Modeling of the Two-Phase Flow Through the Hydraulic Fractures in an Oil Reservoir

In this paper, we formulate a mathematical model of a two-phase flow near wells with hydraulic fracturing, based on the dimensional and similarity analysis and under the assumption of a quasi-stationary distribution of saturation in the fractures. The reliability of the model is assessed on the basi...

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Bibliographic Details
Published inLobachevskii journal of mathematics Vol. 44; no. 5; pp. 1700 - 1706
Main Authors Khamidullin, M. R., Potashev, K. A., Mazo, A. B.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.05.2023
Springer Nature B.V
Subjects
Algebra
Analysis
Dimensional analysis
Geometry
Hydraulic fracturing
Mathematical Logic and Foundations
Mathematical models
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
Reservoirs
Two phase flow
hydraulic fracturing
numerical-analytical model
mathematical model
quasi-stationary phase distribution
oil reservoir
efficient numerical scheme
two-phase flow
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Summary:In this paper, we formulate a mathematical model of a two-phase flow near wells with hydraulic fracturing, based on the dimensional and similarity analysis and under the assumption of a quasi-stationary distribution of saturation in the fractures. The reliability of the model is assessed on the basis of test cases in three-dimensional and simplified one-dimensional formulations. The model makes it possible to avoid building a numerical solution of the problem of saturation transfer inside the fractures, which fundamentally simplifies and speeds up the construction of a whole numerical solution of the two-phase flow problem in the fracture drainage area of an oil reservoir.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080223050335