Note on Coussy’s Thermodynamical Definition of Fluid Pressure for Deformable Porous Media

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• 作者：Lynn Schreyer
• 关键词：Coussy ; Porous media ; Thermodynamics ; Pressure ; Deformation
• 刊名：Transport in Porous Media
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：114
• 期：3
• 页码：815-821
• 全文大小：440 KB
• 刊物类别：Earth and Environmental Science
• 刊物主题：Earth sciences
  Geotechnical Engineering
  Industrial Chemistry and Chemical Engineering
  Civil Engineering
  Hydrogeology
  Mechanics, Fluids and Thermodynamics
  
• 出版者：Springer Netherlands
• ISSN：1573-1634
• 卷排序：114

文摘

In a lifetime of work, Dr. Olivier Coussy developed a complete theoretic framework for porous media that researchers in a broad range of fields including (but not limited to) concrete, hydrology, swelling clay, and \(\hbox {CO}_2\)-induced swelling of coal have continued to use as a foundation. However, in some of these works where a framework is developed for a deformable porous media, a dissipative inequality is assumed that implicitly results in a thermodynamical form of liquid pressure that is inconsistent with the classical thermodynamical form of pressure found in thermodynamic textbooks for a single phase. In this note, we compare this definition of pressure with those developed in other mixture-theoretic frameworks and demonstrate this inconsistency by mathematically showing that the thermodynamic quantity is most closely related to the solid pressure and explain how this inconsistency came about.