Tikhonov正则化方法在测井反演中的应用

Tikhonov Regularization Method for the Inverse Problems in Well Logging

地球物理测井的反演问题受到人们的广泛重视,然而大多数反演问题具有不适定性,需要高效的不适定问题解法和相应的数值算法。讨论了地球物理反演问题中的第一类算子方程的解法,基于Tikhonov正则化思想,给出了详细的理论分析和算法描述。该方法旨在提高老井测井资料信息的有效性,改善了老油区测井二次解释精度。

The inverse problem in geophysical logging ha s broadly attracted our attention in recent years. The high performance solving process and corresponding numeric algorithm are needed in practice since the il l posedness of most inverse problems has been considered. This article studies solution of the first kind of operator equation and makes theoretical analysis a nd algorithm in detail. It is based on Tikhonov regularization method and effec tively enhances the validity of the information of old wells and improves the re interpretation precision of old oil fields. This method has great engineering p ractice value.