中更新世黄土的湿陷特性及其湿陷预测模型

付昱凯; 李广林; 李同录; 张子然; 刘贺

doi:10.16030/j.cnki.issn.1000-3665.202307022

中更新世黄土的湿陷特性及其湿陷预测模型

1.
长安大学地质工程与测绘学院，陕西西安　710054

2.
黄土高原水循环与地质环境教育部野外科学观测研究站，甘肃正宁　745399

基金项目: 陕西省自然科学基础研究计划项目（2022JM-167）；国家自然科学基金项目(42474051)

详细信息

作者简介: 付昱凯（1983—），男，博士，讲师，主要从事岩土力学与地质灾害研究。E-mail：fw@chd.edu.cn

通讯作者: 李同录（1965—），男，博士，教授，主要从事黄土工程地质、地质灾害防治研究。E-mail：dcdgx08@chd.edu.cn

中图分类号: P642.3

收稿日期: 2023-07-15

修回日期: 2023-10-05

录用日期: 2023-10-11

刊出日期: 2025-01-15

Collapsible properties of Q₂loess and its collapsible prediction model

1.
School of Geological Engineering and Surveying, Chang’an University, Xi’an, Shaanxi　710054, China

2.
Water Cycle and Geological Environment Observation and Research Station for the Chinese Loess Plateau, Ministry of Education, Zhengning, Gansu　745399, China

More Information

Corresponding author: LI Tonglu, dcdgx08@chd.edu.cn

Received Date: 15 July 2023

Revised Date: 05 October 2023

Accepted Date: 11 October 2023

Publish Date: 15 January 2025

摘要

摘要:
间歇性的地表灌溉或工程运营引起的长期地表渗漏，会导致深层中更新世（Q₂）黄土的增湿变形，进而影响构建筑物安全。为了预测Q₂黄土的湿陷变形特性，对陕西泾阳原状Q₂黄土进行了多个含水率下的高压固结试验，得到不同含水率及压力下的湿陷系数，并基于试验结果，在δ_s-lgp半对数坐标系中，利用线性及Lorentz型函数构建Q₂黄土湿陷系数的压力相关模型，然后基于模型参数与含水率相关性，建立湿陷系数与压力和含水率的二元函数三维模型。试验结果表明：随着荷载的增大，黄土的湿陷系数在δ_s-lgp半对数坐标系中均呈现出线性缓增-骤增-峰值-减小的变化趋势，且各含水率下缓增-骤增阶段的分界压力不随含水率的变化而改变，均为饱和状态压缩曲线的结构屈服压力；各含水率下峰值湿陷系数和对应的压力均随含水率的增大逐渐减小。建立的湿陷系数模型能较好地描述Q₂黄土高压力范围内各含水率下湿陷系数随压力的变化，可用来预测Q₂黄土在不同含水率和荷载下的湿陷系数，对深厚层Q₂黄土的浸水、增湿湿陷评价具有实际意义。
- 中更新世黄土 /
- 湿陷变形 /
- 湿陷系数 /
- 压力 /
- 含水率 /
- 湿陷模型
Abstract:
Long-term surface leakage caused by intermittent surface irrigation or project operation can lead to the humidification and settlement deformation of deep Q₂ loess, compromising the safety of the structures. To predict the collapsible deformation properties of Q₂ loess, a series of high pressure consolidation tests were performed under different water contents on Q₂ loess from Jingyang of Shaanxi Province. The collapsible coefficients under different water contents were measured by using double-line method tests, and the collapsibility of Q₂ loess of different water contents and pressures within high pressure range were investigated. Based on these experimental results, a pressure-dependent collapsibility coefficient model in the δ_s-p semi-logarithmic coordinates was proposed by using linear and Lorentz-type joint functions. Furthermore, a 3D collapsible surface model related to the pressure and water content was proposed based on the correlation analysis between model parameters and water content. The test results indicates that all collapsible coefficients in the δ_s-p semi-logarithmic coordinates present the trend of linear slow increase-sudden increase-peak-decrease with the increasing pressure. The boundary pressure between the slow increase stage and sudden increase stage remains unaffected by changes in water content and corresponds to the structural yield pressure of the saturated compression curve. Additionally, the peak collapsible coefficient and its corresponding pressure decreases with the increase of water content. The proposed model can accurately describe the variation of collapsibility coefficient of Q₂ loess with different water contents throughout the high pressure consolidation, which is of practical significance to evaluate the collapsibility of deep and thick Q₂ loess under water immersion and humidification.
- Q₂ loess /
- collapsible deformation /
- collapsible coefficient /
- pressure /
- water content /
- collapsible model

HTML全文

图 1 取样黄土剖面和取样层位

Figure 1.

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图 2 土样的粒径分布曲线

Figure 2.

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图 3 不同含水率试样的一维固结压缩曲线

Figure 3.

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图 4 结构屈服压力随含水率变化曲线

Figure 4.

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图 5 不同含水率黄土湿陷系数随压力变化曲线

Figure 5.

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图 6 压力相关湿陷系数模型

Figure 6.

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图 7 不同含水率黄土湿陷系数及模型计算曲线

Figure 7.

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图 8 模型参数与含水率关系曲线

Figure 8.

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图 9 Q₂黄土湿陷系数与压力及含水率的关系

Figure 9.

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表 1 泾阳Q₂黄土基本物理指标

Table 1. Basic physical parameters of Q₂ loess in Jingyang

土样	孔隙比	干密度/（g·cm⁻³）	颗粒比重	天然含水率/%	液限/%	塑限/%
黄土	0.727	1.57	2.71	17.3	28.8	18.5

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表 2 不同含水率下的结构屈服压力

Table 2. Structural yield pressure of different water content

含水率/%	12	15	18	21	25	30（饱和）
结构屈服压力/kPa	1104.0	883.6	737.3	563.1	426.7	390.9

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表 3 不同含水率下模型拟合参数

Table 3. Model parameters with different water content

含水率/%	拟合参数
含水率/%	a	δ_max	p_f/kPa	R²
9	0.3737	0.1635	3259.9	0.994
12	0.3603	0.0962	1817.2	0.988
15	0.3585	0.0866	1321.1	0.985
18	0.3165	0.0577	1166.1	0.961
21	0.1739	0.0445	1094.3	0.985
25	0.0479	0.0362	1050.2	0.978

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参考文献(22)

[1]	刘祖典. 影响黄土湿陷系数因素的分析[J]. 工程勘察,1994,22(5):6 − 11. [LIU Zudian. Analysis of factors affecting collapsibility coefficient of loess[J]. Geotechnical Investigation & Surveying,1994,22(5):6 − 11. (in Chinese)] LIU Zudian. Analysis of factors affecting collapsibility coefficient of loess[J]. Geotechnical Investigation & Surveying, 1994, 22（5）: 6 − 11. （in Chinese）
[2]	李萍,李同录. 黄土物理性质与湿陷性的关系及其工程意义[J]. 工程地质学报,2007,15(4):506 − 512. [LI Ping,LI Tonglu. Relation between loess collapsibility and physical properties and its engineering significance[J]. Journal of Engineering Geology,2007,15(4):506 − 512. (in Chinese with English abstract)] LI Ping, LI Tonglu. Relation between loess collapsibility and physical properties and its engineering significance[J]. Journal of Engineering Geology, 2007, 15（4）: 506 − 512. （in Chinese with English abstract）
[3]	唐辉,张瑞松,高建中. 延安新区黄土湿陷性与其物性指标的相关性分析[J]. 地基处理,2023,5(1):19 − 24. [TANG Hui,ZHANG Ruisong,GAO Jianzhong. Correlation analysis between collapsibility and physical properties of loess in Yan’an New District[J]. Journal of Ground Improvement,2023,5(1):19 − 24. (in Chinese with English abstract)] TANG Hui, ZHANG Ruisong, GAO Jianzhong. Correlation analysis between collapsibility and physical properties of loess in Yan’an New District[J]. Journal of Ground Improvement, 2023, 5（1）: 19 − 24. （in Chinese with English abstract）
[4]	骆亚生,谢定义,邢义川. 原状黄土的地区湿陷特性及其潜在湿陷率[J]. 西北农林科技大学学报(自然科学版),2002,30(5):90 − 95. [LUO Yasheng,XIE Dingyi,XING Yichuan. Regional collapse characteristics of intact loess and its rate of potential collapse[J]. Journal of Northwest Sci-Tech University of Agriculture and Forestry,2002,30(5):90 − 95. (in Chinese with English abstract)] doi: 10.3321/j.issn:1671-9387.2002.05.021 LUO Yasheng, XIE Dingyi, XING Yichuan. Regional collapse characteristics of intact loess and its rate of potential collapse[J]. Journal of Northwest Sci-Tech University of Agriculture and Forestry, 2002, 30（5）: 90 − 95. （in Chinese with English abstract） doi: 10.3321/j.issn:1671-9387.2002.05.021
[5]	张苏民,郑建国. 湿陷性黄土(Q₃)的增湿变形特征[J]. 岩土工程学报,1990,12(4):21 − 31. [ZHANG Sumin,ZHENG Jianguo. The deformation characteristics of collapsible loess during moistening process[J]. Chinese Journal of Geotechnical Engineering,1990,12(4):21 − 31. (in Chinese with English abstract)] ZHANG Sumin, ZHENG Jianguo. The deformation characteristics of collapsible loess during moistening process[J]. Chinese Journal of Geotechnical Engineering, 1990, 12（4）: 21 − 31. （in Chinese with English abstract）
[6]	雷胜友,唐文栋. 黄土在受力和湿陷过程中微结构变化的CT扫描分析[J]. 岩石力学与工程学报,2004,23(24):4166 − 4169. [LEI Shengyou,TANG Wendong. Analysis of microstructure change for loess in the process of loading and collapse with CT scanning[J]. Chinese Journal of Rock Mechanics and Engineering,2004,23(24):4166 − 4169. (in Chinese with English abstract)] doi: 10.3321/j.issn:1000-6915.2004.24.013 LEI Shengyou, TANG Wendong. Analysis of microstructure change for loess in the process of loading and collapse with CT scanning[J]. Chinese Journal of Rock Mechanics and Engineering, 2004, 23（24）: 4166 − 4169. （in Chinese with English abstract） doi: 10.3321/j.issn:1000-6915.2004.24.013
[7]	陈正汉,方祥位,朱元青,等. 膨胀土和黄土的细观结构及其演化规律研究[J]. 岩土力学,2009,30(1):1 − 11. [CHEN Zhenghan,FANG Xiangwei,ZHU Yuanqing,et al. Research on meso-structures and their evolution laws of expansive soil and loess[J]. Rock and Soil Mechanics,2009,30(1):1 − 11. (in Chinese with English abstract)] CHEN Zhenghan, FANG Xiangwei, ZHU Yuanqing, et al. Research on meso-structures and their evolution laws of expansive soil and loess[J]. Rock and Soil Mechanics, 2009, 30（1）: 1 − 11. （in Chinese with English abstract）
[8]	范文,魏亚妮,于渤,等. 黄土湿陷微观机理研究现状及发展趋势[J]. 水文地质工程地质,2022,49(5):144 − 156. [FAN Wen,WEI Yani,YU Bo,et al. Research progress and prospect of loess collapsible mechanism in micro-level[J]. Hydrogeology & Engineering Geology,2022,49(5):144 − 156. (in Chinese with English abstract)] FAN Wen, WEI Yani, YU Bo, et al. Research progress and prospect of loess collapsible mechanism in micro-level[J]. Hydrogeology & Engineering Geology, 2022, 49（5）: 144 − 156. （in Chinese with English abstract）
[9]	侯晓坤,翟张辉,晁建红,等. 黄土非饱和湿陷变形的计算模型[J]. 水文地质工程地质,2016,43(3):94 − 100. [HOU Xiaokun,ZHAI Zhanghui,CHAO Jianhong,et al. A model for predicting the unsaturated collapse deformation of loess[J]. Hydrogeology & Engineering Geology,2016,43(3):94 − 100. (in Chinese with English abstract)] HOU Xiaokun, ZHAI Zhanghui, CHAO Jianhong, et al. A model for predicting the unsaturated collapse deformation of loess[J]. Hydrogeology & Engineering Geology, 2016, 43（3）: 94 − 100. （in Chinese with English abstract）
[10]	朱凤基,南静静,魏颖琪,等. 黄土湿陷系数影响因素的相关性分析[J]. 中国地质灾害与防治学报,2019,30(2):128 − 133. [ZHU Fengji,NAN Jingjing,WEI Yingqi,et al. Mathematical statistical analysis on factors affecting collapsible coefficient of loess[J]. The Chinese Journal of Geological Hazard and Control,2019,30(2):128 − 133. (in Chinese with English abstract)] ZHU Fengji, NAN Jingjing, WEI Yingqi, et al. Mathematical statistical analysis on factors affecting collapsible coefficient of loess[J]. The Chinese Journal of Geological Hazard and Control, 2019, 30（2）: 128 − 133. （in Chinese with English abstract）
[11]	刘厚健,周天红. 从多个工程实践看Q₂黄土的湿陷性[C]//中国工程建设标准化协会湿陷性黄土委员会全国黄土学术会议论文集,北京:中国建筑工业出版社,2001:66 − 72. [LIU Houjian,ZHOU Tianhong. The collapsibility of Q₂ loess can be seen from a number of engineering practices [C]//Proceedings of the national loess academic conference of the collapsible loess committee of the china engineering construction standardization association,Beijing:China Architecture & Building Press,2001:66 − 72. (in Chinese)] LIU Houjian, ZHOU Tianhong. The collapsibility of Q₂ loess can be seen from a number of engineering practices [C]//Proceedings of the national loess academic conference of the collapsible loess committee of the china engineering construction standardization association, Beijing: China Architecture & Building Press, 2001: 66 − 72. （in Chinese）
[12]	王玉涛,刘小平,曹晓毅. 基于主成分分析法的Q₂黄土湿陷特性研究[J]. 水文地质工程地质,2020,47(4):141 − 148. [WANG Yutao,LIU Xiaoping,CAO Xiaoyi. A study of the collapsibility of Q₂ loess based on principal component analysis[J]. Hydrogeology & Engineering Geology,2020,47(4):141 − 148. (in Chinese with English abstract)] WANG Yutao, LIU Xiaoping, CAO Xiaoyi. A study of the collapsibility of Q₂ loess based on principal component analysis[J]. Hydrogeology & Engineering Geology, 2020, 47（4）: 141 − 148. （in Chinese with English abstract）
[13]	方祥位,申春妮,汪龙,等. Q₂黄土浸水前后微观结构变化研究[J]. 岩土力学,2013,34(5):1319 − 1324. [FANG Xiangwei,SHEN Chunni,WANG Long,et al. Research on microstructure of Q₂ loess before and after wetting[J]. Rock and Soil Mechanics,2013,34(5):1319 − 1324. (in Chinese with English abstract)] FANG Xiangwei, SHEN Chunni, WANG Long, et al. Research on microstructure of Q₂ loess before and after wetting[J]. Rock and Soil Mechanics, 2013, 34（5）: 1319 − 1324. （in Chinese with English abstract）
[14]	陈宝,喻达,胡鑫,等. 三门峡黄土湿陷特性及其与结构强度的关系[J]. 长江科学院院报,2018,35(11):149 − 153. [CHEN Bao,YU Da,HU Xin,et al. Collapsibility of Sanmenxia loess and its relation with structural strength[J]. Journal of Yangtze River Scientific Research Institute,2018,35(11):149 − 153. (in Chinese with English abstract)] CHEN Bao, YU Da, HU Xin, et al. Collapsibility of Sanmenxia loess and its relation with structural strength[J]. Journal of Yangtze River Scientific Research Institute, 2018, 35（11）: 149 − 153. （in Chinese with English abstract）
[15]	胡瑞林,官国琳,李向全,等. 黄土湿陷性的微结构效应[J]. 工程地质学报,1999,7(2):161. [HU Ruilin,GUAN Guolin,LI Xiangquan,et al. Microstructure effect of loess collapsibility[J]. Journal of Engineering Geology,1999,7(2):161. (in Chinese with English abstract)] HU Ruilin, GUAN Guolin, LI Xiangquan, et al. Microstructure effect of loess collapsibility[J]. Journal of Engineering Geology, 1999, 7（2）: 161. （in Chinese with English abstract）
[16]	刘保健,支喜兰,谢永利,等. 公路工程中黄土湿陷性问题分析[J]. 中国公路学报,2005,18(4):27 − 31. [LIU Baojian,ZHI Xilan,XIE Yongli,et al. Analysis of problems on loess hydrocompaction in highway engineering[J]. China Journal of Highway and Transport,2005,18(4):27 − 31. (in Chinese with English abstract)] LIU Baojian, ZHI Xilan, XIE Yongli, et al. Analysis of problems on loess hydrocompaction in highway engineering[J]. China Journal of Highway and Transport, 2005, 18（4）: 27 − 31. （in Chinese with English abstract）
[17]	李同录,冯文清,刘志伟,等. Q₂黄土湿陷系数试验压力取值的讨论[J]. 水文地质工程地质,2023,50(6):59 − 68. [LI Tonglu,FENG Wenqing,LIU Zhiwei,et al. A discussion of the test pressure of collapsible coefficient for Q₂ loess[J]. Hydrogeology & Engineering Geology,2023,50(6):59 − 68. (in Chinese with English abstract)] LI Tonglu, FENG Wenqing, LIU Zhiwei, et al. A discussion of the test pressure of collapsible coefficient for Q₂ loess[J]. Hydrogeology & Engineering Geology, 2023, 50（6）: 59 − 68. （in Chinese with English abstract）
[18]	HOU Xiaokun,VANAPALLI S K,LI Tonglu. Wetting-induced collapse behavior associated with infiltration:A case study[J]. Engineering Geology,2019,258:105146. doi: 10.1016/j.enggeo.2019.105146
[19]	李同录,习羽,侯晓坤. 水致黄土深层滑坡灾变机理[J]. 工程地质学报,2018,26(5):1113 − 1120. [LI Tonglu,XI Yu,HOU Xiaokun. Mechanism of surface water infiltration induced deep loess landslide[J]. Journal of Engineering Geology,2018,26(5):1113 − 1120. (in Chinese with English abstract)] LI Tonglu, XI Yu, HOU Xiaokun. Mechanism of surface water infiltration induced deep loess landslide[J]. Journal of Engineering Geology, 2018, 26（5）: 1113 − 1120. （in Chinese with English abstract）
[20]	中华人民共和国住房和城乡建设部,国家市场监督管理总局. 湿陷性黄土地区建筑标准:GB 50025—2018[S]. 北京:中国建筑工业出版社,2019. [Ministry of Housing and Urban-Rural Development of the People’s Republic of China,State Administration for Market Regulation. Standard for building construction in collapsible loess regions:GB 50025—2018[S]. Beijing:China Architecture & Building Press,2019. (in Chinese)] Ministry of Housing and Urban-Rural Development of the People’s Republic of China, State Administration for Market Regulation. Standard for building construction in collapsible loess regions: GB 50025—2018[S]. Beijing: China Architecture & Building Press, 2019. （in Chinese）
[21]	邵生俊,王丽琴,邵帅,等. 黄土的结构屈服及湿陷变形的分析[J]. 岩土工程学报,2017,39(8):1357 − 1365. [SHAO Shengjun,WANG Liqin,SHAO Shuai,et al. Structural yield and collapse deformation of loess[J]. Chinese Journal of Geotechnical Engineering,2017,39(8):1357 − 1365. (in Chinese with English abstract)] doi: 10.11779/CJGE201708001 SHAO Shengjun, WANG Liqin, SHAO Shuai, et al. Structural yield and collapse deformation of loess[J]. Chinese Journal of Geotechnical Engineering, 2017, 39（8）: 1357 − 1365. （in Chinese with English abstract） doi: 10.11779/CJGE201708001
[22]	关文章. 析黄土湿陷性曲线评其工程意义[J]. 勘察科学技术,1997(2):20 − 24. [GUAN Wenzhang. Analyzing the curves of collapsing loess and assessing its engineering significance[J]. Site Investigation Science and Technology,1997(2):20 − 24. (in Chinese with English abstract)] GUAN Wenzhang. Analyzing the curves of collapsing loess and assessing its engineering significance[J]. Site Investigation Science and Technology, 1997（2）: 20 − 24. （in Chinese with English abstract）