摘要
通过层间递推公式将多层层体矿压和岩层移动的计算简化为类似中间为开采煤层、上覆有限厚顶板、下伏半无限体底板的三层问题的计算问题。用直积定理将已采煤层与顶底板接触的弹性力学混合边值问题化为多元联立奇异积分方程组的求解的数学问题，并通过证明的特殊类型积分方程的解的基本定理求出了这一方程的解。从而将多层层体矿压与岩层移动的计算归结为小体积矩阵的运算和二重Ｆｏｕｒｉｅｒ积分逆变换的数值计算问题。这是一般微型机都能实现的计算问题，计算费用也将大幅度地减少。
The method for calculating multi-strata ground pressure and rock movement is simplified through inter-stratum recursion formula into a three-strata problem with a coal seam in the middle which is overlain by a finite thick roof and under-lain by a semi finite floor.By using direct product theorem a elastic mechanical mixed boundary value problem of a mined coal seam contacting the roof and floor is changed into a multiple variate simultaneous singular integral equation system.The solution of these equation system is obtained based on the proven basic theorem of solution of special type of integral equation.Thus the calculation of multi-strata ground pressure and rock movement is summarized into an operation of a small matrix and into a calculation of double Fourier integral inverse transformation.This can be done by a general microcomputer.And the cost is also greatly decreased.
出处
《煤炭学报》
EI
CAS
CSCD
北大核心
1994年第2期109-121,共13页
Journal of China Coal Society
基金
煤炭科学基金
关键词
矿山压力
岩层移动
三维层体模型
ground pressure,rock strata movement,3D laminated model,integral transformation,integral equation
