区域土特征函数:收敛性

Characteristic functions of regional soils:convergence

无论从一个地区内建立N-s_(v)关系曲线的工程应用角度还是作为区域土特征理论的必要组成部分,构建科学的N-v_(s)函数所需的数组量都是重要问题,但以往研究为空白。采用实测数据的随机分析,研究不同样本数量下N-v_(s)特征函数的稳定性和收敛性,并提出构建不同精度N-v_(s)特征函数的数组阈值。实测数据来源于4个国家9个地区,共11个工况,对此分别进行随机分析的结果表明,随样本数量增加,N-v_(s)特征函数具有稳定性与收敛性。研究表明,一个地区内取N-v_(s)数组超过50,100,200和800,则可分别得到变异系数小于0.2,0.15,0.10和0.05的N-s_(v)特征函数。

Whether from the perspective of engineering application of establishing N-sv relationship curve in a region or as an essential part of regional soil characteristic theory,the number of arrays required for constructing scientific-N-v_(s) function is an important problem,but this issue has not been involved before.The stability and convergence of-N-v_(s) characteristic functions under different sample numbers are studied by using the random analysis of measured data,and the array thresholds for constructing-N-v_(s) characteristic functions with different precisions are proposed.The measured data come from 9 regions in four countries,and there are 11 working conditions in total.The results of random analysis show that the-N-v_(s) characteristic function is stable and convergent with the increase of the number of samples.The research shows that if the-N-v_(s) array exceeds 50,100,200 and 800 in a region,the-N-v_(s) characteristic functions with coefficients of variation less than 0.2,0.15,0.10 and 0.05 can be obtained respectively.