Adomian solution of forchheimer model to describe porous media flow

Hadi Belhaj, Jafar Biazar, Stephen Butt, Rafiq Islam

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    4 Scopus citations

    Abstract

    Currently, fluid flow in porous media is mostly calculated by utilizing the well known diffusivity equation based on Darcy's law. This diffusivity equation is the core fluid flow equation in all modern reservoir simulators used to predict flow behaviors. Inaccurate predictions of reservoir simulators have been reported nevertheless, history matching has been achieved. This dilemma led to questioning the adequacy of the basic governing equation of fluid flow behavior in porous media. This paper suggesting a new governing equation that includes Darcy's viscous term, Forchheimer's inertial term and Brinkman's viscous term all in one model called the Modified Brinkman Model "MBM". MBM proven to accurately describe fluid flow in porous media in both Darcian and non-Darcian domains and can be used in both oil and gas reservoirs for both matrix and fracture systems. A genuine mathematical solution "Adomian decomposition technique" has been successfully employed to solve the partial differential model with great deal of accuracy and ease. The proposed MBM is expected to have wide applications in oil, gas and underground water reservoirs.

    Original languageBritish English
    Title of host publicationSociety of Petroleum Engineers - SPE/DOE Symposium on Improved Oil Recovery 2004, IOR 2004
    PublisherSociety of Petroleum Engineers (SPE)
    ISBN (Print)9781555639884
    DOIs
    StatePublished - 2004
    EventSPE/DOE Symposium on Improved Oil Recovery 2004, IOR 2004 - Tulsa, United States
    Duration: 17 Apr 200421 Apr 2004

    Publication series

    NameProceedings - SPE Symposium on Improved Oil Recovery
    Volume2004-April

    Conference

    ConferenceSPE/DOE Symposium on Improved Oil Recovery 2004, IOR 2004
    Country/TerritoryUnited States
    CityTulsa
    Period17/04/0421/04/04

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