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袁宁，聂小春，聂在平．自然电位测井的定量分析与应用研究．测井技术，１９９９，２３（１）：９～１４利用高效的数值模式匹配理论（ＮＭＭ）对自然电位测井响应进行了严格的数值模拟。首先根据自然电位的成因建立了任意轴对称二维非均匀介质结构下自然电位测井的分析模型，然后利用数值模式匹配理论求解出δ环电极的位场格林函数，再根据偶极层激励条件和场的迭加原理求出任意点的自然电位测井响应。利用以上方法定量分析了诸如地层水和泥浆滤液含盐浓度、地层厚度、井径、侵入带等因素对自然电位测井响应的影响，研究了测井界广为关注的水淹油层问题，并制作出了可直接由响应反演地层水电阻率的ＳＰ－Ｒｍｆ／Ｒｗ解释图版。
Yuan Ning, Nie Xiaochun, Nie Zai Ping. Quantitative Analysis and Application of Natural Potential Logging. Logging Technology, 1999,23 (1): 9-14 The natural numerical logging response has been rigorously simulated by using efficient numerical mode matching theory (NMM). Firstly, according to the origin of natural potential, the analytical model of natural potential well logging under any axisymmetric two-dimensional inhomogeneous medium structure is built. Then the Green’s function of the potential field of δ ring electrode is solved by numerical mode matching theory. And field superposition principle to find the natural point at any point of the well logging response. The above methods were used to quantitatively analyze the effects of salt concentration, formation thickness, well diameter and intrusion zone on the response of natural potential well logging, such as formation water and mud filtrate, The SP-Rmf / Rw interpretation chart, which directly reflects the formation water resistivity from the response, was produced.