Liu Tao, Xu Zuxiong, Ma Ruzhang, Li Zhijuan. NMR Technique for the Analysis of Pore Distribution in Porous Solid:The Stepwise Regression Method[J]. Chinese Journal of Engineering, 1994, 16(6): 586-591. DOI: 10.13374/j.issn1001-053x.1994.06.017
Citation: Liu Tao, Xu Zuxiong, Ma Ruzhang, Li Zhijuan. NMR Technique for the Analysis of Pore Distribution in Porous Solid:The Stepwise Regression Method[J]. Chinese Journal of Engineering, 1994, 16(6): 586-591. DOI: 10.13374/j.issn1001-053x.1994.06.017

NMR Technique for the Analysis of Pore Distribution in Porous Solid:The Stepwise Regression Method

  • In view of the multivariate regression analysis,astepwise regression analysis method with non-negative constraint to solve the ill-posed integral equation is proposed,which is required in NMR technique for the analysis of pore structure.This method is numerically stable,easy to implement with less calculations,and a more continuous distribution f(T1) can be obtained.Two ways to reduce the effect of noise are suggested:Marquardt method and the smooth approach proposed by Hesse.From the results of the computed examples this method works quite well.
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