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Title:: Comparison of Borehole Data-based Interpolations in 3D Spatial Terrain Modeling

作者:: 刘娜¹; 谢英情¹; 楚亮²; 毛燕¹; 闵照旭¹; (1.云南省地震局,昆明 650224,2.徐州国测测绘信息服务有限公司,江苏徐州 221006)

Author(s):: LIU Na¹; XIE Ying-qing¹; CHU Liang²; MAO Yan¹; MIN Zhao-xu¹; (1.Earthquake Administration of Yunnan Province,Kunming 650224,Yunnan,China)(2.Guoce Surveying and Mapping Information Service Co.,Ltd.,Xuzhou 221006,Jiangsu,China)

Keywords:: borehole; geological curved surface; spatial interpolation method; applicability

摘要:: 在钻孔分布合理的条件下,利用钻孔数据对地层进行插值重构是正确认识地质构造的重要手段,选取合理、有效的插值方法是保证空间地质建模质量的根本。通过对最小二乘法、三角剖分法和克里金法等几种常用插值重构方法的阐述和数值实验,对云南中部地区地质钻孔数据进行了处理,在253个钻孔中随机抽取90余个样本点进行了比较:三角剖分插值算法及最小二乘距离加权插值算法是全局插值拟合方法,当增加、修改和删除数据点时均需重新计算权函数或线性方程组的解,算法的稳定性和效率都明显下降,可在不追求精度时选用; 而克里金插值法是局部插值方法

Abstract:: Under the rational distribution of boreholes,using interpolation method to reconstruct terrain based on borehole data is an important way to correctly understanding geological structure.A reasonable and effective interpolation method is the foundation to ensure the quality of geological modeling.We discuss and test several interpolation methods in common use,including least square method,triangulable interpolation and Kriging interpolation.Through comparing 90 of 253 samples of processed geological drilling data in certain area,we find that as for triangulable interpolation and least square distance-difference method,because they are global interpolating fitting,when a data point is added,edited or deleted,it is necessary to re-compute weight functions or the solutions of linear equation group,the stability and efficiency will all drop.So these two methods can only be used in low-precision computation.While triangulable interpolation is a local interpolation method,which avoids the defects of global interpolation methods,so can be used in high-precision computation.