Numerical modelling of chemical osmosis and ultrafiltration across clay membranes

Rojas, Alberto Mendoza; Bader, S. D.; Kooi, H.; Richter, K.; Keijzer, T.J.S.

doi:10.1016/s0167-5648(02)80120-4

Cited by 8 publications

(3 citation statements)

References 5 publications

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“…Moreover, SolerÕs model lacked a rigorous coupling with a pressure equation (fluid balance). Garavito et al [11], Kooi et al [27] and Bader and Kooi [1] recently presented a model that incorporates the strong dependence of osmotic efficiency on spatially and temporally variable concentration shown by Bresler [6]. Garavito et al [11] applied the model to transient data of the laboratory osmosis experiments performed by Keijzer [20] and Kooi et al [27] presented generic modeling results of the transient system behavior for ultrafiltration and chemical osmosis.…”

Section: Model For the New Analysismentioning

confidence: 99%

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

Garavito

Kooi

Neuzil

2006

Advances in Water Resources

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Section: Model For the New Analysismentioning

confidence: 99%

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

Garavito

Kooi

Neuzil

2006

Advances in Water Resources

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“…In addition to the aforementioned experimental studies, several theoretical studies have been devoted to characterizing liquid flow and solute transport through clay membranes based on coupled flux theory derived from principles of nonequilibrium (irreversible) thermodynamics (Bader and Kooi, 2005;Dominijanni, 2005;Dominijanni and Manassero, 2012a;Garavito et al, 2002;Greenberg, 1971;Greenberg et al, 1973;Groenevelt and Bolt, 1969;Groenevelt and Elrick, 1976;Groenevelt et al, 1978Groenevelt et al, , 1980Kooi et al, 2003;Lu et al, 2004;Malusis, 2001;Malusis and Shackelford, 2002c;Manassero and Dominijanni, 2003;Mitchell et al, 1973;Olsen et al, 2000;Soler, 2001;Van Impe, 2002;Yeung, 1990;Yeung and Mitchell, 1993). However, the coupled flux formulations in these studies have differed, and the differences have not been elucidated in a comprehensive manner, which can lead to confusion over the validity or applicability of the various formulations.…”

Section: Introductionmentioning

confidence: 99%

Critical review of coupled flux formulations for clay membranes based on nonequilibrium thermodynamics

Malusis

Shackelford

Maneval

2012

Journal of Contaminant Hydrology

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“…However, most existing mathematical models (Huang 1998, Lomba 2000, Garavito 2002, Malusis 2004, and Bader 2004 for pore pressure diffusion in shale/clay involve parameters that are not readily available from lab or field data. It is imperative to develop an approach that can be used to determine the parameters involved in the model.…”

Section: Introductionmentioning

confidence: 99%

Modeling Chemically Induced Pore Pressure Alterations in Near Wellbore Region of Shale Formations

Huang

Miska

et al. 2011

SPE Eastern Regional Meeting

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Instability issues often occur when water-based muds are applied to shale formations. Failure to predict the pore pressure accurately has been widely accepted as one of the major reasons causing shale instability. Water activity is a key factor to control the pore fluid moving in and out of the formation due to osmotic effects. Ideal and single-solute models have been developed in the past to predict the pore pressure by considering chemical osmotic effects. However, due to their complex nature, pore fluids/drilling fluids rarely behave as ideal solutions. A new model has been developed to predict pore pressure in shale formations that takes into account the non-ideality and multiple solutes of both drilling fluid and pore fluid. Transient pore pressure profiles and water activity are obtained from the coupled equations developed in this study. A Shale-Fluid Interaction Testing Cell (SFITC) has been developed in this study to test the interaction between the drilling fluid and the pore fluid. Parameters involved in the model, such as hydraulic conductivity, membrane efficiency and ion diffusion rate can be obtained through experimental data curve fitting. Model predictions have been compared with lab data and good agreement has been achieved. Water activity is found to be crucial for pore pressure control in shale formations. Simulation results explain the fact that salinity of drilling fluids has to be controlled in order to achieve shale stability. Results of this study can benefit drilling fluid design. Shale instability can be reduced by "balancing" the water activities of shale and drilling fluid. This can be achieved through changing the type of solutes and their concentrations based on information of the initial water activity of the shale. Wellbore stability models can obtain more accurate results by including the proposed pore pressure propagation model, which considers drilling fluid-induced chemical osmotic in-situ stress.

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Numerical modelling of chemical osmosis and ultrafiltration across clay membranes

Cited by 8 publications

References 5 publications

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

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

Critical review of coupled flux formulations for clay membranes based on nonequilibrium thermodynamics

Modeling Chemically Induced Pore Pressure Alterations in Near Wellbore Region of Shale Formations

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