－20 ℃～50 ℃范围内盐岩的热导率研究

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摘要为了研究－20 ℃～50 ℃范围内盐岩的热导率，对初始温度分别为－20 ℃，0 ℃，20 ℃，45 ℃的盐岩试样热传导试验结果进行分析，建立盐岩导热反问题的数学模型。根据边界条件信息和试验测得的内部温度分布场，采用隐式差分格式对数学模型进行离散化处理并结合Matlab数值求解程序对反问题进行求解，确定盐岩热导率随温度变化的函数表达式；并将其代入有限元程序进行模拟。将模拟出的温度场同试验结果进行对比，二者吻合较好。结果表明：－20 ℃～50 ℃范围内盐岩的热导率与热力学温度呈抛物线型关系，并随温度的升高不断降低。－20 ℃～50 ℃范围内盐岩热导率的确定，对盐岩各种物理力学性质的温度效应研究以及盐岩储气库的实际工程应用都有一定的指导意义。

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关键词 ：岩石力学, 盐岩, 热导率, 导热反问题, 温度场, 隐式差分格式, 有限元模拟

Abstract：To study the thermal conductivity of salt rock at temperature ranges from －20 ℃ to 50 ℃，a mathematical model of inverse heat conduction problem is established which is based on the analysis of test results of heat conduction for salt rock samples at the initial temperature of －20 ℃，0 ℃，20 ℃，45 ℃. According to information on the boundary conditions and the test results of the internal temperature distribution field，using implicit finite difference scheme and combining Matlab numerical solution procedures to solve the inverse problem，the function expression of thermal conductivity coefficient is defined. The function expression is applied into finite element procedure to simulate temperature field. Compared with the experimental results，the two fit well. The results show that the relationship between the thermal conductivity of salt rock at temperature ranges －20 ℃ to 50 ℃ and absolute temperature yields is parabolic，and the thermal conductivity drops when the temperature rises. The determination of thermal conductivity of salt rock at temperature range from －20 ℃ to 50 ℃ would provide certain guiding significance for study of temperature effects of variety of mechanical properties of rock salt as well as actual project application in salt rock storage caverns.

Key words： rock mechanics salt rock thermal conductivity coefficient inverse heat conduction problem temperature field implicit difference scheme finite element simulation

收稿日期: 2012-04-28

引用本文:

马聪，谭跃虎，李二兵，杨蒙. －20 ℃～50 ℃范围内盐岩的热导率研究[J]. 岩石力学与工程学报, 2012, 31(s2): 3725-3730.
MA Cong，TAN Yuehu，LI Erbing，YANG Meng. RESEARCH ON THERMAL CONDUCTIVITY OF SALT ROCK AT TEMPERATURE RANGE FROM -20 ℃ TO 50 ℃. , 2012, 31(s2): 3725-3730.

链接本文:

http://www.rockmech.org/CN/Y2012/V31/Is2/3725

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