A novel POD reduced-order model based on EDFM for steady-state and transient heat transfer in fractured geothermal reservoir

A novel POD reduced-order model based on EDFM for steady-state and transient heat transfer in fractured geothermal reservoir
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基于 EDFM 的新型 POD 降阶模型,用于裂缝性地热储层稳态和瞬态传热

DOI:
10.1016/j.ijheatmasstransfer.2019.118783
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发表时间:
2020
影响因子:
5.2
通讯作者:
Yu Bo
Yu Bo
中科院分区:
工程技术2区
文献类型:
--
作者:
Li Tingyu;Gao Yanqing;Han Dongxu;Yang Fusheng;Yu Bo

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提出了一种新的裂缝性地热储层流体流动和传热过程的正交分解降阶模型(POD-ROM)。首先,基于嵌入式离散断裂模型建立了初级控制方程。其次,POD-ROM 是通过将离散矩阵方程而不是主要控制方程投影到由压力和温度基函数跨越的低维空间上来开发的。与典型的POD建模方法相比,新的模型简化技术可以轻松处理基体与裂缝之间的质量和能量传递,从而保证整个系统在投影过程中的质量和能量守恒。新模型不需要复杂的数学推导,在实际应用中易于实现。针对三种复杂的传热情况仔细研究了模型的准确性和鲁棒性。计算结果表明,在保持较高的重建和预测精度的同时,计算效率至少可以提高10-15倍。
A new proper orthogonal decomposition reduced-order model (POD-ROM) for fluid flow and heat transfer processes in a fractured geothermal reservoir is proposed. First, the primary governing equations are established based on the embedded discrete fracture model. Second, the POD-ROM is developed by projecting the discrete matrix equations instead of the primary governing equations onto the low-dimensional space spanned by the pressure and temperature basis functions. Compared with the typical POD modeling method, the new model reduction technique can easily deal with mass and energy transfer between the matrix and fractures, thus ensuring the mass and energy conservation of the whole system in the projection process. The new model does not require complex mathematical deduction and is easy to implement in practical applications. The accuracy and robustness of the model were carefully studied for three complex heat transfer cases. Calculation results indicated that the computational efficiency can be improved by at least 10–15 times while high reconstruction and prediction accuracy is maintained.
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