Abstract
Sandstone has been regarded as an optimal medium for underground gas storage (UGS). To better understand effects of drying-wetting (D-W) cycles on creep behavior of sandstone, comprehensive experimental investigations including uniaxial compression test (UCT) and uniaxial constant-load creep test (UCCT), were conducted on sandstone specimens under different D-W cycles. Experimental results demonstrate that the UCS and E, instantaneous strain, and steady creep rate of sandstone are greatly influenced by D-W treatment. Steady creep rate of sandstone increases with the increase in stress and D-W cycles, while both the UCS and long-term strength (σ∞) of sandstone specimens gradually decrease with the increase in D-W cycles. A novel fractal derivative creep constitutive model of sandstone considering the variations of viscosity coefficient and D-W cycles is established, which could accurately describe the creep characteristics of sandstone after different D-W cycles in the whole creep process. The influence of D-W cycles on the sensitivity of creep parameters is analyzed to discuss the influence of D-W cycles on creep and damage behavior of sandstone.
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References
Baud P, Zhu W, Wong TF (2000) Failure mode and weakening effect of water on sandstone. Journal of Geophysical Research: Solid Earth 105(B7):16371–16389, DOI: https://doi.org/10.1029/2000JB900087
Butscher C (2012) Steady-state groundwater inflow into a circular tunnel. Tunnelling and Underground Space Technology 32:158–167
Cao P, Youdao W, Yixian W, Haiping Y, Bingxiang Y (2016) Study on nonlinear damage creep constitutive model for high-stress soft rock. Environmental Earth Sciences 75(10):900–907, DOI: https://doi.org/10.1007/s12665-016-5699-x
Chen G, Li T, Wang W, Zhu Z, Chen Z, Tang O (2019) Weakening effects of the presence of water on the brittleness of hard sandstone. Bulletin of Engineering Geology and the Environment 78(3):1471–1483, DOI: https://doi.org/10.1007/s10064-017-1184-3
Du B, Cheng Q, Miao L, Wang J, Bai H (2021) Experimental study on influence of wetting-drying cycle on dynamic fracture and energy dissipation of red-sandstone. Journal of Building Engineering 44:102619
Dutton SP, Flanders WA, Barton MD (2003) Reservoir characterization of a Permian deep-water sandstone, East Ford field, Delaware Basin, Texas. AAPG Bulletin 87(4):609–627
Fei W, Jie L, Quanle Z, Cunbao L, Jie C, Renbo G (2020) A triaxial creep model for salt rocks based on variable-order fractional derivative. Mechanics of Time-Dependent Materials 25:101–118, DOI: https://doi.org/10.1007/s11043-020-09470-0
Feng Y-Y, Yang X-J, Liu J-G, Chen Z-Q (2021) Rheological analysis of the general fractional-order viscoelastic model involving the Miller-Ross kernel. Acta Mechanica 232:3141–3148, DOI: https://doi.org/10.1007/s00707-021-02994-7
Hosseini E, Holdsworth SR, Mazza E (2012) Creep constitutive model considerations for high-temperature finite element numerical simulations. The Journal of Strain Analysis for Engineering Design 47(6):341–349, DOI: https://doi.org/10.1177/0309324712450542
Hosseini E, Holdsworth S, Mazza E (2013) Stress regime-dependent creep constitutive model considerations in finite element continuum damage mechanics. International Journal of Damage Mechanics 22(8):1186–1205, DOI: https://doi.org/10.1177/1056789513479810
Hua Y, Xiuqin D (2013) Deposition of Yanchang Formation deep-water sandstone under the control of tectonic events in the Ordos Basin. Petroleum Exploration and Development 40(5):549–557, DOI: https://doi.org/10.1016/S1876-3804(13)60072-5
Kodama J, Goto T, Fujii Y, Hagan P (2013) The effects of water content, temperature and loading rate on strength and failure process of frozen rocks. International Journal of Rock Mechanics and Mining Sciences 62:1–13, DOI: https://doi.org/10.1016/j.ijrmms.2013.03.006
Li D-W, Fan J-H, Wang R-H (2011a) Research on visco-elastic-plastic creep model of artificially frozen soil under high confining pressures. Cold Regions Science and Technology 65(2):219–225, DOI: https://doi.org/10.1016/j.coldregions.2010.08.006
Li D, Li X, Li CC, Huang B, Gong F, Zhang W (2009) Case studies of groundwater flow into tunnels and an innovative water-gathering system for water drainage. Tunnelling and Underground Space Technology 24(3):260–268
Li P, Liu J, Li G, Zhu J, Liu S (2011b) Experimental study for shear strength characteristics of sandstone under water-rock interaction effects. Rock and Soil Mechanics 32(2):380–386
Li D, Wong LNY, Liu G, Zhang X (2012) Influence of water content and anisotropy on the strength and deformability of low porosity meta-sedimentary rocks under triaxial compression. Engineering Geology 126:46–66, DOI: https://doi.org/10.1016/j.enggeo.2011.12.009
Liu J, Wu F, Zou Q, Chen J, Ren S, Zhang C (2021) A variable-order fractional derivative creep constitutive model of salt rock based on the damage effect. Geomechanics and Geophysics for Geo-Energy and Geo-Resources 7(2):1–16
Liu H, Zhu W, Yu Y, Xu T, Li R, Liu X (2020) Effect of water imbibition on uniaxial compression strength of sandstone. International Journal of Rock Mechanics and Mining Sciences 127:104200, DOI: https://doi.org/10.1016/j.ijrmms.2019.104200
Loghman A, Shokouhi N (2009) Creep damage evaluation of thick-walled spheres using a long-term creep constitutive model. Journal of Mechanical Science and Technology 23(10):2577, DOI: https://doi.org/10.1007/s12206-009-0631-x
Masuda K (2001) Effects of water on rock strength in a brittle regime. Journal of Structural Geology 23(11):1653–1657, DOI: https://doi.org/10.1016/S0191-8141(01)00022-0
Olivella S, Gens A (2002) A constitutive model for crushed salt. International Journal for Numerical and Analytical Methods in Geomechanics 26(7):719–746, DOI: https://doi.org/10.1002/nag.220
Park K-H, Owatsiriwong A, Lee J-G (2008) Analytical solution for steady-state groundwater inflow into a drained circular tunnel in a semi-infinite aquifer: A revisit. Tunnelling and Underground Space Technology 23(2):206–209
Shin J, Addenbrooke T, Potts D (2002) A numerical study of the effect of groundwater movement on long-term tunnel behaviour. Geotechnique 52(6):391–403
Tang S, Yu C, Heap M, Chen P, Ren Y (2018) The influence of water saturation on the short-and long-term mechanical behavior of red sandstone. Rock Mechanics and Rock Engineering 51(9):2669–2687, DOI: https://doi.org/10.1007/s00603-018-1492-3
Tseng D-J, Tsai B-R, Chang L-C (2001) A case study on ground treatment for a rock tunnel with high groundwater ingression in Taiwan. Tunnelling and Underground Space Technology 16(3):175–183
Ulusay R, Hudson J (2007) The complete ISRM suggested methods for rock characterization, testing and monitoring. ISRM Turkish National Group, Ankara, Turkey
Vásárhelyi B, Ván P (2006) Influence of water content on the strength of rock. Engineering Geology 84(1–2):70–74, DOI: https://doi.org/10.1016/j.enggeo.2005.11.011
Wang C, Pei W, Zhang M, Lai Y, Dai J (2021) Multi-scale experimental investigations on the deterioration mechanism of sandstone under wetting-drying cycles. Rock Mechanics and Rock Engineering 54(1):429–441
Wang R, Zhuo Z, Zhou H, Liu J (2017) A fractal derivative constitutive model for three stages in granite creep. Results in Physics 7:2632–2638, DOI: https://doi.org/10.1016/j.rinp.2017.07.051
Wong LNY, Maruvanchery V, Liu G (2016) Water effects on rock strength and stiffness degradation. Acta Geotechnica 11(4):713–737, DOI: https://doi.org/10.1007/s11440-015-0407-7
Yu C, Tang S, Duan D, Zhang Y, Liang Z, Ma K, Ma T (2019) The effect of water on the creep behavior of red sandstone. Engineering Geology 253:64–74, DOI: https://doi.org/10.1016/j.enggeo.2019.03.016
Zhang Z, Niu Y, Shang X, Ye P, Zhou R, Gao F (2021) Deterioration of physical and mechanical properties of rocks by cyclic drying and wetting. Geofluids 2021
Zhou H, Wang C, Han B, Duan Z (2011) A creep constitutive model for salt rock based on fractional derivatives. International Journal of Rock Mechanics and Mining Sciences 48(1):116–121, DOI: https://doi.org/10.1016/j.ijrmms.2010.11.004
Acknowledgments
We would like to express their gratitude to the National Natural Science Foundation of China for the financial support from the project (Grant No. 41771083).
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Li, T., Hou, R., Liu, G. et al. Investigations on Creep Behavior and Fractal Derivative Constitutive Model of Sandstone under Different Drying-Wetting Cycles. KSCE J Civ Eng 26, 69–78 (2022). https://doi.org/10.1007/s12205-021-0083-0
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DOI: https://doi.org/10.1007/s12205-021-0083-0