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1、油气渗流力学,2013.11,陈军斌 教授,Mechanics Of Oil And Gas Flow In Porous Media,Professor Junbin Chen,第二章 单相不可压缩液体的稳定渗流Chapter2 Steady state percolation of single-phase incompressible fluid,2.1 三种基本渗流方式 Three basic forms of percolation2.2 单相不可压缩液体的平面一维稳定渗流 Planar one-dimensional steady state percolation of sing
2、le-phase incompressible fluid 2.3 单相不可压缩流体的平面径向稳定渗流 Planar radial steady state percolation of single-phase incompressible fluid2.4 油井的不完善性 Imperfect well2.5 稳定试井 Systematic well testing（Step rate testing）2.6 单相流体渗流的微分方程 Differential equation of single-phase fluid percolation,2.1 三种基本渗流方式 Three basic
3、 forms of percolation,平面一维渗流planar one-dimensional percolation,平面径向渗流planar radial percolation,球面径向渗流globe radial percolation,第二章 单相不可压缩液体的稳定渗流Chapter2 Steady state percolation of single-phase incompressible fluid,第二章 单相不可压缩液体的稳定渗流Chapter2 Steady state percolation of single-phase incompressible flui
4、d,2.1 三种基本渗流方式 Three basic forms of percolation2.2 单相不可压缩液体的平面一维稳定渗流 Planar one-dimensional steady state percolation of single-phase incompressible fluid 2.3 单相不可压缩流体的平面径向稳定渗流 Planar radial steady state percolation of single-phase incompressible fluid2.4 油井的不完善性 Imperfect well2.5 稳定试井 Systematic wel
5、l testing（Step rate testing）2.6 单相流体渗流的微分方程 Differential equation of single-phase fluid percolation,2.2 单相不可压缩液体的平面一维稳定渗流 Planar one-dimensional steady state percolation of single-phase incompressible fluid,不可压缩流体：体积不随着压力的变化而变化的流体，又称刚性流体。与之相反，称为可压缩流体。Incompressible fluid：the fluid that volume does n
6、ot change with the change of pressure，also known as rigid fluid.It is named as compressible fluid on the contrary.,稳定渗流：压力、渗流速度等运动参数不随时间变化而变化，又被称为定常渗流或稳态渗流。与之相反，称为不稳定渗流。Steady state percolation：The motion parameters，pressure、velocity etc.，do not change with time,also known as the steady state flow.I
7、t is named as unsteady state percolation on the contrary.,渗流场图：由一组等压线和一组流线按照一定规则构成的图形。Percolation field diagram：Graphics consisted of a set of isobar and a group of streamline according to certain rules.,第二章 单相不可压缩液体的稳定渗流Chapter2 Steady state percolation of single-phase incompressible fluid,2.2 单相不可
8、压缩液体的平面一维稳定渗流 Planar one-dimensional steady state percolation of single-phase incompressible fluid,假设长为L、宽为B、厚度为h的水平条带状油层，刚性水压驱动，地层是均质、等厚、各向同性的。供给边界上的压力为Pe，出口端为一排排液坑道，其压力为Pw。Assuming there is a horizontal strip oil layer，and its length is L，width is B，height is h，the reservior is rigid water drive，a
9、nd the fluid and rock are incompressible.And the formation is homogeneous，and isotropic.The supply boundary pressure is Pe，and the delivery end is an drainage pit whose pressure is Pw.,平面一维渗流planar one-dimensional percolation,第二章 单相不可压缩液体的稳定渗流Chapter2 Steady state percolation of single-phase incompr
10、essible fluid,2.2 单相不可压缩液体的平面一维稳定渗流 Planar one-dimensional steady state percolation of single-phase incompressible fluid,达西定律Darcy law,产量Production,压力梯度Pressure gradient,压力分布Pressure distribution,见水时间Breakthrough time,第二章 单相不可压缩液体的稳定渗流Chapter2 Steady state percolation of single-phase incompressible
11、fluid,第二章 单相不可压缩液体的稳定渗流Chapter2 Steady state percolation of single-phase incompressible fluid,2.1 三种基本渗流方式 Three basic forms of percolation2.2 单相不可压缩液体的平面一维稳定渗流 Planar one-dimensional steady state percolation of single-phase incompressible fluid 2.3 单相不可压缩流体的平面径向稳定渗流 Planar radial steady state perco
12、lation of single-phase incompressible fluid2.4 油井的不完善性 Imperfect well2.5 稳定试井 Systematic well testing（Step rate testing）2.6 单相流体渗流的微分方程 Differential equation of single-phase fluid percolation,2.3 单相不可压缩液体的平面径向稳定渗流 Planar radial steady state percolation of single-phase incompressible fluid,（1）地层是均质等厚
13、各向同性的；The formation is homogeneous，isopachous and isotropic；（2）地层内只有一种均质不可压缩液体在流动，且不考虑地层的压缩性；There is one kind of homogeneous and incompressible fluid flowing in formation；（3）流体与岩石无物理化学反应；There is no physical and chemical action between fluid and rock.（4）油井为裸眼井，地层形状如图所示。The production well is barefo
14、ot well and the shape of formation is shown as figure.,平面径向渗流planar radial percolation,第二章 单相不可压缩液体的稳定渗流Chapter2 Steady state percolation of single-phase incompressible fluid,2.3 单相不可压缩液体的平面径向稳定渗流 Planar radial steady state percolation of single-phase incompressible fluid,达西定律Darcy law,压力分布Pressure
15、distribution,产量Production,压力梯度Pressure gradient,平均地层压力Average pressure,见水时间Breakthrough time,第二章 单相不可压缩液体的稳定渗流Chapter2 Steady state percolation of single-phase incompressible fluid,第二章 单相不可压缩液体的稳定渗流Chapter2 Steady state percolation of single-phase incompressible fluid,2.1 三种基本渗流方式 Three basic forms
16、of percolation2.2 单相不可压缩液体的平面一维稳定渗流 Planar one-dimensional steady state percolation of single-phase incompressible fluid 2.3 单相不可压缩流体的平面径向稳定渗流 Planar radial steady state percolation of single-phase incompressible fluid2.4 油井的不完善性 Imperfect well2.5 稳定试井 Systematic well testing（Step rate testing）2.6 单
17、相流体渗流的微分方程 Differential equation of single-phase fluid percolation,2.4 油井的不完善性 Imperfect well,打开程度不完善Imperfect penetrating well,(1)不完善性分类 Classification of imperfect well,打开性质不完善Imperfect characteristic well,双重不完善Double imperfect well,第二章 单相不可压缩液体的稳定渗流Chapter2 Steady state percolation of single-phas
18、e incompressible fluid,2.4 油井的不完善性 Imperfect well,(2)不完善井的研究方法 Research method of imperfect well,1）表皮系数 Skin factor,2）折算半径 Converted radius,3）流动效率（不完善系数）The flow efficiency（imperfect factor）,第二章 单相不可压缩液体的稳定渗流Chapter2 Steady state percolation of single-phase incompressible fluid,第二章 单相不可压缩液体的稳定渗流Chap
19、ter2 Steady state percolation of single-phase incompressible fluid,2.1 三种基本渗流方式 Three basic forms of percolation2.2 单相不可压缩液体的平面一维稳定渗流 Planar one-dimensional steady state percolation of single-phase incompressible fluid 2.3 单相不可压缩流体的平面径向稳定渗流 Planar radial steady state percolation of single-phase inco
20、mpressible fluid2.4 油井的不完善性 Imperfect well2.5 稳定试井 Systematic well testing（Step rate testing）2.6 单相流体渗流的微分方程 Differential equation of single-phase fluid percolation,2.5 稳定试井 Systematic well testing（Step rate testing）,试井：直接从实测的产量、压力数据反求地层参数，然后用所求得地层参数来预测新的工作制度下的产量和压力。Well test：The formation parameter
21、s is obtained by directly using the measured production and pressure data and then to predict the production and pressure under new working condition.,稳定试井：试井过程中每一实测的压力、产量都不随时间变化的叫稳定试井。Systematic well test：That every measured pressure and production do not change with time in the process of well tes
22、ting,指示曲线：每一稳定制度下的产量压差点在以产量为横坐标、压差为纵坐标的曲线。Index curve：Production pressure difference points under each steady state system are drawn on the chart which its X-coordinate is production and the Y-coordinate is pressure difference.,第二章 单相不可压缩液体的稳定渗流Chapter2 Steady state percolation of single-phase incom
23、pressible fluid,第二章 单相不可压缩液体的稳定渗流Chapter2 Steady state percolation of single-phase incompressible fluid,2.1 三种基本渗流方式 Three basic forms of percolation2.2 单相不可压缩液体的平面一维稳定渗流 Planar one-dimensional steady state percolation of single-phase incompressible fluid 2.3 单相不可压缩流体的平面径向稳定渗流 Planar radial steady s
24、tate percolation of single-phase incompressible fluid2.4 油井的不完善性 Imperfect well2.5 稳定试井 Systematic well testing（Step rate testing）2.6 单相流体渗流的微分方程 Differential equation of single-phase fluid percolation,2.6 单相流体渗流的微分方程 Differential equation of single-phase fluid percolation,第二章 单相不可压缩液体的稳定渗流Chapter2
25、Steady state percolation of single-phase incompressible fluid,(1)单相流体渗流的连续性方程 Continuing equation of percolation of single-phase fluid,2.6 单相流体渗流的微分方程 Differential equation of single-phase fluid percolation,第二章 单相不可压缩液体的稳定渗流Chapter2 Steady state percolation of single-phase incompressible fluid,(2)状态
26、方程 State equation,液体状态方程 liquid state equation,岩石状态方程 Formation state equation,气体状态方程 Gas state equation,2.6 单相流体渗流的微分方程 Differential equation of single-phase fluid percolation,第二章 单相不可压缩液体的稳定渗流Chapter2 Steady state percolation of single-phase incompressible fluid,(3)达西方程 Darcy equation,(4)单相微可压缩液体渗
27、流基本微分方程 Basic differential equation of single-phase compressible fluid percolation,2.6 单相流体渗流的微分方程 Differential equation of single-phase fluid percolation,第二章 单相不可压缩液体的稳定渗流Chapter2 Steady state percolation of single-phase incompressible fluid,(5)油藏边界条件和初始条件 Boundary condition and initial condition of reservior,第一类边界条件 The first-kind boundary condition,第二类边界条件 The second-kind boundary condition,初始条件 The initial condition,谢 谢！,
