低温裂隙岩体的各向异性传热模型

doi:10.13722/j.cnki.jrme.2018.0560

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摘要低温裂隙岩体属于典型的非连续介质，其传热特性具有明显的各向异性特性和时变性。从传热学的基本原理出发，对含冰–水相变低温裂隙岩体的传热特性进行了研究。首先通过类比电阻，推导考虑冰水相变及热对流作用的低温单裂隙热阻模型。在此基础上，根据能量守恒定律并考虑对流换热作用对裂隙岩体等效传热特性的影响，推导低温单裂隙代表性体元的传热模型。基于传热性能的可叠加性，构建含多组优势节理低温岩体的各向异性传热模型，从而实现低温裂隙岩体传热性能的等效连续化处理。最后通过一个含水平裂隙岩样和理想岩质边坡对各向异性传热模型进行了验证，最大误差不超过1.0 ℃。该传热模型的精度满足实际低温裂隙岩体工程的要求。

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	刘乃飞1
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	李宁2
	宋战平1
	李国锋2

关键词 ：岩石力学, 裂隙岩体, 各向异性, 传热模型, 冰–水相变

Abstract：The fractured rock mass in cold regions is a typical discontinuous medium，whose heat-transfer characteristics have obviously anisotropy and time-variation. Based on the basic principles of heat transfer，the heat-transfer characteristics of fractured rock mass with ice-water phase change were carried out in this paper. Firstly，the thermal resistance model of single fracture under minus temperature was derived by drawing from the definition of resistance，which has considered the effect of ice-water phase change and thermal convection. Then，based on the law of energy conservation，the heat-transfer model of the representative volume element(RVE) of single fracture rock mass was developed by considering the effect of convective heat transfer on the equivalent heat-transfer property. Based on the additivity of heat-transfer，the anisotropic heat-transfer model of rock mass with several sets of fractures in cold regions was established，thus enabling the equivalent continuous treatment of heat-transfer property of fractured rock mass in cold regions. Finally，the model were verified by a rock sample with a set of horizontal fractures and a rockmass slope. The results indicate that the maximum error is less than 1.0 ℃，which means the accuracy of this model could meet the needs of the real fractured rock mass engineering in cold regions.

Key words： rock mechanics fractured rock mass anisotropic heat-transfer model ice-water phase change

引用本文:

刘乃飞1，2，李宁2，宋战平1，李国锋2. 低温裂隙岩体的各向异性传热模型[J]. 岩石力学与工程学报, 2019, 38(S1): 2625-2635.
LIU Naifei1，2，LI Ning2，SONG Zhanping1，LI Guofeng2. The anisotropic heat-transfer model of fractured rock mass in cold regions. , 2019, 38(S1): 2625-2635.

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http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2018.0560 或 http://rockmech.whrsm.ac.cn/CN/Y2019/V38/IS1/2625

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