摘要
探讨了用ＮＭＲ方法求解多孔固体孔径分布中有关病态积分方程的求解问题，借助于数理统计中的逐步回归分析，加入非负限制，给出了一个新的求解方法。这种方法数值上很稳定，计算量小，可以给出较为连续的ｆ（Ｔ１）分布曲线，并采用岭回归和Ｈｅｓｓｅ光滑方法抑制噪声的影响。从所给出的计算实例看出，这种方法有一定的优越性。
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.
出处
《北京科技大学学报》
EI
CAS
CSCD
北大核心
1994年第6期586-591,共6页
Journal of University of Science and Technology Beijing
关键词
NMR
病态方程
孔径
逐步回归法
stepwise regressions
nuclear magnetic resonance/ill-conditioned equation
