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

doi:10.11885/j.issn.1674-5086.2019.05.15.01

Abstract

Abstract: 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.

Key words: pressure-difference-time, planar one-dimension flow, variable, equivalence, interlayer interference, mechanism, functional relationship, recovery ratio

CLC Number:

TE319

LIU Hailong. The Theory of Pressure-difference-time and the Equivalence of Variables in Planar One-dimension Flow[J]. 西南石油大学学报(自然科学版), 2020, 42(1): 147-154.

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