干湿循环下粗粒土回弹模量演变规律及模型预估和修正

doi:10.13229/j.cnki.jdxbgxb20200614

摘要/Abstract

摘要：

借助动三轴试验系统，研究了不同含水率、应力加载路径和干湿循环次数下粗粒土回弹模量的变化规律，采用多种预估模型对模型参数进行统计回归，最终确定Ni模型为粗粒土模量预估模型，并提出了干湿循环修正系数及拟合方程。试验结果表明：回弹模量随含水量的增加呈减小趋势，含水量为4%时对应的回弹模量值最大；当偏应力一定时，围压与回弹模量呈正相关，当围压一定时，偏应力与回弹模量呈负相关；随着干湿循环次数的增加，回弹模量整体呈衰减趋势，且在干湿循环次数N=1、2时衰减幅度最大，N=3、4时衰减幅度减小，当N>4时回弹模量趋于稳定。本文研究成果可为粗粒土路基设计提供参考依据。

关键词: 道路工程, 粗粒土, 干湿循环, 修正系数, 模量预估

Abstract:

With the help of the dynamic triaxial test system, the changes of coarse-grain soil rebound modulus under different moisture content, stress loading paths and dry and wet cycles (N) are studied. A several estimation models are used to determine the Ni model as the estimation model of coarse-grain soil modulus, and the correction coefficient and fitting equation are put forward. The test results show that the rebound modulus decreases with the increase of water content, and the rebound modulus corresponding to 4% water content is the largest. When the partial stress is fixed, the surrounding pressure and the rebound modulus are negatively correlated with the rebound modulus. With the increase of N the rebound modulus has the trend of decay, which reaches the maximum at N=1~2, and the decay is reduced at N=3~4, when N>4, the rebound modulus becomes stable. The research results provide a reference basis for the design of coarse-grain soil subgrade.

Key words: road engineering, coarse-grained soil, dry-wet cycle, correction coefficient, modulus estimate

中图分类号:

UT411

冉武平,陈慧敏,李玲,冯立群. 干湿循环下粗粒土回弹模量演变规律及模型预估和修正[J]. 吉林大学学报(工学版), 2021, 51(6): 2079-2086.

Wu-ping RAN,Hui-min CHEN,Ling LI,Li-qun FENG. Evolution law and model estimation and modification of resilience modulus of coarse grained soil subgrade under wet and dry cycle[J]. Journal of Jilin University(Engineering and Technology Edition), 2021, 51(6): 2079-2086.

图/表 10

图1

表1

图2

图3

图4

图5

图6

表2

典型预估模型拟合参数回归"

模型	拟合公式	ω/%	k₁	k₂	k₃	R²
K-θ	$M R = k 1 θ k 2$	4	60.18	0.16	?	0.29
		5	59.08	0.14	?	0.29
		6	50.99	0.15	?	0.26
围压	$M R = k 1 σ 3 k 2$	4	55.93	0.24	?	0.65
		5	56.26	0.20	?	0.64
		6	46.93	0.23	?	0.63
Uzan	$M R = k 1 θ k 2 σ d k 3$	4	45.83	0.28	-0.11	0.63
		5	45.31	0.25	-0.11	0.54
		6	39.61	0.26	-0.11	0.53
NCHRP1-28A	$M R = k 1 p a θ p a k 2 τ o c t p a + 1 k 3$	4	1.46	0.26	0.94	0.66
		5	1.26	0.23	0.69	0.74
		6	1.14	0.23	0.94	0.62
Ni	$M R = k 1 p a σ 3 p a + 1 k 2 σ d p a + 1 k 3$	4	1.46	0.26	0.94	0.82
		5	1.26	0.23	0.69	0.89
		6	1.14	0.23	0.94	0.77

表2

图7

表3

干湿循环修正系数(含水率ω=5%)"

/kPa $σ 3$	$σ d$ /kPa	修正系数拟合公式 $β = a + b x + c x 2 + d x 3$					粗粒回弹模量干湿循环修正系数β
/kPa $σ 3$	$σ d$ /kPa	a	b	c	d	R	N=0	N=1	N=2	N=3	N=4	N=5
15	8	1.003	-0.157	0.026	-0.002	>0.95	1	0.88	0.78	0.70	0.70	0.65
	15	0.997	-0.155	0.024	-0.001	>0.95	1	0.85	0.78	0.71	0.67	0.65
	30	1.003	-0.200	0.041	-0.003	>0.95	1	0.85	0.73	0.69	0.66	0.62
30	15	1.002	-0.073	-0.016	0.004	>0.95	1	0.92	0.82	0.73	0.70	0.69
	30	1.002	-0.127	0.010	0.001	>0.95	1	0.89	0.80	0.71	0.70	0.69
	60	0.999	-0.146	0.017	-0.000	>0.95	1	0.87	0.77	0.70	0.65	0.63
45	23	1.005	-0.114	0.017	-0.001	>0.95	1	0.92	0.82	0.73	0.70	0.69
45	45	0.999	-0.158	0.220	-0.001	>0.95	1	0.86	0.77	0.70	0.67	0.66
干湿循环修正系数取值范围								0.85~ 0.92	0.73~ 0.82	0.69~ 0.73	0.65~ 0.70	0.62~ 0.69

表3

参考文献 25

1	张芳枝, 陈晓平. 反复干湿循环对非饱和土的力学特性影响研究[J]. 岩土工程学报,2010,32(1):41-46.
	Zhang Fang-zhi, Chen Xiao-ping. Effects of repeated dry-wet cycles on mechanical properties of unsaturated soils[J]. Chinese Journal of Geotechnical Engineering, 2010, 32(1):41-46.
2	陈华庆. 干湿循环条件下路基材料软化规律与设计参数取值[D]. 南京:东南大学交通学院,2018.
	Chen Hua-qing. Softening rule and design parameters of subgrade materials under dry-wet cycling condition[D]. Nanjing:School of Communications, Southeast University, 2018.
3	朱炳,曹学兴,李维朝,等. 不良级配粗粒土渗透变形的数值试验[J]. 中国水利水电科学研究院学报,2020,18(3):178-185.
	Zhu Bing, Cao Xue-xing, Li Wei-chao, et al. Numerical test of permeability deformation of poor graded coarse graded soil[J]. Journal of China Institute of Water Resources and Hydropower Research,2020, 18(3):178-185.
4	胡焕校,段旭龙,何忠明,等. 动三轴CT条件下粗粒土填料的力学特性与细观力学性能分析[J]. 中国公路学报,2018,31(11):42-50.
	Hu Huan-xiao, Duan Xu-long, He Zhong-ming, et al. Mechanical properties and microscopic mechanical properties of coarse-grained soil fillers under dynamic triaxial CT[J]. Chinese Journal of Highway and Transport,2018,31(11):42-50.
5	刘雨,朱自强,陈俊桦. 干湿循环条件下水泥改良泥质板岩粗粒土的静力特性试验研究[J]. 中南大学学报:自然科学版,2019,50(3):679-686.
	Liu Yu, Zhu Zi-qiang, Chen Jun-hua. Experimental study on static characteristics of coarse grained soil of cement modified argillaceous slate under dry-wet circulation[J]. Journal of Central South University(Science and Technology),2019,50(3):679-686.
6	Yan K Z, Xu H B, Shen G H. Novel approach to resilient modulus using routine subgrade soil properties[J]. International Journal of Geomechanics, 2014, 14(6):No.04014025.
7	Zhou C J, Huang B S, Drumm E, et al. Soil resilient modulus regressed from physical properties and influence of seasonal variation on asphalt pavement performance[J]. Journal of Transportation Engineering, 2015, 141(1): No.04014069.
8	Han Z, Vanapalli S K, Zou W L. Integrated approaches for predicting soil-water characteristic curve and resilient modulus of compacted fine-grained subgrade soils[J]. Canadian Geotechnical Journal, 2017, 54(5):646-663.
9	李志勇,董城,邹静蓉,等. 湘南地区红黏土动态回弹模量试验与预估模型研究[J]. 岩土力学,2015,36(7):1840-1846.
	Li Zhi-yong, Dong Cheng, Zou Jing-rong, et al. Dynamic modulus of resilience test and prediction model of red clay in southern Hunan[J]. Rock and Soil Mechanics, 2015, 36(7):1840-1846.
10	Garven E A, Vanapalli S K. Evaluation of empirical procedures for predicting the shear strength of unsaturated soils[C]∥Fourth International Conference on Unsaturated Soils, Carefree, Arizona, United States, 2006:2570-2581.
11	刘维正,曾奕珺,姚永胜,等. 含水率变化下压实路基土动态回弹模量试验研究与预估模型[J]. 岩土工程学报,2019,41(1):175-183.
	Liu Wei-zheng, Zeng Yi-jun, Yao Yong-sheng, et al. Experimental study and prediction model of dynamic resilient modulus of compacted subgrade soils subjected to moisture variation[J]. Chinese Journal of Geotechnical Engineering, 2019, 41(1):175-183.
12	冉武平,李玲,张翛,等. 重塑黄土动态回弹模量依赖性分析及预估模型[J]. 湖南大学学报:自然科学版,2018,45(9):130-137.
	Ran Wu-ping, Li Ling, Zhang Jian, et al. Dynamic modulus of resilience dependence analysis and prediction model of remolded loess [J]. Journal of Hunan University (Natural Sciences), 2018, 45(9):130-137.
13	李聪,邓卫东,崔相奎. 干湿循环条件下完全扰动黄土路基回弹模量分析[J]. 交通科学与工程,2009,25(2):8-12.
	Li Cong, Deng Wei-dong, Cui Xiang-kui. Analysis of modulus of return of completely disturbed loess subgrade under dry-wet cycle condition[J]. Journal of Transport Science and Engineering, 2009, 25(2):8-12.
14	李冬雪,凌建明,钱劲松,等. 湿度循环下黏质路基土回弹模量演化规律[J]. 同济大学学报:自然科学版,2013,41(7):1051-1055.
	Li Dong-xue, Ling Jian-ming, Qian Jin-song, et al. Evolution of modulus of resilience of clay subgrade soil under humidity cycle[J]. Journal of Tongji University (Natural Science ), 2013,41(7):1051-1055.
15	凌建明,陈卉,钱劲松,等. 湿度有限波动下非饱和黏土路基动态回弹模量[J]. 吉林大学学报:工学版,2020,50(2):613-620.
	Ling Jian-ming, Chen Hui, Qian Jin-song, et al. Dynamic modulus of resilience of unsaturated clay subgrade with limited humidity fluctuation[J]. Journal of Jilin University (Engineering and Technology Edition), 2020,50(2):613-620.
16	林小平,李兴华,凌建明,等. 路基土回弹模量湿度调整系数预估研究[J]. 同济大学学报:自然科学版,2011,39(10):1490-1494.
	Lin Xiao-ping, Li Xing-hua, Ling Jian-ming,et al.Study on estimation of humidity adjustment coefficient of retroelastic modulus of subgrade[J]. Journal of Tongji University(Natural Science), 2011,39(10):1490-1494.
17	. 公路土工试验规程[S].
18	曹光栩,宋二祥,徐明. 碎石料干湿循环变形试验及计算方法[J]. 哈尔滨工业大学学报,2011,43(10):98-104.
	Cao Guang-zhi, Song Er-xiang, Xu Ming. Study on experiment and calculation method of dry-wet cycle characteristics of rockfills[J]. Journal of Harbin Institute of Technology,2011,43(10):98-104.
19	高志伟,王选仓,宋学艺,等. 新疆地区公路路基含水量年变化规律[J]. 长安大学学报:自然科学版,2011,31(3):27-32.
	Gao Zhi-wei, Wang Xuan-cang, Song Xue-yi, et al. Annual variation regularity of water content of highway subgrade in Xinjiang[J]. Journal of Chang'an University (Natural Science Edition), 2011, 31(3):27-32.
20	罗志刚. 路基与粒料层动态模量参数研究[D]. 上海:同济大学交通运输学院,2007.
	Luo Zhi-gang. Research on dynamic modulus parameters of subgrade and granular layers[D]. Shanghai: School of Transportation, Tongji University, 2007.
21	石章入,曾亚武,刘芙蓉. 土石混合路基填料动回弹模量试验研究[J].水利与建筑工程学报,2018,16(3):138-143, 154.
	Shi Zhang-ru, Ya-wu Zen, Liu Fu-rong. Study on the dynamic rebound modulus of soil and stone mixed roadbed fillers[J]. Journal of Water Resources and Architectural Engineering, 2018,16(3):138-143, 154.
22	王瀚霖. 高速铁路路基力学性能及水分运移规律研究[D]. 杭州:浙江大学岩土工程研究所,2017.
	Wang Han-lin. A study on mechanical properties of high speed railway subgrade and the law of water migration[D]. Hangzhou: Institute of Geotechnical Engineering, Zhejiang University, 2017.
23	Seed H B, Mitry F G, Monosmith C L, et al. Prediction of flexible pavement deflections from laboratory repeated-load tests[R]. Transportation Research Board, Washington D C, 1967.
24	张军辉,彭俊辉,郑健龙. 路基土动态回弹模量预估进展与展望[J]. 中国公路学报,2020,33(1):1-13.
	Zhang Jun-hui, Peng Jun-hui, Zheng Jian-long. Estimated progress and outlook of dynamic rebound modulus on the roadbed soil[J]. Chinese Journal of Highway and Transport, 2020, 33(1):1-13.
25	欧阳卫锋. 路基红粘土动态回弹模量影响因素及预估模型研究[D]. 长沙:长沙理工大学交通运输工程学院,2016.
	Ouyang Wei-feng. Study on the influence factors and estimated models of dynamic rebound modulus of road-based red clay[D]. Changsha: School of Traffic and Transportation Engineering, Changsha University of Technology, 2016.

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed

[1]	许哲谱,杨群. 基于实时路况地图的短期养护作业开始时间优化[J]. 吉林大学学报(工学版), 2021, 51(5): 1763-1774.
[2]	文畅平,任睆遐. 基于Lade模型的生物酶改良膨胀土双屈服面本构关系[J]. 吉林大学学报(工学版), 2021, 51(5): 1716-1723.
[3]	王元元,孙璐,刘卫东,薛金顺. 测量路面三维纹理双目重构算法的约束改进[J]. 吉林大学学报(工学版), 2021, 51(4): 1342-1348.
[4]	彭勇,杨汉铎,陆学元,李彦伟. 基于离散元法的空隙特征对沥青混合料虚拟剪切疲劳寿命的影响[J]. 吉林大学学报(工学版), 2021, 51(3): 956-964.
[5]	朱伟刚,朱超,张亚球,魏海斌. 基于卷积格网曲面拟合滤波算法的数字高程模型构建及质量评价[J]. 吉林大学学报(工学版), 2021, 51(3): 1073-1080.
[6]	程永春,李赫,李立顶,王海涛,白云硕,柴潮. 基于灰色关联度的矿料对沥青混合料力学性能的影响分析[J]. 吉林大学学报(工学版), 2021, 51(3): 925-935.
[7]	宫亚峰,逄蕴泽,王博,谭国金,毕海鹏. 基于吉林省路况的新型预制装配式箱涵结构的力学性能[J]. 吉林大学学报(工学版), 2021, 51(3): 917-924.
[8]	阳恩慧,徐加秋,唐由之,李奥,邱延峻. 温拌剂对沥青断裂和老化性能的影响[J]. 吉林大学学报(工学版), 2021, 51(2): 604-610.
[9]	戴文亭,司泽华,王振,王琦. 剑麻纤维水泥加固土的路用性能试验[J]. 吉林大学学报(工学版), 2020, 50(2): 589-593.
[10]	方宇,孙立军. 基于生存分析的城市桥梁使用性能衰变模型[J]. 吉林大学学报(工学版), 2020, 50(2): 557-564.
[11]	王芳,李晓光,郭慧,胡佳. 基于驾驶员视觉兴趣区的沙漠草原公路曲线间直线段线形指标优化[J]. 吉林大学学报(工学版), 2020, 50(1): 114-120.
[12]	王英,李萍,念腾飞,姜继斌. 基于动水冲刷作用的沥青混合料短期水损害特性[J]. 吉林大学学报(工学版), 2020, 50(1): 174-182.
[13]	万平,吴超仲,马晓凤. 基于ROC曲线和驾驶行为特征的驾驶愤怒强度判别阈值[J]. 吉林大学学报(工学版), 2020, 50(1): 121-131.
[14]	熊锐,乔宁,褚辞,杨发,关博文,盛燕萍,牛冬瑜. 掺盐沥青胶浆低温流变及粘附特性[J]. 吉林大学学报(工学版), 2020, 50(1): 183-190.
[15]	朱春凤,程永春,梁春雨,肖波. 硅藻土⁃玄武岩纤维复合改性沥青混合料路用性能试验[J]. 吉林大学学报(工学版), 2020, 50(1): 165-173.