摘要
地表的水平变形、倾斜和曲率是评价场地变形情况和划分移动界限的重要指标。地表上一点的变形值随方向而变化,然而传统的剖面法则是沿剖面方向计算地表变形,因此不仅有可能低估了地表变形值,也难以获得变形等值线图。将地表离散成规则的网格,基于最小二乘法并利用相邻节点位移信息计算节点的水平变形矩阵、倾斜向量和曲率向量。最后通过形函数插值获得整个地表的变形场。案例表明,该方法能够准确地获得地表每点的最大变形值和方向,并易于形成变形等值线图。由此可见,本方法克服了传统剖面法缺点,为有效地评价地下矿山开采引起的地表移动提供手段。
The horizontal deformation,incline and curvature of the ground are the important indexes for evaluating ground deformation and determining the limit of the ground movement. The deformation indexes of ground surface varies with direction,however the traditional section method which calculates deformation indexes along strike of section,is not only possible to underestimate the surface deformation,but also difficult to get the contour map of the ground deformation. The ground is discrete to structural grid firstly; then,the horizontal deformation matrix,incline vector as well as curvature vector of each node in grid can be calculated according to the displacement information of neighbor nodes based on least square method; finally,the deformation fields of the whole ground can be obtained by shape function interpolation to the nodes. Examples show that this method can obtain the maximum deformation value and its direction of each ground point,and form the deformation contour map conveniently. It follows that the method overcomes the shortcoming of the section method,and provides a reasonable and effective means for evaluation of the surface movement caused by underground mining.
出处
《金属矿山》
CAS
北大核心
2016年第10期155-160,共6页
Metal Mine
关键词
地表变形
最小二乘法
移动界限
水平变形
倾斜
曲率
Ground deformation
Least square method
Limit of movement
Horizontal deformation
Incline
Curvature
