基于数值积分法的地下开采地表变形预测算法

Prediction Algorithm of Surface Deformation in Underground Mining Based on Numerical Integration Method

为降低地表变形中竖向位移与水平位移的预测误差,提出基于数值积分法的地下开采地表变形预测算法。根据数值积分法的基本原理,计算地表下沉值、倾斜状况、剪切值、曲率以及竖向位移与水平位移,并依据该算法旋转调整坐标系,同时调整拐点中存在的偏距问题,使理论坐标系旋转为现实开采中的坐标系。结合计算得到的地表变形参数,采用剖面线填充算法分割地表变形作业面,并将分割后的作业面转化为一系列的小矩形,通过叠加小矩形的形式,实现地表变形的预测。经实验验证:上述算法预测地表下沉值、曲率值与倾斜值均与实际结果较为接近,且对不同开采深度与开采宽度的地表水平位移、地表竖向位移预测结果与实际值十分接近,未出现较大误差。

In order to reduce the prediction error of vertical displacement and horizontal displacement in ground deformation, this paper puts forward an algorithm to predict the ground deformation of underground mining based on numerical integration method. According to the principle of numerical integration method, the surface subsidence, gradient, shear value, curvature, vertical displacement and horizontal displacement were calculated, and the coordinate system was rotated and adjusted. Meanwhile, the offset distance existing in the knee point was adjusted, so that the theoretical coordinate was rotated into the coordinate system in the actual mining. Then the ground deformation parameters were obtained by combining with the calculation. The section line filling algorithm was used to segment the working surface of ground deformation, and then the segmented working surface was transformed into a series of small rectangles. Finally, the ground deformation was predicted by superimposing these rectangles. Experimental results prove that the surface subsidence, curvature and inclination value predicted by the proposed algorithm are close to the actual results;In addition, the predicted values of horizontal displacement and vertical displacement of the ground with different mining depth and width are very close to the actual values, without any large error.