基于反S函数的盐岩单轴压缩全过程蠕变模型

doi:10.13722/j.cnki.jrme.2018.0670

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摘要为了研究盐岩的蠕变特性，对盐岩试件开展不同轴向应力下的单轴压缩蠕变试验。试验结果显示，盐岩稳态蠕变率和相同时刻的蠕变应变均随轴向应力增大而非线性增大，两者随轴向应力的变化规律均可用指数函数描述；盐岩蠕变过程具有非线性特征，且轴向应力越大、蠕变时间越长，非线性特征越明显。为了确定盐岩长期强度，提出一种改进的稳态蠕变率拐点法，该法确定的盐岩长期强度值与等时应力–应变曲线拐点法确定的结果非常接近，可为类似研究提供一定的借鉴。从唯象学的角度出发，通过对S形函数求反函数的方法，提出一种新的岩石单轴压缩全过程蠕变模型，并利用盐岩蠕变试验结果对模型合理性进行验证。结果表明，该模型不仅能够描述盐岩在低应力水平下的衰减蠕变和稳态蠕变，还能反映高应力水平下盐岩单轴压缩蠕变破坏全过程，特别是能够反映加速蠕变。模型以一个统一的表达式即可描述盐岩单轴压缩蠕变全过程的3个阶段，克服了元件组合模型需要分段处理的缺点；同时，该模型表达式非常简单，方便应用。

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	王军保1
	刘新荣2
	宋战平1
	赵宝云3
	蒋斌3
	黄天柱3

关键词 ：岩石力学, 盐岩, 蠕变特性, 稳态蠕变率, 长期强度, 反S函数, 蠕变模型

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.

Key words： rock mechanics salt rock creep properties steady creep rate long-term strength inverse S function creep model

引用本文:

王军保1，刘新荣2，宋战平1，赵宝云3，蒋斌3，黄天柱3. 基于反S函数的盐岩单轴压缩全过程蠕变模型[J]. 岩石力学与工程学报, 2018, 37(11): 2446-2459.
WANG Junbao1，LIU Xinrong2，SONG Zhanping1，ZHAO Baoyun3，JIANG Bin3，HUANG Tianzhu3. A whole process creeping model of salt rock under uniaxial compression based on inverse S function. , 2018, 37(11): 2446-2459.

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http://www.rockmech.org/CN/10.13722/j.cnki.jrme.2018.0670 或 http://www.rockmech.org/CN/Y2018/V37/I11/2446

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