本文根据概率统计理论和开采条件,提出了层状随机介质理论。由覆岩各层移动与变形的分布,导出了移动盆地边缘部分的移动与变形的分布。这些移动与变形分布的不同情况,可归纳为惠泰克(Whittaker)函数的统一形式。从估值理论出发,讨论了各种分布函数的参数估计方法,并给出了实例。 Based on the theory of probability statistics and mining conditions, this paper proposes a layered random medium theory. The distribution of movement and deformation of each layer of the overlying strata resulted in the distribution of the movement and deformation of the edge of the moving basin. The difference between these distributions of displacement and deformation can be summarized as a unified form of the Whittaker function. Starting from the valuation theory, the parameter estimation methods for various distribution functions are discussed and examples are given.