Multiresolution analysis for permeability reconstruction using wavelet

Jung-Kyun Cho, Seung‐Bae Park, Chang‐Hwan Lee, Hyung-Kyo Jung, Song–Yop Hahn, Chang-Seop Koh · IEEE Transactions on Magnetics · 1999

This paper presents a technique for solving the inverse problem using multiresolution analysis. For any real problem in modeling, the quality and quantity of available data are very limited. It is impossible to identify a distributed parameter with infinite or very large freedom. So, multiresolution analysis is proposed in order to obtain a good estimation of the permeability profile with a limited number of unknown parameters. The permeability variations are supposed to be localized spatially and spanned with wavelet bases. Some simulation results show the feasibility of this method.

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