基于可靠指标的土体强度参数变异特征及类型划分

doi:10.13722/j.cnki.jrme.2016.1623

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摘要

土体强度参数变异系数V及其变化范围较大，变异水平传统上以经验划分为主，未考虑与可靠指标非线性响应特征的关联性。根据收集得到的257组细粒土强度参数变异系数数据，采用A-D检验进行概率分布形式判定、特征参数拟合及置信区间估计；基于Monte Carlo模拟分析土体强度参数变异系数与边坡稳定可靠指标β的非线性映射关系，开展与可靠指标变化特征相适应的土体强度参数变异类型划分研究。计算表明：黏性土强度参数变异系数(V_c，V_φ)呈对数正态分布，95%保证率分布区间V_c∈[0.05，0.73]和V_φ∈[0.05，0.47]，黄土则服从正态分布，V_c∈[0.05，0.81]和V_φ∈[0.05，0.39]；随强度参数变异程度逐渐增大，可靠指标依次表现出非线性减小、线性降低和微量变化三类响应特征，据此提出急变、缓变和滞钝三类强度参数变异类别，其中V_c≤0.35，＞0.35分别为急变型和缓变型，V_φ≤0.20，0.20～0.35，≥0.35为急变、缓变和滞钝型。

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关键词 ：土力学, 变异类型, 土体强度参数, 变异系数, 可靠指标, 边坡稳定

Abstract：

The coefficients of variation V of soil strength parameters，varying in a wide range，are high and traditionally classified by experience，without taking the non-linear response reliability index β into consideration. Based on the collected 257 sets of V of fine-grained soil strength parameters，the probability distribution，characteristic parameters and confidence intervals for these data were determined. The non-linear relationship between β and V was analyzed in which the Monte Carlo Simulation method was used to calculate the slope reliability，and then a classification principle is proposed consistent with the characteristics of β. Research shows that the coefficient of variation(V_c，V_φ) of the cohesive soil can be described by lognormal distribution，and the estimated interval with 95% confidence level are V_c∈[0.05，0.73] and V_φ∈[0.05，0.47]，respectively. Analogously，the statistics for loess are subject to a normal distribution，with the confidence interval V_c∈[0.05，0.81] and V_φ∈[0.05，0.39]，respectively. The β value shows three kinds of response namely nonlinear decrease，linear decrease and micro change sequentially as the V value increases. Three types of variation of soil strength parameters，denoted by rapid changing，slow changing and stagnate changing，are proposed to describe the variation type of soil strength parameters，in which V_c≤0.35 and ＞0.35 belong to rapid and slow changing type，and V_φ≤0.20，0.20～0.35，≥0.35 are rapid，slow and stagnant changing types，respectively.

Key words： soil mechanics types of variation soil strength parameters coefficient of variation reliability index slope stability

引用本文:

张文生1，2，罗强1，2，蒋良潍1，2，李昂1，2，骆飞1，2. 基于可靠指标的土体强度参数变异特征及类型划分[J]. 岩石力学与工程学报, 2017, 36(S2): 4188-4204.
ZHANG Wensheng1，2，LUO Qiang1，2，JIANG Liangwei1，2，LI Ang1，2，LUO Fei1，2. Variation characterization and type classification of soil strength parameters based on reliability index. , 2017, 36(S2): 4188-4204.

链接本文:

https://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2016.1623 或 https://rockmech.whrsm.ac.cn/CN/Y2017/V36/IS2/4188

[1] PHOON K K，KULHAWY F H. Characterization of geotechnical variability[J]. Canadian Geotechnical Journal，1999，36(4)：612–624.

[2] ISO2394：2015. International Organization for Standardization. General principles on reliability of structures[S]. Switzerland：[s. n.]，2015.

[3] CHRISTIAN J T，LADD C C，BAECHER G B. Reliability applied to slope stability analysis[J]. Journal of Geotechnical and Geoenvironmental Engineering，1994，120(12)：2 180–2 207.

[4] PHOON K K. Reliability-based design in geotechnical engineering：computations and applications[M]. UK：Taylor & Francis，2008：6–7.

[5] 高大钊. 土力学可靠性原理[M]. 北京：中国建筑工业出版社，1989：90–91.(GAO Dazhao，Principles of soil mechanics reliability[M]. Beijing： China Architecture and Building Press，1989：90–91.(in Chinese))

[6] GRECO V R. Variability and correlation of strength parameters inferred from direct shear tests[J]. Geotechnical and Geological Engineering，2016，34(2)：585–603.

[7] HASSAN A M，WOLFF T F. Search algorithm for minimum reliability index of earth slopes[J]. Journal of Geotechnical and Geoenvironmental Engineering，1999，125(4)：301–308.

[8] LUO X，CHENG T，LI X，et al. Slope safety factor search strategy for multiple sample points for reliability analysis[J]. Engineering Geology，2012，129：27–37.

[9] 骆飞，罗强，蒋良潍，等. 小样本岩土参数的Bootstrap估计及边坡稳定分析[J]. 岩石力学与工程学报，2017，36(2)：370–379. (LUO Fei，LUO Qiang，JIANG Liangwei，et al. Bootstrap estimation for geotechnical parameters of small samples and slope stability analysis[J]. Chinese Journal of Rock Mechanics and Engineering，2017，36(2)：370–379.(in Chinese))

[10] PAIKOWSKY S G. Load and resistance factor design(LRFD) for deep foundations，NCHRP Report 507[R]. Washington D C：Transportation Research Board，2004.

[11] Canadian Standards Association. CAN/CSA–S6–14：2014 Canadian highway bridge design code[S]. Mississauga，Ontario：[s. n.]，2014.

[12] CEN(European Committee for Standardization). EN 1997—1 Eurocode 7. Geotechnical design—part 1：general rules[S]. Brussels：[s. n.]，2004.

[13] SCHULTZE E. Some aspects concerning the application of statistics and probability to foundation structures[C]// Proceedings of Second International Conference on Applications of Statistics and Probability in Soil and Structural Engineering. Aachen：[s. n.]，1975：457–494.

[14] CHOWDHURY R N. Recent developments in landslide studies：probabilistic methods-state-of-art-report[C]// Proceedings of Fourth Symposium on Landslides. [S. l.]：[s. n.]，1984：209–228.

[15] BIERNATOWSKI K. Statistical characteristic of subsoil[C]// Proceedings of the Eleventh International Conference on Soil Mechanics and Foundation Engineering. [S. l.]：Publication of Balkema，1985：799–802.

[16] 高大钊. 地基土力学性质指标的可靠性分析与取值[J]. 同济大学学报：自然科学版，1985，25(4)：59–68.(GAO Dazhao. The reliability of the mechanics properties of foundation soil index analysis and value[J]. Journal of Tongji University：Natural Science，1985，25(4)：59–68.(in Chinese))

[17] WOLFF T H. Analysis and design of embankment dam slopes：a probabilistic approach(soil mechanics，Indiana)[R]. Lafayette：Purdue University，1985.

[18] 范明桥. 黏性填筑土强度指标φ，c的概率特性[J]. 水利水运科学研究，2000，(1)：49–53.(FAN Mingqiao. Probabilistic property of shear strength parameters φ，c of refilled clay[J]. Journal of Nanjing Hydraulic Research Institute，2000，(1)：49–53.(in Chinese))

[19] 李小勇. 土工参数空间概率特性及软黏土地基固结概率分析[博士学位论文][D]. 杭州：浙江大学，2001.(LI Xiaoyong. Spatial probabilistic characteristics of geotechnical parameters and probability analysis of consolidation of soft clay ground[Ph. D. Thesis][D]. Hangzhou：Zhejiang University，2001.(in Chinese))

[20] El-RAMLY H. Probabilistic analyses of landslide hazards and risks：bridging theory and practice[Ph. D. Thesis][D]. Alta：University of Alberta，Edmonton，2001.

[21] 聂士诚. 土质边坡稳定的可靠度分析及其土性参数的敏感性研究[硕士学位论文][D].长沙：中南大学，2002.(NIE Shicheng. Reliability analysis of slope stability and research on sensitivity of soil parameters[M. S. Thesis][D]. Changsha：Central South University，2002.(in Chinese))

[22] ELRAMLY H，MORGENSTERN N R，CRUDEN D M. Probabilistic stability analysis of a tailings dyke on presheared clay[J]. Canadian Geotechnical Journal，2003，40(1)：192–208.

[23] 陈善攀. 土质边坡稳定可靠度分析遗传算法方法及程序设计[硕士学位论文][D]. 长沙：中南大学，2008.(CHEN Shanpan. Genetic algorithm method and program design for reliability analysis of soil slope stability[M. S. Thesis][D]. Changsha：Central South University，2008.(in Chinese))

[24] 张继周，缪林昌，陈俊波. 苏中腹地湖相软土土性参数变异性统计描述[J]. 岩土力学，2010，31(2)：471–477.(ZHANG Jizhou，MIAO Linchang，CHEN Junbo. Statistical characterization of variability of Lacustrine soft soil in central region of Jiangsu Province[J]. Rock and Soil Mechanics，2010，31(2)：471–477.(in Chinese))

[25] 吕杨. 土质路堤边坡稳定可靠度分析方法探讨[硕士学位论文][D]. 成都：西南交通大学，2014.(LU Yang. Discussion on the method of stability reliability of embankment slope[M. S. Thesis][D]. Chengdu：Southwest Jiaotong University，2014.(in Chinese))

[26] 吴兴正. 路基边坡稳定可靠度计算中的不确定性问题研究[硕士学位论文][D]. 成都：西南交通大学，2015.(WU Xingzheng. Study on the uncertainty of stability reliability of subgrade slope[M. S. Thesis][D]. Chengdu：Southwest Jiaotong University，2015.(in Chinese))

[27] 李萍. 黄土边坡可靠性研究[博士学位论文][D]. 西安：长安大学，2006.(LI Ping. Reliability applied to stability analysis of loess slope[Ph. D. Thesis][D]. Xian：Chang¢an University，2006.(in Chinese))

[28] 高德彬. 公路黄土路堑高边坡稳定性研究[博士学位论文][D]. 西安：长安大学，2008.(GAO Debin. Study on the stability of highway loess cutting slope[Ph. D. Thesis][D]. Xian：Chang'an University，2008.(in Chinese))

[29] 倪万魁，韩启龙. 黄土土性参数的统计分析[J]. 工程地质学报，2001，9(1)：62–67.(NI Wankui，HAN Qilong. Statistical analysis of physical and mechanical indexes of the typical loess[J]. Journal of Engineering Geology，2001，9(1)：62–67.(in Chinese))

[30] 赖天文，何斌. 黄土物理力学性质指标的变异性及相关性分析[J]. 兰州铁道学院学报，2003，22(6)：110–112.(LAI Tianwen，HE Bin. The variability and correlativity of physical and mechanical parameter of loess[J]. Journal of Lanzhou Railway University，2003，22(6)：110–112.(in Chinese))

[31] 郭剑涛. 河南—山西西部地区黄土边坡可靠度研究[硕士学位论文][D]. 西安：长安大学，2012.(GUO Jiantao. Reliability applied to loess slope stability analysis in west Henan-Shanxi areas[M. S. Thesis][D]. Xi¢an：Chang¢an University，2012.(in Chinese))

[32] 侯晓坤，李同录，赵谦，等. 黄土地区路堑高边坡可靠度设计标准研究[J]. 工程地质学报，2015，23(增1)：132–139.(HOU Xiaokun，LI Tonglu，ZHAO Qian，et al. Research on reliability criteria Applying in high cutting loess slope design[J]. Journal of Engineering Geology，2015，23(Supp.1)：132–139.(in Chinese))

[33] PHOON K K，RETIEF J V. Reliability of Geotechnical Structures in ISO2394[M]. Balkema：CRC Press，2016：112–114.

[34] CHING J，WU S，PHOON K K. Statistical characterization of random field parameters using Frequentist and Bayesian approaches[J]. Canadian Geotechnical Journal，2016，53(2)：285–298.

[35] HOLICKÝ M. Reliability analysis for structural design[M]. Stellenbosch：African Sun Media，2009：314–317.

[36] ALLEN T M，NOWAK A S，BATHURST R J. Calibration to determine load and resistance factors for geotechnical and structural design[R]. Washington DC：Transport and Research Board，2005.

[37] ANDERSON T W，DARLING D A. A test of goodness of fit[J]. Journal of the American Statistical Association，1954，49(268)：765–769.

[38] ANDERSON T W，DARLING D A. A symptotic theory of certain “goodness of fit” criteria based on stochastic processes[J]. The Annals of Mathematical Statistics，1952，23(2)：193–212.

[39] JIMIN S，XIANGKUN Z. Temporal variations in PB isotopes and trace element concentrations within Chinese Eolian deposits during the past 8Ma：Implications for provenance change[J]. Earth and Planetary Science Letters，2010，290(3)：438–447.

[40] FELLENIUS W. Calculation of the stability of earth slope[C]// Transactions of 2nd Congress on Large Dams. Washington DC：[s. n.]，1936：445–462.

[41] TOBUTT D C. Monte Carlo Simulation methods for slope stability[J]. Computers and Geosciences，1982，8(2)：199–208.

[42] MATSUO M，KURODA K. Probabilistic approach to design of embankments[J]. Soils and Foundations，1974，14(2)：1–17.

[43] 铁道部第一勘测设计院. TB 1001—2015 铁路路基设计规范[S]. 北京：中国铁道出版社，2005.(The First Survey Designing Institute of Ministry of Railway. TB 1001—2005 Code for design on subgrade of railway[S]. Beijing：China Railway Press，2005.(in Chinese))