The temperature effect on the permeability of porous rocks continues to be a considerable controversy in the area of reservoirs since the thermal expansion of mineral grains exhibits complicated influence on pore geometries in them. To investigate the degree of effect of pore structures on the hydro-thermal coupling process, a study of the thermal evolution of permeability and porosity of porous rocks is performed based on fractal theory and on thermal as well as stress effects. This work can provide a general physical explanation on some arguments in this area. The proposed models for permeability and porosity can be associated with temperature and the pore-structural parameters as well as physical parameters of porous rocks, such as the initial porosity (${\varphi }_0)$, the initial fractal dimension ($D_{f,0})$, the fractal dimension for tortuosity ($D_{T,T})$ and the thermal expansion coefficient of pore volume (${\alpha }_T)$. The validity of the proposed models for temperature-dependent permeability and temperature-dependent porosity is validated by comparing them with the available experimental results. The investigations are performed in detail considering the essential effects of pore-structural parameters and physical parameters of porous rock on the dimensionless temperature-dependent permeability and temperature-dependent porosity as well as the fractal dimensions for pore areas and tortuosity. It is found that the pore distribution scale range ratio (${\lambda }_{min,T}/{\lambda }_{max,T})$, and pore thermal expansion coefficient (${\alpha }_T)$ have significant effects on the dimensionless temperature-dependent permeability and temperature-dependent porosity of porous rock as well as the fractal dimensions for pore areas and tortuosity. The proposed models may provide a fundamental understanding of the coupled hydro-thermal process of rocks.

温度对多孔岩石渗透率的影响在储层领域仍然是一个相当大的争议，因为矿物颗粒的热膨胀对其孔隙几何形状表现出复杂的影响。为了研究孔隙结构对水热耦合过程的影响程度，基于分形理论和热应力效应，对多孔岩石的渗透率和孔隙度的热演化进行了研究。这项工作可以对该领域的一些论点提供一般性的物理解释。所提出的渗透率和孔隙度模型可以与温度和孔隙结构参数以及多孔岩石的物理参数相关联，例如初始孔隙度（${\phi }_0）$，初始分形维数（$D_{F,0}）$，弯曲度的分形维数（$D_{\mathrm{时间},\mathrm{时间}}）$和孔体积的热膨胀系数（${\alpha }_{\mathrm{时间}}）$。通过与现有实验结果进行比较，验证了所提出的温度相关渗透率和温度相关孔隙度模型的有效性。研究详细考虑了多孔岩石的孔隙结构参数和物理参数对无量纲随温度变化的渗透率和随温度变化的孔隙率以及孔隙面积和弯曲度的分形维数的本质影响。发现孔隙分布尺度范围比（${\lambda }_{分钟,\mathrm{时间}}/{\lambda }_{最大限度,\mathrm{时间}}）$，和孔隙热膨胀系数（${\alpha }_{\mathrm{时间}}）$对多孔岩石的无量纲温度相关渗透率和温度相关孔隙率以及孔隙面积和弯曲度的分形维数有显着影响。所提出的模型可以提供对岩石耦合热液过程的基本理解。