This paper emphasizes on the development of an improved mathematical model to understand the single-phase gas flow in a coupled matrix-fracture fluid mass exchange in a stress-sensitive reservoir along with the numerical investigations. Traditional methods for gas flow in fractured reservoirs don’t take into account the stress-sensitive fracture permeability. The focus of the present work is to study the highly nonlinear single-phase gas flow in a stress-sensitive fractured reservoir by using a dual-porosity model accompanied by the influence of quadratic gradient term in the fracture fluid flow equation. The results demonstrate that the stress-sensitivity of the fracture permeability negatively influences the pressure profiles and thus production. The pressure profile is underestimated when stress-sensitivity is not considered. The underestimation increases with increase in the pressure gradient and fracture permeability modulus. The underestimation is shown to vary from 10⁶ Pa for constant pressure case to 10⁵ Pa for constant rate case in the fracture. Additionally, higher fracture and matrix permeability results in an improved and homogeneous contribution throughout the rock-matrix. Thus, compared to the method used conventionally the present method can be employed to obtain more accurate pressure profiles and thus productivity of the reservoir.

本文着重于改进数学模型的开发，以了解应力敏感储层中耦合的基质-裂缝流体质量交换中的单相气体流动以及数值研究。裂缝性储层中的传统气体流方法没有考虑应力敏感的裂缝渗透率。本工作的重点是通过使用双孔隙度模型并伴随着二次梯度项对裂缝流体流方程的影响，研究应力敏感裂缝性储层中的高度非线性单相气流。结果表明，裂缝渗透率的应力敏感性对压力分布和产量产生负面影响。如果不考虑应力敏感性，则压力分布会被低估。随着压力梯度和裂缝渗透率模量的增加，低估增加。低估显示为10 骨折时 恒压情况下为⁶ Pa，恒速情况下为10 ⁵ Pa。另外，较高的裂缝和基岩渗透率会导致整个岩石基体的分布改善且均匀。因此，与常规使用的方法相比，本发明的方法可用于获得更准确的压力曲线，从而获得储层的生产率。