波阻抗反演正则参数估计

Estimation of regular parameters for the impedance inversion

为了解决用正则化方法能够将波阻抗反演的病态问题转为良态问题 ,通过统计方法合理地选择正则参数的初值 ,在反演过程中用极大似然 (ML)方法实时进行正则参数值估计 ,提高反演收敛速度 ,改善反演结果 .同时 ,在具体反演中将正则化方法与快速模拟退火算法相结合 ,充分发挥正则参数作用 ,可以获得全局最优解 ,取得了好的实际应用效果 .

Using the regularization method,we can turn the ill-posed inverse problem into good-posed one. Through selecting reasonable initial regular parameter values by the statistic method and estimating regular parameter values by the maximum likelihood(ML)in the inverse procedure,the inverse result and convergent speed would be improved. Meanwhile,we combine the regularization and the fast simulated annealing algorithms,and make the regular parameters play its full role. This method can acquire a global optimum result and gain good applied effect.