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    Darcy-scale phase equilibrium modeling with gravity and capillarity

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    Embargo End Date:
    2021-09-05
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    Type
    Article
    Authors
    Sun, Shuyu cc
    KAUST Department
    Computational Transport Phenomena Lab
    Earth Science and Engineering Program
    Physical Science and Engineering (PSE) Division
    KAUST Grant Number
    BAS/1/1351-01-01
    Date
    2019-09-05
    Online Publication Date
    2019-09-05
    Print Publication Date
    2019-09
    Embargo End Date
    2021-09-05
    Permanent link to this record
    http://hdl.handle.net/10754/656713
    
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    Abstract
    The modeling of multiphase fluid mixture and its flow in porous media is of great interest in the field of reservoir simulation. In this paper, we formulate a novel energy-based framework to model multi-component two-phase fluid systems at equilibrium. Peng-Robinson equation of state (EOS) is used to model the bulk properties of each phase, though our framework works well also with other equations of state. Our model reduces to the conventional compositional grading if restricted to one spatial vertical dimension together with the assumption of monodisperse pore-size distribution (all pores being one size). However, our model can be combined with a general distribution of pore size, which can generate interesting behaviors of capillarity in porous media. In particular, the model can be used to predict the capillary pressure of two-phase fluid as a function of saturation, with a given pore-size distribution. This model is the quantitative study of the first time in the literature for the capillarity of a two-phase fluid with partial miscibility. We proposed an unconditional-stable energy-decay numerical algorithm based on convex-concave splitting, which has been demonstrated to be both robust and efficient using numerical examples. To verify our model, we simulate the compositional grading of a binary fluid mixture consisting of carbon dioxide and normal decane. To demonstrate powerful features of our model, we provide an interesting example of fluid mixture in a porous medium with wide pore size distribution, where the competition of capillarity and gravity is observed. This work represents the first effort in the literature that rigorously incorporates capillarity and gravity effects into EOS-based phase equilibrium modeling.
    Citation
    Sun, S. (2019). Darcy-scale phase equilibrium modeling with gravity and capillarity. Journal of Computational Physics, 399, 108908. doi:10.1016/j.jcp.2019.108908
    Sponsors
    The work was supported in part by the research project given by KAUST through the grant BAS/1/1351-01-01.
    Publisher
    Elsevier BV
    Journal
    Journal of Computational Physics
    DOI
    10.1016/j.jcp.2019.108908
    Additional Links
    https://linkinghub.elsevier.com/retrieve/pii/S0021999119306138
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.jcp.2019.108908
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program; Computational Transport Phenomena Lab

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