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核废物地质处置、地热开发、石油开采等工程领域都可能涉及稀疏裂隙岩体中的水流-传热过程。现有的裂隙岩体水流-传热理论模型和计算方法基本上都是以平行光滑壁面裂隙模型为基础的,没有考虑裂隙的壁面局部接触对水流、水-岩热交换以及岩体传热的影响。针对粗糙壁面裂隙水流过程,阐述了基于Stokes方程的Reynolds润滑方程及Hele-Shaw裂隙模型,采用MATLAB软件中的PDE工具求解,并与Walsh的等效水力开度公式进行对比;分析壁面局部接触裂隙水流-传热与填充裂隙水流-传热的相似性,提出了瞬时局部热平衡假设的适用条件,并在裂隙局部接触体传热满足Biot数条件的前提下,计算分析裂隙局部接触体与水流之间的局部热平衡时间及其影响因素;在裂隙局部接触体与水流之间满足瞬时热平衡假设的前提下,利用填充裂隙水流-传热的解析解,计算了壁面局部接触裂隙水及两侧岩石的温度分布,并分析了裂隙局部接触面积率、裂隙开度、裂隙水平均流速对岩石温度和裂隙水温度的影响特征,结果表明:(1)在设定条件下,由于裂隙局部接触体与裂隙水流之间的热交换,裂隙水流对其两侧岩石温度的影响范围随接触面积率的增大而减小,裂隙两侧岩石对裂隙水流温度的影响程度随接触面积率的增大而增大;(2)裂隙开度和裂隙水流速对岩石温度和裂隙水温度的影响方式的影响是一致的,即由于裂隙水流量随裂隙开度和裂隙水流速的增大而增大,裂隙水流对其两侧岩石温度的影响范围随裂隙开度和裂隙水流速的增大而增大,裂隙两侧岩石对裂隙水流温度的影响程度随裂隙开度和裂隙水流速的增大而减小。
Nuclear waste geological disposal, geothermal development, oil exploration and other engineering fields may involve sparse fractured rock mass flow - heat transfer process. The existing theoretical models and calculation methods of water flow and heat transfer in fractured rock mass are basically based on the parallel smooth wall fracture model without considering the local contact of the wall surface of the fracture to the water flow, water-rock heat exchange and heat transfer of rock mass influences. The Reynolds lubrication equation and the Hele-Shaw fracture model based on the Stokes equation are described for the process of rough wall fissure flow. The PDE tool in MATLAB software is used to solve the problem, and the equivalent hydraulic opening formula of Walsh is compared. Water flow-heat transfer and fissure-water flow-heat transfer. The applicable conditions for the instantaneous local heat balance assumption are proposed. Under the premise of the Biot number condition, the local contact body and water flow The local thermal equilibrium time and its influencing factors are also discussed. Based on the assumption of instantaneous thermal equilibrium between the local contact body and the water flow in the fissure, the local contact fissure water and the rock on both sides of the fissure are calculated by using the analytic solution of the fissure water flow and heat transfer The results show that: (1) Under the conditions of setting, due to the local contact between the fissure and the fissure (fissure), the local contact area ratio of the fissure, the opening of fissure and the average velocity of fissure water are analyzed. The heat exchange between the water streams and the influence range of the fissure water flow on the rock temperature on both sides decrease with the increase of the contact area ratio. (2) The influences of the crack opening and fissure water flow velocity on the influence of rock temperature and fissure water temperature are the same, that is, the fissures Water flow rate increases with the increase of fissure opening and fissure water flow rate. The influence range of fissure water flow on the rock temperature on both sides increases with the increase of fissure opening and fissure water flow, and the influence of rock on both sides of fissure on fissure water flow The influence of temperature decreases with the increase of crack opening and fissure water flow rate.