Zaim, Mohammed ; Université de Liège - ULiège > Urban and Environmental Engineering ; BP International Ltd. Nantes Université, École Centrale Nantes, CNRS, Institut de Recherche en Génie Civil et Mécanique (GeM) Nantes France
Ommi, Siddhartha Harsha; BP International Ltd. Nantes Université, École Centrale Nantes, CNRS, Institut de Recherche en Génie Civil et Mécanique (GeM) Nantes France
Collin, Frédéric ; Université de Liège - ULiège > Département ArGEnCo
Kotronis, Panagiotis ; BP International Ltd. Nantes Université, École Centrale Nantes, CNRS, Institut de Recherche en Génie Civil et Mécanique (GeM) Nantes France
Sciarra, Giulio ; BP International Ltd. Nantes Université, École Centrale Nantes, CNRS, Institut de Recherche en Génie Civil et Mécanique (GeM) Nantes France
Language :
English
Title :
Fingering and strain localization in porous media during imbibition processes
Publication date :
04 May 2023
Journal title :
International Journal for Numerical Methods in Engineering
Williams E, Simmons J. Water in the Energy Industry. An Introduction. BP International Ltd.; 2013.
Leharne S. Risk assessment and remediation of NAPL contaminated soil and groundwater. Chem Texts. 2022;8(1):1-34.
Espinoza DN, Santamarina JC. CO2 breakthrough—Caprock sealing efficiency and integrity for carbon geological storage. Int J Greenh Gas Control. 2017;66:218-229. doi:10.1016/j.ijggc.2017.09.019
Lenormand R. Liquids in porous media. J Phys: Condens Matter. 1990;2:SA79.
Guo F, Aryana SA. An experimental investigation of flow regimes in imbibition and drainage using a microfluidic platform. Energies. 2019;12(7):1390.
Hu R, Wan J, Yang Z, Chen YF, Tokunaga T. Wettability and flow rate impacts on immiscible displacement: a theoretical model. Geophys Res Lett. 2018;45(7):3077-3086.
Zhao B, MacMinn CW, Juanes R. Wettability control on multiphase flow in patterned microfluidics. Proc Natl Acad Sci. 2016;113(37):10251-10256.
DiCarlo DA. Experimental measurements of saturation overshoot on infiltration. Water Resourc Res. 2004;40(4):W04215. doi:10.1029/2003WR002670
Saffman PG, Taylor GI. The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid. Proc R Soc London. Ser A. Math Phys Sci. 1958;245(1242):312-329.
Chuoke R, Van Meurs P, van der Poel C. The instability of slow, immiscible, viscous liquid-liquid displacements in permeable media. Trans AIME. 1959;216(1):188-194.
Wang Z, Feyen J, Elrick DE. Prediction of fingering in porous media. Water Resourc Res. 1998;34(9):2183-2190.
Egorov AG, Dautov RZ, Nieber JL, Sheshukov AY. Stability analysis of gravity-driven infiltrating flow. Water Resourc Res. 2003;39(9):1266. doi:10.1029/2002WR001886
Cueto-Felgueroso L, Juanes R. Stability analysis of a phase-field model of gravity-driven unsaturated flow through porous media. Phys Rev E. 2009;79(3):036301.
Ommi SH, Sciarra G, Kotronis P. A phase field model for partially saturated geomaterials describing fluid–fluid displacements. Part I: the model and one-dimensional analysis. Adv Water Resourc. 2022;164:104170. doi:10.1016/j.advwatres.2022.104170
Ommi SH, Sciarra G, Kotronis P. A phase field model for partially saturated geomaterials describing fluid–fluid displacements, Part II: stability analysis and two-dimensional simulations. Adv Water Resourc. 2022;164:104201. doi:10.1016/j.advwatres.2022.104201
Li P, Li T, Vanapalli SK. Influence of environmental factors on the wetting front depth: a case study in the Loess Plateau. Eng Geol. 2016;214:1-10.
Liu Q, Santamarina JC. Fluid-driven instabilities in granular media: from viscous fingering and dissolution wormholes to desiccation cracks and ice lenses. Front Mech Eng. 2022;8:861554. doi:10.3389/fmech.2022.861554
Bruchon JF, Pereira JM, Vandamme M, Lenoir N, Delage P, Bornert M. Full 3D investigation and characterisation of capillary collapse of a loose unsaturated sand using X-ray CT. Granul Matter. 2013;15(6):783-800.
Gens A, Alonso E. A framework for the behaviour of unsaturated expansive clays. Can Geotech J. 1992;29(6):1013-1032.
Sciarra G. Phase field modeling of partially saturated deformable porous media. J Mech Phys Solids. 2016;94:230-256.
Tamagnini R. An extended Cam-clay model for unsaturated soils with hydraulic hysteresis. Géotechnique. 2004;54(3):223-228.
Rotisciani G, Sciarra G, Casini F, Desideri A. Hydro-mechanical response of collapsible soils under different infiltration events. Int J Numer Anal Methods Geomech. 2015;39(11):1212-1234.
Bonnet M, Frangi A, Rey C. The Finite Element Method in Solid Mechanics. McGraw-Hill Education; 2014.
Coussy O. Poromechanics. John Wiley & Sons; 2004.
Cahn JW, Hilliard JE. Free energy of a nonuniform system. I. Interfacial free energy. J Chem Phys. 1958;28(2):258-267.
Leverett M. Capillary behavior in porous solids. Trans AIME. 1941;142(1):152-169.
Kim J. 76030: Phase-field models for multi-component fluid flows. Commun Comput Phys. 2012;12:613-661.
Germain P. La méthode des puissances virtuelles en mécanique des milieux continus, premiere partie: théorie du second gradient. J Mécanique. 1973;12(2):235-274.
Coleman BD, Noll W. The thermodynamics of elastic materials with heat conduction and viscosity. Arch Ration Mech Anal. 1963;13(1):167-178.
Hu R, Chen YF, Liu HH, Zhou CB. A coupled two-phase fluid flow and elastoplastic deformation model for unsaturated soils: theory, implementation, and application. Int J Numer Anal Methods Geomech. 2016;40(7):1023-1058. doi:10.1002/nag.2473
Vaunat J, Casini F. A procedure for the direct determination of Bishop's parameter from changes in pore size distribution. Géotechnique. 2017;67(7):631-636.
Genuchten vMT. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci Soc Am J. 1980;44(5):892-898.
Coussy O, Pereira JM, Vaunat J. Revisiting the thermodynamics of hardening plasticity for unsaturated soils. Comput Geotech. 2010;37(1):207-215.
Nova R. Soil Mechanics. John Wiley & Sons; 2012.
Nova R, Castellanza R, Tamagnini C. A constitutive model for bonded geomaterials subject to mechanical and/or chemical degradation. Int J Numer Anal Methods Geomech. 2003;27(9):705-732. doi:10.1002/nag.294
Bear J. Dynamics of Fluids in Porous Media. Courier Corporation; 1988.
Gurtin ME. Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance. Phys D: Nonlinear Phenom. 1996;92(3-4):178-192.
DiCarlo DA, Juanes R, LaForce T, Witelski TP. Nonmonotonic traveling wave solutions of infiltration into porous media. Water Resourc Res. 2008;44(2):W02406.
Cueto-Felgueroso L, Juanes R. A phase field model of unsaturated flow. Water Resourc Res. 2009;45(10):W10409.
Cueto-Felgueroso L, Juanes R. Reply to comment by David A. DiCarlo on “A phase field model of unsaturated flow”. Water Resourc Res. 2010;46(12):W12802.
Cueto-Felgueroso L, Suarez-Navarro MJ, Fu X, Juanes R. Numerical simulation of unstable preferential flow during water infiltration into heterogeneous dry soil. Water. 2020;12(3):909.
Richards LA. Capillary conduction of liquids through porous mediums. Phys. 1931;1(5):318-333.
Modica L. Gradient Theory of Phase Transitions with Boundary Contact Energy. Vol 4. Elsevier; 1987:487-512.
Seppecher P. Etude des conditions aux limites en théorie du second gradient: cas de la capillarité. C R Acad Sci. Sér 2, Méc Phys Chim Sci Univ Sci Terre. 1989;309(6):497-502.
Seppecher P. Moving contact lines in the Cahn-Hilliard theory. Int J Eng Sci. 1996;34(9):977-992.
Simo JC, Hughes TJ. Computational Inelasticity. Vol 7. Springer Science & Business Media; 2006.
Borja RI. Plasticity. Springer; 2013.
Egorov AG, Dautov RZ, Nieber JL, Sheshukov AY. Stability analysis of traveling wave solution for gravity-driven flow. In: Hassanizadeh SM, Schotting RJ, Gray WG, Pinder GF, eds. Computational Methods in Water Resources. 47 of Developments in Water Science. Elsevier; 2002:121-128.
Nieber JL, Dautov RZ, Egorov AG, Sheshukov AY. Dynamic capillary pressure mechanism for instability in gravity-driven flows; review and extension to very dry conditions. Transp Porous Media. 2005;58(1):147-172. doi:10.1007/s11242-004-5473-5
Stewart GW. A Krylov–Schur algorithm for large eigenproblems. SIAM J Matrix Anal Appl. 2002;23(3):601-614. doi:10.1137/S0895479800371529
Bonnet M, Frangi A. Analyse des Solides Déformables par la Méthode des éléments Finis. Les Editions de l'Ecole Politechnique; 2006.
Geuzaine C, Remacle JF. Gmsh: a 3-D finite element mesh generator with built-in pre- and post-processing facilities. Int J Numer Methods Eng. 2009;79(11):1309-1331. doi:10.1002/nme.2579