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概率积分法是煤矿开采沉陷预测的重要方法,可适用于缓倾斜、倾斜煤层开采地表移动分布曲线符合正态分布规律的地表移动和变形计算。针对原方法对任意形状工作面存在的不足,在原有走向和倾向概率积分函数的基础上,以走向和倾向为基准划分积分函数区域,在该区域内剖分非结构化的三角形单元作为二重积分的基本单位;通过坐标旋转变换的二重积分换元法,转化为以直线为上、下限的二重积分,计算旋转后的影响半径,对新的二重积分采用复合辛普森数值积分公式,积分得出地表任意点在基本三角形开采单元下的积分下沉值;最后,通过叠加计算完成任意点、任意形状工作面概率积分法的沉陷预测计算。算法在GIS系统下实现,实例应用效果良好,可为“三下”采煤提供地表移动预测计算的支持。
Probability integration method is an important method for prediction of subsidence in coal mining. It can be applied to surface movement and deformation calculation of surface movement distribution curve that meets the normal distribution law in gently inclined and inclined coal seam mining. Aiming at the shortcomings of the original method on any shape of working face, based on the original trend and propensity integral function, the integral function region is divided on the basis of the trend and the tendency, and the unstructured triangular unit is divided into two parts The integral unit of the integral is converted into a double integral with the upper and lower limits of the line by the double integral conversion method of coordinate rotation transformation to calculate the radius of influence after rotation. The complex Simpson numerical integration formula is used for the new double integral, Integral points are obtained for the integral subsidence value of arbitrary point on the surface of the basic triangle mining unit. Finally, the subsidence prediction calculation of arbitrary shape and face probability integration method is completed by superposition calculation. The algorithm is implemented under the GIS system, and the application of the example is effective, which can provide the support of surface movement prediction calculation for “three times” coal mining.