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

Liu Tao; Xu Zuxiong; Ma Ruzhang; Li Zhijuan

doi:10.13374/j.issn1001-053x.1994.06.017

Volume 16 Issue 6

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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

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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

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

doi: 10.13374/j.issn1001-053x.1994.06.017

1. Department of Material Physics, USTB, Beijing 100083, PRC;
2. Department of Physics, Tianjing University, Tianjing 300027, PRC

Received Date: 1993-12-20
Available Online: 2021-11-13

Abstract

Abstract

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.
- stepwise regressions,
- nuclear magnetic resonance/ill-conditioned equation