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《Well Logging Technology》 2002-06
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On High Resolution Inversion of NMR Logging Data.

Weng Aihua, Li Zhoubo, Mo Xiuwen, Lu Jingan.  
Traditionally, comb function sampling method is used to get a linear equation set for T 2 distribution at discrete T 2 points when transforming NMR logging data into T 2 distribution. In the inversion technique presented here, to form a linear system of equations, T 2 distribution is parameterized by piecewise function over continuous sampling intervals. The elements of the coefficient matrix of the new linear system are calculated with Legendre-Gauss quadrature rule. And the linear system of equations, under the nonnegative and minimum energy constrains, is then solved by introducing a projection operator and singular value decomposition technique. Numerical results show that the new system is much more stable than traditional method. And the analysis of parameter resolution matrix of the two methods shows that the new method is of higher resolution than the old one. Inversion results of synthetic and real data are consistent with the above theoretical analysis.
【Fund】: 国家自然科学基金项目 (No.498740 2 8)
【CateGory Index】: P631.8
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