最小二乘法在地质测量中的应用

Application of Least Square Method in Geological Survey

随着勘探技术的不断发展,矿区前期测量工作在矿产开发运用中显得尤为重要。为使理论数据与实际数据进一步逼近,以提高精确度、减小数据误差,收集矿区地表平面图形、开采量、开采率等多类图纸和数据,为地表平面图形、体积和开采量的变化构造坐标系。采用最小二乘法来整理收集到的多类数据,再由MATLAB编程输出散点图。以幂指数拟合方式输出多个拟合曲线,选取最佳拟合函数,进而通过拟合函数,运用定积分求解不规则地表平面图形的面积。对新矿区数据做预测,匹配相应的拟合函数,计算相应开采数据,为新矿区的开采提供精确的数据支撑和保证。通过模拟实验,证明此方法实际可行。

With the continuous development of exploration technology,the preliminary survey work in mining areas is particularly important in the development and application of minerals.In order to further approximate the theoretical data with the actual ones,to improve the accuracy and reduce the data error,various kinds of drawings and data such as surface plane figure,mining volume and mining rate of the mining area are collected,and a coordinate system is constructed for the changes of surface plane figure,volume and mining volume.The least square method is adopted to sort out the collected multi-type data,and the scatter plot is output by MATLAB programming.The power exponential fitting method is used to output a plurality of fitting curves,the best fitting function is selected,and then the definite integral is used to solve the area of the irregular surface plane graph through the fitting function.The data of the new mining area are predicted bying matching the corresponding fitting function and calculating the corresponding mining data,that provide accurate data support and guarantee for the mining of the new mining area.The simulation experiment proves that this method is practical.