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The effects of borehole thermal resistances and fluid flow rate on the g-functions of geothermal bore fields

机译:钻孔热阻和流体流速对地热钻孔场g函数的影响

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摘要

A model to calculate g-functions accounting for the axial variation of borehole wall temperatures and heat extraction rates due to thermal interaction between the fluid and the borehole wall is presented. Boreholes are divided into segments, with each borehole segment modeled as a finite line source. Borehole wall temperatures are calculated from the spatial and temporal superposition of the finite line source solution. A delta-circuit of thermal resistances is used to consider the heat transfer between the fluid and the borehole wall. A system of equations is built in the Laplace domain and solved for an equal inlet fluid temperature for all boreholes in the bore field. The values of the g-function tend toward the g-function obtained using a uniform heat extraction rate boundary condition as the borehole thermal resistance increases and tend toward the g-function obtained using a uniform temperature boundary condition as the borehole thermal resistance decreases. It is shown that modeling the thermal interaction between the fluid and the borehole wall is required to accurately predict the g-function.
机译:提出了一种计算g函数的模型,该模型考虑了井壁温度和流体与井壁之间的热相互作用引起的热量提取率的轴向变化。钻孔被分为多个部分,每个钻孔部分都被建模为有限线源。钻孔壁温是根据有限线源解的时空叠加来计算的。热阻三角电路用于考虑流体与井壁之间的热传递。在拉普拉斯域中建立了一个方程组,并针对井场中的所有井孔求解了相等的入口流体温度。随着井眼热阻的增加,g函数的值趋于使用均匀的热提取率边界条件获得的g函数,随着井眼热阻的减小,g函数的值趋向于使用均匀的温度边界条件获得的g函数。结果表明,需要对流体与井壁之间的热相互作用进行建模,才能准确预测g函数。

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