Abstract: Since the deep-seated reservoir bears high pressure and high temperature,a partial or complete irreversible deformation is generated in the development process of deep-seated reservoir.The deformation apparently influences the reservoir's dynamic characteristic.Using analytical and numerical methods,flowing pressure distribution on variable boundary condition is derived from dealing with one dimension nonlinear-elastic flow mathematical model in deformed media,and compared with the results from general linear-elastic unsteady flow in porous media,and emphatically analysis flowing pressure distribution caused by the variation of permeability.The result shows that,as deformed media's elasticity increase,the formation pressure increase slowly at constant water injection rate and water injection rate increase under constant flowing bottom hole pressure.The formation pressure decrease rapidly at constant oil production and oil production decrease under constant flowing bottom hole pressure.The initial formation pressure should be retained in deformed media reservoir development in order to obtain a higher recovery.

Key words: deformed media, mathematical model, nonlinear analytical solution, numerical solution, development characteristic

摘要： 深层油藏的储层由于承受很高的压力和温度,开发这些油田的过程中,储层要发生部分或全部的不可逆变形,会明显地影响这些油田的动态特征.利用解析法和数值法对变形介质中一维非线性-弹性直线渗流的数学模型进行求解,得到不同边界条件下的压力分布,所得结果与常规的线性-弹性不稳定渗流解进行了比较,并着重分析了渗透率的变化对地层压力分布的影响,分析表明:当变形介质的弹性增加时,对于注水井来说,若给定注入量,则地层压力上升的越缓慢,若给定井底流压,则注入量增加;对于生产井来说,若给定产量,则地层压力下降的越剧烈,若给定井底流压,则产量下降.变形介质油藏的开发应以保持原始地层压力为前提,这样,才能得到较高的采收率.

关键词: 变形介质, 数学模型, 非线性, 解析解, 数值解, 开发特征