低温饱和岩石未冻水含量与冻胀变形模型研究

doi:10.13722/j.cnki.jrme.2015.1157

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摘要寒区岩石在季节性温度变化下会经历冻胀融缩过程，研究低温岩石中未冻水含量以及冻胀变形规律是进行寒区工程数值仿真和稳定性分析的关键问题。岩石是不同于土体的脆性多孔介质材料，孔隙中的未冻水含量还无法通过实验直接测量；基于累计孔隙体积分布规律，考虑孔隙水的冻结点变化和未冻水膜的影响建立低温岩石未冻水含量理论表达式，实例证明该计算式具有较高的可靠度。假定岩石为弹性孔隙介质，基于孔隙冰与岩石孔隙间的膨胀耦合关系可计算冰压力；利用应变等价原理将孔隙中的冰压力等效为岩石表面的三向拉应力，从而根据弹性理论建立了有效冻胀力下低温饱和岩石冻胀变形模型。结果表明饱和岩石低温冻胀变形与岩石基质的力学参数、岩石孔隙率以及未冻水含量等因素有关。最后通过与2个已有的室内冻胀变形实验对比，说明本文冻胀变形模型的正确性以及实用性。

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	刘泉声1
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	黄诗冰1
	康永水1
	潘玉丛1

关键词 ：岩石力学, 冻岩, 未冻水含量, 有效冻胀力, 冻胀变形

Abstract：Seasonal temperature variation induces cyclic frost heaving and shrinkage of rock in cold regions. The unfrozen water content and frost heave in rock under low temperature are the key problems for numerical simulation and stability analysis of engineering in cold regions. Because rock，different from soil，is a brittle porous medium，its unfrozen water content cannot be directly measured experimentally. Considering the existence of unfrozen water films and the freezing point depression of pore water at low temperature，a theoretical expression of unfrozen water content in frozen rock was established with the assumed distribution function of accumulative pore volume，and the expression was validated to be reliable with examples. Assumed rock as the elastic porous medium，the ice pressure was derived on the condition of volume equality. The ice pressure in pores was considered to be equivalent to the triaxial tensile loads on the surface of rock and a frost heave model was thus established based on the elastic theory. The results show that the frost heaving strain in saturated frozen rock is a function of the mechanical parameters of rock matrix，porosity and unfrozen water content. Finally，the frost heave model was validated to be correct and practical by comparison with two existing frost heave experiments.

Key words： rock mechanics frozen rock unfrozen water content effective frost heaving stress frost heave

引用本文:

刘泉声1，2，黄诗冰1，康永水1，潘玉丛1. 低温饱和岩石未冻水含量与冻胀变形模型研究[J]. 岩石力学与工程学报, 2016, 35(10): 2000-2012.
LIU Quansheng1，2，HUANG Shibing1，KANG Yongshui1，PAN Yucong1. Study of unfrozen water content and frost heave model for saturated rock under low temperature. , 2016, 35(10): 2000-2012.

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http://www.rockmech.org/CN/10.13722/j.cnki.jrme.2015.1157 或 http://www.rockmech.org/CN/Y2016/V35/I10/2000

[21]	WETTLAUFER J S，WORSTER M G. Premelting dynamics[J]. Annual Review of Fluid Mechanics，2006，38：427-452. " target="_blank">
[39]	DAVIS S H. Theory of solidification[M]. Cambridge：Cambridge University Press，2001：9-12. " target="_blank">
[11]	AKAGAWA S，FUKUDA M. Frost heave mechanism in welded tuff[J]. Permafrost and Periglacial Processes，1991，2(4)：301-309. " target="_blank">
[23]	高世桥，刘海鹏. 毛细力学[M]. 北京：科学出版社，2010：25-45.(GAO Shiqiao，LIU Haipeng. Capillary mechanics[M]. Beijing：Science Press，2010：25-45.(in Chinese)) " target="_blank">
[10]	MELLOR M. Phase composition of pore water in cold rocks[R]. [S. l.]：Research Report of CRREL，1970. " target="_blank">
[40]	吴家龙. 弹性力学[M]. 上海：同济大学出版社：1993：296-300. (WU Jialong. Elastic mechanics[M]. Shanghai：Tongji University Press，1993：296-300.(in Chinese)) " target="_blank">
[36]	VLAHOU I，WORSTER M G. Ice growth in a spherical cavity of a porous medium[J]. Journal of Glaciology，2010，56(196)：271-277. " target="_blank">
[7]	PRICK A. Dilatometrical behaviour of porous calcareous rock samples subjected to freeze-thaw cycles[J]. Catena，1995，25(1)：7-20. " target="_blank">
[12]	JOHANNESSON B. Dimensional and ice content changes of hardened concrete at different freezing and thawing temperatures[J]. Cement and Concrete Composites，2010，32(1)：73-83.
[19]	谭贤君. 高海拔寒区隧道冻胀机理及其保温技术研究[博士学位论文][D]. 武汉：中国科学院武汉岩土力学研究所，2010.(TAN Xianjun. Study on the mechanical of frost heave of tunnel in cold region with high altitude and related insulation technology[Ph. D. Thesis][D]. Wuhan：Institute of Rock and Soil Mechanics，Chinese Academy of Sciences，2010.(in Chinese)) " target="_blank">
[4]	夏才初，黄继辉，韩常领，等. 寒区隧道岩体冻胀率的取值方法和冻胀敏感性分级[J]. 岩石力学与工程学报，2013，32(9)：1 876- 1 885.(XIA Caichu，HUANG Jihui，HAN Changling，et al. Methods of frost-heave ratio evalution and classification of frost-heave susceptibility of tunnel surrounding rock in cold regions[J]. Chinese Journal of Rock Mechanics and Engineering，2013，32(9)：1 876- 1 885.(in Chinese))
[6]	YAMABE T，NEAUPANE K M. Determination of some thermo- mechanical properties of Sirahama sandstone under subzero temperature condition[J]. International Journal of Rock Mechanics and Mining Sciences，2001，38(7)：1 029-1 034. " target="_blank">
[16]	KOZLOWSKI T. A semi-empirical model for phase composition of water in clay-water systems[J]. Cold Regions Science and Technology，2007，49(3)：226-236. " target="_blank">
[18]	陈卫忠，谭贤君，于洪丹，等. 低温及冻融环境下岩体热，水，力特性研究进展与思考[J]. 岩石力学与工程学报，2011，30(7)：1 318- 1 336.(CHEN Weizhong，TAN Xianjun，YU Hongdan，et al. Advance and review on thermo-hydro-mechanical characteristics of rock mass under condition of low temperature and freeze-thaw cycles[J]. Chinese Journal of Rock Mechanics and Engineering，2011，30(7)：1 318- 1 336.(in Chinese))
[22]	ZENG Q，FEN-CHONG T，LI K F. Elastic behavior of saturated porous materials under undrained freezing[J]. Acta Mechanica Sinica，2013，29(6)：827-835.
[28]	JU Y，YANG Y M，SONG Z D，et al. A statistical model for porous structure of rocks[J]. Science in China Series E：Technological Sciences，2008，51(11)：2 040-2 058. " target="_blank">
[2]	田俊峰，杨更社，刘慧. 寒区岩石隧道冻害机理及防治研究[J]. 地下空间与工程学报，2008，27(增2)：1 484-1 489.(TIAN Junfeng，YANG Gengshe，LIU Hui. Study on the freezing damage mechanism and its prevention in cold region rock tunnel[J]. Chinese Journal of Underground Space and Engineering，2008，27(Supp.2)：1 484- 1 489.(in Chinese)) " target="_blank">
[14]	DROTZ S H，TILSTON E L，SPARRMAN T，et al. Contributions of matric and osmotic potentials to the unfrozen water content of frozen soils[J]. Geoderma，2009，148(3)：392-398. " target="_blank">
[26]	DÖPPENSCHMIDT A，BUTT H J. Measuring the thickness of the liquid-like layer on ice surfaces with atomic force microscopy[J]. Langmuir，2000，16(16)：6 709-6 714. " target="_blank">
[30]	BENAVENTE D，GARCIA DEL CURA M A，FORT R，et al. Thermodynamic modelling of changes induced by salt pressure crystallisation in porous media of stone[J]. Journal of Crystal growth，1999，204(1/2)：168-178. " target="_blank">
[34]	WATANABE K，MIZOGUCHI M. Amount of unfrozen water in frozen porous media saturated with solution[J]. Cold Regions Science and Technology，2002，34(2)：103-110. " target="_blank">
[35]	TULLER M，OR D. Hydraulic functions for swelling soils：pore scale considerations[J]. Journal of hydrology，2003，272(1)：50-71. " target="_blank">
[38]	COUSSY O. Poromechanics of freezing materials[J]. Journal of the Mechanics and Physics of Solids，2005，53(8)：1 689-1 718. " target="_blank">
[42]	YAVUZ H，ALTINDAG R，SARAC S，et al. Estimating the index properties of deteriorated carbonate rocks due to freeze-thaw and thermal shock weathering[J]. International Journal of Rock Mechanics and Mining Sciences，2006，43(5)：767-775. " target="_blank">
[44]	NEAUPANE K M，YAMABE T，YOSHINAKA R. Simulation of a fully coupled thermo-hydro-mechanical system in freezing and thawing rock[J]. International Journal of Rock Mechanics and Mining Sciences，1999，36(5)：563-580. " target="_blank">
[5]	INADA Y，KINOSHITA N，EBISAWA A，et al. Strength and deformation characteristics of rocks after undergoing thermal hysteresis of high and low temperatures[J]. International Journal of Rock Mechanics and Mining Sciences，1997，34(3)：688-694. " target="_blank">
[17]	LIU B， LI D. A simple test method to measure unfrozen water content in clay-water systems[J]. Cold Regions Science and Technology，2012，78：97-106. " target="_blank">
[24]	WU T，LIAW H C，CHEN Y Z. Thermal effect of surface tension on the inward solidification of spheres[J]. International Journal of Heat and Mass Transfer，2002，45(10)：2 055-2 065. " target="_blank">
[29]	DANA E，SKOCZYLAS F. Gas relative permeability and pore structure of sandstones[J]. International Journal of Rock Mechanics and Mining Sciences，1999，36(5)：613-625. " target="_blank">
[31]	LOMBOY G，SUNDARARAJAN S，WANG K，et al. A test method for determining adhesion forces and Hamaker constants of cementitious materials using atomic force microscopy[J]. Cement and Concrete Research，2011，41(11)：1 157-1 166. " target="_blank">
[41]	刘泉声，黄诗冰，康永水，等. 岩体冻融疲劳损伤模型与评价指标研究[J]. 岩石力学与工程学报，2015，34(6)：1 116-1 127.(LIU Quansheng，HUANG Shibing，KANG Yongshui，et al. Study of fatigue damage model and evaluation index for rock mass under freeze- thaw[J]. Chinese Journal of Rock Mechanics and Engineering，2015，34(6)：1 116-1 127.(in Chinese))
[43]	李春光，王水林，郑宏，等. 多孔介质孔隙率与体积模量的关系[J]. 岩土力学，2007，28(2)：293-296.(LI Chunguang，WANG Shuilin，ZHENG Hong，et al. Relation between bulk modulus and porosity of porous medium[J]. Rock and Soil Mechanics，2007，28(2)：293-296.(in Chinese))
[1]	AOKI K，HIBIYA K，YOSHIDA T. Storage of refrigerated liquefied gases in rock caverns：characteristics of rock under very low temperatures[J]. Tunnelling and Underground Space Technology，1990，5(4)：319-325. " target="_blank">
[3]	GRUBER S，HAEBERLI W. Permafrost in steep bedrock slopes and its temperature-related destabilization following climate change[J]. Journal of Geophysical Research：Earth Surface，2007，112：F02S18. " target="_blank">
[8]	MATSUOKA N. Mechanisms of rock breakdown by frost action：an experimental approach[J]. Cold Regions Science and Technology，1990，17(3)：253-270. " target="_blank">
[9]	康永水，刘泉声，赵军，等. 岩石冻胀变形特征及寒区隧道冻胀变形模拟[J]. 岩石力学与工程学报，2012，31(12)：2 518-2 526. (KANG Yongshui，LIU Quansheng，ZHAO Jun，et al. Research on frost deformation characteristics of rock and simulation of tunnel frost deformation in cold region[J]. Chinese Journal of Rock Mechanics and Engineering，2012，31(12)：2 518-2 526.(in Chinese))
[13]	WEN Z，MA W，FENG W，et al. Experimental study on unfrozen water content and soil matric potential of Qinghai—Tibetan silty clay[J]. Environmental Earth Sciences，2012，66(5)：1 467-1 476. " target="_blank">
[15]	WATANABE K，MIZOGUCHI M. Amount of unfrozen water in frozen porous media saturated with solution[J]. Cold Regions Science and Technology，2002，34(2)：103-110. " target="_blank">
[20]	徐光苗. 寒区岩体低温、冻融损伤力学特性及多场耦合研究[博士学位论文][D]. 武汉：中国科学院武汉岩土力学研究所，2006.(XU Guangmiao. Study on mechanical charateristics and multiphysical coupling problems of rock at low temperatures[Ph. D. Thesis][D]. Wuhan：Wuhan Institute of Rock and Soil Mechanics，Chinese Academy of Sciences，2006.(in Chinese)) " target="_blank">
[25]	LIU L，YE G，SCHLANGEN E，et al. Modeling of the internal damage of saturated cement paste due to ice crystallization pressure during freezing[J]. Cement and Concrete Composites，2011，33(5)：562-571.
[27]	KATE J M，GOKHALE C S. A simple method to estimate complete pore size distribution of rocks[J]. Engineering geology，2006，84(1)：48-69. " target="_blank">
[32]	张玉军. 模拟冻-融过程的热-水-应力耦合模型及数值分析[J]. 固体力学学报，2009，30(4)：409-415.(ZHANG Yujun. Coupled thermo-hydro-mechanical model and numerical analysis for simulation of freezing-thawing process[J]. Chinese Journal of solid mechanics，2009，30(4)：409-415.(in Chinese))
[33]	COUSSY O，MONTEIRO P J M. Poroelastic model for concrete exposed to freezing temperatures[J]. Cement and Concrete Research，2008，38(1)：40-48.
[37]	刘泉声，黄诗冰，康永水，等. 裂隙冻胀压力及其对岩体造成的损伤机理初步研究[J]. 岩土力学，2016，37(6)：1 530-1 542.(LIU Quansheng，HUANG Shibing，KANG Yongshui，et al. Preliminary study of frost heave pressure and its influence on crack and deterioration mechanisms of rock mass[J]. Rock and Soil Mechanics，2016，37(6)：1 530-1 542.(in Chinese)) " target="_blank">
[45]	杨科，袁亮，祁连光，等. 淮南矿区11-2煤顶板岩石单轴抗压强度预测模型构建[J]. 岩石力学与工程学报，2013，32(10)： 1 991-1 998.(YANG Ke，YUAN Liang，QI Lianguang，et al. Establishing predictive model for rock uniaxial compressive strength of NO.11-2 coal seam roof in Huainan mining area[J]. Chinese Journal of Rock Mechanics and Engineering，2013，32(10)：1 991- 1 998.(in Chinese)) " target="_blank">