曲线拟合与插值模型在矿区变形预测中的应用

Application of curve fitting and interpolation model in deformation forecast of a mining area

本文针对某矿井下开采地表移动变形数据,运用MATLAB编程技术分别建立了地表变形三次样条插值模型与最小二乘曲线拟合模型,并对两种模型的预测精度进行了比较分析,由实测数据通过计算得出结果。结果表明,这两种模型在相对平稳的变形中基本都能满足变形预测的要求,三次样条插值模型的预测精度要比最小二乘曲线拟合模型高,其中在选定的三种最小二乘曲线拟合模型中,四次曲线拟合模型的预测精度最高。

Based on the deformation data of a coal mine surface movement,this paper respectively establishes the cubic spline interpolation model and curve fitting in least-square model using MATLAB programming,and compares the prediction accuracy of the two models.After the comparison,the result shows that the two models can meet the request for deformation monitoring,prediction accuracy of the cubic spline interpolation model is more higher than that of the curve fitting in least-square model,and the fourth curve fitting model possesses the highest prediction accuracy among the selected three kinds of least squares curve fitting models.