Modelling the osmosis effect on solute migration through porous media

Numerical modeling of a long-term in situ chemical osmosis experiment in the Pierre Shale, South Dakota

“…Transport equations (2) and (3) are identical to those derived by Manassero and Dominijanni [33]. Malusis and Shackelford [30], by contrast, use a different form of Eq.…”

“…[19,18,58,59,48]) have been used extensively to calculate average membrane efficiencies from laboratory experimental data for steady-state ultrafiltration or osmotic equilibrium conditions [15,20,7]. Others [12,30,33,1] have derived continuous transport formulations that, together with conservation equations for solute and water, yields a set of coupled differential equations for continuum models that allow simulation of transient flow and transport conditions within membranes. Mitchell et al [36] and Greenberg et al [12] used a 1-dimensional model to investigate settlement due to osmotic consolidation of a confining layer in the Oxnard basin, California, following seawater intrusion into contiguous aquifers.…”

“…A constant value for the diffusion coefficient was used for the shale. Strictly speaking, the diffusion coefficient in a semi-permeable membrane is related to the salt mass fraction according to D* = D(1 À r(w)) [18,33,1], where D is the diffusion coefficient without membrane effects. Malusis and Shackelford [31] provide actual measured data that show a close resemblance to this relationship.…”

Chemo-hydro-mechanical coupled consolidation for a poroelastic clay buffer in a radioactive waste repository

“…This phenomenon and the associated effects are well known in many disciplines ; Barbour and Fredlund 1989;Mitchell 1993;Di Maio 1996;Neuzil 2000;Keijzer and Loch 2000;Manassero and Dominijanni 2003). An ideal semi-permeable membrane is a diaphragm that can be crossed only by the solvent but not by molecules of the solute owing to the reduced size of the membrane pores, which can be considered smaller than the solute molecules but larger than the solvent molecules.…”

Multi-dimensional chemo-osmotic consolidation of clays

“…Following Fernandez and Quigley [7], this type of volume change is termed here as chemical consolidation. Secondly, osmosis under chemical concentration gradients may result in the development of negative increments of pore pressure and a subsequent increase in effective stress in the clay, leading to compression of the soil [6,8,9]. Following Kaczmarek and Hueckel [1], this type of volume change in clays is termed as osmotic consolidation in this paper.…”