Numerical Simulation of Natural Thermal Advection in the Process of Heat Transfer in Aquifers
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摘要: 较严密地推导了能够描述含水层热量运移中自然热对流作用的水流方程和热量运移方程,并在此基础上建立了一个三维非线性模型.根据模型的特点,提出综合采用Douglas Brian ADI差分法、特征线法返回技术及改进Picard迭代法求解,并给出了计算步骤.模型及数值方法用于模拟上海第二承压含水层中的一个群井储能试验.试验中的自然热对流作用得到了较好的体现,反映出模型合理可靠,方法有效,结果令人满意.Abstract: In this paper,the flow and thermal transport equations for the accurate description of natural thermal advection in the process of heat transfer in aquifers are manipulated and presented.A nonlinear three-dimensional heat transfer model is established as well.According to the characteristics of the model,the DouglasBrian ADI finite difference scheme,the characteristic reverse-tracking technique,and the improved Picard iterative method are proposed to solve it,and the calculation steps are also provided.Finally,the model together with the numerical methods are applied to simulate a multi-well RTES(Aquifer Thermal Energy Storage) experiment which was performed in the second confined aquifer in Shanghai.The results are satisfying and the natural thermal advection in the experiment is well represented.This shows that the model is reasonable and reliable,and the proposed methods are quite effective.
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Key words:
- aquifer /
- heat transfer /
- natural thermal advection /
- numerical simulation
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[1] 王大纯等.水文地质学墓础.北京:地质出版社.1980.131 [2] Buscheck T A.C:Doughty and C F Tsang.Prediction and analysis of a field experiment on multilayered aquifer thermal energy storage system with strong buoyancy flow.Water Resour.Res.1983.19(3):1307-1315 [3] Molson J W.E U Frind,and C D Palmer.Thermal energy storage in an unconfined aquifer,2.model development.validation and application.Water Ressour.Res.1992,28(10):2857-2867 [4] Bear J.Hydraulics of Groundwater.New york:Mc Graw-Hill,1979 [5] Bear J.Dynamics of Fluids in Porous Media.New York:Elsevier,1972 [6] 薛禹群主编.地下水动力学原理.北京:地质出版社,1986.4.7,38 [7] 张志辉,吴吉春,薛禹群.井流影响下的对流-弥散问题研究.水利学报.1995.5:60-66 [8] Lapidus L and G F Pinder.Numerical Solution of Partial Differential Equations in Science and Engineering.New York:John Wiley and Sons Inc.1982 [9] Xue Yuqun and Xie Chunhong.A characteristic alternating direction implicit scheme for adveclion-dispersion equation,Proceedings of 111 International Conference on Computational Methods in Water Resources.MIT USA 1988.63-68 [10] Paniconi C,A Aldama,and E f Wood.Numerical evaluation of iterative and noniterative methods for the solution of the nonlinear Richards equation,Water Resour.Res.1991,27(6):1147-1163 [11] Cooley R L A finite difference method for unssteady flow in variably saturated porous media:Application to a single pumping well,Water Resour.Res.1971.7(6):1607-1625 [12] Zhang Zhihui,Xue Yuqun,and Wu Jichun.A cubic-spline technique to calculate nodal Darclan velocities in aquifers.Water Resour.Res.1994,30(4):975-981 [13] Huyakorn P S,S D Thomas,and B M Thompson,Techniques for making finite elements competitive in modeling flow in variably saturated porous media.Water Resour.Res.1984,20(8):1099-1115 -

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