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




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


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.

Author Biographies

Anastasia S. Ovchinnikova

Ilya I. Patrushev

Alexander M. Grif

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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How to Cite

Овчинникова А. С., Патрушев И. И., Гриф А. М., Персова М. Г., Соловейчик Ю. Г. Finite Element Modeling of Multiphase Flows With Their Balancing While Setting the Working Pressure on Wells During Oil Production // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2022. 23. 60-74. doi 10.26089/NumMet.v23r105



Methods and algorithms of computational mathematics and their applications