基于摄动法的压敏储层非线性渗流问题研究  

Study on Nonlinear Flow in Pressure-sensitive Formation By Perturbation Method

作　　者：康浩 宋新民[2] 高建[2] 雷征东[2] 付超 聂婷婷 KANG Hao;SONG Xin-min;GAO Jian;LEI Zheng-dong;FU Chao;NIE Ting-ting(College of Engineering,Hebei Normal University,Shijiazhuang 050024,China;State Key Laboratory of Enhanced Oil Recovery Reservoir Stimulation,Research Institute of Petroleum Exploration and Development(PetroChina),Beijing 100083,China)

机构地区：[1]河北师范大学中燃工学院,河北石家庄050024 [2]中国石油勘探开发研究院提高采收率国家重点实验室,北京100083

出　　处：《数学的实践与认识》2020年第7期190-197,共8页Mathematics in Practice and Theory

摘　　要：研究地层压力变化对渗流特征的影响,对低渗透储层、碳酸盐岩储层,或其他致密性储层的油气开采和储层改造都具有重要意义.在考虑渗流压力梯度平方项存在的前提下,运用摄动法求解的相关理论,将渗透率随压力的变化融入到渗流问题的求解过程中,有效地求解了该类压敏型储层的非线性渗流问题.结果表明,在实际应用中,尤其是在储层压敏性较弱的情况下,可考虑直接用0阶摄动解即可满足较好的计算精度;储层的压敏性越强,越适宜通过用摄动解的修正,来达到精确求解的目的.In low-permeability,carbonate or any other tight reservoir,To study the flow characteristics with reservoir pressure variation is of great significance for oil extraction and reservoir stimulation.Based on the relative theories of perturbation methods,this paper studies the nonlinear transient flow in pressure-sensitive formations and accurate perturbation solutions are obtained.In field practical applications,especially when the pressure sensitivity of formation is weak,0 order perturbation solution can possibly be considered enough to meet good accuracy;as the pressure sensitivity of formation becomes strong,higher order perturbation solutions are greatly recommended to obtain accurate results.

关 键 词：非线性流 不稳定流 压敏 压力梯度 摄动 

分 类 号：TE312[石油与天然气工程—油气田开发工程]