| 基于L1范数的波阻抗反演 |
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| 引用本文： | 刘百红,李建华,郑四连.基于L1范数的波阻抗反演[J].物探化探计算技术,2019(1):6-11. |
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| 作者姓名： | 刘百红 李建华 郑四连 |
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| 作者单位： | 中国石化石油物探技术研究院;东方地球物理公司研究院地质研究中心 |
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| 基金项目： | 国家科技重大专项(2016ZX05018007) |
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| 摘 要： | 提出了一种新的波阻抗反演方法,首先根据地下反射系数序列是一个稀疏脉冲序列这一假设,将地震波阻抗反演中的目标函数表示为L1范数约束下的L1范数优化问题,并将L1范数用一个平滑函数来近似,从而使得目标函数函数可微。然后将L1范数约束下的基追踪问题转化为无约束最优化问题,并利用基于导数的局部优化方法求解无约束优化问题,求得反射系数,进而计算得到波阻抗。模型和实际资料计算结果均表明该方法可行。
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| 关 键 词： | 地震勘探 反射系数 波阻抗 反演 L1范数 |
Seismic impedance inversion based on norm |
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| LIU Baihong,LI Jianhua,ZHENG Silian.Seismic impedance inversion based on norm[J].Computing Techniques For Geophysical and Geochemical Exploration,2019(1):6-11. |
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| Authors: | LIU Baihong LI Jianhua ZHENG Silian |
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| Institution: | (Sinopec Geophysical Research Institute,219 Shanggao Road,Jiangning District,Nanjing211103,China;BGP geological research center,Zhuozhou072715,China) |
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| Abstract: | A new method to inverse seismic reflection data for reflection coefficients is introduced.According to the assumption:the reflectivity is composed of a series of sparse-spike,the inversion is accomplished by first minimizing an objective function which includes a quadratic error term(norm)combined with a sparseness-inducing regularization term(norm).Then the norm is approximated by a smoothing function,so that the penalty becomes differentiable,and then minimization algorithm for continuous functions based on derivative is used to solve the problems.The method was tested on both model data and real field data,and the results show the method is feasible. |
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| Keywords: | seismic exploration reflection coefficients impedance inversion norm |
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