波动方程多尺度反演  

Multi-scale inversion of wave equation.

作　　者：李清仁[1] 张向君 易维启 惠山 钱凤章 

机构地区：[1]青岛中国海洋大学地球科学学院,266003 [2]大庆地球物理勘探公司 [3]中油股份勘探与生产分公司 [4]大庆石油国际工程公司

出　　处：《石油地球物理勘探》2005年第3期273-276,共4页Oil Geophysical Prospecting

摘　　要：本文基于多尺度反演思想提出波动方程多尺度反演方法。该方法的基本思路是:对反演的目标函数进行多尺度分解,在每一尺度下利用正则化方法反演求解,克服了反演问题的不适定性,获得全局最优解,使得反演结果的分辨率和保真性得到提高。本文利用小波变换实现多尺度反演,并且是先通过在大尺度上反演得到一个比较好的参数估计,再将此估计作为较小尺度的初值进行反演,直至获得全局最优解。文中的应用实例说明了该方法具有对初始模型依赖性低、收敛速度快、反演结果稳定的优点。Based on the multi-scale idea, the paper presented a method of multi-scale inversion of wave e-quation. The basic ideas of the method are as follows : multi-scale decomposition of inverted objective function and inversion is conducted by using normalization method under each scale,which overcome the ill-posedness of inversion problem, acquired global optimum solution and improved resolution and hi-fi of inverted results. The paper uses wavelet transform to conduct multi-scale inversion. The better estimation of parameters is acquired first by inversion in large scale,then the estimated values are taken as initial values in smaller scale to invert until the global optimum solution is obtained. The application cases showed that the method has advantages of low dependence on initial model, rapid convergent speed and stable inverted results.

关 键 词：多尺度反演 波动方程 全局最优解 正则化方法 多尺度分解 反演方法 目标函数 基本思路 不适定性 反演问题 小波变换 参数估计 初始模型 应用实例 收敛速度 保真性 分辨率 小尺度 大尺度 依赖性 初值 

分 类 号：P631.443[天文地球—地质矿产勘探] O242.23[天文地球—地质学]