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On the numerical solution of non‐linear reservoir flow models with gravity
Author(s) -
Hansen Ragnhild,
Espedal Magne S.
Publication year - 1995
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620381205
Subject(s) - displacement (psychology) , finite element method , flow (mathematics) , grid , mathematics , porous medium , fluid dynamics , mechanics , computer science , mathematical optimization , geology , porosity , geotechnical engineering , engineering , geometry , physics , structural engineering , psychology , psychotherapist
Based on a two‐phase fluid model for immiscible displacement in a porous medium, we develop and analyse numerical solution techniques for certain non‐linear phenomena. Two different solution strategies for the treatment of gravity effects, which are non‐trivial to model by existing solution techniques and may be of great influence in many practical flow situations, are presented. The solution procedures are based on an operator‐splitting technique, combining the modified method of characteristics with finite element techniques and adaptive grid refinement.