SIMPLE WAVES IN SATURATED POROUS-MEDIA .1. THE ISOTHERMAL CASE

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 abr upt pressure impact applied to a compressible fluid flowing through sa turated, porous media under isothermal conditions. It was shown that d uring a certain time period following the onset of pressure change, th e macroscopic fluid momentum balance equation conforms to a wave form. This paper presents a one-dimensional simple analytical solution to t his wave equation. The wave equation is transformed to Euler's equatio n describing the motion of a ''new'' fluid with characteristics relate d to the former one.