振动条件下地层流体渗流的数学模型

Mathematical model for fluid filtration in formation under the condition of vibration

在对低渗透、特低渗透油气田的开发过程中 ,普遍因无机结垢、有机结垢、外来颗粒、粘土矿物等引起油水井近井带地层严重堵塞 ,而振动采油技术可作为解除或减轻地层堵塞的一种新型高效物理方法。应用动量守恒、能量守恒、流体动力学等基本原理 ,建立了地层参数、流体参数和振动作业参数之间相互耦合的数学模型 ,求出了单相微可压缩流体在可压缩地层中的平面一维和平面径向渗流方程的解析解 ,得到了各项参数与振动作业效果之间的关系 ,为振动采油的数值模拟提供了初始压力分布表达式。同时建立了相应的计算机模型 ,并利用振动边界条件下的拟稳态平面产能公式得出油井的平均产量 ,所得结果与油田实际情况基本吻合。

During the development of low-permeability and supper low-permeability reservoirs,the inorganic and organic scale deposits,foreign particle and clay mineral often block the formation near oil wells and water injection wells.The vibration oil production technique is an effective physical method to release or relieve the formation blocking.By using the theories of conservation of momentum,conservation of energy and hydrokinetics,a mathematical model for describing the relationship among the fluid parameters,the formation parameters and the vibrant operation parameters was established.The analytic solutions of one-dimensional and radial transfusion equation for compressive and single_phase fluid flow through the compressive formation were obtained.The effects of each parameter on the vibrant operation were also gotten.On the basis of the above results,the computation models were established.The equation for pseudo-steady state flat radial deliverability under the condition of vibration boundary was used to calculate the average production.The simulation results agree with the actual data of oil field.