任意形状工作面沉陷预计计算方法

为弥补现有任意形状工作面沉陷预计计算方法存在的不足，更加准确地预计煤炭开采引起的地表移动和变形，基于概率积分法理论，将工作面按照角点划分为若干梯形，再利用变步长Simpson二重积分法在各梯形区域按预计公式进行积分计算，最后将各梯形单元产生的影响进行叠加处理，实现了任意形状工作面的沉陷预计计算。另外，通过研究拐点偏移距对工作面位置的影响，探讨了任意形状工作面实际计算边界角点坐标的解算方法。在此基础上设计、开发了开采沉陷预计程序，实现了地表移动变形预计、预计结果分析及可视化输出。以某矿区实际开采工作面为例，对计算方法及预计程序进行了验证。结果表明：程序设计合理，预计结果准确可靠，符合实际情况，能够满足大范围沉陷预计的需要，可为“三下”采煤、土地复垦规划提供必要的技术支持。

Mining Subsidence Prediction Calculation Methods of Random Shape Working Face

In order to make up for the shortage in mining subsidence prediction calculation methods of existing random shape working face，and more accurately predict the value of surface movement and deformation caused by coal mining，the working face is divided into several trapezoids according to corners based on the theory of probability integral method.The variable step-size Simpson double integral method is adopted to conduct the integration in every trapezoidal region according to the prediction formula，and deal with the effects which were produced by every trapezoidal unit to realize the subsidence prediction calculation of random shape working face through superposition method.In addition，through the study of inflection point displacement effect on the working face position，the solution method for actually calculating angular coordinate at boundary of the random shape working face is discussed.On this basis，the mining subsidence prediction program is designed and developed，realizing prediction of surface movement and distortion，analysis of prediction results and visual output.The actual mine working faces in a mining area was taken as a case to verify the calculation method and prediction program.The results showed that the program design is reasonable，and the prediction result is accurate and reliable，and accords with the fact.It can meet the needs for a wide range of subsidence prediction and provide the necessary technical support for “under three” coal mining and land reclamation planning.