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  • Open Access

    ARTICLE

    Analytical Modeling and Comparative Analysis of Capillary Imbibition in Shale Pores of Various Geometries

    Jin Xue, Boyun Guo*

    CMES-Computer Modeling in Engineering & Sciences, Vol.144, No.3, pp. 3307-3328, 2025, DOI:10.32604/cmes.2025.069909 - 30 September 2025

    Abstract Fluid imbibition from hydraulic fractures into shale formations is mainly affected by a combination of capillary forces and viscous resistance, both of which are closely related to the pore geometry. This study established five self-imbibition models with idealized pore structures and conducted a comparative analysis of these models. These models include circular, square, and equilateral triangular capillaries; a triangular star-shaped cross-section formed by three tangent spherical particles; and a traditional porous medium representation method. All these models are derived based on Newton’s second law, where capillary pressure is described by the Young-Laplace equation and viscous… More >

  • Open Access

    ARTICLE

    Numerical Stability and Accuracy of Contact Angle Schemes in Pseudopotential Lattice Boltzmann Model for Simulating Static Wetting and Dynamic Wetting

    Dongmin Wang1,2,*, Gaoshuai Lin1

    CMES-Computer Modeling in Engineering & Sciences, Vol.137, No.1, pp. 299-318, 2023, DOI:10.32604/cmes.2023.027280 - 23 April 2023

    Abstract There are five most widely used contact angle schemes in the pseudopotential lattice Boltzmann (LB) model for simulating the wetting phenomenon: The pseudopotential-based scheme (PB scheme), the improved virtual-density scheme (IVD scheme), the modified pseudopotential-based scheme with a ghost fluid layer constructed by using the fluid layer density above the wall (MPB-C scheme), the modified pseudopotential-based scheme with a ghost fluid layer constructed by using the weighted average density of surrounding fluid nodes (MPB-W scheme) and the geometric formulation scheme (GF scheme). But the numerical stability and accuracy of the schemes for wetting simulation remain… More >

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