{"id":251,"date":"2021-01-05T12:14:15","date_gmt":"2021-01-05T11:14:15","guid":{"rendered":"http:\/\/hebergement.universite-paris-saclay.fr\/upgeo\/?page_id=251"},"modified":"2021-01-05T12:14:16","modified_gmt":"2021-01-05T11:14:16","slug":"tache-2-modele-mathematique-thermo-hydro-mecanique-thm-par-mise-a-lechelle","status":"publish","type":"page","link":"https:\/\/hebergement.universite-paris-saclay.fr\/upgeo\/?page_id=251","title":{"rendered":"T\u00e2che 2. Mod\u00e8le math\u00e9matique Thermo-Hydro-M\u00e9canique (THM) par mise \u00e0 l&rsquo;\u00e9chelle"},"content":{"rendered":"\n<p>Cette t\u00e2che aura deux objectifs principaux\u00a0: (1) d\u00e9river, en utilisant l&rsquo;homog\u00e9n\u00e9isation, les \u00e9quations THM et (2) d\u00e9velopper, sur la base des donn\u00e9es g\u00e9ologiques des calcaires et gr\u00e8s, un solveur num\u00e9rique fiable pour le calcul des coefficients effectifs (perm\u00e9abilit\u00e9, coefficient de Biot, tenseur de Gassmann, dispersivit\u00e9 thermique et capacit\u00e9 calorifique effective). Nous d\u00e9velopperons un mod\u00e8le bas\u00e9 sur les \u00e9quations de l&rsquo;\u00e9chelle des pores, thermodynamiquement compatibles avec la structure des fluides, correspondant \u00e0 des param\u00e8tres r\u00e9alistes de la m\u00e9canique des roches [1]. Ensuite, nous homog\u00e9n\u00e9iserons les \u00e9quations sans dimension par rapport \u00e0 la g\u00e9om\u00e9trie microscopique al\u00e9atoire [2]. A l&rsquo;\u00e9chelle sup\u00e9rieure, une structure poreuse al\u00e9atoire sera d\u00e9riv\u00e9e afin d\u2019\u00e9tudier sa discr\u00e9tisation dans le temps et l&rsquo;espace et de r\u00e9aliser un solveur num\u00e9rique [2]. L\u2019objectif sera de d\u00e9velopper un solveur flexible qui fournira, pour une structure g\u00e9om\u00e9trique statistiquement homog\u00e8ne, des calculs de perm\u00e9abilit\u00e9, du coefficient de Biot, du tenseur de Gassman et de la diffusivit\u00e9 thermique. Enfin, nous le mettrons en \u0153uvre en tant que <em>plug-in<\/em> pour les logiciels Eclipse, PumaFlow et DuMu<sup>X<\/sup> \/Dune.<\/p>\n\n\n\n<p>[1]\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 C. J. van Duijn, A. Mikeli\u0107, M. F. Wheeler, and T. Wick, \u201cThermoporoelasticity via homogenization: Modeling and formal two-scale expansions,\u201d <em>Int. J. Eng. Sci.<\/em>, vol. 138, pp. 1\u201325, May 2019, doi: 10.1016\/j.ijengsci.2019.02.005.<\/p>\n\n\n\n<p>[2]\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 C. J. van Duijn, A. Mikeli\u0107, and T. Wick, \u201cMathematical theory and simulations of thermoporoelasticity,\u201d <em>Comput. Methods Appl. Mech. Eng.<\/em>, vol. 366, p. 113048, Jul. 2020, doi: 10.1016\/j.cma.2020.113048.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Cette t\u00e2che aura deux objectifs principaux\u00a0: (1) d\u00e9river, en utilisant l&rsquo;homog\u00e9n\u00e9isation, les \u00e9quations THM et (2) d\u00e9velopper, sur la base des donn\u00e9es g\u00e9ologiques des calcaires et gr\u00e8s, un solveur num\u00e9rique fiable pour le calcul des coefficients effectifs (perm\u00e9abilit\u00e9, coefficient de Biot, tenseur de Gassmann, dispersivit\u00e9 thermique et capacit\u00e9 calorifique effective). Nous d\u00e9velopperons un mod\u00e8le bas\u00e9 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":244,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-251","page","type-page","status-publish","hentry","post-preview"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.9 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>T\u00e2che 2. Mod\u00e8le math\u00e9matique Thermo-Hydro-M\u00e9canique (THM) par mise \u00e0 l&#039;\u00e9chelle - UPGEO<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/hebergement.universite-paris-saclay.fr\/upgeo\/?page_id=251\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"T\u00e2che 2. Mod\u00e8le math\u00e9matique Thermo-Hydro-M\u00e9canique (THM) par mise \u00e0 l&#039;\u00e9chelle - UPGEO\" \/>\n<meta property=\"og:description\" content=\"Cette t\u00e2che aura deux objectifs principaux\u00a0: (1) d\u00e9river, en utilisant l&rsquo;homog\u00e9n\u00e9isation, les \u00e9quations THM et (2) d\u00e9velopper, sur la base des donn\u00e9es g\u00e9ologiques des calcaires et gr\u00e8s, un solveur num\u00e9rique fiable pour le calcul des coefficients effectifs (perm\u00e9abilit\u00e9, coefficient de Biot, tenseur de Gassmann, dispersivit\u00e9 thermique et capacit\u00e9 calorifique effective). 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Mod\u00e8le math\u00e9matique Thermo-Hydro-M\u00e9canique (THM) par mise \u00e0 l'\u00e9chelle - UPGEO","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/hebergement.universite-paris-saclay.fr\/upgeo\/?page_id=251","og_locale":"fr_FR","og_type":"article","og_title":"T\u00e2che 2. Mod\u00e8le math\u00e9matique Thermo-Hydro-M\u00e9canique (THM) par mise \u00e0 l'\u00e9chelle - UPGEO","og_description":"Cette t\u00e2che aura deux objectifs principaux\u00a0: (1) d\u00e9river, en utilisant l&rsquo;homog\u00e9n\u00e9isation, les \u00e9quations THM et (2) d\u00e9velopper, sur la base des donn\u00e9es g\u00e9ologiques des calcaires et gr\u00e8s, un solveur num\u00e9rique fiable pour le calcul des coefficients effectifs (perm\u00e9abilit\u00e9, coefficient de Biot, tenseur de Gassmann, dispersivit\u00e9 thermique et capacit\u00e9 calorifique effective). 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