S. Sorek et al., SIMPLE WAVES IN SATURATED POROUS-MEDIA .2. THE NON ISOTHERMAL CASE, JSME international journal. Series B, fluids and thermal engineering, 39(2), 1996, pp. 299-304
Wave equations may be invoked when an abrupt change in pressure applie
d to a compressible fluid in saturated porous media((1)) (Bear et al.
Fluid Dynamics Research, Vol. 9, pp. 155-164). This paper presents a m
ethod 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.