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 in:Lobachevskii journal of mathematics 2023-05, Vol.44 (5), p.1700-1706
Main Authors: Khamidullin, M. R., Potashev, K. A., Mazo, A. B.
Format: Article
Language:English
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
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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