【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.更多还原

【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.更多还原