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二维波动方程速度的正则化-同伦-测井约束反演
A regularization homotopy method for the inverse problem of 2-D wave equation and well log constraint inversion
【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.
【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.
【Key words】 2-D wave equation; Velocity inversion; Tikhonov regularization; Homotopy method; Well-log constraint;
- 【文献出处】 地球物理学报 ,Chinese Journal of Geophysics , 编辑部邮箱 ,2005年06期
- 【分类号】P631.4;
- 【被引频次】34
- 【下载频次】345