Hydraulic fracture; Fracture conductivity; Rock creep; Productivity damage; Numerical simulation
水力裂缝; 导流能力; 岩石蠕变; 产能损伤; 数值模拟
Abstract:
The continuous development of oil and gas resources has led to increasing engineering challenges associated with rock creep behavior. Rock creep affects the conductivity of artificial fractures and further impacts gas well productivity. However, the influence of rock creep has not been taken into account in current fracture conductivity models and productivity models. Therefore, this paper establishes a fractional-order creep constitutive equation based on the principle of fractional calculus, and develops a conductivity damage model considering proppant embedment, deformation and rock creep combined with experimental data. On this basis, a gas-water two-phase productivity model is used to analyze and discuss the influence law of conductivity damage on gas well productivity. The results show that the conductivity damage caused by rock creep is stronger than that induced by proppant embedment and deformation; the two parameters of fractional-order relaxation time and derivative order in the rock creep constitutive equation have little effect on gas well productivity; while the viscosity model has a relatively significant impact on productivity, which can be used as a characteristic parameter to characterize reservoir creep behavior.
随着油气资源的不断开发,岩石蠕变行为引发的工程问题日益增多,岩石的蠕变行为会影响到人工裂缝的导流能力,进而影响气井产能,但目前的裂缝导流能力模型和产能模型中均未将岩石蠕变带来的影响考虑在内。为此,本文利用分数阶微积分原理构建了分数阶蠕变本构方程,并结合实验数据建立了考虑支撑剂嵌入、变形和岩石蠕变的导流能力损伤模型。在此基础上,利用气-水两相产能模型分析讨论了导流能力损伤对气井产能的影响规律。研究表明,由岩石蠕变引起的导流能力损伤强于支撑剂嵌入和变形带来的影响;岩石蠕变本构方程中的分数阶弛豫时间和求导阶数两个参数对气井的产能影响较小;而黏性模量却对产能有着较为明显的影响,可作为储层蠕变行为的表征参数。