基于XFEM和混合EDFM和MINC模型的裂缝性增强型地热系统顺序耦合THM模型

Xiangyu Yu, Xia Yan, Cong Wang, Shihao Wang, Yushu Wu
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引用次数: 0

摘要

增强型地热系统(EGS)的长期流体循环涉及复杂的热-水文-机械(THM)耦合过程,该过程以水力裂缝和诱发天然裂缝为主。三维扩展有限元法(XFEM)可以处理随压力变化和热应变变化的任意形状水力裂缝。诱导/天然裂缝被纳入模型,并作为多重相互作用连续体(MINC)的一个连续体来研究它们的影响。一个基于TOUGH2-EGS代码的程序被用来模拟热水文过程。采用与三维XFEM相兼容的三维嵌入离散裂缝法(EDFM)对水力裂缝进行建模。然后通过顺序耦合固定应力分裂方法将TOUGH2-EGS与XFEM模拟器耦合。首先在单断裂模型中引入断裂刚度系数,分析了该耦合方案的收敛性能。根据注入温度和热膨胀系数对该模型进行了敏感性分析。建立了具有水力裂缝和诱导裂缝/天然裂缝的EGS混合EDFM和MINC模型,并对其进行了分析。单断裂模型的收敛性能表明,适当的刚度系数对该模型至关重要,系数值的不同选择导致了不同的性能。通过比较有效应力、压力、温度、孔隙度/渗透率分布,以及动态生产温度、流出速率和注入裂缝渗透率,对注入温度和热膨胀率进行敏感性分析。结果表明:裂缝裂缝是由冷流体注入打开的,储层主要由热应力/应变控制。温度和压力分布同时受到热-水文-力学过程的影响,包括动态孔隙度、渗透率、应力/应变和流体粘度。热突破曲线反映了传导对流体加热的贡献最大,而流出速率反映了由于热孔弹性改变孔隙度/渗透率而造成的质量损失。在混合模型中,天然裂缝渗透率的提高通过允许注入流体接触更多的热储层来显著推迟热突破。自然裂缝间距、MINC分区数也会发生变化,以研究它们对生产行为的影响:增加的裂缝间距会延迟热突破,并且需要更多的MINC分区来提高建模精度。传统的耦合THM模型仅适用于无限小应变的假设,而在水力压裂的EGS储层中并不适用。引入断裂刚度使数值解趋于稳定。结合三维XFEM和EDFM,可以在三维EGS模型中处理任意裂缝形状。此外,水力和诱导/天然裂缝混合模型使我们能够建立EGS的增产储层体积,并研究操作和地质参数。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Sequentially Coupled THM Model for Fractured Enhanced Geothermal Systems using XFEM and Hybrid EDFM and MINC Models
The long-term fluid circulation of Enhanced Geothermal Systems (EGS) involves complex coupled Thermal-Hydrological-Mechanical (THM) processes dominated by hydraulic and induced natural fractures. The hydraulic fracture of arbitrary shape in response to pressure changes and thermal strains can be handled by the three-dimensional (3D) eXtended Finite Element Method (XFEM). The induced/natural fractures are incorporated into the model and treated as one continuum of the Multiple INteracting Continua (MINC) for the investigation of their impacts. A TOUGH-code-based program, TOUGH2-EGS, is utilized to simulate the Thermal-Hydrological processes. The 3D Embedded Discrete Fracture Method (EDFM), compatible with the 3D XFEM, is adopted to model the hydraulic fracture. TOUGH2-EGS is then coupled with an XFEM simulator by the sequentially coupled fixed-stress split approach. The convergence performance of this coupling scheme is firstly analyzed by introducing the fracture stiffness coefficient into a single-fracture model. Sensitivity analyses are performed for this model in terms of injection temperature and thermal expansivity. The hybrid EDFM and MINC model is established and analyzed for an EGS with both hydraulic and induced/natural fractures. The convergence performance of the single-fracture model shows that an appropriate stiffness coefficient is essential for this model and different choices of the coefficient value result in distinct performances. The sensitivity analyses for injection temperatures and thermal expansivity are conducted by comparing effective stresses, pressure, temperature, and porosity/permeability distributions, as well as dynamic production temperature, outflow rate, and injection fracture permeability. The results illustrate that the fracture aperture is opened by the cold fluid injection and the reservoir is dominated by the thermal stress/strain. The temperature and pressure distribution are both affected by the thermal-hydrological-mechanical processes through the dynamic porosity, permeability, stress/strain, and fluid viscosity. The thermal breakthrough curves reflect that the conduction contributes the most to heating the fluid while the outflow rates demonstrate the mass loss due to the porosity/permeability altered by thermo-poro-elasticity. In the hybrid model, the enhancement of the natural fracture permeability notably delays the thermal breakthrough by allowing injected fluid to contact more hot reservoirs. Natural fracture spacing, MINC partition numbers are also varied to investigate their influence on the production behavior: the increased spacing delays the thermal breakthrough and needs more MINC partitions for modeling accuracy. Traditional coupled THM models are only applicable under the assumption of infinitesimal strains which does not hold in hydraulically fractured EGS reservoirs. The introduction of fracture stiffness stabilizes the numerical solution. The combined 3D XFEM and EDFM is capable of handling arbitrary fracture shapes in a 3D EGS model. Moreover, the hybrid hydraulic and induced/natural fracture model enables us to establish the stimulated reservoir volume of the EGS and investigate the operational and geological parameters.
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