青峰.基于软约束模式的波阻抗反演[J].地球物理学进展,2006,21(3):837-844. |
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| 作者姓名： | 张宏兵 杨长春 尚作萍 杨青峰 |
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| 作者单位： | 1.河海大学土木工程学院，南京 210098; 2.中国科学院地质与地球物理研究所，北京 100101; 3.江苏省水文地质工程地质勘察院，淮安 223000 |
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| 基金项目： | 中国科学院重大创新项目(KZCX1-SW-18)，河海大学科技创新基金资助项目(2004400711)资助 |
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| 摘 要： | 通过在目标函数中增加先验知识约束，我们可以解决波阻抗反演的病态问题及带限问题.基于马尔柯夫随机域（MRF）的邻域系统及势函数构建一种软性约束模式，将井眼约束信息外推到井间，避免过往强制约束的不足.马尔柯夫随机域的一阶邻域偏好于常数值区域，而模型中常梯度值区域和常曲率值区域分别需要用到二阶和三阶邻域，综合使用三种类型的邻域可以改善反演效果.通过理论模型试算和实际资料处理，证明了本文提出的约束模式具有非强制性约束特点，实用性强.
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| 关 键 词： | 波阻抗反演 约束反演 正则化 MRF 邻域系统 |
| 文章编号： | 1004-2903（2006）03-0837-08 |
| 收稿时间： | 2005-05-20 |
| 修稿时间： | 2005-09-10 |
Impedance inversion with soft constrained mode |
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| ZHANG Hong-bing,YANG Chang-chun,SHANG Zuo-ping,YANG Qing-feng.Impedance inversion with soft constrained mode[J].Progress in Geophysics,2006,21(3):837-844. |
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| Authors: | ZHANG Hong-bing YANG Chang-chun SHANG Zuo-ping YANG Qing-feng |
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| Institution: | 1. College of Civil Engineering, Hohai University, Nanjing 210098, China ; 2. Institute of Geology and Geophysics,Chinese Academy of Sciences, Beijing 100029, China; 3. J iangsu Province Institute of H ydrogeological and Engineering Geological Investigation, huaian 223000,China |
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| Abstract: | By introducing the prior information constraint in the objective function,we can solve the ill-posed problem and band-limited problem for the impedance inversion.Basing on the neighborhood system of MARKOV random field(MRF) and the potential function,we build a soft constrained mode to overcome the shortage of the force constraints,and we extend well constrained data to well-cross.The first-order neighborhood of MRF bias the constant value,the constant gradient value and the constant curvature value of model need the second-order and the third-order neighborhood,respectively.So,combining three kinds neighborhoods can improve the inversion results.Through testing both synthetic and the field data,it is demonstrated that this constrained mode has the advantage of non-force constraint and high practicability. |
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| Keywords: | impedance inversion constrained inversion regularization MRF neighborhood system |
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