Simple Waves in Saturated Porous Media : II. The Non Isothermal Case

Abstract

Wave equations may be invoked when an abrupt change in pressure applied to a compressible fluid in saturated porous media⁽¹⁾ (Bear et al. Fluid Dynamics Research, Vol.9, pp.155-164). This paper presents a method leading to generalized fluid density, pressure and temperature. Using these generalized characteristics, we write Euler's equation as the one-dimensional expression for the analytical solution of equation of motion of the fluid. To obtain this, equation the porosity and the matrix strain and temperature of the solid are developed as explicit functions of pressure.