粗粒氯盐渍土动态回弹模量试验研究与理论模型

冉武平; 王金山; 艾贤臣; 陈慧敏; 钱建固

doi:10.11779/CJGE202109021

粗粒氯盐渍土动态回弹模量试验研究与理论模型 English Version

冉武平^{1, 2,},
王金山^{1, 2, ,},
艾贤臣^{1, 2},
陈慧敏^{1, 2},
钱建固^{1, 3}

1.
新疆大学建筑工程学院,新疆　乌鲁木齐　830047
2.
新疆土木工程技术研究中心,新疆　乌鲁木齐　830047
3.
同济大学地下建筑与工程系,上海　200092

基金项目:

国家自然科学基金项目 51768070

民航飞行区设施耐久与运行安全重点实验室开放基金项目 MK201902

详细信息

作者简介:
冉武平(1977— ),男,博士,教授,主要从事岩土与道路工程方面的教学和科研工作。E-mail：rwpxju@163.com

通讯作者:
王金山, E-mail：wjs705358329@126.com

中图分类号: TU443
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出版历程
- 收稿日期: 2020-08-11
- 网络出版日期: 2022-12-02
- 刊出日期: 2021-08-31

Laboratory tests and theoretical model for dynamic resilient modulus of coarse-grained chlorine saline soil

RAN Wu-ping^{1, 2,},
WANG Jin-shan^{1, 2, ,},
AI Xian-chen^{1, 2},
CHEN Hui-min^{1, 2},
QIAN Jian-gu^{1, 3}

1.
School of Civil Engineering & Architecture, Xinjiang University, Urumqi 830047, China
2.
Xinjiang Civil Engineering Technology Research Center, Urumqi 830047, China
3.
Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China

摘要

摘要: 为探究粗粒氯盐渍土动态回弹模量受荷载、盐分及湿度影响下的变化规律,借用室内动三轴试验,研究了不同应力状况、含水率及含盐量条件下粗粒氯盐渍土动态回弹特性。结果表明：动态回弹模量随围压和体应力增加而增大,随偏应力、盐分及水分的增大而减小；粗粒盐渍土中含盐量和含水率越高,围压、偏应力和体应力对其动态回弹模量影响越明显；同一应力水平下,含盐量和含水率的增加引起动态回弹模量的降低幅度逐渐增大,且盐分较水分影响更显著。基于三参数理论模型对试验结果进行回归分析发现,该模型具有较高的决定系数,并建立了精度较高的模型参数预估公式,可有效预测粗粒氯盐渍土动态回弹模量。
- 粗粒氯盐渍土 /
- 动态回弹模量 /
- 动三轴试验 /
- 演变规律 /
- 理论模型
Abstract: To explore the influences of load, salinity and humidity on the dynamic resilient modulus of coarse-grained chlorine saline soil, the dynamic rebound characteristics of the soil under different stresses, salt contents and water contents are studied based on the laboratory dynamic triaxial tests. The measured results reveal that the value of the dynamic resilient modulus inceases with the increase of the confining pressure and bulk stress, and decreases with the increase of the partial stress, salinity and moisture. The higher the salt content and moisture content in the soil, the more obvious the influences of the confining pressure, partial stress and bulk stress on its dynamic resilient modulus. Under the same stress, the value of the dynamic resilient modulus decreases more considerably with the increase of the salt content and moisture content, and the effects of salt tend to be more significant than those of water. Through the regression analysis of the test data based on a three-parameter theoretical model, the proposed model has a preferably higher determination coefficient, and the formula for predicting the model parameters with high precision is established. It is shown that the theoretical model is suitable to predict the dynamic resilient modulus of coarse-grained chlorine saline soil.
- coarse-grained saline soil /
- dynamic resilient modulus /
- dynamic triaxial test /
- evolution law /
- theoretical model

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图 1 测试试样土样粒径分配曲线

Figure 1. Test sample grain-size distribution curve of soil sample

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图 2 标准三轴压力室

Figure 2. Dynamic triaxial pressure chamber

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图 3 含水率w=5.1%时不同围压下动态回弹模量M_R与偏应力 $σ_{d}$ 关系

Figure 3. Relationship between M_R and σ_d under different confining pressures at water content of 5.1%

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图 4 含水率w=5.1%时不同偏应力下动态回弹模量M_R与体应力θ关系

Figure 4. Relationship between M_R and θ under different partial stresses at water content of 5.1%

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图 5 围压 $σ_{3}$ =45 kPa时不同含盐量下动态回弹模量M_R与偏应力 $σ_{d}$ 关系

Figure 5. Relationship between M_R and $σ_{d}$ under different salt contents at confining pressure of 45 kPa

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图 6 偏应力 $σ_{d}$ =1.0 σ₃时不同含盐量下动态回弹模量M_R与体应力θ关系

Figure 6. Relationship between M_R and θ under different salt contents at $σ_{d}$ =1.0 σ₃

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图 7 围压 $σ_{3}$ =45 kPa时不同含盐量下动态回弹模量M_R与含水率w关系

Figure 7. Relationship between M_R and w under different salt contents at confining pressure of 45 kPa

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图 8 围压 $σ_{3}$ =45 kPa时不同含水率下动态回弹模量M_R与含盐量Z关系

Figure 8. Relationship between M_R and Z under different water contents at confining pressure of 45 kPa

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图 9 动态回弹模量实测值与预测值对比

Figure 9. Comparison between measured and predicted values

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图 10 基于物性指标的预测值与实测值相关性

Figure 10. Correlation between predicted and measured values based on physical property indexes

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表 1 路基粗粒土三轴试验应力加载序列

Table 1 Loading sequence of triaxial tests on coarse-grained soil

加载序列号	围压应力 $σ_{3}$ /kPa	接触应力0.2 $σ_{3}$ /kPa	偏应力 $σ_{d}$ /kPa	荷载次数
0-预载	30	6	60	1000
1	15	3	8	100
2	30	6	15	100
3	45	9	23	100
4	60	12	30	100
5	80	16	40	100
6	15	3	15	100
7	30	6	30	100
8	45	9	45	100
9	60	12	60	100
10	80	16	80	100
11	15	3	30	100
12	30	6	60	100
13	45	9	90	100
14	60	12	120	100
15	80	16	160	100

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表 2 路基土回弹模量典型复合模型

Table 2 Typical composite models for resilient modulus of subgrade soil

提出者	模型名称	模型公式	模型的特点
Uzan^[21]	Uzan模型	$M_{R} = k_{1} θ^{k_{2}} σ_{d}^{k_{3}}$	①存在量纲问题；②存在模量不定值问题
Witczak等^[22]	八面体剪应力模型	$M_{R} = k_{1} p_{a} {(\frac{θ}{p_{a}})}^{k_{2}} {(\frac{τ_{oct}}{p_{a}})}^{k_{3}}$	①存在模量不定值问题
Lytton等^[23]	Superpave性能模型	$M_{R} = k_{1} p_{a} {(\frac{θ - 3 k_{4}}{p_{a}})}^{k_{2}} {(\frac{τ_{oct}}{p_{a}})}^{k_{3}}$	①τ_oct→0时出现计算困难,②需在剪应力项中加1
NCHRP 1-28A^[24]	NCHRP 1-28A模型	$M_{R} = k_{1} p_{a} {(\frac{θ}{p_{a}})}^{k_{2}} {(\frac{τ_{oct}}{p_{a}} + 1)}^{k_{3}}$	①考虑了体应力和剪应力影响；②克服了量纲和模量不定值问题
注： $M_{R}$ 为动态回弹模量（MPa）； $p_{a}$ 为大气压强绝对值,通常取100kPa； $θ$ 为体应力（kPa）, $θ = σ_{1} + σ_{2} + σ_{3}$ , $σ_{1}$ , $σ_{2}$ , $σ_{3}$ 为主应力； $τ_{oct}$ 为八面体剪应力（kPa）, $τ_{oct} = \sqrt{{(σ_{1} - σ_{2})}^{2} + {(σ_{1} - σ_{3})}^{2} + {(σ_{2} - σ_{3})}^{2}} / 3$ ； $k_{i}$ 为模型参数, $k_{1}$ , $k_{2}$ ≥0, $k_{3}$ ≤0, $k_{4}$ ≤0。

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表 3 动态回弹模量理论模型参数回归分析结果

Table 3 Results of parameter regression analysis of prediction model for dynamic resilient modulus

测试工况		模型参数			相关系数	最大残差值
含盐量Z/%	含水率w/%	k₁	k₂	k₃	R²	Max
0.0	4.0	1.497	0.242	-0.452	0.907	8.38
	5.1	1.466	0.255	-0.580	0.889	8.59
	6.0	1.433	0.279	-0.823	0.879	8.51
2.0	4.0	1.407	0.428	-1.288	0.971	8.77
	5.1	1.382	0.407	-1.269	0.963	8.18
	6.0	1.309	0.393	-1.310	0.950	7.82
5.0	4.0	1.187	0.503	-1.393	0.966	8.06
	5.1	1.118	0.499	-1.366	0.959	7.58
	6.0	1.077	0.505	-1.552	0.952	8.33
8.0	4.0	0.976	0.615	-1.617	0.969	7.75
	5.1	0.919	0.644	-1.719	0.968	7.68
	6.0	0.854	0.687	-1.729	0.957	8.20
注：回归分析时,M_R的单位为MPa,应力单位为kPa。

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参考文献(30)

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粗粒氯盐渍土动态回弹模量试验研究与理论模型 English Version

作者简介: 冉武平(1977— ),男,博士,教授,主要从事岩土与道路工程方面的教学和科研工作。E-mail：rwpxju@163.com

通讯作者: 王金山, E-mail：wjs705358329@126.com

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出版历程

Laboratory tests and theoretical model for dynamic resilient modulus of coarse-grained chlorine saline soil

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出版历程

目录

作者简介:
冉武平(1977— ),男,博士,教授,主要从事岩土与道路工程方面的教学和科研工作。E-mail：rwpxju@163.com

通讯作者:
王金山, E-mail：wjs705358329@126.com