DOI: https://doi.org/10.26089/NumMet.v23r105

Finite element modeling of multiphase flows with their balancing while setting the working pressure on wells during oil production

Authors

  • Anastasia S. Ovchinnikova
  • Ilya I. Patrushev
  • Alexander M. Grif
  • Marina G. Persova
  • Yuri G. Soloveichik

Keywords:

multiphase flow in porous media
numerical 3D modeling of hydrocarbon reservoirs
finite element method
local flows conservation

Abstract

Approaches to modeling multiphase flow in oil reservoir while setting the working pressure for the perforation zones of active wells are considered. The proposed numerical method is based on an implicit calculation of the pressure and an explicit recalculation of the phase saturations in the mesh cells at each time step. Description of the mathematical model, general computational scheme, finite element approximation of the pressure field are presented. To ensure conservation of the mixture flows, special method of balancing is used, and its algorithm is presented. The studies were carried out on the problem of the comparative project SPE-10, for which the calculation of flows for the perforated zones of wells with a set pressure was carried out using two approaches.

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Published

2022-03-12

Issue

Vol. 23 (2022): Issue 1.

Section

Methods and algorithms of computational mathematics and their applications

Author Biographies

Anastasia S. Ovchinnikova

Novosibirsk State Technical University
• PhD Student

Ilya I. Patrushev

Novosibirsk State Technical University
• PhD Student

Alexander M. Grif

Novosibirsk State Technical University
• PhD Student

Marina G. Persova

Novosibirsk State Technical University
• Professor, Head of Laboratory

Yuri G. Soloveichik

Novosibirsk State Technical University
• Professor, Head of Department

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Copyright (c) 2022 А. С. Овчинникова, И. И. Патрушев, А. М. Гриф, М. Г. Персова, Ю. Г. Соловейчик

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