| 二维波动方程速度的正则化-同伦-测井约束反演 |
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| 引用本文： | 傅红笋,韩波.二维波动方程速度的正则化-同伦-测井约束反演[J].地球物理学报,2005,48(6):1441-1448. |
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| 作者姓名： | 傅红笋 韩波 |
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| 作者单位： | 哈尔滨工业大学数学系,哈尔滨,150001;哈尔滨工业大学数学系,哈尔滨,150001 |
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| 摘 要： | 针对二维波动方程反问题，将大范围收敛的同伦方法引入速度参数的反演过程中，并将其与求解不适定问题的Tikhonov正则化有机结合，提出了一种新的、特别适用于非线性的、不适定的、多极值的地震勘探反演问题的反演策略：正则化－同伦方法. 为了充分利用测井资料和地震资料的互补特征，进一步提高反演分辨率并压制噪声，设计了正则化-同伦－测井约束联合反演方法. 大量数值试验结果表明了这两种方法的有效性.
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| 关 键 词： | 二维波动方程 速度反演 Tikhonov正则化 同伦方法 测井约束 |
| 文章编号： | 0001-5733（2005）06-1441-08 |
| 收稿时间： | 2004-12-30 |
| 修稿时间： | 2004-12-302005-08-29 |
A regularization homotopy method for the inverse problem of 2_D wave equation and well log constraint inversion |
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| FU Hong-Sun,HAN Bo.A regularization homotopy method for the inverse problem of 2_D wave equation and well log constraint inversion[J].Chinese Journal of Geophysics,2005,48(6):1441-1448. |
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| Authors: | FU Hong-Sun HAN Bo |
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| Institution: | Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China |
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| Abstract: | Combining the Tikhonov regularization method for ill-posed problems with the widely convergent homotopy method applied to the inversion process of operator identification,a new strategy-regularization-homotopy method is proposed for the inversion of 2-D wave equation,which is suitable for the nonlinear,ill-posed and multi-extremum seismic inverse problem.In order to restrain noises and improve the quality of inversion,a well log constraint regularization-homotopy method is further constructed.Lots of numerical simulations indicate our method's effectiveness. |
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| Keywords: | 2-D wave equation Velocity inversion Tikhonov regularization Homotopy method Well-log constraint |
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