(1. State Key Laboratory for Geomechanics and Deep Underground Engineering,China University of Mining and Technology,Xuzhou,Jiangsu 221116,China;2. School of Mechanics and Civil Engineering,China University of Mining and Technology,Xuzhou,Jiangsu 221116,China;3. School of Qilu Transportation,Shandong University,Jinan,Shandong 250002,China)
Abstract:The analysis of uplift failure mechanism for underground lined rock caverns is of significant importance for improving the storage capacity and safety of hydrogen. In this paper,the functions of the uplift failure lines in layered rock formations and the expressions of critical uplift pressure( ) are derived based on the Hoek-Brown strength criterion and the upper bound method of limit analysis. Subsequently,the analytical solutions are compared with numerical simulations. On this basis,the influence laws of shape and layout parameters of the caverns on the and uplift failure lines are investigated. The results show that the error range of between the theoretical and numerical solutions are within the range of 1.57%–2.20%,and the ranges of uplift failure are essentially the same. is directly proportional to the additional loads and cavern spacing,while inversely proportional to the cavern radius. Besides, exhibits the highest sensitivity to the additional loads,followed by the cavern radius,while the lowest sensitivity to the cavern spacing. The horizontal distances between the uplift failure lines at the layered interface are directly proportional to the thickness of the rock layers. Similarly,the gaps between the horizontal uplift failure ranges at the surface are also directly proportional to the thickness of the rock layers. In the selection of the storage sites of lined rock cavers,the cohesion and internal friction of soil can be considered as the safety reserve. Additionally,the influence of the cavern radius on and the capacity for hydrogen storage should also be comprehensively considered. Furthermore,sites with geological tectonic defects should be avoided based on the range of uplift failure lines. The research results hold significant guidance for the selection of hydrogen energy storage sites and the design of cavern shapes in layered rock formations within lined rock caverns.
[1] 杨春和,王同涛. 深地储能研究进展[J]. 岩石力学与工程学报,2022,41(9):1 729–1 759.(YANG Chunhe,WANG Tongtao. Advance in deep underground energy storage[J]. Chinese Journal of Rock Mechanics and Engineering,2022,41(9):1 729–1 759.(in Chinese))
[2] 康红普,谢和平,任世华,等. 全球产业链与能源供应链重构背景下我国煤炭行业发展策略研究[J]. 中国工程科学,2022,24(6):26–37.(KANG Hongpu,XIE Heping,REN Shihua,et al. Development strategy of China?s coal industry under the reconstruction of global industrial chain and energy supply chain[J]. Chinese Engineering Science,2022,24(6):26–37.(in Chinese))
[3] 邹才能,陈艳鹏,熊 波,等. 碳中和目标下中国新能源使命[J]. 中国科学院院刊,2023,38(1):48–58.(ZOU Caineng,CHEN Yanpeng,XIONG Bo,et al. Mission of new energy under carbon neutrality goal in China[J]. Bulletin of Chinese Academy of Sciences,2023,38(1):48–58.(in Chinese))
[4] SAMBO C,DUDUN A,SAMUEL S A,et al. A review on worldwide underground hydrogen storage operating and potential fields[J]. International Journal of Hydrogen Energy,2022,47(54):22 840– 22 880.
[5] THIYAGARAJAN S R,EMADI H,HUSSAIN A,et al. A comprehensive review of the mechanisms and efficiency of underground hydrogen storage[J]. Journal of Energy Storage,2022,51:104490.
[6] ZIVAR D,KUMAR S,FOROOZESH J. Underground hydrogen storage:A comprehensive review[J]. International Journal of Hydrogen Energy,2021,46(45):23 436–23 462.
[7] OKOROAFOR E R,SALTZER S D,KOVSCEK A R. Toward underground hydrogen storage in porous media:Reservoir engineering insights[J]. International Journal of Hydrogen Energy,2022,47(79):33 781–33 802.
[8] 柏明星,宋考平,徐宝成,等. 氢气地下存储的可行性,局限性及发展前景[J]. 地质论评,2014,60(4):748–754.(BAI Mingxing,SONG Kaoping,XU Baocheng,et al. Feasibility and limitations and development prospects of underground hydrogen storage[J]. Geological Review,2014,60(4):748–754.(in Chinese))
[9] NIELAND J D. Salt cavern thermodynamics-comparison between hydrogen[C]// Natural Gas and Air Storage. Austin,Texas:SMRI Fall Meeting,2008:215–234.
[10] DAMASCENO D R,SPROSS J,JOHANSSON F. Rock mass response for lined rock caverns subjected to high internal gas pressure[J]. Journal of Rock Mechanics and Geotechnical Engineering,2023,15(1):119–129.
[11] HILLERBORG A,MODÉER M,PETERSSON P E. Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements[J]. Cement and Concrete Research,1976,6(6):773–781.
[12] KOVÁRI K. Basic consideration on storage of compressed natural gas in rock chambers[J]. Rock Mechanics and Rock Engineering,1993,26(1):1–27.
[13] DOLBOW J,MOËS N,BELYTSCHKO T. Discontinuous enrichment in finite elements with a partition of unity method[J]. Finite Elements in Analysis and Design,2000,36(3/4):235–260.
[14] LITTLEJOHN G S,BRUCE D A. Rock anchors-state of the art. Part 1:design[J]. Ground Engineering,1975,8(3):25–32.
[15] GHALY A,HANNA A. Ultimate pullout resistance of single vertical anchors[J]. Canadian Geotechnical Journal,1994,31(5):661–672.
[16] KIM H M,PARK D,RYU D W,et al. Parametric sensitivity analysis of ground uplift above pressurized underground rock caverns[J]. Engineering Geology,2012,135:60–65.
[17] TUNSAKUL J,JONGPRADIST P,KIM H M,et al. Evaluation of rock fracture patterns based on the element-free Galerkin method for stability assessment of a highly pressurized gas storage cavern[J]. Acta Geotechnica,2018,13:817–832.
[18] TUNSAKUL J,JONGPRADIST P,KONGKITKUL W,et al. Investigation of failure behavior of continuous rock mass around cavern under high internal pressure[J]. Tunnelling and Underground Space Technology,2013,34:110–123.
[19] 刘 健,宋 娟,张强勇,等. 盐岩地下储气库群间距数值计算分析[J]. 岩石力学与工程学报,2011,30(增2):3 413–3 420.(LIU Jian,SONG Juan,ZHANG Qiangyong,et al. Numerical calculation and analysis of distance among salt rock underground gas storage caverns[J]. Chinese Journal of Rock Mechanics and Engineering,2011,30(Supp.2):3 413–3 420.(in Chinese))
[20] 闫 超,王红雨. 含挖填界面边坡三维稳定性上限分析[J]. 岩土工程学报,2024,46(1):174–181.(YAN Chao,WANG Hongyu. Three-dimensional stability of the slope with cut-fill interface based onupper-bound limit analysis[J]. Chinese Journal of Geotechnical Engineering,2024,46(1):174–181.(in Chinese))
[21] FRALDI M,GUARRACINO F. Limit analysis of collapse mechanisms in cavities and tunnels according to the Hoek–Brown failure criterion[J]. International Journal of Rock Mechanics and Mining Sciences,2009,46(4):665–673.
[22] FRALDI M,GUARRACINO F. Evaluation of impending collapse in circular tunnels by analytical and numerical approaches[J]. Tunnelling and Underground Space Technology,2011,26(4):507–516.
[23] 王洪涛,李术才,王 琦,等. 非线性破坏准则下水平浅埋条形锚板抗拔承载力的极限分析[J]. 工程力学,2014,31(2):131–138. (WANG Hongtao,LI Shucai,WANG Qi,et al. Limit analysis of ultimate pullout capacity of shallow horizontal strip anchor plate based on nonlinear failure criterion[J]. Engineering mechanics,2014,31(2):131–138.(in Chinese))
[24] YANG X L,HUANG F. Collapse mechanism of shallow tunnel based on nonlinear Hoek-Brown failure criterion[J]. Tunnelling and Underground Space Technology,2011,26(6):686–691.
[25] JOHANSSON F,SPROSS J,DAMASCENO D,et al. Investigation of research needs regarding the storage of hydrogen gas in lined rock caverns:Prestudy for Work Package 2.3 in HYBRIT Research Program 1[R]. Stockholm,Sweden:KTH Royal Institute of Technology,2018.
[26] CHEHADE H A,DIAS D,SADEK M,et al. Seismic internal stability of saturated reinforced soil retaining walls using the upper bound theorem of limit analysis[J]. Soil Dynamics and Earthquake Engineering,2022,155:107180.
[27] 陈惠发. 极限分析与土体塑性[M]. 北京:人民交通出版社,1995:17–19.(CHEN Huifa. Limit analysis and soil plasticity[M]. Beijing:China Communications Press,1995:17–19.(in Chinese))
[28] PARK D. Influence of the Hoek-Brown failure criterion with tensile strength cut-off on the roof stability in deep rock tunnels[J]. Tunnelling and Underground Space Technology,2023,136:105016.
[29] CAO Z,XU B,CAI Y,et al. Application of the modified Hoek-Brown criterion in the analysis of the ultimate bearing capacity at the tip of a pile in inclined rocks[J]. International Journal of Rock Mechanics and Mining Sciences,2022,160:105276.
[30] 李术才,王洪涛,王 琦,等. Hoek-Brown准则下预应力锚索锚固体破坏的极限分析[J]. 岩土力学,2014,35(2):466–473.(LI Schucai,WANG Hongtao,WANG Qi,et al. Limit analysis of failure mechanism of prestressed anchor cable based on Hoek-Brown failure criterion[J]. Rock and Soil Mechanics,2014,35(2):466–473.(in Chinese))
[31] 张学言. 岩土塑性力学[M]. 北京:人民交通出版社,1993:20–25.(ZHANG Xueyan. Geotechnical plastic mechanics[M]. Beijing:China Communications Press,1993:20–25.(in Chinese))
[32] 徐英俊,夏才初,周舒威,等. 基于极限分析上限定理的压气储能洞室抗隆起破坏准则[J]. 岩石力学与工程学报,2022,41(10): 1 971–1 980.(XU Yingjun,XIA Caichu,ZHOU Shuwei,et al. Anti-uplift failure criterion of caverns for compressed air energy storage based on the upper bound theorem of limit analysis [J]. Chinese Journal of Rock Mechanics and Engineering,2022,41(10):1 971–1 980.(in Chinese))
[33] CLAUSEN J,DAMKILDE L. An exact implementation of the Hoek-Brown criterion for elasto-plastic finite element calculations[J]. International Journal of Rock Mechanics and Mining Sciences,2008,45(6):831–847.
[34] WANG H T,LIU P,LI S C,et al. Limit analysis of uplift failure mechanisms for a high-pressure gas storage tunnel in layered Hoek-Brown rock masses[J]. Engineering Failure Analysis,2022,138:106274.