时空Kriging插值在边坡变形监测中的应用

边坡形变监测中的监测点布设受限现场条件,布设位置可能不尽合理且数量有限,监测区域数据处理时需要进行时空插值。将经典的Kriging空间插值进行时空扩展,利用时空一类积和式方法建立了时空变异函数模型;分析了参数与变形的之间的关系;给出了时空插值的计算方法。以平朔露天矿边坡监测为实验对象,将整体时空Kriging插值与单一的Kriging空间插值结果进行对比分析,结果表明,同时兼顾了时间与空间关联性的时空Kriging插值精度有所提高。将监测区进行网格化,初步建立了监测区域的三维动态形变场模型,从整体上分析了边坡的稳定性。

Slope deformation analyses with space-time Kriging interpolation method

Slope deformation analyses based on monitoring points are unscientific because of limited monitoring points and unreasonable layout.Therefore，the interpolation of deformation information from monitoring points is very necessary.In this paper，the space-time Kriging interpolation was used to analysis slope deformation in Pingshuo Open-pit Mine instead of classic Kriging interpolation.The space-time variograms function using the space-time of 2D product-sum method was established，and the relationship between the main parameters of the model and the deformation was analyzed.The results show that the accuracy of space-time Kriging interpolation is satisfactory when the temporal-spatial relevance is considered.Accordingly，the dynamic deformation models were established based on the grid points of the monitoring area.The models are important for the analysis of slope stability from the regional scale.