半变异函数计算波动范围的方法研究  

Study of calculation method of the range of fluctuation using semi-variation function

作　　者：杨阳 李飒[1] 孙立强[1] 刘小龙[2] 陈文炜[2] YANG Yang;LI Sa;SUN Liqiang;LIU Xiaolong;CHEN Wenwei(School of Civil Engineering,Tianjin University,Tianjin 300072,China;China Ship Scientific Research Center,Wuxi 214100,China)

机构地区：[1]天津大学建筑工程学院,天津300072 [2]中国船舶科学研究中心,江苏无锡214100

出　　处：《武汉大学学报（工学版）》2021年第7期618-626,共9页Engineering Journal of Wuhan University

基　　金：工信部高技术船舶科研项目(编号:工信部[2016]22);国家自然科学基金重点项目(编号:51239008,51379145)。

摘　　要：波动范围是进行岩土工程可靠性设计的重要参数,目前确定波动范围的多种方法中,半变异函数法因其参与计算的有效范围广、数据需求量小,更便于在实际问题中得到应用,但在计算过程中半变异函数时常表现出一定的不稳定性。利用波动函数法、相关函数法和半变异函数法,基于Mason公路静力触探试验(cone penetration test,CPT)数据,对竖向波动范围进行计算,通过理论分析和计算结果对比发现,主要是由于数据拟合方法导致半变异函数法计算结果出现不稳定的现象。为有效解决此问题,提出逐次增加拟合点的方法来实现实验半变异函数点的自动拟合,该方法可有效避免由于数据变异性的差异所导致的固定实验函数点数目的计算结果不稳定,得到了更加合理的计算结果。结果显示,采用改进拟合方法后,用3种方法计算得到的波动范围值基本相等。The range of fluctuation is one of the important parameters for reliability design of geotechnical engineering.At present,there are many methods to determine the range of fluctuation,among which the semivariation function method is more convenient to be used in practical problems because of its wide effective range and small data requirement, but in the process of calculation it often shows instability.Based on Mason highway cone penetration test(CPT)data,the vertical fluctuation range is calculated by using wave function,correlation function and semi-variation function. Through calculation results comparison and theoretical analysis,it is found that the instability of the semi-variation function is mainly caused by the data fitting method.To solve the problem,an improved method of successive increasing fitting point to achieve automatic fitting is put forward, which can effectively avoid the instability of calculation results caused by different number of experimental function points due to the difference of data variability, and make results more reasonable.According to the result, the ranges of fluctuation obtained by three methods are similar after adopting the improved fitting method.

关 键 词：随机场 波动范围 半变异函数 拟合方法 

分 类 号：TU43[建筑科学—岩土工程]