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    Effect of wettability on two-phase quasi-static displacement: validation of two pore scale modeling approaches

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    Type
    Article
    Authors
    Verma, Rahul
    Icardi, Matteo cc
    Prodanović, Maša
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Date
    2018-01-06
    Online Publication Date
    2018-01-06
    Print Publication Date
    2018-05
    Permanent link to this record
    http://hdl.handle.net/10754/626856
    
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    Abstract
    Understanding of pore-scale physics for multiphase flow in porous media is essential for accurate description of various flow phenomena. In particular, capillarity and wettability strongly influence capillary pressure-saturation and relative permeability relationships. Wettability is quantified by the contact angle of the fluid-fluid interface at the pore walls. In this work we focus on the non-trivial interface equilibria in presence of non-neutral wetting and complex geometries. We quantify the accuracy of a volume-of-fluid (VOF) formulation, implemented in a popular open-source computational fluid dynamics code, compared with a new formulation of a level set (LS) method, specifically developed for quasi-static capillarity-dominated displacement. The methods are tested in rhomboidal packings of spheres for a range of contact angles and for different rhomboidal configurations and the accuracy is evaluated against the semi-analytical solutions obtained by Mason and Morrow (1994). While the VOF method is implemented in a general purpose code that solves the full Navier-Stokes (NS) dynamics in a finite volume formulation, with additional terms to model surface tension, the LS method is optimised for the quasi-static case and, therefore, less computationally expensive. To overcome the shortcomings of the finite volume NS-VOF system for low capillary number flows, and its computational cost, we introduce an overdamped dynamics and a local time stepping to speed up the convergence to the steady state, for every given imposed pressure gradient (and therefore saturation condition). Despite these modifications, the methods fundamentally differ in the way they capture the interface, as well as in the number of equations solved and in the way the mean curvature (or equivalently capillary pressure) is computed. This study is intended to provide a rigorous validation study and gives important indications on the errors committed by these methods in solving more complex geometry and dynamics, where usually many sources of errors are interplaying.
    Citation
    Verma R, Icardi M, Prodanović M (2018) Effect of wettability on two-phase quasi-static displacement: validation of two pore scale modeling approaches. Journal of Contaminant Hydrology. Available: http://dx.doi.org/10.1016/j.jconhyd.2018.01.002.
    Sponsors
    This work was supported by the Gas EOR consortium at UT Austin (RV), by NSF CAREER grant 1255622 (MP) and by the King Abdullah University of Science and Technology (KAUST) (MI). MI was supported by the Academic Excellency Alliance (AEA) UT Austin-KAUST project “Uncertainty quantification for predictive modeling of the dissolution of porous and fractured media” and by the KAUST SRI Center for Uncertainty Quantification in Computational Science and Engineering.
    Publisher
    Elsevier BV
    Journal
    Journal of Contaminant Hydrology
    DOI
    10.1016/j.jconhyd.2018.01.002
    Additional Links
    http://www.sciencedirect.com/science/article/pii/S0169772217300992
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.jconhyd.2018.01.002
    Scopus Count
    Collections
    Articles; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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