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考虑变应力影响的粗糙裂缝油水两相流动能力数值模拟方法
王东英,姚军,宋文辉,孙海
(中国石油大学(华东)石油工程学院,山东青岛 266580)
摘要:
油水两相相对渗透率和毛管力曲线是表征裂缝中流体流动特性的重要指标。基于侵入逾渗模型,建立一种考虑变应力影响的粗糙裂缝内油水两相流动数值模拟方法。通过蒙特卡洛法构建单条粗糙裂缝模型;利用侵入逾渗模型模拟单条粗糙裂缝中的稳态油-水驱替过程,数值求解毛管力及相对渗透率曲线。通过与Mualem解析模型比较验证模型的准确性。借助裂缝所受有效应力与开度间的解析关系,研究变应力影响下油水两相流动能力的变化规律。结果表明:油-水驱替过程中,随着裂缝有效应力增加,毛管力曲线呈整体抬升趋势,其中油相相对渗透率明显减小,而水相相对渗透率基本不变,同时发现油相开始流动对应的含水饱和度和水相基本失去流动能力对应的含水饱和度均随有效应力的增加而减小。
关键词:  单条粗糙裂缝  相对渗透率  毛管力  变应力  侵入逾渗模型
DOI:10.3969/j.issn.1673-5005.2020.02.013
分类号::TE 348
文献标识码:A
基金项目:国家自然科学基金项目(51490654,51504276,51711530131,51674280,51234007);山东省自然科学基金项目(ZR2016EL09);中央高校基本科研业务费专项资金(18CX06007A)
Numerical simulation of oil and water two-phase flow in fractures with rough surface considering dynamic stress effect
WANG Dongying, YAO Jun, SONG Wenhui, SUN Hai
(School of Petroleum Engineering in China University of Petroleum (East China), Qingdao 266580, China)
Abstract:
The relative permeability and capillary pressure curves of oil and water flow are commonly used as important indicators to describe the flow characteristics in fractures. Considering the effect of dynamic stress, an invasion percolation model was applied to simulate oil and water two-phase flow in fractures with rough surface. In this work, a single fracture model was firstly constructed using a method of Monte-Carlo stochastic simulation. Then, a steady-state displacement process was simulated to numerically solve the relative permeability and capillary pressure curves. The accuracy of the new model was verified by comparing with the Mualem model. The impact of dynamic stress upon oil and water flow was characterized using an analytical relationship between the effective stress and fracture aperture. The results indicate that, as the displacement process continues, the capillary pressure curve is moved upward with the increase of effective stress, where the oil relative permeability decreases but the water relative permeability almost remains unchanged. In addition, during the displacement process, the water saturation corresponding to the initiation of oil phase flow decreases, and the water saturation corresponding to the cessation of water phase flow decreases.
Key words:  single rough fracture  relative permeability  capillary pressure  dynamic stress  invasion percolation model
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