Modelling of two-phase flow in capillary porous medium by a microscopic discrete approach

References

• Bazant, Z. P., & Oh, B. H. (1986). Efficient numerical integration on the surface of a sphere. Z.A.M.M., 66, 37–49.
   Google Scholar
• Beck, K. (2006). Etudes des propriétés hydriques et des mécanismes d’altération de pierres calcaires à forte porosité [Study of hydric properties and alteration mechanisms of limestone rocks with high porosity] (PhD in Sciences and Materials). Université d’Orléans, France.
   Google Scholar
• Belayachi , N. , Do , D. P. and Hoxha , D. 2012 . Thermo-hydro-mechanical behavior of a tuffeau stone masonry . European Journal of Civil Engineering , 16 : 557 – 570 .
   Web of Science ®Google Scholar
• Berryman , J. G. and Blair , S. C. 1987 . Kozeny-Carman relations and image processing methods for estimating Darcy’s constant . Journal of Applied Physics , 62 : 2221 – 2228 .
   Web of Science ®Google Scholar
• Coussy , O. 1995 . Mechanics of Porous Continua , Chichester : Wiley .
   Google Scholar
• Dong, M., Francis, A. L., Dullien, L. D., & Daiming, L. (2005). Immiscible displacement in the interacting capillary bundle model part I. Development of interacting capillary bundle model. Transport in porous media, 59, 1–28. Springer 2005, 18.
   Google Scholar
• Dormieux , L. , Kondo , D. and Ulm , F. 2006 . Microporomechanics , 1st ed. , Chichester : Wiley .
   Google Scholar
• Giraud , A. , Hoxha , D. , Huynh , Q. V. , Do , D. P. and Magnenet , V. 2008 . Effective porothermoelastic properties of transversely isotropic rock-like composites . International Journal of Engineering Science , 46 : 527 – 550 .
   Google Scholar
• Hoxha , D. , Giraud , A. , Homand , F. and Auvray , C. 2007 . Saturated and unsaturated behaviour modelling of Meuse/Haute Marne argillite . International Journal of Plasticity , 23 : 733 – 766 .
   Web of Science ®Google Scholar
• Karasaki, K. (1987). A new advection – dispersion code for calculating transport in fracture networks (Rapport of Lawrence Berkely Laboratory no. 22090). Earth Science division 1986 annual report.
   Google Scholar
• Lanru , J. and Stephansson , O. 2007 . Fundamentals of discrete element methods for rock engineering: Theory and applications , Amsterdam : Elsevier .
   Google Scholar
• Panfilova, I., & Panfilov, M. (2005). Phenomenological meniscus model for two-phase flow through porous media. Transport in Porous Media. Special Issue on Multiphase Flow and Transport in Porous Media, 58, 87–119.
   Google Scholar
• Rozenbaum , O. 2011 . 3-D characterization of weathered building limestones by high resolution synchrotron X-ray microtomography . Science of the Total Environment , 409 : 1959 – 1966 .
   Google Scholar
• Washburn , W. 1921 . The dynamics of capillary flow . The Physical Review , 28 : 273 – 283 .
   Google Scholar
• Wei , C. and Muraleetharan , K. K. 2002 . A continuum theory of porous media saturated by multiple immiscible fluids: I. Linear poroelasticity . International Journal of Engineering Science , 40 : 1807 – 1833 .
   Web of Science ®Google Scholar
• Zhu, Q. (2006). Applications des approches d’homogénéisation à la modélisation tridimensionnelle de l’endommagement des matériaux quasi fragiles: Formulations, validations et implémentations numériques [Applications of homogenization approaches to the three-dimensional modelling of the damage of quasi fragile material: Formulations, validation and digital implimentations] (PhD thesis). Université des Sciences et Technologies de Lille, France.
   Google Scholar