微生物加固砂土弹塑性本构模型

崔昊; 肖杨; 孙增春; 汪成贵; 梁放; 刘汉龙

doi:10.11779/CJGE202203009

微生物加固砂土弹塑性本构模型 English Version

崔昊^1,,
肖杨^{1, 2, 3, ,},
孙增春¹,
汪成贵¹,
梁放¹,
刘汉龙^{1, 2, 3}

1.
重庆大学土木工程学院, 重庆 400045
2.
重庆大学山地城镇建设与新技术教育部重点实验室, 重庆 400045
3.
库区环境地质灾害防治国家地方联合工程研究中心, 重庆 400045

基金项目:

国家自然科学基金项目 51922024

国家自然科学基金项目 52078085

国家自然科学基金项目 52178313

重庆市自然科学基金项目 cstc2019jcyjjqX0014

详细信息

作者简介:
崔昊(1991—)，男，博士研究生，主要从事胶结土本构模型及数值计算方面的研究。E-mail: cqucuihao1@163.com

通讯作者:
肖杨, E-mail：hhuxyanson@163.com

中图分类号: TU441
计量
- 文章访问数: 0133
- HTML全文浏览量: 0
- PDF下载量: 0179
出版历程
- 收稿日期: 2021-04-29
- 网络出版日期: 2022-09-22
- 刊出日期: 2022-02-28

Elastoplastic constitutive model for biocemented sands

CUI Hao^1,,
XIAO Yang^{1, 2, 3, ,},
SUN Zeng-chun¹,
WANG Cheng-gui¹,
LIANG Fang¹,
LIU Han-long^{1, 2, 3}

1.
School of Civil Engineering, Chongqing University, Chongqing 400045, China
2.
Key Laboratory of New Technology for Construction of Cities in Mountain Area, Chongqing University, Chongqing 400045, China
3.
National Joint Engineering Research Center of Geohazards Prevention in the Reservoir Areas, Chongqing 400045, China

摘要

摘要: 微生物诱导碳酸钙沉淀(MICP)是一种利用环境友好的微生物加固岩土体的新方法。试验结果表明，MICP加固砂的刚度，强度和剪胀性增强，可压缩性降低。针对MICP加固砂土的力学特性和变形特征，在临界状态土力学理论框架下，采用非关联流动法则，建立了微生物加固砂土的状态相关弹塑性本构模型。在新的胶结退化准则中，将胶结退化速率与塑性应变的累积和固结围压建立关系。微生物加固砂土三轴排水剪切试验的模拟结果表明所建立的本构模型可以较好地描述微生物加固砂土的应力–应变关系和剪胀行为，验证了模型的合理性。
- MICP加固砂土 /
- 状态参数 /
- 胶结作用 /
- 退化 /
- 本构模型
Abstract: The microbial-induced calcite precipitation (MICP) is a new method for reinforcing geotechnical materials with environmentally friendly bacteria. The test results show that the stiffness, strength and dilatancy of the MICP-treated sands are enhanced, while the compressibility is reduced. In view of the mechanical properties and deformation characteristics of the MICP-treated sands, a state-dependent elastoplastic constitutive model for the MICP-treated sands with non-associated flow rule is established in the framework of critical state soil mechanics theory. In the new cementation degradation rule, the cementation degradation rate is related to the accumulation of plastic strain and the confining pressure. Then, the drained triaxial tests on the MICP-treated sands are simulated by the proposed model. The results show that the proposed model can well simulate the stress-strain relationship and dilatancy behavior.
- MICP-treated sand /
- state parameter /
- cementation /
- degradation /
- constitutive model

HTML全文

图 1 MICP加固砂土机理示意图与SEM图^[20]

Figure 1. Schematic diagrams and SEM images^[20] of MICP-treated sands

下载: 全尺寸图片幻灯片

图 2 试验峰值应力点和破坏包络线

Figure 2. Test peak stress points and failure envelopes

下载: 全尺寸图片幻灯片

图 3 MICP加固石英砂和MICP加固钙质砂的临界状态线

Figure 3. Critical state lines of MICP-treated silica sand and MICP-treated calcareous sand

下载: 全尺寸图片幻灯片

图 4 砂土与MICP加固砂土的屈服面

Figure 4. Yield surfaces of sands and MICP-treated sands

下载: 全尺寸图片幻灯片

图 5 参数对模型预测的影响

Figure 5. Influences of parameters on model performance

下载: 全尺寸图片幻灯片

图 6 Ottawa 20/30砂和MICP加固Ottawa 20/30砂三轴排水试验结果与模型预测对比

Figure 6. Comparison between test results and model predictions on Ottawa 20/30 sand and MICP-treated Ottawa 20/30 sand under drained triaxial compression

下载: 全尺寸图片幻灯片

图 7 B_ca=1.8%和B_ca=3.5% MICP加固石英砂三轴排水试验结果与模型预测对比

Figure 7. Comparison between test results and model predictions on MICP-treated silica sand for B_ca=1.8% and B_ca=3.5% under drained triaxial compression

下载: 全尺寸图片幻灯片

图 8 CCC =25.5% MICP加固钙质砂三轴排水试验结果与模型预测对比

Figure 8. Comparison between test results and model predictions on MICP-treated calcareous sand for CCC =25.5% under drained triaxial compression

下载: 全尺寸图片幻灯片

表 1 模型分析参数

Table 1 Model analysis parameters

初始状态	弹性参数	临界状态参数	胶结作用参数	其他参数
${e_0} = 0.8$ ${p_{{\text{ic}}}} = 100$ kPa	$\mu$ =0.25 $\kappa = 0.005$	$\lambda = 0.08$	${p_{t0}} = 80$ kPa	${k_{\text{d}}} = 1.5$ ${k_{\text{b}}} = 1.0$ ${h_0} = 2.0$
		${M_{{\text{cs}}}} = 1.5$	${\xi _0} = 0.2$
		${e_{{\text{cs0}}}} = 1.2$	$\alpha = 0.01$
		$\chi = 0.1$	$\beta = 1.0$

下载: 导出CSV

表 2 模型计算参数

Table 2 Model parameters

参数	Ottawa 20/30砂	MICP 加固Ottawa 20/30砂	MICP 加固石英砂B_ca=1.8%	MICP 加固石英砂B_ca=3.5%	MICP加固钙质砂
$\mu$	0.32	0.30	0.30	0.30	0.25
$\lambda$	0.009	0.001	0.049	0.051	0.047
$\kappa$	0.001	0.015	0.005	0.005	0.002
${M_{{\text{cs}}}}$	1.29	1.43	1.23	1.42	1.43
${e_{{\text{cs0}}}}$	0.714	0.736	1.024	1.054	1.349
$\chi$	0.02	0.1	0.1	0.1	0.1
${k_{\text{d}}}$	2.5	1.5	1.5	1.2	1.5
${k_{\text{b}}}$	1.0	1.5	2.0	0.8	0.1
${h_0}$	0.8	5.0	1.5	2.5	3.5
${p_{{\text{t0}}}}$ /kPa	—	92.5	32.21	36.29	434.5
${\xi _0}$	—	0.28	0.21	0.15	0.27
$\alpha$	—	0.013	-0.016	0.01	-0.005
$\beta$	—	5.0	1.0	2.0	5.0

下载: 导出CSV

参考文献(35)

[1]	何稼, 楚剑, 刘汉龙, 等. 微生物岩土技术的研究进展[J]. 岩土工程学报, 2016, 38(4): 643–653. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201604010.htm HE Jia, CHU Jian, LIU Han-long, et al. Research advances in biogeotechnologies[J]. Chinese Journal of Geotechnical Engineering, 2016, 38(4): 643–653. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201604010.htm
[2]	刘汉龙, 肖鹏, 肖杨, 等. 微生物岩土技术及其应用研究新进展[J]. 土木与环境工程学报, 2019, 41(1): 1–14. https://www.cnki.com.cn/Article/CJFDTOTAL-JIAN201901001.htm LIU Han-long, XIAO Peng, XIAO Yang, et al. State-of- the-art review of biogeotechnology and its engineering applications[J]. Journal of Civil and Environmental Engineering, 2019, 41(1): 1–14. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JIAN201901001.htm
[3]	程晓辉, 麻强, 杨钻, 等. 微生物灌浆加固液化砂土地基的动力反应研究[J]. 岩土工程学报, 2013, 35(8): 1486–1495. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201308017.htm CHENG Xiao-hui, MA Qiang, YANG Zuan, et al. Dynamic response of liquefiable sand foundation improved by bio-grouting[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(8): 1486–1495. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201308017.htm
[4]	张鑫磊, 陈育民, 张喆, 等. 微生物灌浆加固可液化钙质砂地基的振动台试验研究[J]. 岩土工程学报, 2020, 42(6): 1023–1031. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC202006007.htm ZHANG Xin-lei, CHEN Yu-min, ZHANG Zhe, et al. Performance evaluation of liquefaction resistance of a MICP-treated calcareous sandy foundation using shake table tests[J]. Chinese Journal of Geotechnical Engineering, 2020, 42(6): 1023–1031. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC202006007.htm
[5]	马瑞男, 郭红仙, 程晓辉, 等. 微生物拌和加固钙质砂渗透特性试验研究[J]. 岩土力学, 2018, 39(增刊2): 217–223. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX2018S2031.htm MA Rui-nan, GUO Hong-xian, CHENG Xiao-hui, et al. A Permeability experiment study of calcareous sand treated by microbially induced carbonate precipitation using mixing methods[J]. Rock and Soil Mechanics, 2018, 39(S2): 217–223. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX2018S2031.htm
[6]	李贤, 汪时机, 何丙辉, 等. 土体适用MICP技术的渗透特性条件研究[J]. 岩土力学, 2019, 40(8): 2956–2964, 2974. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201908010.htm LI Xian, WANG Shi-ji, HE Bing-hui, et al. Permeability condition of soil suitable for MICP method[J]. Rock and Soil Mechanics, 2019, 40(8): 2956–2964, 2974. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201908010.htm
[7]	黄明, 张瑾璇, 靳贵晓, 等. 残积土MICP灌浆结石体冻融损伤的核磁共振特性试验研究[J]. 岩石力学与工程学报, 2018, 37(12): 2846–2855. https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX201812020.htm HUANG Ming, ZHANG Jin-xuan, JIN Gui-xiao, et al. Magnetic resonance image experiments on the damage feature of microbial induced calcite precipitated residual soil during freezing-thawing cycles[J]. Chinese Journal of Rock Mechanics and Engineering, 2018, 37(12): 2846–2855. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX201812020.htm
[8]	刘士雨, 俞缙, 韩亮, 等. 三合土表面微生物诱导碳酸钙沉淀耐水性试验研究[J]. 岩石力学与工程学报, 2019, 38(8): 1718–1728. https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX201908022.htm LIU Shi-yu, YU Jin, HAN Liang, et al. Experimental study on water resistance of tabia surface with microbially induced carbonate precipitation[J]. Chinese Journal of Rock Mechanics and Engineering, 2019, 38(8): 1718–1728. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX201908022.htm
[9]	欧孝夺, 莫鹏, 江杰, 等. 生石灰与微生物共同固化过湿性铝尾黏土试验研究[J]. 岩土工程学报, 2020, 42(4): 624–631. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC202004007.htm OU Xiao-duo, MO Peng, JIANG Jie, et al. Experimental study on solidification of bauxite tailing clay with quicklime and microorganism[J]. Chinese Journal of Geotechnical Engineering, 2020, 42(4): 624–631. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC202004007.htm
[10]	桂跃, 吴承坤, 刘颖伸, 等. 利用微生物技术改良泥炭土工程性质试验研究[J]. 岩土工程学报, 2020, 42(2): 269–278. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC202002011.htm GUI Yue, WU Chng-kun, LIU Ying-shen, et al. Improving engineering properties of peaty soil by biogeotechnology[J]. Chinese Journal of Geotechnical Engineering, 2020, 42(2): 269–278. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC202002011.htm
[11]	彭劼, 温智力, 刘志明, 等. 微生物诱导碳酸钙沉积加固有机质黏土的试验研究[J]. 岩土工程学报, 2019, 41(4): 733–740. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201904022.htm PENG Jie, WEN Zhi-li, LIU Zhi-ming, et al. Experimental research on MICP-treated organic clay[J]. Chinese Journal of Geotechnical Engineering, 2019, 41(4): 733–740. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201904022.htm
[12]	李驰, 王硕, 王燕星, 等. 沙漠微生物矿化覆膜及其稳定性的现场试验研究[J]. 岩土力学, 2019, 40(4): 1291–1298. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201904007.htm LI Chi, WANG Shuo, WANG Yan-xing, et al. Field experimental study on stability of bio-mineralization crust in the desert[J]. Rock and Soil Mechanics, 2019, 40(4): 1291–1298. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201904007.htm
[13]	支永艳, 邓华锋, 肖瑶, 等. 微生物灌浆加固裂隙岩体的渗流特性分析[J]. 岩土力学, 2019, 40(增刊1): 237–244. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX2019S1036.htm ZHI Yong-hua, DENG Hua-feng, XIAO Yao, et al. Analysis of seepage characteristics of fractured rock mass reinforced by microbial grouting[J]. Rock and Soil Mechanics, 2019, 40(S1): 237–244. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX2019S1036.htm
[14]	FENG K, MONTOYA B M. Influence of confinement and cementation level on the behavior of microbial-induced calcite precipitated sands under monotonic drained loading[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2016, 142(1): 04015057. doi: 10.1061/(ASCE)GT.1943-5606.0001379
[15]	LIU L, LIU H, STUEDLEIN A W, et al. Strength, stiffness, and microstructure characteristics of biocemented calcareous sand[J]. Can Geotech J, 2019, 56(10): 1502–1513. doi: 10.1139/cgj-2018-0007
[16]	MONTOYA B M, DEJONG J T. Stress-strain behavior of sands cemented by microbially induced calcite precipitation[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2015, 141(6): 04015019. doi: 10.1061/(ASCE)GT.1943-5606.0001302
[17]	CUI M J, ZHENG J J, ZHANG R J, et al. Influence of cementation level on the strength behaviour of bio-cemented sand[J]. Acta Geotechnica, 2017, 12(5): 971–986. doi: 10.1007/s11440-017-0574-9
[18]	方祥位, 李晶鑫, 李捷, 等. 珊瑚砂微生物固化体三轴压缩试验及损伤本构模型研究[J]. 岩土力学, 2018, 39(增刊1): 1–8. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX2018S1002.htm FANG Xiang-wei, LI Jing-xin, LI Jie, et al. Study of triaxial compression test and damage constitutive model of biocemented coral sand columns [J]. Rock and Soil Mechanics, 2018, 39(S1): 1–8. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX2018S1002.htm
[19]	GAI X R, SANCHEZ M. An elastoplastic mechanical constitutive model for microbially mediated cemented soils[J]. Acta Geotechnica, 2019, 14(3): 709–726. doi: 10.1007/s11440-018-0721-y
[20]	XIAO P, LIU H, STUEDLEIN A W, et al. Effect of relative density and bio-cementation on the cyclic response of calcareous sand[J]. Can Geotech J, 2019, 56(12): 1849–1862. doi: 10.1139/cgj-2018-0573
[21]	O'DONNELL T S, KAVAZANJIAN J E. Stiffness and dilatancy improvements in uncemented sands treated through micp[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2015, 141(11): 02815004. doi: 10.1061/(ASCE)GT.1943-5606.0001407
[22]	LIN H, SULEIMAN M T, BROWN D G, et al. Mechanical behavior of sands treated by microbially induced carbonate precipitation[J]. Journal of Geotechnical and Geo- environmental Engineering, 2016, 142(2): 13.
[23]	XIAO Y, WANG Y, DESAI C S, et al. Strength and deformation responses of biocemented sands using a temperature-controlled method[J]. International Journal of Geomechanics, 2019, 19(11): 04019120. doi: 10.1061/(ASCE)GM.1943-5622.0001497
[24]	CUI M J, ZHENG J J, CHU J, et al. Bio-mediated calcium carbonate precipitation and its effect on the shear behaviour of calcareous sand[J]. Acta Geotechnica, 2021, 16(5): 1377–1389. doi: 10.1007/s11440-020-01099-0
[25]	YAO Y P, LIU L, LUO T, et al. Unified hardening (UH) model for clays and sands[J]. Computers and Geotechnics, 2019, 110: 326–343. doi: 10.1016/j.compgeo.2019.02.024
[26]	BAUDET B, STALLEBRASS S. A constitutive model for structured clays[J]. Géotechnique, 2004, 54(4): 269–278. doi: 10.1680/geot.2004.54.4.269
[27]	CHEN Q S, INDRARATNA B, CARTER J, et al. A theoretical and experimental study on the behaviour of lignosulfonate-treated sandy silt[J]. Computers and Geotechnics, 2014, 61: 316–327. doi: 10.1016/j.compgeo.2014.06.010
[28]	LI X S, DAFALIAS Y, WANG Z L. State-dependant dilatancy in critical-state constitutive modelling of sand[J]. Can Geotech J, 1999, 36(4): 599–611. doi: 10.1139/t99-029
[29]	SHEN J, CHIU C F, NG C W W, et al. A state-dependent critical state model for methane hydrate-bearing sand[J]. Computers and Geotechnics, 2016, 75: 1–11. doi: 10.1016/j.compgeo.2016.01.013
[30]	LIU J, WANG S, JIANG M J, et al. A state-dependent hypoplastic model for methane hydrate-bearing sands[J]. Acta Geotechnica, 2021, 16(1): 77–91. doi: 10.1007/s11440-020-01076-7
[31]	NG C W W, BAGHBANREZVAN S, KADLICEK T, et al. A state-dependent constitutive model for methane hydrate-bearing sediments inside the stability region[J]. Géotechnique, 2020, 70(12): 1094–1108. doi: 10.1680/jgeot.18.P.143
[32]	BEEN K, JEFFERIES M G. A state parameter for sands[J]. Géotechnique, 1985, 35(2): 99–112. doi: 10.1680/geot.1985.35.2.99
[33]	LI X S, DAFALIAS Y F. Dilatancy for cohesionless soils[J]. Géotechnique, 2000, 50(4): 449–460. doi: 10.1680/geot.2000.50.4.449
[34]	XIAO Y, LIU H, CHEN Y, et al. Bounding surface model for rockfill materials dependent on density and pressure under triaxial stress conditions[J]. Journal of Engineering Mechanics, 2014, 140(4): 04014002. doi: 10.1061/(ASCE)EM.1943-7889.0000702
[35]	孙增春, 汪成贵, 刘汉龙, 等. 粗粒土边界面塑性模型及其积分算法[J]. 岩土力学, 2020, 41(12): 3957–3967. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX202012015.htm SUN Zeng-chun, WANG Cheng-gui, LIU Han-long, et al. Bounding surface plasticity model for granular soil and its integration algorithm[J]. Rock and Soil Mechanics, 2020, 41(12): 3957–3967. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX202012015.htm

施引文献(13)

期刊类型引用(11)

1.	蔺云宏，郝云龙，李明宇，田帅，常瑞成，刘新新. 基坑开挖引起下卧地铁盾构隧道变形的统计与预测方法研究. 河南科学. 2025(03): 337-346 . 百度学术
2.	张毅. 软弱地层下的基坑支护方案比选. 山西建筑. 2024(17): 97-100 . 百度学术
3.	王伟，邓松峰. 深厚软土区邻近地铁深基坑工程关键技术研究. 江苏建筑. 2024(05): 120-126 . 百度学术
4.	刘朝阳，蒋凯，梁禹. 基于Kerr地基模型的覆土荷载引起既有装配式地铁车站沉降分析. 现代隧道技术. 2024(05): 71-78 . 百度学术
5.	贺旭. 软弱地层基坑开挖支护方案比选研究. 铁道建筑技术. 2023(05): 100-104+125 . 百度学术
6.	张继新. 浅埋扩挖隧道变形处理技术分析. 交通世界. 2023(15): 138-140 . 百度学术
7.	邓彬，张磊，郑鹏鹏，陈保国，邹顺清. 深基坑开挖与内支撑调节对邻近沉井影响规律试验研究. 建筑科学与工程学报. 2023(05): 174-182 . 百度学术
8.	马少俊，王乔坎，苏凤阳，徐建章，郑伟，陈思源. 邻地铁盾构隧道超长基坑支护技术——以杭州大会展中心基坑工程为例. 建筑科学. 2022(05): 179-186 . 百度学术
9.	王丽萍. 水平间距对涉水隧道土体变形影响的模拟分析. 黑龙江水利科技. 2022(08): 74-76+108 . 百度学术
10.	冯文刚. 涉水隧道开挖对土体沉降影响分析. 黑龙江水利科技. 2022(08): 89-92 . 百度学术
11.	祖华. 城市地铁隧道开挖及变形控制的数值模拟研究. 山西建筑. 2022(21): 135-137 . 百度学术