Consolidation of Elastic Porous Media Saturated by Two Immiscible Fluids

Body waves in poroelastic media saturated by two immiscible fluids

A study of body waves in elastic porous media saturated by two immiscible Newtonianfluids is presented. We analytically show the existence of three compressionalwaves and one rotationalwave in an infinite porous medium. The first and second compressional waves are analogousto the fast and slow compressionalwaves in Biot's theory. The third compressionalwave is associated with the pressure diffe...

Compressional-wave propagation in porous media saturated with two fluids

A theory of porous media with voids filled by two immiscible fluids should comply with Laplace’s law of capillary pressure at the pore level. For the convenience of practical use, it ideally should also involve only the generic elastic coefficients of the mineral grains and pore-filling fluids and avoid the use of “bulk” coefficients of the dry solid frame, whose measurement involves idealized ...

Non-Darcy displacement of immiscible fluids in porous media

This paper presents a Buckley-Leverett analytical solution for non-Darcy displacement of two immiscible fluids in porous media. The multiphase non-Darcy displacement is described using a Forchheimer equation or other non-Darcy flow correlations under multiphase flow conditions. The analytical solution is used to obtain some insight into the physics of displacement involving non-Darcy flow effec...

Rayleigh–Taylor instability of immiscible fluids in porous media

The time development of an interface separating two immiscible fluids of different densities in heterogeneous two-dimensional porous media is studied. The governing equations are simplified with the help of approximate Green’s functions which allow computation of the shape of the interface directly without resolving the fluid flow in the entire domain. The new formulation is amenable to numeric...

Application of the Boundary Element Method to two Dimensional Dynamic Problems of Saturated Porous Media