Abstract
Understanding the frost deformation characteristics of rock with varying water contents under freeze–thaw conditions is of great significance to engineering construction activity in cold regions. In this study, sandstone samples with different degrees of water saturation were first prepared and then submitted to cyclic freeze–thaw experiments. Temperature sensors and strain gauges were attached to the samples so as to trace the temperature and strain changes. The changes in the major principal strain and minor principal strain against the temperature were individually explored. It is found that the sandstones exhibit heterogeneous frost deformation behaviors during the freeze–thaw cycle, and the heterogeneity of frost deformation is more considerable in terms of the sandstone with a higher degree of saturation based on the strain ellipse analysis. The coefficient of linear thermal expansion (CLTE), maximum frost heave strain and residual frost heave strain tend to increase exponentially with increasing the degree of saturation. These three parameters, however, are different from one another along the minor and major principal strain directions, which further gives evidence of the heterogeneous frost-heaving features of the sandstone. Finally, the crystallization pressures within a single pore and over the entire sandstone volume were theoretically calculated. It is verified that the resulting stress translated by the crystallization pressure for the 80% or higher saturation degree exceeds the tensile failure threshold, which explains the mechanisms that more considerable frost-heaving damage and heterogeneous behaviors are caused in the sandstone with a saturation degree of 80% or higher. The findings in this study help schedule feasible ways of alleviating the freeze–thaw-induced damage of rock mass in cold regions.
Highlights
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Integrated strain and temperature measurements of the partially saturated sandstones during the freeze–thaw cycle.
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Heterogeneous frost deformation was found in the partially saturated sandstones.
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More considerable heterogeneous frost deformation was generated in the sandstone with a higher degree of saturation.
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Data Availability
The data that support the findings of this study are available from the corresponding author upon reasonable request.
References
Al-Omari A, Beck K, Brunetaud X, Török Á, Al-Mukhtar M (2015) Critical degree of saturation: a control factor of freeze–thaw damage of porous limestones at Castle of Chambord, France. Eng Geol 185:71–80. https://doi.org/10.1016/j.enggeo.2014.11.018
Binal A (2009) A new laboratory rock test based on freeze–thaw using a steel chamber. Q J Eng GeolHydrogeol 42:179–198. https://doi.org/10.1144/1470-9236/08-040
Chen TC, Yeung MR, Mori N (2004) Effect of water saturation on deterioration of welded tuff due to freeze–thaw action. Cold Reg Sci Technol 38:127–136. https://doi.org/10.1016/j.coldregions.2003.10.001
Chen L, Zhao X, Liu J, Ma H, Wang C, Zhang H, Wang J (2023) Progress on rock mechanics research of Beishan granite for geological disposal of high-level radioactive waste in China. Rock Mech Bull 2:100046. https://doi.org/10.1016/j.rockmb.2023.100046
Coussy O (2006) Deformation and stress from in-pore drying-induced crystallization of salt. J Mech Phys Solids 54:1517–1547. https://doi.org/10.1016/j.jmps.2006.03.002
Coussy O, Monteiro P (2007) Unsaturated poroelasticity for crystallization in pores. Comput Geotech 34:279–290. https://doi.org/10.1016/j.compgeo.2007.02.007
Deprez M, De Kock T, De Schutter G, Cnudde V (2020a) A review on freeze–thaw action and weathering of rocks. Earth-Sci Rev 203:103143. https://doi.org/10.1016/j.earscirev.2020.103143
Deprez M, De Kock T, De Schutter G, Cnudde V (2020b) The role of ink-bottle pores in freeze-thaw damage of oolithic limestone. Constr Build Mater 246:118515. https://doi.org/10.1016/j.conbuildmat.2020.118515
Ding S, Jia H, Zi F, Dong Y, Yao Y (2020) Frost damage in tight sandstone: experimental evaluation and interpretation of damage mechanisms. Materials. https://doi.org/10.3390/ma13204617
Doppenschmidt A, Butt HJ (2000) Measuring the thickness of the liquid-like layer on ice surfaces with atomic force microscopy. Langmuir 16:6709–6714. https://doi.org/10.1021/la990799w
Espinosa-Marzal RM, Hamilton A, McNall M, Whitaker K, Scherer GW (2011) The chemomechanics of crystallization during rewetting of limestone impregnated with sodium sulfate. J Mater Res 26:1472–1481. https://doi.org/10.1557/jmr.2011.137
Everett DH (1961) The thermodynamics of frost damage to porous solids. Trans Faraday Soc 57:1541–1551. https://doi.org/10.1039/TF9615701541
Fan L, Fan Y, Xi Y, Gao J (2022) Spatially distributed damage in sandstone under stress–freeze–thaw coupling conditions. J Rock Mech Geotech Eng 14:1910–1922. https://doi.org/10.1016/j.jrmge.2022.04.007
Furuzumi M, Takeshita Y, Kurashige M, Nishimura F, Hirose K, Imai K (2004) Thermal and freezing strains on a face of wet sandstone samples under a subzero temperature cycle. J Therm Stresses 27:331–344. https://doi.org/10.1080/01495730490427573
Gao F, Li C, Xiong X, Zhang Y, Zhou K (2022) Dynamic behaviors of water-saturated and frozen sandstone subjected to freeze–thaw cycles. J Rock Mech Geotech Eng. https://doi.org/10.1016/j.jrmge.2022.11.007
Hashemi M, Bashiri Goudarzi M, Jamshidi A (2018) Experimental investigation on the performance of Schmidt hammer test in durability assessment of carbonate building stones against freeze–thaw weathering. Environ Earth Sci 77:684. https://doi.org/10.1007/s12665-018-7874-8
Huang J, Xia C, Han C, Shen S (2015) Study on the classification and evaluation method of the frost susceptibility of rock mass. Innov Mater Des Sustain Transport Infrastruct 2:28–41
Huang S, Cai Y, Liu Y, Liu G (2021) Experimental and theoretical study on frost deformation and damage of red sandstones with different water contents. Rock Mech Rock Eng 54:4163–4181. https://doi.org/10.1007/s00603-021-02509-9
Huang S, He Y, Yu S, Cai C (2022) Experimental investigation and prediction model for UCS loss of unsaturated sandstones under freeze-thaw action. Int J Min Sci Technol 32:41–49. https://doi.org/10.1016/j.ijmst.2021.10.012
İnce İ, Fener M (2016) A prediction model for uniaxial compressive strength of deteriorated pyroclastic rocks due to freeze–thaw cycle. J Afr Earth Sc 120:134–140. https://doi.org/10.1016/j.jafrearsci.2016.05.001
Ishizaki T, Maruyama M, Furukawa Y, Dash JG (1996) Premelting of ice in porous silica glass. J Cryst Growth 163:455–460. https://doi.org/10.1016/0022-0248(95)00990-6
Iwamatsu M, Horii K (1996) Capillary condensation and adhesion of two wetter surfaces. J Colloid Interface Sci 182:400–406. https://doi.org/10.1006/jcis.1996.0480
Jia H, Ding S, Wang Y, Zi F, Sun Q, Yang G (2019) An NMR-based investigation of pore water freezing process in sandstone. Cold Regions Sci Technol 168:102893. https://doi.org/10.1016/j.coldregions.2019.102893
Jia HL, Ding S, Zi F, Dong YH, Shen YJ (2020) Evolution in sandstone pore structures with freeze-thaw cycling and interpretation of damage mechanisms in saturated porous rocks. CATENA. https://doi.org/10.1016/j.catena.2020.104915
Lei D, Lin H, Wang Y (2022) Damage characteristics of shear strength of joints under freeze–thaw cycles. Arch Appl Mech 92:1615–1631. https://doi.org/10.1007/s00419-022-02136-y
Li J, Kaunda RB, Zhou K (2018) Experimental investigations on the effects of ambient freeze–thaw cycling on dynamic properties and rock pore structure deterioration of sandstone. Cold Reg Sci Technol 154:133–141. https://doi.org/10.1016/j.coldregions.2018.06.015
Li A, Niu F, Xia C, Bao C, Zheng H (2019) Water migration and deformation during freeze-thaw of crushed rock layer in Chinese high-speed railway subgrade: large scale experiments. Cold Regions Sci Technol 166:102841. https://doi.org/10.1016/j.coldregions.2019.102841
Liu Y, Cai Y, Huang S, Guo Y, Liu G (2020) Effect of water saturation on uniaxial compressive strength and damage degree of clay-bearing sandstone under freeze–thaw. Bull Eng Geol Env 79:2021–2036. https://doi.org/10.1007/s10064-019-01686-w
Liu C, Wang D, Wang Z, Ke B, Li P, Yu S (2021) Dynamic splitting tensile test of granite under freeze–thaw weathering. Soil Dyn Earthquake Eng 140:106411. https://doi.org/10.1016/j.soildyn.2020.106411
Liu B, Sun Y, Han Y, Liu N, Li T (2022) Laboratory investigation on mechanical and hydraulic properties of sandstone under freeze–thaw cycle. Environ Earth Sci 81:146. https://doi.org/10.1007/s12665-022-10179-1
Lv ZT, Xia CC, Li Q (2018) Experimental and numerical study on frost heave of saturated rock under uniform freezing conditions. J Geophys Eng 15:593–612. https://doi.org/10.1088/1742-2140/aa93ac
Lv Z, Xia C, Li Q, Si Z (2019) Empirical frost heave model for saturated rock under uniform and unidirectional freezing conditions. Rock Mech Rock Eng 52:955–963. https://doi.org/10.1007/s00603-018-1666-z
Lv Z, Luo S, Xia C, Zeng X (2022) A thermal-mechanical coupling elastoplastic model of freeze–thaw deformation for porous rocks. Rock Mech Rock Eng 55:3195–3212. https://doi.org/10.1007/s00603-022-02794-y
Mal’a M, Greif V, Ondrasik M (2022) Pore structure evolution in andesite rocks induced by freeze–thaw cycles examined by non-destructive methods. Sci Rep 12:8390. https://doi.org/10.1038/s41598-022-12437-5
Martínez-Martínez J, Benavente D, Gomez-Heras M, Marco-Castaño L, García-del-Cura MÁ (2013) Non-linear decay of building stones during freeze–thaw weathering processes. Constr Build Mater 38:443–454. https://doi.org/10.1016/j.conbuildmat.2012.07.059
Martins L, Vasconcelos G, Lourenço PB, Palha C (2016) Influence of the freeze–thaw cycles on the physical and mechanical properties of granites. J Mater Civ Eng 28:04015201. https://doi.org/10.1061/(ASCE)MT.1943-5533.0001488
Matsuoka N (1990) Mechanisms of rock breakdown by frost action: an experimental approach. Cold Reg Sci Technol 17:253–270. https://doi.org/10.1016/S0165-232X(05)80005-9
Meng FD, Zhai Y, Li YB, Zhao RF, Li Y, Gao H (2021) Research on the effect of pore characteristics on the compressive properties of sandstone after freezing and thawing. Eng Geol 286:106088. https://doi.org/10.1016/j.enggeo.2021.106088
Momeni A, Khanlari GR, Heidari M, Bagheri R, Bazvand E (2015) Assessment of physical weathering effects on granitic ancient monuments, Hamedan, Iran. Environ Earth Sci 74:5181–5190. https://doi.org/10.1007/s12665-015-4536-y
Mousavi SZS, Tavakoli H, Moarefvand P, Rezaei M (2020) Micro-structural, petro-graphical and mechanical studies of schist rocks under the freezing–thawing cycles. Cold Regions Sci Technol 174:103039. https://doi.org/10.1016/j.coldregions.2020.103039
Nakamura D, Goto T, Suzuki T, Ito Y, Yamashita S, Kawaguchi T, Yamasaki S (2012) Basic study on the frost heave pressure of rocks: dependence of the location of frost heave on the strength of the rock. Cold Regions Engineering 2012: Sustainable Infrastructure Development in a Changing Cold Environment
Nikolenko PV, Epshtein SA, Shkuratnik VL, Anufrenkova PS (2021) Experimental study of coal fracture dynamics under the influence of cyclic freezing–thawing using shear elastic waves. Int J Coal Sci Technol 8:562–574. https://doi.org/10.1007/s40789-020-00352-x
Prick A (1997) Critical degree of saturation as a threshold moisture level in frost weathering of limestones. Permafrost Periglac Process 8:91–99. https://doi.org/10.1002/(SICI)1099-1530(199701)8:1%3c91::AID-PPP238%3e3.0.CO;2-4
Qiao C, Wang Y, Li C, Yan B, Yang H, Xiao Y (2022) Catastrophe instability analysis of rock slopes with locked segments in open-pit mine due to freeze–thaw weathering. Bull Eng Geol Env 81:135. https://doi.org/10.1007/s10064-022-02635-w
Qin Z, Lai Y, Tian Y, Yu F (2019) Frost-heaving mechanical model for concrete face slabs of earthen dams in cold regions. Cold Reg Sci Technol 161:91–98. https://doi.org/10.1016/j.coldregions.2019.03.009
Scherer GW (1999) Crystallization in pores. Cem Concr Res 29:1347–1358. https://doi.org/10.1016/S0008-8846(99)00002-2
Shen Y-J, Wang Y-Z, Zhao X-D, Yang G-S, Jia H-L, Rong T-L (2018) The influence of temperature and moisture content on sandstone thermal conductivity from a case using the artificial ground freezing(AGF) method. Cold Reg Sci Technol 155:149–160. https://doi.org/10.1016/j.coldregions.2018.08.004
Soe AKK, Osada M, Win TTN (2010) Drying-induced deformation behaviour of Shirahama sandstone in no loading regime. Eng Geol 114:423–432. https://doi.org/10.1016/j.enggeo.2010.06.001
Song Y, Tan H, Yang H, Chen S, Che Y, Chen J (2021) Fracture evolution and failure characteristics of sandstone under freeze–thaw cycling by computed tomography. Eng Geol 294:106370. https://doi.org/10.1016/j.enggeo.2021.106370
Su Z, Tan X, Chen W, Jia H, Xu F (2022a) A model of unfrozen water content in rock during freezing and thawing with experimental validation by nuclear magnetic resonance. J Rock Mech Geotech Eng 14:1545–1555. https://doi.org/10.1016/j.jrmge.2021.10.009
Su Z, Tan X, Chen W, Ma W, Zhang C, Xu F (2022b) A combined non-destructive prediction method for evaluating the uniaxial compressive strength of rocks under freeze-thaw cycles. Arab J Sci Eng 47:13365–13379. https://doi.org/10.1007/s13369-022-06779-5
Sudisman RA, Yamabe T, Osada M (2015) Strain characteristic of dried rocks sample under freezing and thawing condition. 13th ISRM International Congress of Rock Mechanics, Montreal, Canada, 169
Wang Z, Zhu Z, Zhu S (2019) Thermo-mechanical-water migration coupled plastic constitutive model of rock subjected to freeze–thaw. Cold Reg Sci Technol 161:71–80. https://doi.org/10.1016/j.coldregions.2019.03.001
Wang T, Sun Q, Jia HL, Ren JT, Luo T (2021a) Linking the mechanical properties of frozen sandstone to phase composition of pore water measured by LF-NMR at subzero temperatures. Bull Eng Geol Env 80:4501–4513. https://doi.org/10.1007/s10064-021-02224-3
Wang Y, Zhang B, Li B, Li C (2021b) A strain-based fatigue damage model for naturally fractured marble subjected to freeze-thaw and uniaxial cyclic loads. Int J Damage Mech 30:1594–1616. https://doi.org/10.1177/10567895211021629
Wang T, Sun Q, Jia H, Shen Y, Li G (2022) Fracture mechanical properties of frozen sandstone at different initial saturation degrees. Rock Mech Rock Eng 55:3235–3252. https://doi.org/10.1007/s00603-022-02830-x
Wang T, Jia HL, Sun Q, Lu T, Tang LY, Shen YJ (2023) Pressure melting of pore ice in frozen rock under compression. Cold Regions Sci Technol. https://doi.org/10.1016/j.coldregions.2023.103856
Weng L, Wu ZJ, Liu QS (2020a) Dynamic mechanical properties of dry and water-saturated siltstones under sub-zero temperatures. Rock Mech Rock Eng 53:4381–4401. https://doi.org/10.1007/s00603-019-02039-5
Weng L, Wu Z, Taheri A, Liu Q, Lu H (2020b) Deterioration of dynamic mechanical properties of granite due to freeze-thaw weathering: considering the effects of moisture conditions. Cold Regions Sci Technol 176:103092. https://doi.org/10.1016/j.coldregions.2020.103092
Weng L, Wu Z, Liu Q, Chu Z, Zhang S (2021) Evolutions of the unfrozen water content of saturated sandstones during freezing process and the freeze-induced damage characteristics. Int J Rock Mech Min Sci 142:104757. https://doi.org/10.1016/j.ijrmms.2021.104757
Weng L, Wu ZJ, Chu ZF, Lu HF, Xu XY, Liu QS (2023) Evolution of the unfrozen water content for partially saturated sandstones and the critical degree of saturation. Rock Mech Rock Eng 56:1–18. https://doi.org/10.1007/s00603-022-03081-6
Wu H, Liu Y, Yang M, Zhang J, Zhang B (2023) Effect of temperature-dependent rock thermal conductivity and specific heat capacity on heat recovery in an enhanced geothermal system. Rock Mech Bull 2:100045. https://doi.org/10.1016/j.rockmb.2023.100045
Xie H, Lu J, Li C, Li M, Gao M (2022) Experimental study on the mechanical and failure behaviors of deep rock subjected to true triaxial stress: a review. Int J Min Sci Technol 32:915–950. https://doi.org/10.1016/j.ijmst.2022.05.006
Zhang J, Fu H, Huang Z, Wu Y, Chen W, Shi Y (2019) Experimental study on the tensile strength and failure characteristics of transversely isotropic rocks after freeze–thaw cycles. Cold Reg Sci Technol 163:68–77. https://doi.org/10.1016/j.coldregions.2019.04.006
Zhang S, Lin H, Chen Y, Wang Y, Zhao Y (2023) Analysis on the evolution of frost heaving pressure of penetrating crack considering water content and migration. SIMULATION 99:41–54. https://doi.org/10.1177/00375497221107935
Zhao P, Chen J, Luo Y, Li Y, Chen L, Wang C, Hu T (2020a) Field measurement of air temperature in a cold region tunnel in northeast China. Cold Regions Sci Technol 171:102957. https://doi.org/10.1016/j.coldregions.2019.102957
Zhao X, Zhang H, Lai H, Yang X, Wang X, Zhao X (2020b) Temperature field characteristics and influencing factors on frost depth of a highway tunnel in a cold region. Cold Regions Sci Technol 179:103141. https://doi.org/10.1016/j.coldregions.2020.103141
Zhao TB, Zhang PF, Xiao YX, Guo WY, Zhang YL, Zhang XF (2023) Master crack types and typical acoustic emission characteristics during rock failure. Int J Coal Sci Technol. https://doi.org/10.1007/s40789-022-00562-5
Acknowledgements
This work was supported by the National Natural Science Foundation of China (52004182, 52278412 and 42077246), Innovation Group Project of Hubei Provincial Natural Science Foundation (2023AFA003) and Fundamental Research Funds for the Central Universities (2042022kf1055 and 2042023kfyq03).
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Weng, L., Zhang, H., Wu, Z. et al. Heterogeneous Frost Deformation of Partially Saturated Sandstones Due to the Freeze–Thaw Cycle. Rock Mech Rock Eng 57, 61–77 (2024). https://doi.org/10.1007/s00603-023-03542-6
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DOI: https://doi.org/10.1007/s00603-023-03542-6