基于统计理论的青海河南县地区5种草本植物根系力学特性研究  

STATISTICS OF MECHANICAL CHARACTERISTICS OF FIVE HERB ROOTS STANDING IN HENAN REGION OF QINGHAI PROVINCE

作　　者：付江涛 李晓康[2] 刘昌义[3] 余冬梅[4] 鲁秋菊[2] 孟宏睿[1] 胡夏嵩[3] FU Jiangtao;LI Xiaokang;LIU Changyi;YU Dongmei;LU Qiuju;MENG Hongrui;HU Xiasong(School of Civil Engineering and Architecture,Shaanxi University of Technology,Hanzhong 723000,China;School of Mathematic and Computer Science,Shaanxi University of Technology,Hanzhong 723000,China;Department of Geological Engineering,Qinghai University,Xining 810016,China;Qinghai Institute of Salt Lakes,Chinese Academy of Sciences,Xining 810008,China)

机构地区：[1]陕西理工大学土木工程与建筑学院,中国汉中723000 [2]陕西理工大学数学与计算机学院,中国汉中723000 [3]青海大学地质工程系,中国西宁810016 [4]中国科学院青海盐湖研究所,中国西宁810008

出　　处：《工程地质学报》2020年第6期1147-1159,共13页Journal of Engineering Geology

基　　金：陕西教育厅专项基金(资助号:18JK0172,18JK0141,2013JK0987);青海省自然科学基金项目(资助号:2020-ZJ-906);陕西理工大学人才启动基金(资助号:SLGQD2017-02);教育部长江学者和创新团队发展计划资助(资助号:IRT_17R62).

摘　　要：为合理定量评价草本植物根径、抗拉力和抗拉强度等指标分布特征,本研究选取生长于青海河南县地区的黄花棘豆(Oxytropis ochrocephala)、早熟禾(Poa annua)、紫花针茅(Stipa purpurea)、青藏苔草(Carex moorcroftii)和矮嵩草(Kobresia humilis)5种草本植物为研究对象,通过室内单根拉伸试验对上述草本单根抗拉力、根径和抗拉强度进行了测定;在此基础上,利用正态分布、伽马分布、泊松分布、瑞利分布以及威布尔分布等统计模型对上述指标的分布进行了定性拟合分析,最后采用柯尔莫哥洛夫-斯米洛夫检验对该指标进行了定量检验。结果表明:5种统计模型中,泊松分布对3项指标值分布的描述性相对较差,威布尔和伽马分布则对上述3项指标的分布描述较好,剩余分布对指标描述的适用性则介于两者之间。此外,所有指标均不服从泊松分布,根径均服从正态分布、伽马分布和威布尔分布,个别植物服从瑞利分布,抗拉力和抗拉强度均服从伽马分布和威布尔分布,个别植物服从瑞利分布和正态分布;除紫花针茅根径最优分布为威布尔分布外,其余植物根径最优分布均为伽马分布,除矮嵩草抗拉力服从威布尔分布外,剩余植物抗拉力最优分布均为伽马分布,紫花针茅根系抗拉强度最优分布为正态分布、青藏苔草和矮嵩草为伽马分布、早熟禾与黄花棘豆最优分布均为威布尔分布。该项研究结果对于实现合理定量评价草本植物根系根径、抗拉力和抗拉强度性能具有重要的理论参考价值。To appropriately evaluate the mechanical behavior of herb roots,we select five types of indigenous herbs in Henan county of Qinghai province as the tested objectives.They are Oxytropis ochrocephala,Poa annua,Stipapurpure,Carex moorcroftii,and Kobresia humilis.Tensile tests are conducted to the roots of these selected species to obtain their tensile resistance and tensile strength.Based on these results,statistical models are adapted to qualitatively analyze the distribution patterns of the obtained values.The models include Weibull model,Gamma model,Poisson model,Rayleigh model,and Normal model.Then Kolmogorov-skmirov tests are used to quantitatively investigate the optimal distribution functions.The results show that for the five types of statistical models,Poisson model is poor for describing the distribution pattern of these values,while Weibull and Gamma distributions are excellent at describing the distribution patterns.Moreover,the optimal distribution model for root diameter is Gamma function.The optimal distribution model for tensile resistance and tensile strength of E.nutans and C.moorcroftii is Weibull model.The optimal distribution models for K.humilis tensile resistance and tensile strength for K.humilis Weibull and Gamma distributions,respectively.The optimal distribution models for tensile resistance and tensile strength of O.ochrocephala and P.annua is Gamma and Weibull distributions respectively.The results of this study play an important role in accurately estimating the mechanical behavior of herb roots.

关 键 词：植被护坡 分布函数 抗拉力 抗拉强度 根径 

分 类 号：P69[天文地球—地质学]