{"id":12819,"date":"2020-11-07T16:07:23","date_gmt":"2020-11-07T15:07:23","guid":{"rendered":"https:\/\/navier-lab.fr\/transport-in-porous-media\/"},"modified":"2024-08-01T15:47:10","modified_gmt":"2024-08-01T13:47:10","slug":"transport-in-porous-media","status":"publish","type":"page","link":"https:\/\/navier-lab.fr\/en\/research\/rheophysics-porous-media\/transport-in-porous-media\/","title":{"rendered":"Transport in Porous Media"},"content":{"rendered":"<p><section class=\"kc-elm kc-css-883749 kc_row\"><div class=\"kc-row-container  kc-container\"><div class=\"kc-wrap-columns\"><div class=\"kc-elm kc-css-581580 kc_col-sm-12 kc_column kc_col-sm-12\"><div class=\"kc-col-container\"><div class=\"kc-elm kc-css-130544\" style=\"height: 40px; clear: both; width:100%;\"><\/div><div class=\"kc-elm kc-css-848696 kc_text_block\"><\/p>\n<p style=\"text-align: center;\">Researchers at RMP investigate transport phenomena (liquid, fluid, humidity, heat, acoustic waves) and how these phenomena are affected by the geometrical constraints present in porous materials, e.g. fibre stacks, solid foams with open \/ closed porosity and bio-based materials &#8230;<\/p>\n<p>\n<\/div><div class=\"kc-elm kc-css-568836\" style=\"height: 20px; clear: both; width:100%;\"><\/div><\/div><\/div><\/div><\/div><\/section><section class=\"kc-elm kc-css-889958 kc_row\"><div class=\"kc-row-container  kc-container\"><div class=\"kc-wrap-columns\"><div class=\"kc-elm kc-css-737531 kc_col-sm-3 kc_column kc_col-sm-3\"><div class=\"kc-col-container\"> <article class=\"sabbi-thumlinepost-card solitude-bg__x kc-elm kc-css-487824\"><figure class=\"sabbi-thumlinepost-card-figure\">\n                           <img loading=\"lazy\" decoding=\"async\" width=\"345\" height=\"256\" src=\"https:\/\/navier-lab.fr\/wp-content\/uploads\/2024\/07\/hygro-cellulose.png\" class=\"img-responsive img-thumpost\" alt=\"Swelling of a (compressed) cellulose fibre stack after drop deposition.\" srcset=\"https:\/\/navier-lab.fr\/wp-content\/uploads\/2024\/07\/hygro-cellulose.png 345w, https:\/\/navier-lab.fr\/wp-content\/uploads\/2024\/07\/hygro-cellulose-300x223.png 300w, https:\/\/navier-lab.fr\/wp-content\/uploads\/2024\/07\/hygro-cellulose-227x168.png 227w\" sizes=\"auto, (max-width: 345px) 100vw, 345px\" \/>\n                          <\/figure><div class=\"sabbi-thumlinepost-card-meta\">\n                        <h2 class=\"info-box-title ht-5\">Hygrothermal properties of bio-based materials<\/h2><a href=\"#humidity-transfer\" title=\"\" target=\"_self\" class=\"btn btn-unsolemn btn-action read-more\">Read More<\/a><\/div>\n                <\/article><\/div><\/div><div class=\"kc-elm kc-css-856926 kc_col-sm-3 kc_column kc_col-sm-3\"><div class=\"kc-col-container\"> <article class=\"sabbi-thumlinepost-card solitude-bg__x kc-elm kc-css-966981\"><figure class=\"sabbi-thumlinepost-card-figure\">\n                           <img loading=\"lazy\" decoding=\"async\" width=\"900\" height=\"525\" src=\"https:\/\/navier-lab.fr\/wp-content\/uploads\/2024\/07\/rmn-wood-samples.jpg\" class=\"img-responsive img-thumpost\" alt=\"NMR relaxometry applied to a drying wood sample\" srcset=\"https:\/\/navier-lab.fr\/wp-content\/uploads\/2024\/07\/rmn-wood-samples.jpg 900w, https:\/\/navier-lab.fr\/wp-content\/uploads\/2024\/07\/rmn-wood-samples-300x175.jpg 300w, https:\/\/navier-lab.fr\/wp-content\/uploads\/2024\/07\/rmn-wood-samples-768x448.jpg 768w\" sizes=\"auto, (max-width: 900px) 100vw, 900px\" \/>\n                          <\/figure><div class=\"sabbi-thumlinepost-card-meta\">\n                        <h2 class=\"info-box-title ht-5\">NMR relaxometry for porous materials<\/h2><a href=\"#NMR-relaxometry-porous-media\" title=\"\" target=\"_self\" class=\"btn btn-unsolemn btn-action read-more\">Read More<\/a><\/div>\n                <\/article><\/div><\/div><div class=\"kc-elm kc-css-831764 kc_col-sm-3 kc_column kc_col-sm-3\"><div class=\"kc-col-container\"> <article class=\"sabbi-thumlinepost-card solitude-bg__x kc-elm kc-css-132904\"><figure class=\"sabbi-thumlinepost-card-figure\">\n                           <img loading=\"lazy\" decoding=\"async\" width=\"476\" height=\"414\" src=\"https:\/\/navier-lab.fr\/wp-content\/uploads\/2024\/07\/acoustics-solid-foams.png\" class=\"img-responsive img-thumpost\" alt=\"Close-up of an open-cell solid foam\" srcset=\"https:\/\/navier-lab.fr\/wp-content\/uploads\/2024\/07\/acoustics-solid-foams.png 476w, https:\/\/navier-lab.fr\/wp-content\/uploads\/2024\/07\/acoustics-solid-foams-300x261.png 300w\" sizes=\"auto, (max-width: 476px) 100vw, 476px\" \/>\n                          <\/figure><div class=\"sabbi-thumlinepost-card-meta\">\n                        <h2 class=\"info-box-title ht-5\">Permeability and acoustic properties of solid foams<\/h2><a href=\"#foam-acoustics-permeability\" title=\"\" target=\"_self\" class=\"btn btn-unsolemn btn-action read-more\">Read More<\/a><\/div>\n                <\/article><\/div><\/div><div class=\"kc-elm kc-css-718241 kc_col-sm-3 kc_column kc_col-sm-3\"><div class=\"kc-col-container\"> <article class=\"sabbi-thumlinepost-card solitude-bg__x kc-elm kc-css-946407\"><figure class=\"sabbi-thumlinepost-card-figure\">\n                           <img loading=\"lazy\" decoding=\"async\" width=\"590\" height=\"594\" src=\"https:\/\/navier-lab.fr\/wp-content\/uploads\/2024\/07\/foam-coarsening-porous-medium.png\" class=\"img-responsive img-thumpost\" alt=\"Foam coarsening under flow through a granular (porous) medium.\" srcset=\"https:\/\/navier-lab.fr\/wp-content\/uploads\/2024\/07\/foam-coarsening-porous-medium.png 590w, https:\/\/navier-lab.fr\/wp-content\/uploads\/2024\/07\/foam-coarsening-porous-medium-298x300.png 298w, https:\/\/navier-lab.fr\/wp-content\/uploads\/2024\/07\/foam-coarsening-porous-medium-150x150.png 150w\" sizes=\"auto, (max-width: 590px) 100vw, 590px\" \/>\n                          <\/figure><div class=\"sabbi-thumlinepost-card-meta\">\n                        <h2 class=\"info-box-title ht-5\">Liquid foams in porous media<\/h2><a href=\"#liquid-foams-porous-media\" title=\"\" target=\"_self\" class=\"btn btn-unsolemn btn-action read-more\">Read More<\/a><\/div>\n                <\/article><\/div><\/div><\/div><\/div><\/section><section class=\"kc-elm kc-css-914200 kc_row\"><div class=\"kc-row-container  kc-container\"><div class=\"kc-wrap-columns\"><div class=\"kc-elm kc-css-946837 kc_col-sm-12 kc_column kc_col-sm-12\"><div class=\"kc-col-container\"><div class=\"kc-elm kc-css-830467\" style=\"height: 40px; clear: both; width:100%;\"><\/div>\n<div class=\"kc-elm kc-css-726861 divider_line\">\n\t<div class=\"divider_inner divider_line1\">\n\t\t\t<\/div>\n<\/div>\n<\/div><\/div><\/div><\/div><\/section><section id=\"humidity-transfer\" class=\"kc-elm kc-css-964249 kc_row\"><div class=\"kc-row-container  kc-container\"><div class=\"kc-wrap-columns\"><div class=\"kc-elm kc-css-63893 kc_col-sm-12 kc_column kc_col-sm-12\"><div class=\"kc-col-container\"><div class=\"kc-elm kc-css-55886 kc_text_block\"><\/p>\n<h3>Hygrothermal properties of bio-based materials<\/h3>\n<p>\n<\/div><div class=\"kc-elm kc-css-216327 kc_text_block\"><\/p>\n<h5>Philippe Coussot, R. Sidi-Boulenouar, B. Maillet, Kang Hu (Postdoc), Yuliang Zou (Postdoc), Nicolas Daunais (PhD), Van-Truong Nguyen (PhD), Luoyi Yan (PhD), Karen Mourda (PhD),<\/h5>\n<h5>Collaborations : S. Car\u00e9 (MSA), L. Brochard (ME)<\/h5>\n<p>\n<\/div><div class=\"kc-elm kc-css-799231\" style=\"height: 10px; clear: both; width:100%;\"><\/div><div class=\"kc-elm kc-css-46706 kc_text_block\"><\/p>\n<p>\nHow does water enter wood and induce swelling ? Why are we more comfortable wearing cotton, flax linen or hemp clothes ? Why does it take so long to dry wood or paper ? Why is it healthier to live in a house made of bio-based materials ? At the heart of these questions, we find the remarkable capacity of these materials to absorb liquid water or water vapour from the environment through hydrogen bonds, which create water nano-sized water inclusions between the cellulose microfibrils. This &#8220;bound\" water can make up to 30% of the dry mass of the material. It evaporates under a dry ambient atmosphere, hence regulating the ambient humidity. Bound water also induces the swelling or the retractation of their matrices proportionally to the amount of bound water. Bound water can also diffuse strikingly fast through the cellulose fibres. Bound water transport and its exchange with the liquid and vapour (standard) lead to complex and original transport properties in cellulose-based\u00a0 or plant-fibre-based materials.<\/p>\n<p>For instance, spontaneous water imbibition in wood is not governed by capillary effects but rather by diffusion of bound water ahead of the liquid front, which slows down the imbibition dynamics by several orders of magnitude. Conversely, wood drying is controlled by bound water diffusion which extracts the free water stored deep inside the sample, leading to a slow, two-step diffusion process. We observe and quantify these phenomena with specific scientific tools, among which NMR and MRI are particularly efficient as they access very low water content in solids and allows us to separate the signals from bound and free water. We have determined the transport and diffusion coefficient of bound water in wood samples, in a fibre network (bound water jumping from one fibre to another when they are in contact) and even along a single cellulose fibre.<\/p>\n<p>These studies will carry on in the framework of the PHYSBIOMAT ERC Advanced Grant, which aims to predict the hygrothermal behabiour of bio-based construction materials. We will characterise the elementary transport phenomena on model and real materials, along with a detailed modelling of the coupling between heat and humidity transfers. The first articles published on this topic underline how one must perform sorption dynamic measurements in a controlled fashio. They also show how it is possible to separately determine the diffusion coefficients of water vapour and bound water in a cellulose fibre structure; and to then deduce a global transport model from these coefficients, taking into account exchanges between the two phases.<\/p>\n<p>\n<\/div><div class=\"kc-elm kc-css-138999\" style=\"height: 20px; clear: both; width:100%;\"><\/div><div class=\"kc-elm kc-css-556367 kc_row kc_row_inner\"><div class=\"kc-elm kc-css-235900 kc_col-sm-6 kc_column_inner kc_col-sm-6\"><div class=\"kc_wrapper kc-col-inner-container\"><div class=\"kc-elm kc-css-879459 kc_shortcode kc_single_image\">\n\n        <img decoding=\"async\" src=\"https:\/\/navier-lab.fr\/wp-content\/uploads\/2024\/08\/maillet_2021_mri_cellulose_slurry.png\" class=\"\" alt=\"\" \/>    <\/div>\n<div class=\"kc-elm kc-css-801139 kc_text_block\"><\/p>\n<p style=\"text-align: center;\"><em>Dynamical drying of a cellulose slurry under an air flux. Water content is measured by MRI. From Ben Abdelouahab, Cellulose <strong><span data-test=\"journal-volume\">28<\/span>, <\/strong>28, 5321\u20135334, (2021)<br \/>\n<\/em><\/p>\n<p>\n<\/div><\/div><\/div><div class=\"kc-elm kc-css-708527 kc_col-sm-6 kc_column_inner kc_col-sm-6\"><div class=\"kc_wrapper kc-col-inner-container\"><div class=\"kc-elm kc-css-960054 kc_shortcode kc_single_image\">\n\n        <img decoding=\"async\" src=\"https:\/\/navier-lab.fr\/wp-content\/uploads\/2024\/08\/maillet_2021_mri_cellulose_slurry_profiles1d.jpg\" class=\"\" alt=\"\" \/>    <\/div>\n<div class=\"kc-elm kc-css-825035 kc_text_block\"><\/p>\n<p style=\"text-align: center;\"><em>One-dimensional profiles of a cellulose slurry drying under a (vertical) air flux. We notice that drying is a two-step process. From Ben Abdelouahab, Cellulose <strong><span data-test=\"journal-volume\">28<\/span>, <\/strong>28, 5321\u20135334, (2021)<br \/>\n<\/em><\/p>\n<p>\n<\/div><\/div><\/div><\/div>\n<div class=\"kc-elm kc-css-464939 divider_line\">\n\t<div class=\"divider_inner divider_line1\">\n\t\t\t<\/div>\n<\/div>\n<div class=\"kc-elm kc-css-906300 kc_text_block\"><\/p>\n<h4>References<\/h4>\n<ul>\n<li><a href=\"https:\/\/doi.org\/10.1007\/s10570-021-03916-5\">Understanding mechanisms of drying of a cellulose slurry by magnetic resonance imaging<\/a>, N. Ben Abdelouahab, A. Gossard, X. Ma, H. Dialla, B. Maillet, S. Rodts and P. Coussot, <em>Cellulose<\/em> <strong>28<\/strong>, 5321\u20135334 (2021)<\/li>\n<li><a href=\"https:\/\/doi.org\/10.1103\/PhysRevApplied.14.054051\">How Bound Water Regulates Wood Drying<\/a>, H. Penvern, M. Zhou, B. Maillet, D. Courtier-Murias, M. Scheel, J. Perrin, T. Weitkamp, S. Bardet, S. Car\u00e9, and P. Coussot, <em>Phys. Rev. Applied<\/em> <strong>14,<\/strong> 054051 (2020) | <span class=\"BxUVEf ILfuVd\" lang=\"en\"><span class=\"hgKElc\">\u2766<\/span><\/span> <strong>Editor&#8217;s Suggestion &amp; Featured in <a href=\"https:\/\/physics.aps.org\/articles\/v13\/182\"><em>Physics<\/em><\/a> | Featured on the <a href=\"https:\/\/www.insis.cnrs.fr\/fr\/cnrsinfo\/le-role-surprenant-de-leau-dans-le-sechage-du-bois\">CNRS website<\/a><\/strong><\/li>\n<li><a href=\"https:\/\/doi.org\/10.1021\/acs.langmuir.3c02729\">Critical Role of Boundary Conditions in Sorption Kinetics Measurements<\/a>, Y. Zou, B.Maillet, R. Sidi-Boulenouar, L. Brochard, and P. Coussot, <em>Langmuir<\/em> <strong>39<\/strong>, 51 (2023)<\/li>\n<li><a href=\"https:\/\/doi.org\/10.1093\/pnasnexus\/pgad450\"> Unveiling moisture transport mechanisms in cellulosic materials: Vapor vs. bound water<\/a><br \/>\nY. Zou, B. Maillet, L. Brochard and P. Coussot, <em>PNAS Nexus<\/em> <strong>3, <\/strong>450 (2023)<\/li>\n<\/ul>\n<p>\n<\/div><\/div><\/div><\/div><\/div><\/section><section id=\"NMR-relaxometry-porous-media\" class=\"kc-elm kc-css-745281 kc_row\"><div class=\"kc-row-container  kc-container\"><div class=\"kc-wrap-columns\"><div class=\"kc-elm kc-css-805591 kc_col-sm-12 kc_column kc_col-sm-12\"><div class=\"kc-col-container\">\n<div class=\"kc-elm kc-css-952727 divider_line\">\n\t<div class=\"divider_inner divider_line1\">\n\t\t\t<\/div>\n<\/div>\n<div class=\"kc-elm kc-css-276649 kc_text_block\"><\/p>\n<h3>NMR Relaxometry for Porous Materials<\/h3>\n<p>\n<\/div><div class=\"kc-elm kc-css-595989 kc_text_block\"><\/p>\n<h5>R. Sidi-Boulenouar, B. Maillet, P. Coussot<\/h5>\n<p>\n<\/div><div class=\"kc-elm kc-css-529368\" style=\"height: 10px; clear: both; width:100%;\"><\/div><div class=\"kc-elm kc-css-391996 kc_text_block\"><\/p>\n<p>\nPorous materials are largely present in our daily lives: soil, wood, bricks, concrete, sponges, clothes and fabrics &#8230; It is then crucial to identify how liquid &#8212; which may also transport particles and ions &#8212; enters the porous media or can be extracted from them. High-resolution X-ray microtomography, neutron imaging or Magnetic Resonance Imagnig (MRI) usually do not provide quantitative measurements at the micro- and nano-pore size.<\/p>\n<p>We have developed an original NMR-based technique which provides direct, dynamic, quantitative information on the liquid distribution inside porous materials; we can then track the liquid fraction variations with time associated to transport of fluids or phase changes. This dynamic NMR relaxometry relies on successive measurements of the probability density of the NMR relaxation times of the liquid inside the material, obtained from a Laplace transform the of NMR signal during its relaxation. We analyse the time evolution of this probability density, notably the peak location and width of the NMR signal, or the local area under the curves representing the fraction of fluid associated to every peak. We have then measured and described in detail the physical mechanisms (spatial heterogenity, adsorbed molecular layers, wetting and dewetting, bound\/free\u00a0 water transport, etc.) governing water imbibition and drying in nano-porous materials, cellulose, bi-porous materials or in wood samples.<\/p>\n<p>\n<\/div><div class=\"kc-elm kc-css-893764\" style=\"height: 20px; clear: both; width:100%;\"><\/div><div class=\"kc-elm kc-css-513828 kc_shortcode kc_single_image\">\n\n        <img decoding=\"async\" src=\"https:\/\/navier-lab.fr\/wp-content\/uploads\/2024\/08\/NMR_relaxometry.jpg\" class=\"\" alt=\"\" \/>    <\/div>\n<div class=\"kc-elm kc-css-6414 kc_text_block\"><\/p>\n<p style=\"text-align: center;\"><em>NMR Relaxometry : the characteristic relaxation time <\/em><em><em>T<sub>2<\/sub><\/em> of water decreases as water confinement increases (here, represented by a change from water in a large sphere to water in a smaller sphere, or in a ring). The overall distribution of the relaxation times <em>T<sub>2<\/sub><\/em> obtained by NMR then measures the amount of water present at each &#8216;degree&#8217; of confinement in a given material.<br \/><\/em><\/p>\n<p>\n<\/div><div class=\"kc-elm kc-css-969074\" style=\"height: 10px; clear: both; width:100%;\"><\/div>\n<div class=\"kc-elm kc-css-106464 divider_line\">\n\t<div class=\"divider_inner divider_line1\">\n\t\t\t<\/div>\n<\/div>\n<div class=\"kc-elm kc-css-650266 kc_text_block\"><\/p>\n<h4>References<\/h4>\n<ul>\n<li>\u00a0<a href=\"https:\/\/doi.org\/10.1021\/acs.langmuir.2c01918\">\u201cDynamic NMR relaxometry\u201d as a simple tool for measuring liquid transfers and characterizing surface and structure evolution in porous media<\/a>, B. Maillet, R. Sidi-Boulenouar, P. Coussot, Langmuir <strong>38,<\/strong> 15009-15025 (2022) | <strong>Invited Featured Article | Editor&#8217;s choice<\/strong><\/li>\n<li><a href=\"https:\/\/doi.org\/10.1126\/sciadv.abm7830\">Two-step diffusion in cellular hygroscopic (plant\u0002like) materials<\/a>, M. Cocusse, M. Rosales, B. Maillet, R. Sidi-Boulenouar, E. Julien, S. Car\u00e9, P. Coussot, , Science Advances, 19, eabm7830 (2022)<\/li>\n<\/ul>\n<p>\n<\/div><\/div><\/div><\/div><\/div><\/section><section id=\"foam-acoustics-permeability\" class=\"kc-elm kc-css-156544 kc_row\"><div class=\"kc-row-container  kc-container\"><div class=\"kc-wrap-columns\"><div class=\"kc-elm kc-css-529891 kc_col-sm-12 kc_column kc_col-sm-12\"><div class=\"kc-col-container\">\n<div class=\"kc-elm kc-css-467050 divider_line\">\n\t<div class=\"divider_inner divider_line1\">\n\t\t\t<\/div>\n<\/div>\n<div class=\"kc-elm kc-css-227593 kc_text_block\"><\/p>\n<h3>Acoustic Permeability of Solid Foams<\/h3>\n<p>\n<\/div><div class=\"kc-elm kc-css-242849 kc_text_block\"><\/p>\n<h5>O. Pitois, V. Langlois, Y. Khidas<\/h5>\n<p>\n<\/div><div class=\"kc-elm kc-css-490327\" style=\"height: 10px; clear: both; width:100%;\"><\/div><div class=\"kc-elm kc-css-938141 kc_text_block\"><\/p>\n<p>\nWe study how foam morphology &#8212; their pore size distribution, the fraction of open membranes and the size distribution of the membrane openings &#8212; affects their acoustic properties and their performance in applications in the construction industry (acoustic isolation, reverberation control). Our aim is to bring a comprehensive view of the relation between the foam microstructure and its acoustical properties. The fraction of open membranes and the opening size distribution is measured by X-ray microtomography. Acoustical measurements are conducted in impedance tubes (Kundt tubes) with three microphones. We conduct indirect numerical simulations to capture the acoustic properties of these media. These simulations are based on semi-phenomenological models decoupling the various physical phenomena &#8212; viscous dissipation, heat conduction, mechanical vibrations &#8212; during the wave propagation in porous media. This <em>Johnson-Champoux-Allard-Lafarge<\/em> (JCAL) model considers a rigid solid matrix and links the acoustical properties of the overall medium with its viscous and thermal properties, i.e. viscous permeability, tortuosity, characteristic viscous length, thermal permeability and thermal characteristic length.<\/p>\n<p>Our work consists in:<\/p>\n<ol>\n<li>Compute all these parameters through numerical approaches : finite elements, or a pore-network model for the viscous permeability and the tortuosity applied to different microstructures<\/li>\n<li>Design physical models describing these viscous and thermal properties.<\/li>\n<\/ol>\n<p>\n<\/div><div class=\"kc-elm kc-css-915031\" style=\"height: 20px; clear: both; width:100%;\"><\/div><div class=\"kc-elm kc-css-100690 kc_shortcode kc_single_image\">\n\n        <img decoding=\"async\" src=\"https:\/\/navier-lab.fr\/wp-content\/uploads\/2020\/12\/acoustics-2-3-828x1024.png\" class=\"\" alt=\"\" \/>    <\/div>\n<div class=\"kc-elm kc-css-869508 kc_text_block\"><\/p>\n<p style=\"text-align: center;\"><em>Normalised Darcy permeability k<sub>0<\/sub> and tortuosity \u03b1<sub>\u221e<\/sub> in solid foams with increasing solid volume fraction \u03d5<sub>s<\/sub>.<br \/>\n<\/em><\/p>\n<p>\n<\/div>\n<div class=\"kc-elm kc-css-784058 divider_line\">\n\t<div class=\"divider_inner divider_line1\">\n\t\t\t<\/div>\n<\/div>\n<div class=\"kc-elm kc-css-208194 kc_text_block\"><\/p>\n<h4>References<\/h4>\n<ul>\n<li><a href=\"https:\/\/doi.org\/10.1016\/j.ijsolstr.2022.111684\">Polydisperse solid foams: Multiscale modeling and simulations of elasto-acoustic properties including thin membrane effects<\/a>, C.T. Nguyen, V. Langlois, J. Guilleminot, F. Detrez, A. Duval, M. Bornert, P. Aimedieu and C. Perrot, Int. J. Solids Struct. (2022).<\/li>\n<li><a href=\"https:\/\/doi.org\/10.1121\/10.0001995\">Acoustics of monodisperse open-cell foam: An experimental and numerical parametric study<\/a>, V. Langlois, A. Kaddami, O. Pitois, C. Perrot, JASA (2020).<\/li>\n<li><a href=\"https:\/\/doi.org\/10.1016\/j.matdes.2018.11.023\">Tuning membrane content of sound absorbing cellular foams: Fabrication, experimental evidence and multiscale numerical simulations<\/a>, V.H. Trinh, V. Langlois, J. Guilleminot, C. Perrot, Y. Khidas, and O. Pitois, Mater. Des. 162, 345 (2019).<\/li>\n<li><a href=\"https:\/\/doi.org\/10.1103\/PhysRevE.100.013115\">Electrical conductivity and tortuosity of solid foam: Effect of pore connections<\/a>, V. Langlois, V.H. Trinh, and C. Perrot, Phys. Rev. E 100, 013115 (2019).<\/li>\n<\/ul>\n<p>\n<\/div><\/div><\/div><\/div><\/div><\/section><section id=\"liquid-foams-porous-media\" class=\"kc-elm kc-css-566139 kc_row\"><div class=\"kc-row-container  kc-container\"><div class=\"kc-wrap-columns\"><div class=\"kc-elm kc-css-669078 kc_col-sm-12 kc_column kc_col-sm-12\"><div class=\"kc-col-container\">\n<div class=\"kc-elm kc-css-876564 divider_line\">\n\t<div class=\"divider_inner divider_line1\">\n\t\t\t<\/div>\n<\/div>\n<div class=\"kc-elm kc-css-874263 kc_text_block\"><\/p>\n<h3 style=\"text-align: left;\">Liquid Foams in Porous Media<\/h3>\n<p>\n<\/div><div class=\"kc-elm kc-css-375994 kc_text_block\"><\/p>\n<h5>O. Pitois, V. Langlois, Y. Khidas<\/h5>\n<p>\n<\/div><div class=\"kc-elm kc-css-854395\" style=\"height: 10px; clear: both; width:100%;\"><\/div><div class=\"kc-elm kc-css-444208 kc_text_block\"><\/p>\n<p>\nFoam injection in porous media has been largely studied by the Oil &amp; Gas industry, and more recently to develop environmental remediation processes to remove contaminants from soils. The complex rheology of liquid foams allows it to invade the porous medium in a homogeneous fashion, more so than simple liquids. This is particularly the case if the permeability of the medium is high. For environmental remediation applications, we need to know how fast the foam liquid flows in the ensemble formed by the porous medium filled with liquid foam.<\/p>\n<p>We have investigated this process using a model experiment where the pore size, the bubble size, the liquid volume fraction and the interface behaviour (frozen or mobile depending on the choice of surfactant) are controlled. The liquid permeability of the samples, normalised by the square of the bubble size, decreases over several orders of magnitude when <em>r<\/em> &#8212; the ratio between the bubble and the grain size &#8212; increases. The relative permeability, i.e. that of the foam-filled porous media divided by the permeability of the same porous material filled with liquid, shows an optimal value as a function of <em>r<\/em> for frozen interfaces. In contrast, it increases monotonically with <em>r<\/em> for mobile interfaces.<\/p>\n<p>The permeability of porous materials filled with foams of mobile and frozen interface then show two regimes as a function of <em>r. <\/em>For <em>r <\/em>\u2272 0,25, the ratio is equal to that measured for un-confined foams, whereas for higher values of <em>r<\/em>, the permeability ratio increases by one order of magnitude. This result seems to be related to the microstructural change that we notice when <em>r<\/em> reaches 0.5. In that case, a liquid network different from the unconfined foam activates: it is composed of surface canals and liquid bridges, the former linking the latter even for very low liquid volume fractions. We have modelled these changes, with the main result being that the foam inside the pores is <em>drier<\/em> compared to a non-confined foam as the liquid is being drawn by the surface canals and the liquid bridges. Having drier foams explains the sharp decrease of the liquid permeability of the foam. Besides the liquid drainage, we expect all foam properties to be impacted by the confinement.<\/p>\n<p>\n<\/div><div class=\"kc-elm kc-css-972692\" style=\"height: 20px; clear: both; width:100%;\"><\/div><div class=\"kc-elm kc-css-497889 kc_shortcode kc_single_image\">\n\n        <img decoding=\"async\" src=\"https:\/\/navier-lab.fr\/wp-content\/uploads\/2024\/07\/foam-coarsening-porous-medium.png\" class=\"\" alt=\"\" \/>    <\/div>\n\n<div class=\"kc-elm kc-css-683910 divider_line\">\n\t<div class=\"divider_inner divider_line1\">\n\t\t\t<\/div>\n<\/div>\n<div class=\"kc-elm kc-css-343019 kc_text_block\"><\/p>\n<h4>References<\/h4>\n<ul>\n<li><a href=\"https:\/\/doi.org\/10.1103\/PhysRevFluids.8.024302\"> Liquid relative permeability through foam-filled porous media: Experiments,<\/a> M. Ceccaldi, V. Langlois, M. Gu\u00e9guen, D. Grande, S. Vincent-\u0002Bonnieu and O. Pitois , <em>Phys. Rev. Fluids<\/em> <strong>8<\/strong>, 024302 (2023)<\/li>\n<li><a href=\"https:\/\/doi.org\/10.1016\/j.jcis.2023.01.127\">Daisy-shaped liquid bridges in foam-filled granular packings<\/a>, Pitois O., Salam\u00e9 A., Khidas Y., Ceccaldi M., Langlois V. and Vincent-Bonnieu S., <em>Journal of Colloid and Interface Science<\/em> <strong>638<\/strong>, 552-560 (2023)<\/li>\n<\/ul>\n<p>\n<\/div><\/div><\/div><\/div><\/div><\/section><\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":29,"featured_media":0,"parent":12398,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-12819","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/navier-lab.fr\/en\/wp-json\/wp\/v2\/pages\/12819","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/navier-lab.fr\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/navier-lab.fr\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/navier-lab.fr\/en\/wp-json\/wp\/v2\/users\/29"}],"replies":[{"embeddable":true,"href":"https:\/\/navier-lab.fr\/en\/wp-json\/wp\/v2\/comments?post=12819"}],"version-history":[{"count":84,"href":"https:\/\/navier-lab.fr\/en\/wp-json\/wp\/v2\/pages\/12819\/revisions"}],"predecessor-version":[{"id":17063,"href":"https:\/\/navier-lab.fr\/en\/wp-json\/wp\/v2\/pages\/12819\/revisions\/17063"}],"up":[{"embeddable":true,"href":"https:\/\/navier-lab.fr\/en\/wp-json\/wp\/v2\/pages\/12398"}],"wp:attachment":[{"href":"https:\/\/navier-lab.fr\/en\/wp-json\/wp\/v2\/media?parent=12819"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}