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Titlebook: Introduction to the Thermodynamically Constrained Averaging Theory for Porous Medium Systems; William G. Gray,Cass T. Miller Book 2014 The

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書(shū)目名稱(chēng)Introduction to the Thermodynamically Constrained Averaging Theory for Porous Medium Systems
編輯William G. Gray,Cass T. Miller
視頻videohttp://file.papertrans.cn/475/474439/474439.mp4
概述Self-contained introduction to the derivation of conservation, thermodynamic, and evolution equations for modeling multiphase porous media systems.Formulates entropy inequalities that can be used to g
叢書(shū)名稱(chēng)Advances in Geophysical and Environmental Mechanics and Mathematics
圖書(shū)封面Titlebook: Introduction to the Thermodynamically Constrained Averaging Theory for Porous Medium Systems; William G. Gray,Cass T. Miller Book 2014 The
描述Thermodynamically constrained averaging theory provides a consistent method for upscaling conservation and thermodynamic equations for application in the study of porous medium systems. The method provides dynamic equations for phases, interfaces, and common curves that are closely based on insights from the entropy inequality.?All larger scale variables in the equations are explicitly defined in terms of their microscale precursors, facilitating the determination of important parameters and macroscale state equations based on microscale experimental and computational analysis.?The method requires that all assumptions that lead to a particular equation form be explicitly indicated, a restriction which is useful in ascertaining the range of applicability of a model as well as potential sources of error and opportunities to improve the analysis.
出版日期Book 2014
關(guān)鍵詞Averaging Theory; Groundwater; Multiphase Flow; Porous Media; Thermodynamics; quantitative geology
版次1
doihttps://doi.org/10.1007/978-3-319-04010-3
isbn_softcover978-3-319-35501-6
isbn_ebook978-3-319-04010-3Series ISSN 1866-8348 Series E-ISSN 1866-8356
issn_series 1866-8348
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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Macroscale Conservation Principles,e equations. The procedure for the development of macroscale equations is similar. However, an additional step is required to transform the microscale relations to the macroscale prior to applying the closure procedure.
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Modeling Approach and Extensions,els. While considerable ground has been covered, much more remains to be accomplished in extending the models presented and in going on to other cases and problem types. The purpose of this concluding chapter is to point out a few of the many opportunities that exist for evaluation and extension of TCAT models.
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Introduction to the Thermodynamically Constrained Averaging Theory for Porous Medium Systems978-3-319-04010-3Series ISSN 1866-8348 Series E-ISSN 1866-8356
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Macroscale Thermodynamics,A unique feature of the TCAT approach is the treatment of thermodynamics at the macroscale. Alternative averaging theories either ignore thermodynamics completely or introduce thermodynamics directly at the macroscale using the rational thermodynamics approach.
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