Simple waves in saturated porous media (I. The isothermal case)

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16 Scopus citations


In a previous paper (Bear et al. Fluid Dynamics Research, Vol. 9, pp. 155-164) a mathematical model was developed in order to analyze an abrupt pressure impact applied to a compressible fluid flowing through saturated, porous media under isothermal conditions. It was shown that during a certain time period following the onset of pressure change, the macroscopic fluid momentum balance equation conforms to a wave form. This paper presents a one-dimensional simple analytical solution to this wave equation. The wave equation is transformed to Euler's equation describing the motion of a "new" fluid with characteristics related to the former one.

Original languageEnglish
Pages (from-to)294-298
JournalJSME International Journal, Series B: Fluids and Thermal Engineering
Issue number2
StatePublished - 1 Jan 1996


  • Abrupt Pressure Change
  • Euler's Equation
  • Homogeneous
  • Isothermal
  • Isotropic
  • Saturated Porous Media

ASJC Scopus subject areas

  • Mechanical Engineering
  • Physical and Theoretical Chemistry
  • Fluid Flow and Transfer Processes


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