{"record":{"leader":"cx  r22     2  45","datafield":[{"ind2":" ","ind1":" ","subfield":{"code":"a","content":"20180123afrey50      ba0"},"tag":100},{"ind2":" ","ind1":" ","subfield":[{"code":"a","content":"fre"},{"code":2,"content":"639-2"}],"tag":101},{"ind2":" ","ind1":" ","subfield":{"code":"a","content":2016},"tag":103},{"ind2":" ","ind1":" ","subfield":[{"code":"a","content":"k"},{"code":"f","content":"fre"}],"tag":104},{"ind2":" ","ind1":" ","subfield":[{"code":"a","content":0},{"code":"b","content":"#"},{"code":"c","content":"#"}],"tag":106},{"ind2":" ","ind1":" ","subfield":{"code":"a","content":"AFNOR"},"tag":152},{"ind2":" ","ind1":" ","subfield":{"code":"a","content":"Oeuvre Textuelle"},"tag":189},{"ind2":" ","ind1":" ","subfield":[{"code":7,"content":"ba0yba0"},{"code":"t","content":"Etudes mathématiques et numériques pour la modélisation des systèmes hydrothermaux. Applications à la géothermie haute énergie"}],"tag":241},{"ind2":" ","ind1":" ","subfield":[{"code":7,"content":"ba0yba0y"},{"code":"a","content":"L\u2019objectif de notre étude est de modéliser un réservoir géothermique. Si nous supposons que le réservoir géothermique n\u2019est composé que d\u2019eau pure le transfert de matière et d\u2019énergie est classiquement décrit par deux équations de conservation : la conservation de la matière et la conservation de l\u2019énergie. À ces deux équations vient s\u2019ajouter la vitesse du fluide classiquement donnée par la loi de Darcy tandis que les propriétés thermodynamiques, obtenues grâce à des équations théoriques ou empiriques (les équations d\u2019état), ferment le modèle mathématique. Dès lors, ce modèle fermé, il existe différents schémas de résolution. Le premier est de résoudre en pression et température puis de procéder à un changement de variables lors du passage de monophasique à diphasique ou de diphasique à monophasique. TOUGH2 utilise le couple pression-saturation dans la zone diphasique.La seconde approche est de résoudre en pression et enthalpie afin d\u2019accroître la stabilité lors de la transition entre l\u2019état monophasique et l\u2019état diphasique (voir Hydrotherm). Nous avons adopté la seconde option, résoudre en pression et enthalpie. De plus la résolution spatiale est faite avec les volumes finis.La modélisation d\u2019un réservoir géothermique fait intervenir des équations fortement dépendantes l\u2019une de l\u2019autre. Cependant nous avons fait le choix de découpler la résolution afin de se libérer de la complexité de la résolution du système couplé. En effet, cette méthode possède l\u2019avantage d\u2019être moins consommatrice de mémoire puisque nous travaillons toujours avec le même nombre de données, mais dans une matrice deux fois moins importante. Nous montrerons que cette méthode demeure suffisamment précise pour une utilisation aussi bien dans le domaine industriel que dans celui de la recherche.Nous offrons à l\u2019utilisateur une grande liberté grâce à l\u2019implémentation de plusieurs méthodes : Euler implicite, explicite, Runge-Kutta ou BDF2 pour les solveurs temporels ou GMRES et BICGSTAB pour les solveurs linéaires. Nous pouvons gérer des conditions aux limites très variées telles que des flux nuls (décrivant une frontière qui n\u2019échange pas de matière avec l\u2019extérieur) ou une condition mixte (un Dirichlet sur la pression et un Dirichlet ou condition « sortie libre » sur la température\u2026 Cette dernière situation décrit une zone de recharge ou de décharge. Nous avons développé un outil multilangage : Python,Fortran et C++ (une implémentation de l\u2019IAPWS provenant du projet freesteam incluant la zone supercritique). Tous ces langages sont orientés objet. L\u2019IAPWS est l\u2019outil permettant de calculer les propriétés physiques inconnues et par conséquent il ferme le système.Enfin nous avons appliqué le modèle sur le bassin parisien, France, sur plusieurs systèmes 1D et un autre système 2D réalisés par Coumou avec la plateforme CSMP++. Le bassin parisien est un réservoir exploité pour produire de la chaleur par le biais du pompage d\u2019une eau à 70 _C et réinjecté à 40 _C. Les simulations 1D permettent de visualiser le déplacement d\u2019un front de chaleur en haute enthalpie. La simulation 2D montre la convection naturelle de l\u2019eau dans une faille. Chaque simulation a été comparée aux résultats obtenus avec un autre code (CSMP++, HYDROTHERM ou TOUGH2) et les résultats sont en accord."}],"tag":300},{"ind2":" ","ind1":" ","subfield":[{"code":7,"content":"ba0yba0y"},{"code":"a","content":"The purpose of our study is to model a geothermal reservoir. When geothermal reservoirs are assumed to be composed of pure water, the transfer of mass and energy is classically described by two balance equations: the mass balance equation and the energy balance equation. In addition to those equations, fluid velocity is classically given by the Darcy law while thermodynamic properties, inferred from theoretical or empirical equations of state, are used to close the mathematical system. Once this system is closed, there exist different solutions. The first one is to solve for pressure and temperature with a variable switch to saturation in the two-phase region (e.g. TOUGH2). The second one is to solve for pressure and enthalpy to increase the stability of phase transition between single and two-phase states (e.g. Hydrotherm). We adopted the second option. We solve the system by using a splitting method \u2014 to get rid of the complexity of coupling equations \u2014 and a finite volume method for the spatial discretization. We offer some freedom to users thanks to the implementation of several methods like explicit or implicit Euler, Runge-Kutta or BDF2 for time solvers or GMRES and BICGSTAB for the linear solver. We can handle several boundary conditions like no-flow \u2014 describing a boundary which cannot exchange matter withthe exterior \u2014 or like a mixed-therm condition \u2014 a Dirichlet condition to the pressure and a Dirichlet or an outflow condition to the temperature in order to describe a recharge or a discharge zone \u2014 \u2026Selecting object-oriented languages, we developed a multi-language framework, combining Python, Fortran and a C++ implementation of IAPWS (from the freesteam project) including the supercritical equations. To close the system physical propertiesare determined by the IAPWS- IF97 thermodynamic formulation. We\u2019ve applied this simulation model to the dogger in Paris, France, to several onedimensional systems and a two-dimensional one made by Coumou with the CSMP++platform. The dogger is a reservoir exploited to produce heat by pumping water at 70 _C and reinjecting it in the reservoir at 40 _C. In the one-dimensional systems we wanted to observe the process of heat transfer from a higher temperature boundary to a smaller one in a high-energy domain. The last simulation shows the natural convection of water in a fault. For every simulation we compared the solutions we found with another code (TOUGH2 or CSMP++) and they agreed."}],"tag":300},{"ind2":0,"ind1":" ","subfield":[{"code":"b","content":"Thèse de doctorat"},{"code":"c","content":"Mathematiques"},{"code":"e","content":"Antilles"},{"code":"d","content":2016}],"tag":328},{"ind2":" ","ind1":" ","subfield":[{"code":7,"content":"ba0yba0"},{"code":"t","content":"Numérical modeling of Géothermal systems"}],"tag":441},{"ind2":1,"ind1":" ","subfield":[{"code":3,"content":223566357},{"code":7,"content":"ba0yba02"},{"code":"a","content":"Copol"},{"code":"b","content":"Cédrick, Nicolas"},{"code":"f","content":"1985-...."},{"code":4,"content":"070"}],"tag":501},{"ind2":1,"ind1":" ","subfield":[{"code":3,"content":"077046080"},{"code":7,"content":"ba0yba02"},{"code":"a","content":"Laminie"},{"code":"b","content":"Jacques"},{"code":4,"content":727},{"code":4,"content":555}],"tag":501},{"ind2":1,"ind1":" ","subfield":[{"code":3,"content":"11401776X"},{"code":7,"content":"ba0yba02"},{"code":"a","content":"Lopez"},{"code":"b","content":"Simon"},{"code":"f","content":"1976-...."},{"code":4,"content":727},{"code":4,"content":555}],"tag":501},{"ind2":1,"ind1":" ","subfield":[{"code":3,"content":156705567},{"code":7,"content":"ba0yba02"},{"code":"a","content":"Lagoutière"},{"code":"b","content":"Frédéric"},{"code":"f","content":"1973-...."},{"code":4,"content":958}],"tag":501},{"ind2":1,"ind1":" ","subfield":[{"code":3,"content":"078339170"},{"code":7,"content":"ba0yba02"},{"code":"a","content":"Alouges"},{"code":"b","content":"François"},{"code":"f","content":"19..-...."},{"code":"c","content":"mathématicien"},{"code":4,"content":555}],"tag":501},{"ind2":1,"ind1":" ","subfield":[{"code":3,"content":148455085},{"code":7,"content":"ba0yba02"},{"code":"a","content":"Geoffroy"},{"code":"b","content":"Michel Henri"},{"code":"f","content":"19..-...."},{"code":4,"content":555}],"tag":501},{"ind2":1,"ind1":" ","subfield":[{"code":3,"content":"091288053"},{"code":7,"content":"ba0yba02"},{"code":"a","content":"Petcu"},{"code":"b","content":"Madalina"},{"code":"f","content":"1976-...."},{"code":4,"content":555}],"tag":501},{"ind2":1,"ind1":" ","subfield":[{"code":3,"content":"17493128X"},{"code":7,"content":"ba0yba02"},{"code":"a","content":"Poullet"},{"code":"b","content":"Pascal"},{"code":4,"content":555}],"tag":501},{"ind2":2,"ind1":0,"subfield":[{"code":3,"content":187841578},{"code":7,"content":"ba0yba02"},{"code":"a","content":"Université des Antilles"},{"code":"c","content":"2015-...."},{"code":4,"content":295}],"tag":511},{"ind2":2,"ind1":0,"subfield":[{"code":3,"content":196924057},{"code":7,"content":"ba0yba02"},{"code":"a","content":"École doctorale Milieu insulaire tropical à risques : protection, valorisation , santé et développement"},{"code":"c","content":"Pointe-à-Pitre"},{"code":4,"content":996}],"tag":511},{"ind2":" ","ind1":" ","subfield":[{"code":3,"content":167068350},{"code":"a","content":"Énergie géothermique"},{"code":3,"content":"027551385"},{"code":"x","content":"Modèles mathématiques"},{"code":2,"content":"rameau"}],"tag":606},{"ind2":" ","ind1":" ","subfield":[{"code":3,"content":167068350},{"code":"a","content":"Énergie géothermique"},{"code":3,"content":"027551385"},{"code":"x","content":"Modèles mathématiques"},{"code":2,"content":"rameau"}],"tag":606},{"ind2":" ","ind1":" ","subfield":[{"code":3,"content":"027577015"},{"code":"a","content":"Électronique numérique"},{"code":2,"content":"rameau"}],"tag":606},{"ind2":" ","ind1":" ","subfield":[{"code":3,"content":"02723875X"},{"code":"a","content":"Mathématiques"},{"code":2,"content":"rameau"}],"tag":606},{"ind2":" ","ind1":" ","subfield":[{"code":7,"content":"ba0yba0"},{"code":3,"content":"027253139"},{"code":"a","content":"Thèses et écrits académiques"},{"code":2,"content":"rameau"}],"tag":608},{"ind2":" ","ind1":0,"subfield":{"code":"a","content":"Géothermie haute énergie"},"tag":610},{"ind2":" ","ind1":0,"subfield":{"code":"a","content":"Conservation de la masse"},"tag":610},{"ind2":" ","ind1":0,"subfield":{"code":"a","content":"Conservation de l'énergie"},"tag":610},{"ind2":" ","ind1":0,"subfield":{"code":"a","content":"Loi de Darcy"},"tag":610},{"ind2":" ","ind1":" ","subfield":[{"code":"a","content":510},{"code":2,"content":"TEF"}],"tag":686},{"ind2":3,"ind1":" ","subfield":[{"code":"a","content":"FR"},{"code":"b","content":"Abes"},{"code":"c","content":20260403},{"code":"g","content":"AFNOR"}],"tag":801}],"controlfield":[{"tag":"001","content":223658693},{"tag":"003","content":"http://www.idref.fr/223658693"},{"tag":"004","content":20180123},{"tag":"005","content":20260403021611},{"tag":"006","content":"0499"},{"tag":"007","content":"0499"},{"tag":"008","content":"Tr2"}]}}