In this study, novel analytical solutions are presented for predicting and optimizing energy (heat and power) extraction from an idealized single hot-dry rock (HDR) or hot-wet rock (HWR) through a multistage hydraulically fractured horizontal well doublet (MHFWD). The solutions are based on a two-dimensional analytical model that accounts for heat transfer mechanisms through an MHFWD completed in a homogeneous nearly impermeable matrix of the HDR/HWR system. The method of Laplace transformation is used to obtain the solutions. The solutions are inverted numerically and analytically to compute the fracture water outlet temperature and the temperature inside the matrix in the real-time domain. The analytical solutions presented in the study have not been presented elsewhere. The fluid outlet and matrix temperature distributions computed from the analytical model were validated against the results of a commercial simulator. The derived analytical solutions were integrated to convert thermal energy to electric power, and a sensitivity study was performed to investigate the effect of certain parameters, such as fracture height, number, half spacing, injection rate, and injection temperature. In addition, the study provides insights and guidelines to predict, design, and optimize heat recovery and electricity production from an EGS system stimulated by an MHFWD.

在这项研究中，提出了新颖的分析解决方案，用于通过多级水力压裂水平井双井 (MHFWD) 从理想化的单一干热岩石 (HDR) 或湿热岩石 (HWR) 中预测和优化能量（热和电力）提取. 这些解决方案基于二维分析模型，该模型解释了通过在 HDR/HWR 系统的几乎不可渗透的均质矩阵中完成的 MHFWD 的传热机制。使用拉普拉斯变换的方法来获得解。对解进行数值和解析反演，以计算实时域中的裂缝出水温度和矩阵内部的温度。研究中提出的分析解决方案尚未在其他地方提出。从分析模型计算出的流体出口和基质温度分布已根据商业模拟器的结果进行了验证。整合导出的解析解以将热能转换为电能，并进行灵敏度研究以研究某些参数的影响，例如裂缝高度、数量、半间距、注入速度和注入温度。此外，该研究为预测​​、设计和优化由 MHFWD 刺激的 EGS 系统的热回收和电力生产提供了见解和指南。如裂缝高度、数量、半间距、注入速度和注入温度。此外，该研究为预测​​、设计和优化由 MHFWD 刺激的 EGS 系统的热回收和电力生产提供了见解和指南。如裂缝高度、数量、半间距、注入速度和注入温度。此外，该研究为预测​​、设计和优化由 MHFWD 刺激的 EGS 系统的热回收和电力生产提供了见解和指南。