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根据离散地层模型中物理量变化的特点，本文提出用沃尔什（Walsh）函数描述这些物理量的新方法。文中给出了两个定义和四个定理，研究了一维、二维和三维离散地层模型的沃尔什函数描述法，并给出了一维模型的描述实例。理论研究和实例计算结果表明，在地层物理量为分层常数或分块常数的条件下，沃尔什函数描述法能有效地减少描述参数的个数，这对离散反问题的求解十分有利
According to the characteristics of the physical quantities in discrete stratum model, this paper presents a new method to describe these physical quantities by the Walsh function. In this paper, two definitions and four theorems are given. The Walsh function description method of one-dimensional, two-dimensional and three-dimensional discrete stratum models is studied and a one-dimensional model is given. The results of theoretical research and case studies show that the Walsh function description method can effectively reduce the number of descriptors under the condition that the stratum physical parameters are stratified constants or block constants. This is very advantageous for the discrete inverse problem