基于Mathematica的任意形状工作面离散化和沉陷预测

Subsidence Prediction and Discretization of Arbitrary-shape Working Face Based on Mathematica

基于判断点是否在多边形内部的算法,将任意形状工作面离散化为若干开采单元。根据影响函数法计算开采沉陷的原理,叠加所有单元开采的影响,得到整个工作面开采的地表沉陷。在Mathematica中,将沉陷数据组织成列表形式,用绘图函数绘制等值线图和三维曲面图,直观反映沉陷形态。使用Mathematica软件,可以简化开采沉陷计算程序,且成图效果好。

Based on the algorithm of judging the position relation between a point and a polygon, a working face in arbitrary shape can be discretized into several mining elements. Then, on the basis of influence function method, the subsidence induced by a working face can be calculated by supervising all the element subsidence. In the software of Mathematica, the computed subsidence data are organized in the form of list, and can be output in the figures of iso-contours and 3D surfaces by using the plotting functions. Employing Mathematica in subsidence computation makes the programing easier and the display better.