Experimental and theoretical memory diffusion of water in sand

Concerning the fluids and the flow, some fluids carry solid particles whichmay obstruct some of the pores diminishing their size or even closing them,some others may chemically and physically react with the medium enlargingthe pores; so permeability changes during time and the flow occurs as if themedium had a memory.

In this paper we show with experimental data that the permeability of sandlayers may decrease due to rearrangement of the grains and consequentcompaction, as already shown qualitatively by Elias and Hajash (1992).We also provide a memory model for diffusion of fluids inporous media which fits well the flux rate observed in five laboratoryexperiments of diffusion of water in sand. Finally we show that the fluxrate variations observed during the experiments are compatible with thecompaction of sand, due to the amount of fluid which went through the grainslocally, and therefore with the reduction of porosity. 展开▼