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| A whole process creeping model of salt rock under uniaxial compression based on inverse S function |
| WANG Junbao1，LIU Xinrong2，SONG Zhanping1，ZHAO Baoyun3，JIANG Bin3，HUANG Tianzhu3 |
(1. School of Civil Engineering，Xi?an University of Architecture and Technology，Xi?an，Shaanxi 710055，China；
2. School of Civil Engineering，Chongqing University，Chongqing 400045，China；3. Department of Civil Engineering and Architecture，Chongqing University of Science and Technology，Chongqing 401331，China) |
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Abstract In order to study the creeping properties of salt rock，uniaxial compression creeping tests under different axial stresses were carried out on salt rock specimens. The test results indicate that the creep strain and the steady creeping rate of salt rock both increase gradually and exponentially with the increasing of axial stress. The creeping process of salt rock is nonlinear with respect to the axial stress and creeping time. The higher the axial stress level and the longer the creeping time，the more obvious the nonlinear characteristic. To determine the long term strength of salt rock，an improved inflection point method for steady creeping rate-stress curve was proposed. The long term strength of salt rock determined with the method is very close to that obtained from the inflection point method for isochronous stress-strain curves. The new method can provide some insight into the similar studies. A new whole process creeping model for rocks under uniaxial compression was established by taking the inverse of S shaped function. The creeping test results of salt rock were used to evaluate the reasonability of the creeping model. The comparison of prediction curves and the test results shows that not only the primary creeping stage and steady creeping stage under the low stress level，but also the whole creep process(the primary creep stage，steady creep stage and accelerated creep stage) under the high stress level of salt rock can be described by this model. The new creeping model can accurately reflect the three stages of rock creeping with a unified expression，and overcome the shortcomings of the combined component model which is segmented. In addition，the expression of the model is very simple and convenient for application.
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[1] 杨春和，梁卫国，魏东吼，等. 中国盐岩能源地下储存可行性研究[J]. 岩石力学与工程学报，2005，24(24)：4 409–4 417.(YANG Chunhe，LIANG Weiguo，WEI Donghou，et al. Investigation on possibility of energies storage in salt rock in China[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(24)：4 409–4 417.(in Chinese))
[2] 王军保，刘新荣，黄 明，等. 低频循环荷载下盐岩轴向蠕变的Burgers模型分析[J]. 岩土力学，2014，35(4)：933–942.(WANG Junbao，LIU Xinrong，HUANG Ming，et al. Analysis of axial creep properties of salt rock under low frequency cyclic loading using Burgers model[J]. Rock and Soil Mechanics，2014，35(4)：933–942.(in Chinese))
[3] 刘 伟，李银平，杨春和，等. 层状盐岩能源储库典型夹层渗透特性及其密闭性能研究[J]. 岩石力学与工程学报，2014，33(3)：500–506.(LIU Wei，LI Yinping，YANG Chunhe，et al. Investigation on permeable characteristics and tightness evaluation of typical interlayers of energy storage caverns in bedded salt rock formations[J]. Chinese Journal of Rock Mechanics and Engineering，2014，33(3)：500–506.(in Chinese))
[4] 陈 结，范金洋，姜德义，等. 盐岩应变硬化自弱化现象研究[J]. 岩石力学与工程学报，2015，34(8)：1 612–1 618.(CHEN Jie，FAN Jinyang，JIANG Deyi，et al. Study on phenomenon of self-weakening of strain hardening of salt rock[J]. Chinese Journal of Rock Mechanics and Engineering，2015，34(8)：1 612–1 618.(in Chinese))
[5] WANG G J，ZHANG L，ZHANG Y W，et al. Experimental investigations of the creep–damage–rupture behaviour of rock salt[J]. International Journal of Rock Mechanics and Mining Sciences，2014，66(1)：181–187.
[6] GÜNTHER R M，SALZER K，POPP T，et al. Steady-state creep of rock salt：improved approaches for lab determination and modeling[J]. Rock Mechanics and Rock Engineering，2015，48(6)：2 603–2 613.
[7] ROBERTS L A，BUCHHOLZ S A，MELLEGARD K D. Cyclic loading effects on the creep and dilation of salt rock[J]. Rock Mechanics and Rock Engineering，2015，48(6)：2 581–2 590.
[8] 杜 超，杨春和，马洪岭，等. 深部盐岩蠕变特性研究[J]. 岩土力学，2012，33(8)：2 451–2 456.(DU Chao，YANG Chunhe，MA Hongling，et al. Study of creep characteristics of deep rock salt[J]. Rock and Soil Mechanics，2012，33(8)：2 451–2 456.(in Chinese))
[9] 陈 锋，李银平，杨春和，等. 云应盐矿盐岩蠕变特性试验研究[J]. 岩石力学与工程学报，2006，25(增2)：3 022–3 027.(CHEN Feng，LI Yinping，YANG Chunhe，et al. Experimental study on creep behaviors of rock salt in Yunying salt mine[J]. Chinese Journal of Rock Mechanics and Engineering，2006，25(Supp.2)：3 022–3 027.(in Chinese))
[10] ÖZ?EN H，ÖZKAN ?，?ENSÖ?ÜT C. Measurement and mathematical modelling of the creep behaviour of Tuzköy rock salt[J]. International Journal of Rock Mechanics and Mining Sciences，2014，66(1)：128–135.
[11] MOGHADAMA S N，MIRZABOZORG H，NOORZAD A. Modeling time-dependent behavior of gas caverns in rock salt considering creep，dilatancy and failure[J]. Tunnelling and Underground Space Technology，2013，33(1)：171–185.
[12] ZHOU H W，WANG C P，HAN B B，et al. A creep constitutive model for salt rock based on fractional derivatives[J]. International Journal of Rock Mechanics and Mining Sciences，2011，48(1)：116–121.
[13] 丁靖洋，周宏伟，陈 琼，等. 盐岩流变损伤特性及本构模型研究[J]. 岩土力学，2015，36(3)：769–776.(DING Jingyang，ZHOU Hongwei，CHEN Qiong，et al. Characters of rheological damage and constitutive model of salt rock[J]. Rock and Soil Mechanics，2015，36(3)：769–776.(in Chinese))
[14] 吴 斐，谢和平，刘建锋，等. 分数阶黏弹塑性蠕变模型试验研究[J]. 岩石力学与工程学报，2014，33(5)：964–970.(WU Fei，XIE Heping，LIU Jianfeng，et al. Experimental study of fractional viscoelastic-plastic creep model[J]. Chinese Journal of Rock Mechanics and Engineering，2014，33(5)：964–970.(in Chinese))
[15] 易其康，马林建，刘新宇，等. 考虑频率影响的盐岩变参数蠕变损伤模型[J]. 煤炭学报，2015，40(增1)：93–99.(YI Qikang，MA Linjian，LIU Xinyu，et al. A variable parameters-based creep damage model considering the effect of frequency for rock salt[J]. Journal of China Coal Society，2015，40(Supp.1)：93–99.(in Chinese))
[16] 梁卫国，曹孟涛，杨晓琴，等. 溶浸–应力耦合作用下钙芒硝盐岩蠕变特性研究[J]. 岩石力学与工程学报，2016，35(12)：2 461–2 470. (LIANG Weiguo，CAO Mengtao，YANG Xiaoqin，et al. Experimental study on creep of glauberite salt rock under coupled compression and dissolution[J]. Chinese Journal of Rock Mechanics and Engineering，2016，35(12)：2 461–2 470.(in Chinese))
[17] 王军保，刘新荣，郭建强，等. 盐岩蠕变特性及其非线性本构模型[J]. 煤炭学报，2014，39(3)：445–451.(WANG Junbao，LIU Xinrong，GUO Jianqiang，et al. Creep properties of salt rock and its nonlinear constitutive model[J]. Journal of China Coal Society，2014，39(3)：445–451.(in Chinese))
[18] 张华宾，王芝银，赵艳杰，等. 盐岩全过程蠕变试验及模型参数辨识[J]. 石油学报，2012，9(5)：904–908.(ZHANG Huabin，WANG Zhiyin，ZHAO Yanjie，et al. The whole process experiment of salt rocks creep and identification of model parameters[J]. Acta Petrolei Sinica，2012，9(5)：904–908.(in Chinese))
[19] 范庆忠，高延法，崔希海，等. 软岩非线性蠕变模型研究[J]. 岩土工程学报，2007，29(4)：505–509.(FAN Qingzhong，GAO Yanfa，CUI Xihai，et al. Study on nonlinear creep model of soft rock[J]. Chinese Journal of Geotechnical Engineering，2007，29(4)：505–509.(in Chinese))
[20] 王军保，刘新荣，张倩倩，等. 芒硝蠕变特性及本构模型研究[J]. 四川大学学报：工程科学版，2015，47(5)：78–85.(WANG Junbao，LIU Xinrong，ZHANG Qianqian，et al. Study on creep properties and constitutive model of thenardite[J]. Journal of Sichuan University：Engineering Science Edition，2015，47(5)：78–85.(in Chinese))
[21] 武东生，孟陆波，李天斌，等. 灰岩三轴高温后效流变特性及长期强度研究[J]. 岩土力学，2016，37(增1)：183–191.(WU Dongsheng，MENG Lubo，LI Tianbin，et al. Study of triaxial rheological property and long-term strength of limestone after high temperature[J]. Rock and Soil Mechanics，2016，37(Supp. 1)：183–191.(in Chinese))
[22] 蒋昱州，徐卫亚，王瑞红. 角闪斜长片麻岩流变力学特性研究[J]. 岩土力学，2011，32(增1)：339–345.(JIANG Yuzhou，XU Weiya，WANG Ruihong. Investigation on rheological mechanical properties of hornblende plagioclase gneiss[J]. Rock and Soil Mechanics，2011，32(Supp.1)：339–345.(in Chinese))
[23] 李良权，徐卫亚，王 伟，等. 基于流变试验的向家坝砂岩长期强度评价[J]. 工程力学，2010，27(11)：127–136.(LI Liangquan，XU Weiya，WANG Wei，et al. Estimation of long-term strength for Xiangjiaba sandstone based on creep tests[J]. Engineering Mechanics，2010，27(11)：127–136.(in Chinese))
[24] 王军保，刘新荣，李 鹏，等. MMF模型在采空区地表沉降预测中的应用[J]. 煤炭学报，2012，37(3)：411–415.(WANG Junbao，LIU Xinrong，LI Peng，et al. Study on prediction of surface subsidence in mined-out region with the MMF model[J]. Journal of China Coal Society，2012，37(3)：411–415.(in Chinese))
[25] 刘玉成，曹树刚，刘延保. 可描述地表沉陷动态过程的时间函数模型探讨[J]. 岩土力学，2010，31(3)：925–931.(LIU Yucheng，CAO Shugang，LIU Yanbao. Discussion on some time functions for describing dynamic course of surface subsidence due to mining[J]. Rock and Soil Mechanics，2010，31(3)：925–931.(in Chinese))
[26] 王军保，刘新荣，刘 俊，等. 砂岩力学特性及其改进 Duncan- Chang模型[J]. 岩石力学与工程学报，2016，35(12)：2 388–2 397. (WANG Junbao，LIU Xinrong，LIU Jun，et al. Mechanical properties of sandstone and an improved Duncan-Chang constitutive model[J]. Chinese Journal of Rock Mechanics and Engineering，2016，35(12)：2 388–2 397.(in Chinese))
[27] 闫云明，李恒乐，郭士礼. 紫红色泥岩三轴蠕变力学特性试验研究[J]. 长江科学院院报，2017，34(6)：88–92.(YAN Yunming，LI Hengle，GUO Shili. Experimental study on creep mechanical characteristics of aubergine mudstone under three-dimensional stress conditions[J]. Journal of Yangtze River Scientific Research Institute，2017，34(6)：88–92.(in Chinese))
[28] 张 玉，金培杰，徐卫亚，等. 坝基碎屑岩三轴蠕变特性及长期强度试验研究[J]. 岩土力学，2016，37(5)：1 291–1 300.(ZHANG Yu，JIN Peijie，XU Weiya，et al. Experimental study of triaxial creep behavior and long-term strength of clastic rock in dam foundation[J]. Rock and Soil Mechanics，2016，37(5)：1 291–1 300.(in Chinese))
[29] 张治亮，徐卫亚，王如宾，等. 含弱面砂岩非线性黏弹塑性流变模型研究[J]. 岩石力学与工程学报，2011，30(增1)：2 634–2 639. (ZHANG Zhiliang，XU Weiya，WANG Rubin，et al. Study of nonlinear viscoelasto-plastic rheological model of sandstone with weak plane[J]. Chinese Journal of Rock Mechanics and Engineering，2011，30(Supp.1)：2 634–2 639.(in Chinese)) |
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2018, Vol. 37 
