有限长线热源条件下土壤三维非稳态热传导有限层分析方法

FINITE LAYER ANALYSIS METHOD FOR THREE-DIMENSIONAL UNSTEADY HEAT TRANSFER IN SOIL UNDER FINITE LONG-LINE HEAT SOURCE CONDITIONS

  • 摘要: 将能源桩在土壤中的热传导过程简化为有限长线热源模型,并基于热传导微分方程及Galerkin法推导了定温和绝热边界条件的土壤三维热传导有限层方程。利用差分法对时间项离散,给出了有限长线热源条件下的土壤三维非稳态热传导有限层方程的差分求解格式,建立了能源桩周层状非均质各向异性土壤热传导有限层分析方法。使得三维非稳态热传导问题转化为若干层面内的二维表达,简化了能源桩-土壤温度场分布的求解过程。通过与解析解、测试结果及有限元结果的比较,验证了热传导有限层方法计算温度场分布的正确性,并利用此方法分别研究了运行时长、桩周岩土体导热性能及场地边界条件对土壤温度场分布的影响。

     

    Abstract: The heat conduction process of energy pile in soil was simplified to a finite-length heat source model, and the three-dimensional heat conduction finite layer equation of soil with constant temperature and adiabatic boundary conditions was derived based on the differential equation of heat conduction and Galerkin method. By using the difference method to discretize the time term, the difference solution format of the finite layer equation of three-dimensional unsteady heat conduction in soil under the condition of finite long line heat source is given, and the finite layer analysis method of heat conduction in layered non-homogeneous anisotropic soil around the energy pile is established. The three-dimensional unsteady heat conduction problem is transformed into a two-dimensional expression within a number of layers, which simplifies the solution process of energy pile-soil temperature field distribution. The correctness of the finite-layer method of heat conduction for calculating the temperature field distribution is verified by comparing with the analytical solution, test results and finite element results, and the effects of the operation duration, the thermal conductivity of the rock and soil body around the pile and the site boundary conditions on the soil temperature field distribution are investigated separately by using this method.

     

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