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Well modeling in the multi‐scale finite‐volume context
Author(s) -
Jenny Patrick,
Lunati Ivan
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700570
Subject(s) - constraint (computer aided design) , finite volume method , context (archaeology) , scale (ratio) , flow (mathematics) , computer science , volume (thermodynamics) , extension (predicate logic) , mathematical optimization , mathematics , geology , mechanics , physics , geometry , thermodynamics , paleontology , quantum mechanics , programming language
An extension of the multi‐scale finite‐volume (MSFV) method is devised, which allows to simulate flow and transport in reservoirs with complex well configurations. The new framework fits nicely into the data structure of the original MSFV method and it has the important property that no large patches covering the whole well are required. For each well, an additional degree of freedom is introduced. While the treatment of pressure‐constraint wells is trivial, since the well‐bore reference pressure is explicitly specified, additional equations have to be solved to obtain the unknown pressure values of rate‐constraint wells. Numerical simulations of a difficult test case with multiple complex wells demonstrate the ability of the new framework to capture the interference between the various wells and the reservoir accurately. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)