考虑水化和膨胀作用的泥岩统计损伤模型及验证

doi:10.13722/j.cnki.jrme.2023.0155

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摘要膨胀性泥岩遇水软化和膨胀性是其标志性物理特征，对工程岩体的稳定性有重要影响。为研究水化和膨胀作用对泥岩力学特性的影响，在Weibull分布统计损伤理论基础上，引入湿度应力场理论，通过膨胀应变来刻画泥岩的膨胀作用，同时考虑含水率的影响表征泥岩的水弱化作用，构建考虑水化作用和膨胀作用的统计损伤本构模型；在此基础上，借助不同含水率下泥岩试件的压缩试验结果对模型合理性进行验证，进一步分析线膨胀系数、含水率、残余强度、围压、比例参数和形状参数等对泥岩力学响应的影响特征。结果表明：(1) 与试验结果进行对比，发现所建立的统计损伤模型能够较好地描述和表征不同含水率条件下的泥岩力学响应规律。模型中的比例参数和形状参数均可以通过非线性函数与含水率相关，分别影响泥岩的峰值强度和峰后软化特征。(2) 泥岩的弹性模量、峰值强度和残余强度均有显著的遇水弱化特性，其水化程度对损伤演化过程有明显的影响，即含水率升高使得泥岩微元更容易发生破坏。(3) 线膨胀系数与峰值强度呈负线性关系，且膨胀作用使得岩石更容易进入峰后软化阶段；残余强度决定了峰后最终的承载能力，同时对峰后变形的延塑性具有一定的增强效应；随着围压的增加，泥岩的峰值强度和残余强度均表现出相应的增强效应，这与试验规律基本一致，表明所提出的统计损伤本构模型具有较好的合理性和可靠性。

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	丁秀丽
	樊炫廷
	黄书岭
	郁培阳
	张金鑫

关键词 ：岩石力学, 泥岩, 压缩试验, 水化作用, 膨胀性, 统计损伤模型

Abstract：Swelling mudstone exhibits distinct physical behaviors of softening and expansibility when exposed to water，which have a significant impact on the stability of engineering rock masses. In order to investigate the effects of hydration and expansion on the mechanical properties of mudstone，this study introduces the Weibull distribution statistical damage theory and the humidity stress field theory. The expansion strain of mudstone is used to represent its expansive behavior，while the influence of moisture content reflects the water weakening effect. A statistical damage constitutive model considering both hydration and expansion effects is developed. The model?s validity is verified by compression test results of mudstone specimens with varying water contents，establishing a quantitative relationship between the statistical parameters in the model and the water content. The effect of linear swelling coefficient，residual strength，confining pressure，proportional parameters and shape parameters on the mechanical response of mudstone is analyzed. The results demonstrate that：(1) The constructed statistical damage model effectively describes the mechanical response of mudstone under different water content conditions. The proportional parameters and shape parameters in the model are expressed as nonlinear functions of water content，influencing the peak strength and post-peak softening characteristics of mudstone，respectively. (2) Mudstone exhibits significant water weakening characteristics in terms of elastic modulus，peak strength and residual strength，with the degree of hydration significantly influencing the damage evolution process，making the mudstone microelements more susceptible to failure as the water content increases. (3) The linear swelling coefficient shows a negative linear relationship with the peak strength，and the swelling effect facilitates the transition of the rock to enter the post-peak softening stage. The residual strength determines the final bearing capacity after the peak，enhancement the post-peak deformation ductility. Moreover，increase of confining pressure，results in corresponding enhancements in peak strength and residual strength of mudstone，consistent with experimental observations，indicating the rationality and reliability of the proposed statistical damage constitutive model.

Key words： rock mechanics mudstone compression test hydration swelling statistical damage model

引用本文:

丁秀丽，樊炫廷，黄书岭，郁培阳，张金鑫. 考虑水化和膨胀作用的泥岩统计损伤模型及验证[J]. 岩石力学与工程学报, 2023, 42(11): 2601-2612.
DING Xiuli，FAN Xuanting，HUANG Shuling，YU Peiyang，ZHANG Jinxin. Statistical damage model of mudstone considering hydration and swelling and its verification. , 2023, 42(11): 2601-2612.

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http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2023.0155 或 http://rockmech.whrsm.ac.cn/CN/Y2023/V42/I11/2601

[6]	周翠英，邓毅梅，谭祥韶，等. 饱水软岩力学性质软化的试验研究与应用[J]. 岩石力学与工程学报，2005，24(1)：33-38.(ZHOU Cuiying，DENG Yimei，TAN Xiangshao，et al. Experimental research on the softening of mechanical properties of saturated soft rocks and application[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(1)：33-38.(in Chinese))
[16]	EINSTEIN H H. Suggested methods for laboratory testing of argillaceous swelling rocks[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1990，27(3)：A159-A159.
[26]	唐春安，徐小荷. 岩石全应力-应变过程的统计损伤理论分析[J]. 东北工学院学报，1987，(2)：191-195.(TANG Chun?an，XU Xiaohe. Statistical damage analysis of the rock complete stress-strain process[J]. Journal of Northeastern University：Natural Science，1987，(2)：191-195.(in Chinese))
[36]	JEAN L. A continuous damage mechanics model for ductile fracture[J]. Journal of Engineering Materials and Technology，1985，107(1)：335-344.
[5]	周翠英，朱凤贤，张磊. 软岩饱水试验与软化临界现象研究[J].岩土力学，2010，31(6)：1 709-1 715.(ZHOU Cuiying，ZHU Fengxian，ZHANG Lei. Research on saturation test and softening critical phenomena of soft rocks[J]. Rock and Soil Mechanics，2010，31(6)：1 709-1 715.(in Chinese))
[15]	GROB H. Swelling and heave in Swiss tunnels[J]. Bulletin of Engineering Geology and the Environment，1975，14(1)：55-60.
[17]	杨庆，廖国华，吴顺川. 膨胀岩三维膨胀本构关系的研究[J]. 岩石力学与工程学报，1995，14(1)：33-38.(YANG Qing，LIAO Guohua，WU Shunchuan. The research of 3D swelling constitutive relation of swelling rock[J]. Chinese Journal of Rock Mechanics and Engineering，1995，14(1)：33-38.(in Chinese))
[25]	FANG Z，HARRISON J P. Application of a local degradation model to the analysis of brittle fracture of laboratory scale rock specimens under triaxial conditions[J]. International Journal of Rock Mechanics and Mining Sciences，2002，39(4)：459-476.
[7]	范秋雁. 膨胀岩与工程[M]. 北京：科学出版社，2008：20-30.(FAN Qiuyan. Swelling rock and engineering[M]. Beijing：Science Press，2008：20-30.(in Chinese))
[37]	JEAN L. How to use damage mechanics[J]. Nuclear Engineering and Design，1984，80(2)：233-245.
[14]	HUDER J，AMBERG G. Quellung in mergel，opalinuston und anhydrit[J]. Schweizerische Bauzeitung，1970，43：975-980.
[29]	沈珠江. 结构性黏土的弹塑性损伤模型[J]. 岩土工程学报，1993，15(3)：21-28.(SHEN Zhujiang. An eiasto-piastic damage model for cemented clays[J]. Chinese Journal of Geotechnical Engineering，1993，15(3)：21-28.(in Chinese))
[10]	朱训国，杨庆. 膨胀岩的判别与分类标准[J]. 岩土力学，2009，30(增2)：174-177.(ZHU Xunguo，YANG Qing. Identification and classification of swelling rock[J]. Rock and Soil Mechanics，2009，30(Supp.2)：174-177.(in Chinese))
[20]	缪协兴，杨成永，陈至达. 膨胀岩体中的湿度应力场理论[J]. 岩土力学，1993，14(4)：49-55.(MIAO Xiexing，YANG Chengyong，CHENG Zhida. Humidity stress field theory in swelling rock mass[J]. Rock and Soil Mechanics，1993，14(4)：49-55.(in Chinese))
[30]	曹文贵，赵衡，李翔，等. 基于残余强度变形阶段特征的岩石变形全过程统计损伤模拟方法[J]. 土木工程学报，2012，45(6)：139-145.(CAO Wengui，ZHAO Heng，LI Xiang，et al. A statistical damage simulation method for rock full deformation process with consideration of the deformation characteristics of residual strength phase[J]. China Civil Engineering Journal，2012，45(6)：139-145.(in Chinese))
[3]	何满潮，周莉，李德建，等. 深井泥岩吸水特性试验研究[J]. 岩石力学与工程学报，2008，27(6)：1 113-1 120.(HE Manchao，ZHOU Li，LI Dejian，et al. Experimental research on hydrophilic characteristics of mudstone in deep well[J]. Chinese Journal of Rock Mechanics and Engineering，2008，27(6)：1 113-1 120.(in Chinese))
[13]	吴道祥，刘宏杰，王国强. 红层软岩崩解性室内试验研究[J]. 岩石力学与工程学报，2010，29(增2)：4 173-4 179.(WU Daoxiang，LIU Hongjie，WANG Guoqiang. Laboratory experimental study of slaking characteristics of red-bed soft rock[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(Supp.2)：4 173-4 179.(in Chinese))
[23]	王凯，刁心宏. 膨胀岩湿度应力场本构模型二次开发研究[J]. 岩石力学与工程学报，2015，34(增2)：3 781-3 792.(WANG Kai，DIAO Xinhong. Secondary development study of swelling rock humidity stress field constitutive model[J]. Chinese Journal of Rock Mechanics and Engineering，2015，34(Supp.2)：3 781-3 792.(in Chinese))
[27]	曹文贵，方祖烈，唐学军. 岩石损伤软化统计本构模型之研究[J]. 岩石力学与工程学报，1998，17(6)：628-633.(CAO Wengui，FANG Zulie，TANG Xuejun. A study of statistical constitutive model for soft and damage rocks[J]. Chinese Journal of Rock Mechanics and Engineering，1998，17(6)：628-633.(in Chinese))
[1]	STEINER W. Swelling rock in tunnels：Rock characterization，effect of horizontal stresses and construction procedures[J]. International Journal of Rock Mechanics and Mining Science and Geomechanics Abstracts，1993，30(4)：361-380.
[11]	文江泉，韩会增. 膨胀岩的判别与分类初探[J]. 铁道工程学报，1996，(2)：231-237.(WEN Jiangquan，HAN Huizeng. Preliminary study of distinguishing and classifying on swell rock[J]. Journal of Railway Engineering Society，1996，(2)：231-237.(in Chinese))
[21]	白冰，李小春. 湿度应力场理论的证明[J]. 岩土力学，2007，28(1)：89-92.(BAI Bing，LI Xiaochun. Proof of humidity stress field theory[J]. Rock and Soil Mechanics，2007，28(1)：89-92.(in Chinese))
[31]	王明年，胡云鹏，童建军，等. 高温变温环境下喷射混凝土-岩石界面剪切特性及温度损伤模型研究[J]. 岩石力学与工程学报，2019，38(1)：63-75.(WANG Mingnian，HU Yunpeng，TONG Jianjun，et al. Experimental study on shear mechanical properties and thermal damage model of shotcrete-rock interfaces under variable high temperatures[J]. Chinese Journal of Rock Mechanics and Engineering，2019，38(1)：63-75.(in Chinese))
[33]	邓华锋，胡安龙，李建林，等. 水岩作用下砂岩劣化损伤统计本构模型[J]. 岩土力学，2017，38(3)：631-639.(DENG Huafeng，HU Anlong，LI Jianlin，et al. Statistical damage constitutive model of sandstone under water-rock interaction[J]. Rock and Soil Mechanics，2017，38(3)：631-639.(in Chinese))
[35]	XIE S，LIN H，WANG Y，et al. A statistical damage constitutive model considering whole joint shear deformation[J]. International Journal of Damage Mechanics，2020，(4)：105678951990077.
[8]	范秋雁，梁昕，韩进仕. 非饱和膨胀岩饱和度及胀缩特性试验研究[J]. 岩石力学与工程学报，2020，39(1)：45-56.(FAN Qiuyan，LIANG Xin，HAN Jinshi. Experimental study on saturation and swelling-shrinkage characteristics of unsaturated expansive rocks[J]. Chinese Journal of Rock Mechanics and Engineering，2020，39(1)：45-56.(in Chinese))
[18]	刘晓丽，王思敬，王恩志，等. 含时间效应的膨胀岩膨胀本构关系[J]. 水利学报，2006，37(2)：195-199.(LIU Xiaoli，WANG Sijing，WANG Enzhi，et al. Study on time-dependent swelling constitute relation of swelling rock[J]. Journal of Hydraulic Engineering，2006，37(2)：195-199.(in Chinese))
[28]	曹文贵，张升. 基于Mohr-Coulomb准则的岩石损伤统计分析方法研究[J]. 湖南大学学报：自然科学版，2005，32(1)：43-47.(CAO Wengui，ZHANG Sheng. Study on the statistical analysis of rock damage based on Mohr-Coulomb criterion[J]. Journal of Hunan University：Natural Science，2005，32(1)：43-47.(in Chinese))
[4]	周翠英，梁宁，刘镇. 红层软岩遇水作用的孔隙结构多重分形特征[J]. 工程地质学报，2020，28(1)：1-9.(ZHOU Cuiying，LIANG Ning，LIU Zhen. Multifractal characteristics of pore structure of red beds soft rock at different saturations[J]. Journal of Engineering Geology，2020，28(1)：1-9.(in Chinese))
[24]	DRAGON A，MRÓZ Z. A model for plastic creep of rock-like materials accounting for the kinetics of fracture[J]. International Journal of Rock Mechanics and Mining Science and Geomechanics Abstracts，1979，16(4)：253-259.
[34]	王凯，蒋一峰，徐超. 不同含水率煤体单轴压缩力学特性及损伤统计模型研究[J]. 岩石力学与工程学报，2018，37(5)：1 070-1 079. (WANG Kai，JIANG Yifeng，XU Chao. Mechanical properties and statistical damage model of coal with different moisture contents under uniaxial compression[J]. Chinese Journal of Rock Mechanics and Engineering，2018，37(5)：1 070-1 079.(in Chinese))
[2]	ZUO C Q，CHEN J P. The stability analysis of expansive slope in Jing-Yi Expressway[J]. Journal of Zhejiang University：Science A：An International Applied Physics and Engineering Journal，2007，(2)：270-274.
[9]	范秋雁，徐炳连，朱真. 广西膨胀岩土滑坡治理工程实录[J]. 岩石力学与工程学报，2013，32(增2)：3 812-3 820.(FAN Qiuyan，XU Binglian，ZHU Zhen. Engineering cases of swelling rock and soil landslide treatment in Guangxi[J]. Chinese Journal of Rock Mechanics and Engineering，2013，32(Supp.2)：3 812-3 820.(in Chinese))
[12]	何山，朱珍德，王思敬. 膨胀岩的判别与分类方法探讨[J]. 水利水电科技进展，2006，(4)：62-64.(HE Shan，ZHU Zhende，WANG Sijing. Measures for discrimination and classification of swelling rocks[J]. Advances in Science and Technology of Water Resources，2006，(4)：62-64.(in Chinese))
[19]	左清军，陈可，谈云志，等. 基于时间效应的富水泥质板岩隧道围岩膨胀本构模型研究[J]. 岩土力学，2016，37(5)：1 357-1 364. (ZUO Qingjun，CHEN Ke，TAN Yunzhi，et al. A time-dependent constitutive model of the water-rich argillaceous slate surrounding a tunnel[J]. Rock and Soil Mechanics，2016，37(5)：1 357-1 364.(in Chinese))
[22]	郁时炼，茅献彪，卢爱红. 湿度场对膨胀岩巷道围岩变形影响规律的研究[J]. 采矿与安全工程学报，2006，23(4)：402-405.(YU Shilian，MAO Xianbiao，LU Aihong. Study of deformation rule of swelling rock roadway under the humidity field[J]. Journal of Mining and Safety Engineering，2006，23(4)：402-405.(in Chinese))
[32]	李赛，汪优，秦志浩，等. 基于统计损伤本构模型的改进桩-土接触面模型研究[J]. 岩土力学，2016，37(7)：1 947-1 955.(LI SAI，WANG You，QIN Zhihao，et al. An improved constitutive model for pile-soil interface based on a statistical damage constitutive model[J]. Rock and Soil Mechanics，2016，37(7)：1 947-1 955.(in Chinese))