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Titlebook: Mathematical Modeling for Flow and Transport Through Porous Media; Gedeon Dagan,Ulrich Hornung,Peter Knabner Book 1991 Springer Science+Bu

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書目名稱Mathematical Modeling for Flow and Transport Through Porous Media
編輯Gedeon Dagan,Ulrich Hornung,Peter Knabner
視頻videohttp://file.papertrans.cn/627/626318/626318.mp4
圖書封面Titlebook: Mathematical Modeling for Flow and Transport Through Porous Media;  Gedeon Dagan,Ulrich Hornung,Peter Knabner Book 1991 Springer Science+Bu
描述The main aim of this paper is to present some new and general results, ap- plicable to the the equations of two phase flow, as formulated in geothermal reservoir engineering. Two phase regions are important in many geothermal reservoirs, especially at depths of order several hundred metres, where ris- ing, essentially isothermal single phase liquid first begins to boil. The fluid then continues to rise, with its temperature and pressure closely following the saturation (boiling) curve appropriate to the fluid composition. Perhaps the two most interesting theoretical aspects of the (idealised) two phase flow equations in geothermal reservoir engineering are that firstly, only one component (water) is involved; and secondly, that the densities of the two phases are so different. This has led to the approximation of ignoring capillary pressure. The main aim of this paper is to analyse some of the consequences of this assumption, especially in relation to saturation changes within a uniform porous medium. A general analytic treatment of three dimensional flow is considered. Pre- viously, three dimensional modelling in geothermal reservoirs have relied on numerical simulators. In contra
出版日期Book 1991
關(guān)鍵詞Simulation; calculus; geotechnical engineering; mathematical modeling; modeling; multiphase flow; optimiza
版次1
doihttps://doi.org/10.1007/978-94-017-2199-8
isbn_softcover978-90-481-4127-2
isbn_ebook978-94-017-2199-8
copyrightSpringer Science+Business Media Dordrecht 1991
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Diffusion Models with Microstructure,of these cells. Such models have been obtained by homogenization, but here we indicate stronger existence-uniqueness results of “parabolic” type can be obtained directly. Connections between these models and their historical development will be described.
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A Perturbation Solution for Nonlinear Solute Transport in Porous Media,m. The results are compared with the linear rate loss case and the effect of different values of the perturbation parameter is shown. Exponential and step sinks modeling water withdrawn from the profile are illustrated.
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