压差时量的提出及平面单向流变量的等价性

The Theory of Pressure-difference-time and the Equivalence of Variables in Planar One-dimension Flow

针对平面单向流主动变化量与被动变化量之间函数关系有待明确的问题,提出了压差时量的概念,开展了平面单向流变量之间函数关系研究,在研究中利用压差时量与累积注入量之间的函数关系,结合Buckley-Leverett方程和Welge方程,推导了压差时量与出口端含水饱和度、含水率、累积采油量、采出程度之间的函数关系,获得了以下认识:平面单向流任意两个变量之间存在由参数方程所确定的函数关系,压差时量是参数方程的参数;平面单向流中的变量具有等价性。根据以上认识,以层间矛盾研究为例,利用压差时量概念和变量等价性研究了层间矛盾产生的机理。压差时量的概念和变量等价性的认识,明确了主动变量与被动变量之间的函数关系,建立了驱替过程中各变量之间的等价关系,该认识对相关理论问题和应用问题的研究起到一定促进作用。

In view of the fact that the functional relationship between the active and passive variations of planar one-dimension flow needs to be clarified,the concept of pressure difference time is proposed.The author studies the functional relationship between the active and passive variations of planar one-dimension flow.In this study,the functional relationship between pressure difference time and cumulative water injection given in the author′s literature is used in Buckley-leverett equation and Welge equation to derive the functional relationship between pressure difference time and water saturation,water ratio,cumulative oil production and the degree of reserve recovery.The following understandings have been obtained:there is a functional relationship between any two variables of planar one-dimension flow,which is determined by the parametric equation.Pressure Difference Time is the parameter of the parametric equation.Variables of planar one-dimension flow are equivalent.Based on the above understanding,taking the study of interlayer interference as an example,the mechanism of interlayer interference is studied by using the concept of pressure difference time and the equivalence of variables.Using the concept of pressure difference time and the knowledge of equivalence of variables,the author clarifies the functional relationship between active variable and passive variable,and the equivalence relationship between variables in displacement process.This understanding has a certain role in promoting the studies of theoretical issues and application issues.