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沃尔什（Ｗａｌｓｈ）函数法首先将地层物理量展开成沃尔什级数，其次利用线性模型参数估计法由测井曲线和响应方程估计出展开系数，进而求出地层物理量的真值．本文介绍了该方法的原理、参数估计和误差控制的方法，并对深感应测井的模型数据和实际资料进行了试算，获得了满意的效果．该方法具有３个特点：１．使常规测井曲线的垂向分辨率提高到两个深度采样间隔（０．２５ｍ）；２．反演结果的误差不超过反演前数据本身的误差；３．无需迭代算法，处理资料速度快．
The Walsh function method first expands the physical quantities into the Walsh series, and then estimates the expansion coefficients from the well logging curves and response equations using the linear model parameter estimation method to obtain the true values of the physical quantities of the strata. This paper introduces the principle of the method, the parameter estimation and the method of error control. The model data and the actual data of the deep induction logging are calculated and the satisfactory results are obtained. The method has three characteristics: 1. Increase the vertical resolution of conventional well logs to two depth sampling intervals (0.25m); The error of the inversion result does not exceed the error of the data before inversion. 3. Without iterative algorithm, processing data faster.