Matematicheskoe modelirovanie
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Matem. Mod.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Matematicheskoe modelirovanie, 2020, Volume 32, Number 4, Pages 75–93
DOI: https://doi.org/10.20948/mm-2020-04-06
(Mi mm4173)
 

This article is cited in 1 scientific paper (total in 1 paper)

Streamline method for simulation of compositional nonisothermal flow of viscoplastic oils

Y. V. Nevmerzhitskiya, A. V. Konyukhovb

a Moscow Institute of Physics and Technology
b Joint Institute for High Temperatures of the RAS
Full-text PDF (489 kB) Citations (1)
References:
Abstract: The purpose of this work is to develop a numerical method that allows to carry out calculations of nonisothermal compositional flow faster than traditional finite-volume methods. A plane problem of oil, water and gas flow is considered. Oil phase is represented by two components — light and heavy fractions, which like water, can gasify. The work takes into account not only the nonlinearity of the oil flow law, but also the temperature dependence of parameters of this law. This statement of the problem is relevant for modeling of high-viscosity oilfields development. To reduce the computational complexity of the problem, the streamline method with splitting by physical processes is used, which consists in separating convective transport directed along the flow propagation from processes associated with heat conduction and gravity, the direction of which does not coincide with the convective flow. A distinctive feature of the proposed method is the joint solution of pressure equations, energy and components mass balance both on streamlines and on the initial grid. This feature allows to perform correct calculations for oil flow with complex temperature-dependent rheology. Numerical solution of system of flow equations on two-dimensional grid and on streamlines is performed by IMPEC method. For the presented streamline method, an algorithm for taking into account thermal conductivity, as well as transition criteria between calculations on streamlines and on a two-dimensional grid is proposed. The developed program was verified by comparison with analytical solutions, as well as with the results of calculations by finite-volume methods on five-point and nine-point difference stencils.
Keywords: viscoplastic oils, nonlinear flow, compositional simulation, streamline method.
Received: 27.06.2019
Revised: 27.06.2019
Accepted: 25.11.2019
English version:
Mathematical Models and Computer Simulations, 2020, Volume 12, Issue 6, Pages 969–980
DOI: https://doi.org/10.1134/S2070048220060149
Document Type: Article
Language: Russian
Citation: Y. V. Nevmerzhitskiy, A. V. Konyukhov, “Streamline method for simulation of compositional nonisothermal flow of viscoplastic oils”, Matem. Mod., 32:4 (2020), 75–93; Math. Models Comput. Simul., 12:6 (2020), 969–980
Citation in format AMSBIB
\Bibitem{NevKon20}
\by Y.~V.~Nevmerzhitskiy, A.~V.~Konyukhov
\paper Streamline method for simulation of compositional nonisothermal flow of viscoplastic oils
\jour Matem. Mod.
\yr 2020
\vol 32
\issue 4
\pages 75--93
\mathnet{http://mi.mathnet.ru/mm4173}
\crossref{https://doi.org/10.20948/mm-2020-04-06}
\transl
\jour Math. Models Comput. Simul.
\yr 2020
\vol 12
\issue 6
\pages 969--980
\crossref{https://doi.org/10.1134/S2070048220060149}
Linking options:
  • https://www.mathnet.ru/eng/mm4173
  • https://www.mathnet.ru/eng/mm/v32/i4/p75
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024