深低温环境岩石力学与工程研究进展

doi:10.3724/1000-6915.jrme.2024.0891

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Abstract In low-temperature environments, the physical and mechanical properties of rocks, as well as their engineering behavior, differ significantly from those at ambient temperature, primarily due to water-ice phase transitions. These differences become more pronounced as the temperature decreases. Considering industry-specific low-temperature classification standards and the environmental conditions of geotechnical engineering, a refined low-temperature zoning framework tailored to geomechanics is proposed, defining the threshold for “deep low temperatures” and further subdividing it into “extreme low temperatures” and “ultra-low temperatures.” Based on findings from laboratory experiments, theoretical analyses, and numerical simulations, this study provides a systematic review of the physical and mechanical properties of rocks under deep low-temperature, with a particular focus on the temperature-dependent evolution of key parameters such as porosity, elastic wave velocity, thermal conductivity, elastic modulus, and mechanical strength. Furthermore, by employing the thermo-hydro-mechanical (THM) coupling models, the mechanisms by which frost heave effects, thermal stress distribution, and water migration contribute to rock damage are analyzed. Numerical simulations reveal the coupled evolution characteristics of the temperature, stress, and seepage fields, as well as their underlying roles in the accumulation and progression of rock damage. Additionally, key scientific and technological challenges associated with deep low-temperature rock mechanics are examined in the context of engineering applications, such as underground energy storage, liquid nitrogen-based waterless fracturing, polar infrastructure, and deep-space resource extraction. Finally, based on current theoretical advancements, technological developments, and engineering demands, several future research directions in rock mechanics under deep low-temperature conditions are proposed. These include investigations into the micro-scale phase transition dynamics and multi-scale damage mechanisms of rocks in deep low temperatures, the development of non-equilibrium multi-field coupling theoretical frameworks, and the spatiotemporal prediction of long-term rock performance under deep low-temperature conditions.

Key words： rock mechanics deep low-temperature thermal stress frost heaving pressure multi-field coupling effects

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	TAN Xianjun1
	LIU Xianhuan2
	CHEN Weizhong1
	JIA Hailiang2
	ZHENG Peichao1
	3
	LIU Jie4
	ZHAO Yanxing5
	XIAO Hongmei5
	LI Nana6
	ZHAO Yanqiang6

Cite this article:

TAN Xianjun1,LIU Xianhuan2,CHEN Weizhong1, et al. Advances in rock mechanics and engineering research in deep low-temperature environments[J]. , 2025, 44(7): 1671-1694.

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https://rockmech.whrsm.ac.cn/EN/10.3724/1000-6915.jrme.2024.0891 OR https://rockmech.whrsm.ac.cn/EN/Y2025/V44/I7/1671

[1]	QU H，TANG S，LIU Y，et al. Characteristics of complex fractures by liquid nitrogen fracturing in brittle shales[J]. Rock Mechanics and Rock Engineering，2022，55(4)：1 807-1 822.
[2]	LIN H，HAN Y，LIANG S，et al. Effects of low temperatures and cryogenic freeze-thaw cycles on concrete mechanical properties：A literature review[J]. Construction and Building Materials，2022，345：128287.
[3]	EVGENIYA KRIVONOS. Stakeholder engagement plan：Arctic LNG2 project-environmental，social and health impact assessment[R]. Moscow：Ramboll CIS/LLC，2021.
[4]	CHA S，BAE G，LEE K，et al. Evaluation of drainage system around a lined pilot cavern for underground cryogenic LNG storage[J]. Tunnelling and underground space technology，2008，23(4)：360-372.
[5]	XU L，PEI Z，ZOU Y，et al. China?s lunar and deep space exploration program for the next decade(2020-2030)[J]. Chinese Journal of Space Science，2020，40(5)：615-617.
[6]	高朝辉，童科伟，时剑波，等. 载人火星和小行星探测任务初步分析[J]. 深空探测学报，2015，2(1)：10-19.(GAO Zhaohui，TONG Kewei，SHI Jianbo，et al. Analysis of the manned mars and asteroid missions[J]. Journal of Deep Space Exploration，2015，2(1)：10-19.(in Chinese))
[7]	WANG T，SUN Q，JIA H，et al. Fracture mechanical properties of frozen sandstone at different initial saturation degrees[J]. Rock Mechanics and Rock Engineering，2022，55(6)：3 235-3 252.
[8]	贾海梁，王亚彪，魏尧，等. 基于电阻的冻结砂砾土孔隙冰压融效应研究[J]. 岩土力学，2024，45(8)：2 221-2 231.(JIA Hailiang，WANG Yabiao，WEI Yao，et al. A resistivity-based study on the pressure melting of pore ice in frozen gravel soil[J]. Rock and Soil Mechanics，2024，45(8)：2 221-2 231.(in Chinese))
[9]	WANG T，SUN Q，JIA H，et al. Linking the mechanical properties of frozen sandstone to phase composition of pore water measured by LF-NMR at subzero temperatures[J]. Bulletin of Engineering Geology and the Environment，2021，80(6)：4 501-4 513.
[10]	谭贤君，陈卫忠，贾善坡，等. 含相变低温岩体水热耦合模型研究[J]. 岩石力学与工程学报，2008，27(7)：1 455-1 461.(TAN Xianjun，CHEN Weizhong，JIA Shanpo，et al. A coupled hydro-thermal model for low temperature rock including phase change[J]. Chinese Journal of Rock Mechanics and Engineering，2008，27(7)：1 455-1 461. (in Chinese))
[11]	WANG T，JIA H，SUN Q，et al. Pressure melting of pore ice in frozen rock under compression[J]. Cold Regions Science and Technology，2023，210：103856.
[12]	ZHENG P，TAN X，JIA H，et al. A unified model for frost wedging in an open fissure under unidirectional freezing[J]. International Journal of Rock Mechanics and Mining Sciences，2024，176：105726.
[13]	YANG L，JIA H，HAN L，et al. Hysteresis in the ultrasonic parameters of saturated sandstone during freezing and thawing and correlations with unfrozen water content[J]. Journal of Rock Mechanics and Geotechnical Engineering，2021，13(5)：1 078-1 092.
[14]	CHRISTIANSEN H H. Thermal regime of ice‐wedge cracking in Adventdalen，Svalbard[J]. Permafrost and Periglacial Processes，2005，16(1)：87-98.
[15]	HALES T C，ROERING J J. Climatic controls on frost cracking and implications for the evolution of bedrock landscapes[J]. Journal of Geophysical Research：Earth Surface，2007，112(F2)：F02033.
[16]	ISHIKAWA M，KURASHIGE Y，HIRAKAWA K. Analysis of crack movements observed in an alpine bedrock cliff[J]. Earth Surface Processes and Landforms：the Journal of the British Geomorphological Research Group，2004，29(7)：883-891.
[17]	SU Z，TAN X，CHEN W，et al. A model of unfrozen water content in rock during freezing and thawing with experimental validation by nuclear magnetic resonance[J]. Journal of Rock Mechanics and Geotechnical Engineering，2022，14(5)：1 545-1 555.
[18]	TAN X，CHEN W，TIAN H，et al. Water flow and heat transport including ice/water phase change in porous media：Numerical simulation and application[J]. Cold Regions Science and Technology，2011，68(1/2)：74-84.
[19]	SU Z，MA Y，TAN X，et al. Experimental and theoretical study of the shear strength of ice-rock interface[J]. Cold Regions Science and Technology，2024，218：104076.
[20]	JIA H，LEITH K，KRAUTBLATTER M. Path-dependent frost-wedging experiments in fractured，low-permeability granite[J]. Permafrost and Periglacial Processes，2017，28(4)：698-709.
[21]	贾海梁，赵思琪，丁顺，等. 含水裂隙冻融过程中冻胀力演化及影响因素研究[J]. 岩石力学与工程学报，2022，41(9)：1 832-1 845. (JIA Hailiang，ZHAO Siqi，DING Shun，et al. Study on the evolution and influencing factors of frost heaving force of water-bearing cracks during freezing-thawing process[J]. Chinese Journal of Rock Mechanics and Engineering，2022，41(9)：1 832-1 845.(in Chinese))
[22]	谢剑，崔宁，姜晓峰. 混凝土超低温冻融循环损伤机制及控制措施[J]. 硅酸盐通报，2018，37(8)：2 367-2 371.(XIE Jian，CUI Ning，JIANG Xiaofeng. Mechanism and improvement of freeze-thaw deterioration of concrete under ultra-low temperature[J]. Bulletin of the Chinese Ceramic Society，2018，37(8)：2 367-2 371.(in Chinese))
[23]	贾海梁，项伟，谭龙，等. 砂岩冻融损伤机制的理论分析和试验验证[J]. 岩石力学与工程学报，2016，35(5)：879-895.(JIA Hailiang，XIANG Wei，TAN Long，et al. Theoretical analysis and experimental verifications of frost damage mechanism of sandstone[J]. Chinese Journal of Rock Mechanics and Engineering，2016，35(5)：879-895.(in Chinese))
[24]	中华人民共和国行业标准编写组. DB11/T 1972—2022城市轨道交通工程冻结法施工技术规范[S]. 北京：中国标准出版社， 2022.(The Professional Standards Compilation Group of People?s Republic of China. DB11/T 1972—2022 Code for freezing method construction in urban rail transit projects[S]. Beijing：Standards Press of China，2022.(in Chinese))
[25]	中华人民共和国行业标准编写组. NB/T 10222—2019隧道联络通道冻结法施工及验收规范[S]. 北京：应急管理出版社，2019.(The Professional Standards Compilation Group of People?s Republic of China. NB/T 10222—2019 Code for freezing method construction and acceptance of tunnel connecting passage[S]. Beijing：China Emergency Management Press，2019.(in Chinese))
[26]	中华人民共和国行业标准编写组. MT/T 1124—2011 煤矿冻结法开凿立井工程技术规范[S]. 北京：煤炭工业出版社，2011.(The Professional Standards Compilation Group of People?s Republic of China. MT/T 1124—2011 Technical code for shaft construction using freezing method in coal mines[S]. Beijing：China Coal Industry Publishing House，2011.(in Chinese))
[27]	中华人民共和国行业标准编写组. JTG 3431—2024公路工程岩石试验规程[S]. 北京：人民交通出版社，2024.(The Professional Standards Compilation Group of People?s Republic of China. JTG 3431—2024 Specifications for rock testing in highway engineering[S]. Beijing：China Communications Press，2024.(in Chinese))
[28]	中华人民共和国行业标准编写组. TB 10115—2023铁路工程岩石试验规程[S]. 北京：中国铁道出版社，2023.(The Professional Standards Compilation Group of People?s Republic of China. TB 10115—2023 Specifications for rock testing in railway engineering[S]. Beijing：China Railway Publishing House，2023.(in Chinese))
[29]	中华人民共和国国家标准编写组. GB/T 51257—2017液化天然气低温管道设计规范[S]. 北京：中国计划出版社，2017.(The National Standards Compilation Group of People?s Republic of China. GB/T 51257—2017 Code for design of low-temperature pipelines for liquefied natural gas[S]. Beijing：China Planning Publishing House，2017.(in Chinese))
[30]	中华人民共和国国家标准编写组. GB/T 16163—2012 瓶装气体分类[S]. 北京：中国标准出版社，2012.(The National Standards Compilation Group of People?s Republic of China. GB/T 16163—2012 Classification of bottled gases[S]. Beijing：Standards Press of China，2012.(in Chinese))
[31]	中华人民共和国国家标准编写组. GB/T 28577—2021冷链物流分类与基本要求[S]. 北京：中国标准出版社，2021.(The National Standards Compilation Group of People?s Republic of China. GB/T 28577—2021 Classification and basic requirements of cold chain logistics[S]. Beijing：Standards Press of China，2021.(in Chinese))
[32]	申艳军，杨更社，荣腾龙，等. 岩石冻融循环试验建议性方案探讨[J]. 岩土工程学报，2016，38(10)：1 775-1 782.(SHEN Yanjun，YANG Gengshe，RONG Tenglong，et al. Proposed scheme for freeze-thaw cycle tests on rock[J]. Chinese Journal of Geotechnical Engineering，2016，38(10)：1 775-1 782.(in Chinese))
[33]	张安阔，修吉军，吴一骁，等. 生物样品低温存储制冷技术研究进展[J]. 上海海洋大学学报，2023，32(6)：1 109-1 122.(ZHANG Ankuo，XIU Jijun，WU Yixiao，et al. Research progress in refrigeration technology for cryogenic storage of biological samples[J]. Journal of Shanghai Ocean University，2023，32(6)：1 109-1 122.(in Chinese))
[34]	古乐，王黎钦，李秀娟，等. 超低温环境固体润滑研究的发展现状[J]. 摩擦学学报，2002，22(4)：314-320.(GU Le，WANG Liqin，LI Xiujuan，et al. Research status of cryogenic solid lubrication[J]. Tribology，2002，22(4)：314-320.(in Chinese))
[35]	SHANG Y H，NIU F J，YUAN K，et al. Thermal and mechanical characteristics of a thermal pile in permafrost regions[J]. Advances in Climate Change Research，2023，14(2)：255-266.
[36]	THORBERGSEN E. Back analysis of heat loads on selected thermal storages[C]// Storage of Gases in Rock Caverns：Proceedings of the International Conference on Storage of Gases in Rock Caverns/ Trondheim/26-28 June 1989. Routledge：[s. n.]，2022：229.
[37]	GOODALL D C，UTHEIM T，THORBERGSEN E. Back analysis of heat loads on selected thermal storages[M]. London： Routledge，2022：229-236.
[38]	江杰，邱居涛，陈先枝，等. 人工冻结法在圆砾地层地铁联络通道施工中的应用[J]. 现代隧道技术，2020，57(2)：192-197.(JIANG Jie，QIU Jutao，CHEN Xianzhi，et al. Application of artificial freezing method in construction of metro cross passage in gravel stratum[J]. Modern Tunnel Technology，2020，57(2)：192-197.(in Chinese))
[39]	杨更社，魏尧，申艳军，等. 冻结饱和砂岩三轴压缩力学特性及强度预测模型研究[J]. 岩石力学与工程学报，2019，38(4)：683-694.(YANG Gengshe，WEI Yao，SHEN Yanjun，et al. Mechanical behavior and strength forecast model of frozen saturated sandstoneunder triaxial compression[J]. Chinese Journal of Rock Mechanics and Engineering，2019，38(4)：683-694.(in Chinese))
[40]	BLINDHEIM O T，BROCH E，GRØV E. Gas storage in unlined caverns-Norwegian experience over 25 years[J]. Tunnelling and Underground Space Technology，2004，19(4/5)：367.
[41]	孙余好，吴亚华，邢鹏飞，等. 软弱富水地层干冰冻结隧道钻爆开挖施工方法[P]. 中国：CN202210492995.2，2024-11-26.(SUN Yuhao，WU Yahua，XING Pengfei，et al. Construction method of drilling and blasting excavation of dry ice frozen tunnel in weak water-rich stratum[P]. China：CN202210492995.2，2024-11-26.(in Chinese))
[42]	秦伟，秦松，高杰，等. 基于冻结法施工的矿井井筒温度-位移场耦合物理模拟实验装置及方法[P]. 中国：CN202110031185.2，2022-03-25.(QIN Wei，QIN Song，GAO Jie，et al. Physical simulation experiment device and method of mine shaft temperature-displacement field coupling based on freezing method construction [P]. China：CN202110031185.2，2022-03-25.(in Chinese))
[43]	PIROUZFAR V，SU C H. Developed liquified ethane production，storage and transportation using optimized liquefaction process：Design，energy optimization，and techno-economic feasibility[J]. Environmental Progress and Sustainable Energy，2025，44(2)：e14552.
[44]	TAN H，SUN N，ZHAO Q，et al. An ejector-enhanced re-liquefaction process(EERP) for liquid ethylene vessels[J]. International Journal of Energy Research，2017，41(5)：658-672.
[45]	DELAGE P，KARAKOSTAS F，DHEMAIED A，et al. An investigation of the mechanical properties of some Martian regolith simulants with respect to the surface properties at the InSight mission landing site[J]. Space Science Reviews，2017，211(1/4)：215.
[46]	杨平，毛一祥，姚梦威. 盾尾刷更换时液氮冻结温度场及冻结参数影响的数值模拟分析[J]. 隧道建设(中英文)，2024，44(1)：69-77.(YANG Ping，MAO Yixiang，YAO Mengwei. Numerical simulation analysis of the influence of liquid nitrogen freezing temperature field and freezing parameters on shield tail brush replacement[J]. Tunnel Construction，2024，44(1)：69-77.(in Chinese))
[47]	LEE D H，LEE H S，KIM H Y，et al. Measurements and analysis of rock mass responses around a pilot lined rock cavern for LNG underground storage[C]// Eurock 2005：Impact of Human Activity on the Geological Environment. Brno：International Symposium of the International-Society-for-Rock-Mechanics，2005：287-292.
[48]	YANG R，HONG C，HUANG Z，et al. Coal breakage using abrasive liquid nitrogen jet and its implications for coalbed methane recovery[J]. Applied Energy，2019，253：113485.
[49]	RABI A M，RADULOVIC J，BUICK J M. Comprehensive review of liquid air energy storage(LAES) technologies[J]. Energies，2023，16(17)：6 216.
[50]	孙泽洲，张有为，陈向东，等. 基于嫦娥四号任务的月球背面浅层月壤温度原位测量[J]. 中国科学：技术科学，2022，52(9)：1 447-1 455.(SUN Zezhou，ZHANG Youwei，CHEN Xiangdong，et al. In-situ measurement of shallow lunar regolith temperature on the back of the moon based on the Chang?e-4 mission[J]. China Science：Technical Science，2022，52(9)：1 447-1 455.(in Chinese))
[51]	ONI B A，BADE S O，SANNI S E，et al. Underground hydrogen storage in salt caverns：recent advances，modeling approaches，barriers，and future outlook[J]. Journal of Energy Storage，2025，107：114951.
[52]	SIVTSEV A I，ALEKSANDROV A R，PETROV D M. Means to solve the problems of the development of helium resources in eastern siberia[C]// IOP Conference Series：Earth and Environmental Science. [S. l.]：IOP Publishing，2020：042097.
[53]	GUAN M，WANG X，ZHOU Y. Cryogenic temperature dependence of tensile response of NbTi/Cu superconducting composite wires[J]. IEEE Transactions on Applied Superconductivity，2012，22(6)：8401106-8401106.
[54]	INADA Y，YOKOTA K. Some studies of low temperature rock strength[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1984，21(3)：145-153.
[55]	PARK C，SYNN J H，SHIN H S，et al. Experimental study on the thermal characteristics of rock at low temperatures[J]. International Journal of Rock Mechanics and Mining Sciences，2004，41(3)：367-386.
[56]	MELLOR M. Phase composition of pore water in cold rocks[M]. [S. l.]：Corps of Engineers，US Army，Cold Regions Research and Engineering Laboratory，1970：39-40
[57]	KURIYAGAWA M，MATSUNAGA I，KINOSHITA N，et al. Rock behavior of underground cavern with the storage of cryogenic liquified gas[C]// ISRM International Symposium-Rockstore. Stockholm：Elsevier，1981：665-671.
[58]	LINDBLOM U E. A conceptual design for compressed hydrogen storage in mined caverns[J]. International Journal of Hydrogen Energy，1985，10(10)：667-675.
[59]	JACOBSSON U. Storage for liquified gases in unlined，refrigerated rock caverns[C]//Storage in Excavated Rock Caverns：Rockstore 77. Stockholm：Elsevier，1978：449-458.
[60]	INADA Y，YOKOTA K. Some studies of low temperature rock strength[J] International Journal of Rock Mechanics and Mining Sciences，1984，21(3)：145-153.
[61]	REN Z，WANG E，LIU J，et al. Characterization and prediction of compressive strength in ultralow-temperature frozen soil using nuclear magnetic resonance and WOA-ENN model[J]. Transportation Geotechnics，2023，43：101143.
[62]	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.
[63]	崔江磊. 低温月壤水冰模拟样本静力学特性研究[硕士学位论文][D]. 哈尔滨：哈尔滨工业大学，2022.(CUI Jianglei. Study on static characteristics of low temperature simulation sample of icy lunar regolith[M. S. Thesis][D]. Harbin：Harbin Institute of Technology，2022.(in Chinese))
[64]	DWIVEDI R D，SONI A K，GOEL R K，et al. Fracture toughness of rocks under sub-zero temperature conditions[J]. International Journal of Rock Mechanics and Mining Sciences，2000，37(8)：1 267-1 275.
[65]	唐明明，王芝银，孙毅力，等. 低温条件下花岗岩力学特性试验研究[J]. 岩石力学与工程学报，2010，29(4)：787-794.(TANG Mingming，WANG Zhiyin，SUN Yili，et al. Experimental study of mechanical properties of granite under low temperature[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(4)：787-794.(in Chinese))
[66]	CAI C Z，LI G S，HUANG Z W，et al. Experimental study of the effect of liquid nitrogen cooling on rock pore structure[J]. Journal of Natural Gas Science and Engineering，2014，21：507-517.
[67]	QIN L，ZHAI C，LIU S，et al. Failure mechanism of coal after cryogenic freezing with cyclic liquid nitrogen and its influences on coalbed methane exploitation[J]. Energy and Fuels，2016，30(10)：8 567-8 578.
[68]	蔡承政，李根生，黄中伟，等. 液氮冻结条件下岩石孔隙结构损伤试验研究[J]. 岩土力学，2014，35(4)：965-971.(CAI Chengzheng，LI Gensheng，HUANG Zhongwei，et al. Experiment study of rock porous structure damage under cryogenic nitrogen freezing[J]. Rock and Soil Mechanics，2014，35(4)：965-971.(in Chinese))
[69]	CNUDDE V，BOONE M N. High-resolution X-ray computed tomography in geosciences：A review of the current technology and applications[J]. Earth-Science Reviews，2013，123：1-17.
[70]	任韶然，范志坤，张亮，等. 液氮对煤岩的冷冲击作用机制及试验研究[J]. 岩石力学与工程学报，2013，32(增2)：3 790-3 794. (REN Shaoran，FAN Zhikun，ZHANG Liang，et al. Mechanisms and experimental study of thermal-shock effect on coal-rock using liquid nitrogen[J]. Chinese Journal of Rock Mechanics and Engineering，2013，32(Supp.2)：3 790-3 794.(in Chinese))
[71]	WANG H，PAN J，WANG S，et al. Relationship between macro-fracture density，P-wave velocity，and permeability of coal[J]. Journal of Applied Geophysics，2015，117：111-117.
[72]	郑学林. 页岩超低温诱导裂缝机制研究[博士学位论文][D]. 北京：中国石油大学(北京)，2023.(ZHENG Xuelin. Formation mechanism investigation on cryogenic-induced fractures in shale[Ph. D. Thesis][D]. Beijing：China University of Petroleum(Beijing)，2023.(in Chinese))
[73]	于恩毅，金爱兵，孙浩，等. 超低温冻融循环下灰岩抗压强度与孔隙率的演化特征及衰减模型[J]. 矿业研究与开发，2021，41(10)：55-60.(YU Enyi，JIN Aibing，SUN Hao，et al. Evolution characteristics and attenuation model of compressive strength and porosity of limestone under ultra-low temperature freeze-thaw cycles[J]. Mining Research and Development，2021，41(10)：55-60.(in Chinese))
[74]	张牡丹，王苏然，曾健霜，等. 花岗岩超低温冻融循环后力学特性研究[J]. 上海理工大学学报，2017，39(5)：484-489.(ZHANG Mudan，WANG Suran，ZENG Jianshuang，et al. Study on mechanical properties of granite after ultra-low temperature freeze-thaw cycles[J]. Journal of Shanghai University of Science and Technology，2017，39(5)：484-489.(in Chinese))
[75]	吕敦波，张帆，张益峰，等. －160 ℃超低温冻融循环后花岗岩三点弯曲试验研究[J]. 冰川冻土，2022，44(6)：1 796-1 806.(LV Dunbo，ZHANG Fan，ZHANG Yifeng，et al. Experimental study on three-point bending of granite after cryogenic freeze-thaw cycles at －160 ℃[J]. Journal of Glaciology and Geocryology，2022，44(6)：1 796-1 806.(in Chinese))
[76]	HOU P，SU S，GAO F，et al. Influence of liquid nitrogen freeze-thaw cycles on mechanical behaviors and permeability properties of coal under different confining pressures[J]. Rock Mechanics and Rock Engineering，2024，57(4)：2 625-2 644.
[77]	WANNE T，YOUNG R. Bonded-particle modeling of thermally fractured granite[J]. International Journal of Rock mechanics and mining Sciences，2008，45(5)：789-799.
[78]	曹钰，郤保平，赵璐敏，等. 液氮深冷冲击作用下岩石传热规律试验研究[J]. 太原理工大学学报，2022，53(6)：1 014-1 023.(CAO Yu，XI Baoping，ZHAO Lumin，et al. Experimental study on rock heat transfer under cryogenic impact of liquid nitrogen[J]. Journal of Taiyuan University of Technology，2022，53(6)：1 014-1 023.(in Chinese))
[79]	SUNDBERG J，BACK P，CHRISTIANSSON R，et al. Modelling of thermal rock mass properties at the potential sites of a Swedish nuclear waste repository[J]. International Journal of Rock Mechanics and Mining Sciences，2009，46(6)：1 042-1 054.
[80]	赵波. 超低温环境下致密岩石孔隙力学特性研究及应用[博士学位论文] [D]. 北京：中国石油大学(北京)，2019.(ZHAO Bo. Research and application of pore-related mechanical propertiesof tight rocks at ultra-low temperature[Ph. D. Thesis][D]. Beijing：China University of Petroleum(Beijing)，2019.(in Chinese))
[81]	NESPOLI M，YU H，RINALDI A P，et al. Applications and future developments of the(thermo-) poro-elastic theory in geophysics[J]. Earth-Science Reviews，2024，260：104996.
[82]	唐世斌，罗江，唐春安. 低温诱发岩石破裂的理论与数值模拟研究[J]. 岩石力学与工程学报，2018，37(7)：1 596-1 607.(TANG Shibin，LUO Jiang，TANG Chun?an. Theoretical and numerical study on the cryogenic fracturing in rock[J]. Chinese Journal of Rock Mechanics and Engineering，2018，37(7)：1 596-1 607.(in Chinese))
[83]	左建平，满轲，曹浩，等. 热力耦合作用下岩石流变模型的本构研究[J]. 岩石力学与工程学报，2008，27(增1)：2 610-2 616. (ZUO Jianping，MAN Ke，CAO Hao，et al. Study on constitutive equation of rock rheological model with thermo-mechanical coupling effects[J]. Chinese Journal of Rock Mechanics and Engineering，2008，27(Supp.1)：2 610-2 616.(in Chinese))
[84]	郤保平，赵阳升，万志军，等. 热力耦合作用下花岗岩流变模型的本构关系研究[J]. 岩石力学与工程学报，2009，28(5)：956-967.(XI Baoping，ZHAO Yangsheng，WAN Zhijun，et al. Study of constitutive equation of granite rheological model with thermo-mechanical coupling effects[J]. Chinese Journal of Rock Mechanics and Engineering，2009，28(5)：956-967.(in Chinese))
[85]	武晋文，赵阳升，万志军，等. 热力耦合作用鲁灰花岗岩蠕变声发射规律[J]. 岩石力学与工程学报，2012，31(增1)：3 061-3 067.(WU Jinwen，ZHAO Yangsheng，WAN Zhijun，et al. Creep acoustic emission rule of gray granite from shandong province with thermo-mechanical coupling effects[J]. Chinese Journal of Rock Mechanics and Engineering，2012，31(Supp.1)：3 061-3 067.(in Chinese))
[86]	徐彬. 大型低温液化天然气(LNG)地下储气库裂隙围岩的热力耦合断裂损伤分析研究[博士学位论文][D]. 西安：西安理工大学，2008.(XU Bin. Research on thermo-mechanical coupling damage behavior in jointed rock surrounding large-scale rock cavern for refrigerated LNG(liquided natural gas) storage[Ph. D. Thesis][D]. Xi?an：Xi?an University of Technology，2008.(in Chinese))
[87]	谭贤君. 高海拔寒区隧道冻胀机制及其保温技术研究[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 mechanism 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))
[88]	SUN L，TANG X，ABOAYANAH K R，et al. A coupled cryogenic thermo-hydro-mechanical model for frozen medium：Theory and implementation in FDEM[J]. Journal of Rock Mechanics and Geotechnical Engineering，2024，16(11)：4 335-4 353.
[89]	HUANG S，LIU Q，CHENG A，et al. A fully coupled thermo-hydro-mechanical model including the determination of coupling parameters for freezing rock[J]. International Journal of Rock Mechanics and Mining Sciences，2018，103：205-214.
[90]	JIAO K，HAN D，WANG D，et al. Investigation of thermal-hydro-mechanical coupled fracture propagation considering rock damage[J]. Computational Geosciences，2022，26(5)：1 167-1 187.
[91]	LIU N，LI N，WANG S，et al. A fully coupled thermo-hydro-mechanical model for fractured rock masses in cold regions[J]. Cold Regions Science and Technology，2023，205：103707.
[92]	柳程希. 液氮作用下页岩冻融应力损伤分析[硕士学位论文][D]. 青岛：中国石油大学(华东)，2018.(LIU Chengxi. Damage analysis on freeze-thaw stress of shale underliquid nitrogen condition[M. S. Thesis][D]. Qingdao：China University of Petroleum(East China)，2018.(in Chinese))
[93]	林海飞，李博涛，李树刚，等. 液氮致裂层理煤体热-流-固-损伤耦合模型及数值模拟研究[J]. 岩石力学与工程学报，2024，43(5)：1 110-1 123.(LIN Haifei，LI Botao，LI Shugang，et al. Study on thermal-fluid-solid-damage coupling model and numerical simulation of liquid nitrogen fracturing bedding coal[J]. Chinese Journal of Rock Mechanics and Engineering，2024，43(5)：1 110-1 123.(in Chinese))
[94]	HAN S，CHENG Y，GAO Q，et al. A fully coupled thermo-hydro-mechanical model with ice-water phase change for liquid nitrogen injection simulation[J]. Journal of Petroleum Science and Engineering，2021，203：108676.
[95]	REN K，CAI C. Numerical investigation into the distributions of temperature and stress around wellbore during the injection of cryogenic liquid nitrogen into hot dry rock reservoir[J]. Mathematical Problems in Engineering，2021，2021(1)：9913321.
[96]	SHI Y，SONG X，SHEN Z，et al. Numerical investigation on heat extraction performance of a CO2 enhanced geothermal system with multilateral wells[J]. Energy，2018，163：38-51.
[97]	黄鑫，唐世斌，包春燕，等. 热应力与膨胀力耦合作用下岩石破裂机制的数值模拟研究[J]. 防灾减灾工程学报，2017，37(4)：611-620.(HUANG Xin，TANG Shibin，BAO Chunyan，et al. Numerical simulation of rock failure process under coupling effect of thermal stress and inner pressure[J]. Journal of Disaster Prevention and Mitigation Engineering，2017，37(4)：611-620.(in Chinese))
[98]	CAI C，HUANG Z，LI G，et al. Feasibility of reservoir fracturing stimulation with liquid nitrogen jet[J]. Journal of Petroleum Science and Engineering，2016，144：59-65.
[99]	LIN H，LI B，LI S，et al. Enhancing coalbed methane recovery using liquid nitrogen as a fracturing fluid：A coupled thermal-hydro-mechanical modeling and evaluation in water-bearing coal seam[J]. Energy，2024，291：130445.
[100]	LIU S，LI X，WANG D. Numerical simulation of the coal temperature field evolution under the liquid nitrogen cold soaking[J]. Arabian Journal of Geosciences，2020，13：1-10.
[101]	MONSEN K，BARTON N. A numerical study of cryogenic storage in underground excavations with emphasis on the rock joint response[J]. International Journal of Rock Mechanics and Mining Sciences，2001，38(7)：1 035-1 045.
[102]	KIM H，AMANTINI E，CHANFREAU E. Pilot project：lined cavern LNG storage[J]. The Korean Society for Geosystem Enginering，2003，40(2)：140-145.
[103]	ZHOU C，GAO F，CAI C，et al. Mechanical properties and damage evolution of heated granite subjected to liquid nitrogen cooling[J]. Applied Sciences，2022，20(12)：10615.
[104]	SHAO Z，SUN L，ABOAYANAH K R，et al. Investigate the mode I fracture characteristics of granite after heating-LN2 cooling treatments[J]. Rock Mechanics and Rock Engineering，2022，55(7)：4 477-4 496.
[105]	ZHANG C，WANG L，DU J，et al. Numerical modelling rock deformation subject to nitrogen cooling to study permeability evolution[J]. International Journal of Coal Science and Technology，2015，2(4)：293-298.
[106]	YAN M，FAN Y，YUE M，et al. Heat-mass transfer coupling effects in water-ice phase transformation of water-bearing coal frozen with liquid nitrogen[J]. Applied Thermal Engineering，2022，215：118902.
[107]	NEAUPANE K M，YAMABE T. A fully coupled thermo-hydro-mechanical nonlinear model for a frozen medium[J]. Computers and Geotechnics，2001，28(8)：613-637.
[108]	李和万，刘戬，高熹才，等. 液氮冷加载对不同含水饱和度节理煤样损伤的影响[J]. 采矿与安全工程学报，2022，39(2)：413-420.(LI Hewan，LIU Jian，GAO Xicai，et al. Effect of liquid nitrogen cold loading on damage of jointed coal samples with different water saturation[J]. Journal of Mining and Safety Engineering，2022，39(2)：413-420.(in Chinese))
[109]	TAO J，WU Y，LI S，et al. Coupled simulations on fracture network evolution during nitrogen fracturing after liquid nitrogen pre-conditioning in shale[J]. Bulletin of Engineering Geology and the Environment，2023，82(12)：468.
[110]	WU Y，TAO J，WANG J，et al. Experimental investigation of shale breakdown pressure under liquid nitrogen pre-conditioning before nitrogen fracturing[J]. International Journal of Mining Science and Technology，2021，31(4)：611-620.
[111]	WASILEWSKI T G，BARCI?SKI T，MARCHEWKA M. Experimental investigations of thermal properties of icy lunar regolith and their influence on phase change interface movement[J]. Planetary and Space Science，2021，200：105197.
[112]	郑琼，江丽霞，徐玉杰，等. 碳达峰、碳中和背景下储能技术研究进展与发展建议[J]. 中国科学院院刊，2022，37(4)：529-540.(ZHENG Qiong，JIANG Lixia，XU Yujie，et al. Research progress and development suggestions of energy storage technology under background of carbon peak and carbon neutrality[J]. Bulletin of the Chinese Academy of Sciences，2022，37(4)：529-540.(in Chinese))
[113]	黄宽，张万益，王丰翔，等. 地下空间储能国内外发展现状及调查建议[J]. 中国地质，2024，51(1)：105-117.(HUANG Kuan，ZHANG Wanyi，WANG Fengxiang，et al. Development status of underground space energy storage at home and abroad and geological survey suggestions[J]. Geological Journal of China，2024，51(1)：105-117.(in Chinese))
[114]	PARK E S，JUNG Y B，SONG W K，et al. Pilot study on the underground lined rock cavern for LNG storage[J]. Engineering Geology，2010，116(1/2)：44-52.
[115]	Park E，Chung S，Lee H，et al. Design and operation of a pilot plant for underground LNG storage[C]//ARMA Canada-US Rock Mechanics Symposium. Alexandria：ARMA，2007：ARMA-07-150.
[116]	YI M J，KIM J H，PARK S G，et al. Investigation of ground condition changes due to cryogenic conditions in an underground LNG storage plant[J]. Exploration Geophysics，2005，36(1)：67-72.
[117]	CHA S S，LEE J Y，LEE D H，et al. Engineering characterization of hydraulic properties in a pilot rock cavern for underground LNG storage[J]. Engineering geology，2006，84(3/4)：229-243.
[118]	徐彬，李宁，李仲奎，等. 低温液化石油气和液化天然气储库及相关岩石力学研究进展[J]. 岩石力学与工程学报，2013，32(增2)：2 977-2 993.(XU Bin，LI Ning，LI Zhongkui，et al. Low-temperature lpg and lng storage caverns and related research review of rock mechanics[J]. Chinese Journal of Rock Mechanics and Engineering，2013，32(Supp.2)：2 977-2 993.(in Chinese))
[119]	MIK A. Vest process propane cavern project，Norway[EB/OL]. http：// www.mika.no/upload/referanselister/westprosesspropanecavern，2002-07-01.
[120]	GLAMHEDEN R，LINDBLOM U. Thermal and mechanical behaviour of refrigerated caverns in hard rock[J]. Tunnelling and Underground Space Technology，2002，17(4)：341-353.
[121]	PB-KBB INC. Advanced underground gas storage concepts：refrigerated- mined cavern storage[R]. Houston：PB-KBB Inc.，1998.
[122]	丁国生，丁一宸，李洋，等. 碳中和行动下的中国地下储气库发展前景[J]. 油气储运，2022，41(1)：1-9.(DING Guosheng，DING Yichen，LI Yang，et al. Prospects of underground gas storage in China under the strategy of carbon neutrality[J]. Oil and Gas Storage and Transportation，2022，41(1)：1-9.(in Chinese))
[123]	CROTOGINO F，DONADEI S，BÜNGER U，et al. Large-scale hydrogen underground storage for securing future energy supplies[C]// The 18th World Hydrogen Energy Conference. Forschungszentrum：Zentralbibliothek，2010：37-45.
[124]	FORSBERG C W. Future hydrogen markets for large-scale hydrogen production systems[J]. International Journal of Hydrogen Energy，2007，32(4)：431-439.
[125]	LI Z，XU H，ZHANG C. Liquid nitrogen gasification fracturing technology for shale gas development[J]. Journal of Petroleum Science and Engineering，2016，138：253-256.
[126]	ALLEN J C，BAUER C L. Method of increasing the permeability ofa subterranean hydrocarbon bearing formation[P]. America：US3638727 A，1968-09-27.
[127]	FINNIE I，COOPER G A，BERLIE J. Fracture propagation in rock by transient cooling[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1979，16(1)：11-21.
[128]	MCDANIEL B W，GRUNDMANN S R，KENDRICK W D，et al. Field applications of cryogenic nitrogen as a hydraulic fracturing fluid[C]// SPE Annual Technical Conference and Exhibition?. Richardson：SPE，1997：SPE-38623-MS.
[129]	GRUNDMANN S R，RODVELT G D，DIALS G A，et al. Cryogenic nitrogen as a hydraulic fracturing fluid in the devonian shale[C]// SPE Eastern Regional Meeting. Richardson：SPE，1998：SPE-51067-MS.
[130]	CHA M，ALQAHTANI N B，YIN X，et al. Laboratory system for studying cryogenic thermal rock fracturing for well stimulation[J]. Journal of Petroleum Science and Engineering，2017，156：780-789.
[131]	ALQATAHNI N B，CHA M，YAO B，et al. Experimental investigation of cryogenic fracturing of rock specimens under true triaxial confining stresses[C]// SPE Europec featured at EAGE Conference and Exhibition?. Richardson：SPE，2016：SPE-180071-MS.
[132]	YANG R，HUANG Z，SHI Y，et al. Laboratory investigation on cryogenic fracturing of hot dry rock under triaxial-confining stresses[J]. Geothermics，2019，79：46-60.
[133]	HUANG P，HUANG Z，YANG Z，et al. An innovative experimental equipment for liquid nitrogen fracturing[J]. Review of Scientific Instruments，2019，90(3)：036104.
[134]	ZHANG S，HUANG Z，LI G，et al. Numerical analysis of transient conjugate heat transfer and thermal stress distribution in geothermal drilling with high-pressure liquid nitrogen jet[J]. Applied Thermal Engineering，2018，129：1 348-1 357.
[135]	WEN H，YANG R，HUANG Z，et al. Numerical simulation of proppant transport in liquid nitrogen fracturing[J]. Journal of Natural Gas Science and Engineering，2020，84：103657.
[136]	李子丰. 液化氮气在油气层内气化压裂方法[P]. 中国：CN201110361327.8，2024-06-10.(LI Zifeng. Nitrogen liquefaction gas fracturing method in oil and gas reservoirs[P]. China：CN201110361327.8，2024-06-10.(in Chinese))
[137]	李波，王泽祺，张路路，等. 可增压液氮与氮气耦合致裂增透装置及增透实验方法[P]. 中国：CN201910849842.7，2023-06-23.(LI Bo，WANG Zeqi，ZHANG Lulu，et al. Pressurized liquid nitrogen and nitrogen coupling fracturing antireflection device and antireflection experimental method[P]. China：CN201910849842.7，2023-06-23.(in Chinese))
[138]	BIRD K J，CHARPENTIER R R，GAUTIER D L，et al. Circum-Arctic resource appraisal：Estimates of undiscovered oil and gas north of the Arctic Circle[R]. Virginia：US Geological Survey，2008.
[139]	孙迪，张厚和，郝婧，等. 北极地区油气资源分布特征与开发利用分析[J]. 极地研究，2024，36(2)：286-303.(SUN Di，ZHANG Houhe，HAO Jing，et al. Analysis of distribution and exploitation of oil and gas resources in the Arctic region[J]. Polar Research，2024，36(2)：286-303.(in Chinese))
[140]	DEPARTMENT OF ENERGY. US Department of energy announces establishment of office of Arctic energy[EB/OL]. https：//www.energy. gov/articles/us-department-energy-announces-establishment-office-arctic- energy，2020-09-17.
[141]	П Л А Н. Развития инфраструктуры cеверного морского пути на период до 2035года[EB/OL]. https：//seanews. ru/wp-content/uploads/ 2019/12/plan-smp.pdf，2019-12-31.
[142]	杨成. 极地冰岩夹层钻进碎岩机制分析及试验研究[博士学位论文][D]. 长春：吉林大学，2016.(YANG Cheng. Theoretical and experimental study on fragmentation mechanism during polar debris-rich ice drilling[Ph. D.Thesis][D]. Changchun：Jilin University，2016.(in Chinese))
[143]	谢剑，刘洋，严加宝，等. 极地低温环境下混凝土断裂性能试验研究[J]. 建筑结构学报，2021，42(增1)：341-350.(XIE Jian，LIU Yang，YAN Jiabao，et al. Experimental study on fracture properties of concrete in polar low temperature environment[J]. Journal of Building Structures，2021，42(Supp.1)：341-350.(in Chinese))
[144]	LORIA A F R，FRIGO B，CHIAIA B. A non-linear constitutive model for describing the mechanical behaviour of frozen ground and permafrost[J]. Cold regions Science and Technology，2017，133：63-69.
[145]	LI H，DANG X，ZHU K，et al. Review and outlook on arctic offshore facilities and technologies[C]// OTC Arctic Technology Conference 2015. Houston：Offshore Technology Conferenc，2015：777-800.
[146]	FELDMAN W C，MAURICE S，BINDER A B，et al. Fluxes of fast and epithermal neutrons from Lunar Prospector：Evidence for water ice at the lunar poles[J]. Science，1998，281：1 496-1 500.
[147]	SPUDIS P D，BUSSEY D B J，BALOGA S M，et al. Evidence for water ice on the Moon：Results for anomalous polar craters from the LRO Mini‐RF imaging radar[J]. Journal of Geophysical Research：Planets，2013，118(10)：2 016-2 029.
[148]	SELVANS M M，PLAUT J J，AHARONSON O，et al. Internal structure of Planum Boreum，from Mars advanced radar for subsurface and ionospheric sounding data[J]. Journal of Geophysical Research：Planets，2010，115(E9)：E09003.
[149]	NASA. Artemis accords[EB/OLl. https：//www.nasa.govartemis-accords/，2020-10-13.
[150]	ZHANG T，WANG B，WEI H，et al. Review on planetary regolith-sampling technology[J]. Progress in Aerospace Sciences，2021，127：100760.
[151]	VILES H，MESSENZEHL K，MAYAUD J，et al. Stress histories control rock-breakdown trajectories in arid environments[J]. Geology，2018，46(5)：419-422.
[152]	VILES H，EHLMANN B，WILSON C F，et al. Simulating weathering of basalt on Mars and Earth by thermal cycling[J]. Geophysical Research Letters，2010，37(18)：L18201
[153]	DELBO M，LIBOUREL G，WILKERSON J，et al. Thermal fatigue as the origin of regolith on small asteroids[J]. Nature，2014，508：233-236.
[154]	XIAO S，CHENG X，HOU M，et al. Analysis of experimental results on the bearing capacity of sand in low-gravity conditions[J]. Microgravity Science and Technology，2022，34(2)：16.
[155]	薛龙，姚猛，李立犇，等. 基于触月压痕的表层月壤力学状态试验分析[J]. 吉林大学学报：工学版，2022，52(3)：497-503.(XUE Long，YAO Meng，LI Liben，et al. Experimental analysis of mechanical properties of surface lunar soil based on lunar indentation[J]. Journal of Jilin University：Engineering and Technology，2022，52(3)：497-503.(in Chinese))
[156]	王康，姚猛，李立犇，等. 基于月面表取采样触月压痕的月壤力学状态分析[J]. 吉林大学学报：工学版，2021，51(3)：1 146-1 152. (WANG Kang，YAO Meng，LI Liben，et al. Mechanical performance identification for lunar soil in lunar surface sampling[J]. Journal of Jilin University：Engineering and Technology，2021，51(3)：1 146-1 152. (in Chinese))
[157]	ATKINSON J，PRASAD M，ABBUD-MADRID A，et al. Penetration and relaxation behavior of JSC-1A lunar regolith simulant under cryogenic conditions[J]. Icarus，2020，346：113812.
[158]	丁烈云，周诚，高玉月，等. 地外建造研究进展与科学技术挑战[J]. 土木工程学报，2024，57(6)：26-42.(DING Lieyun，ZHOU Cheng，GAO Yuyue，et al. Research progress and scientific and technological challenges in extraterrestrial construction[J]. Journal of Civil Engineering，2024，57(6)：26-42.(in Chinese))
[159]	HAN W，DING L，CAI L，et al. Sintering of HUST-1lunar regolith simulant[J]. Construction and Building Materials，2022，324：126655.
[160]	WANG R，QIAO G，SONG G. Additive manufacturing by laser powder bed fusion and thermal post-treatment of the lunar-regolith-based glass-ceramics for in-situ resource utilization[J]. Construction and Building Materials，2023，392：132051.