优化后的克里格空间插值法在土方平衡中的应用
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摘要
土方平衡是施工场地竖向规划中的一项重要内容,土方量的精确度是直接影响工程造价控制与施工组织的关键,为了提高对土方量的计算精度,达到土方挖填平衡的目的,本文提出对普通克里格空间插值法进行优化。在普通克里格空间插值法基础上,就标高和克里格权重两个关键因子对克里格空间插值法进行理论优化,通过Matlab数值模拟,将优化后的克里格空间差值法与未优化的克里格空间差值法进行误差对比,研究表明,较于传统土方计算理论及未优化的克里格空间插值法理论,无论是计算精度还是计算效率,优化后的克里格空间插值法理论均更高。最后以广西百色某学院整体规划项目的土方调配工程为例,基于优化后的克里格空间插值法,通过Matlab数值模拟计算得出各楼块理论土方挖、填方量和最优土方调配方案。
Earthwork balance is an important part of the vertical planning of the construction site. The accuracy of the earthwork volume is the key to directly affecting the control and construction organization of the project cost. In order to improve the calculation accuracy of the earthwork volume,the purpose of earthwork excavation and filling balance is achieved. This paper proposes to optimize the ordinary Kriging space interpolation method. Based on the ordinary Kriging space interpolation method,the Kriging space interpolation method is theoretically optimized based on two key factors:elevation and Kriging weight. The optimized Kriging space difference method is simulated by Matlab numerical simulation. The error is compared with the unoptimized Kriging space difference method.The research shows that compared with the traditional earthwork calculation theory and the unoptimized Kriging space interpolation theory,whether it is calculation accuracy or computational efficiency,the optimized Kriging space interpolation theory of law is higher. Finally,taking the earthwork allocation project of the overall planning project of a school in Guangxi Baise as an example,based on the optimized Kriging space interpolation method,the theoretical method of earthwork excavation,filling and optimal earthwork allocation in each building is obtained through Matlab numerical simulation.
Earthwork balance is an important part of the vertical planning of the construction site. The accuracy of the earthwork volume is the key to directly affecting the control and construction organization of the project cost. In order to improve the calculation accuracy of the earthwork volume,the purpose of earthwork excavation and filling balance is achieved. This paper proposes to optimize the ordinary Kriging space interpolation method. Based on the ordinary Kriging space interpolation method,the Kriging space interpolation method is theoretically optimized based on two key factors:elevation and Kriging weight. The optimized Kriging space difference method is simulated by Matlab numerical simulation. The error is compared with the unoptimized Kriging space difference method.The research shows that compared with the traditional earthwork calculation theory and the unoptimized Kriging space interpolation theory,whether it is calculation accuracy or computational efficiency,the optimized Kriging space interpolation theory of law is higher. Finally,taking the earthwork allocation project of the overall planning project of a school in Guangxi Baise as an example,based on the optimized Kriging space interpolation method,the theoretical method of earthwork excavation,filling and optimal earthwork allocation in each building is obtained through Matlab numerical simulation.
引文
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[19]宋杰,张亚栋,王孟进,等.Revit与ANSYS结构模型转换接口研究[J].土木工程与管理学报,2016,33(1):79-84.
[20]Zhang T,Xu X S,Xu S B.Method of establishing an underwater digital elevation terrain based on kriging interpolation[J].Measurement,2015,63:287-298.
[2]朱武.土方量计算模型和计算方法[J].交通世界,2011,(13):119-120.
[3]桂小梅.等高线在组建特殊地貌土方计算数据库中的应用[J].地理空间信息,2012,10(1):151-152.
[4]罗德仁,邹自力,汤江龙.工程土方量计算比较分析[J].东华理工学院学报,2005,28(1):59-64.
[5]何晗芝.工程土方量计算方法优化分析及其程序实现的研究[D].长沙:湖南大学,2009.
[6]孙波,宋歌,曹尧东.丘陵区水稻土Cu污染空间变异的协同克里格分析[J].农业环境科学学报,2009,28(5):865-870.
[7]刘今朝,马杰.基于Arc GIS普通克里格插值在土地平整土方量计算中的应用[J].农业工程,2013,3(2):50-55.
[8]陈欢欢.分形克里格插值的原理方法及应用---以紫金山矿区矿山储量计算为例[D].武汉:中国地质大学(武汉),2008.
[9]张超,王秀茹,郭晓辉,等.平原区土地整理中的土方量计算方法比较[J].水土保持研究,2008,15(3):84-87.
[10]Gutierrez J B,Lai M J,Slavov G.Bivariate spline solution of time dependent nonlinear PDE for a population density over irregular domains[J].Mathematical Biosciences,2015,270:263-277.
[11]Lee D T,Schachter B J.Two algorithms for constructing a Delaunay triangulation[J].International Journal of Computer and Information Sciences,1980,9(3):219-242.
[12]Van Kreveld M,L9ffler M,Silveira R I.Optimization for first order Delaunay triangulations[J].Computational Geometry,2010,43:377-394.
[13]韩富江,潘胜玲,王德刚,等.基于标准差准则的海底三维地形模型构建[J].海洋通报,2011,30(6):674-678.
[14]顾春雷,杨漾,朱志春.几种建立DEM模型插值方法精度的交叉验证[J].测绘与空间地理信息,2011,34(5):99-102.
[15]Rezaee H,Asghari O,Yamamoto J K.On the reduction of the ordinary kriging smoothing effect[J].Journal of Mining and Environment,2011,2(2):102-117.
[16]Yamamoto J K.Correcting the smoothing effect of ordinary kriging estimates[J].Mathematical Geology,2005,37(1):69-94.
[17]俞集辉,孟庆福.线性有限元计算的外推插值法[J].电工技术学报,1995,(3):37-42.
[18]李明博,蒋雅君,刘小俊,等.BIM技术在运营隧道病害检测结果三维可视化中的应用[J].中外公路,2017,37(1):297-301.
[19]宋杰,张亚栋,王孟进,等.Revit与ANSYS结构模型转换接口研究[J].土木工程与管理学报,2016,33(1):79-84.
[20]Zhang T,Xu X S,Xu S B.Method of establishing an underwater digital elevation terrain based on kriging interpolation[J].Measurement,2015,63:287-298.