Analytical solutions for co- and counter-current imbibition of sorbing, dispersive solutes in immiscible two-phase flow

Schmid, Karen Sophie; Geiger, Sebastian; Sorbie, Kenneth Stuart

doi:10.1007/s10596-012-9282-6

Cited by 22 publications

(8 citation statements)

References 57 publications

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“…As a matter of fact, if the capillary pressure was effective, then the flow would have happened in the MgSO 4 case, not the Na 2 CO 3 flooding. Also, the calculated values are less than the effective ranges observed in the previous studies (Abolhosseini et al 2018;Schmid et al 2012).…”

Section: Capillary Pressurecontrasting

confidence: 75%

Impact of solutal Marangoni convection on oil recovery during chemical flooding

et al. 2020

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In this study, the impacts of solutal Marangoni phenomenon on multiphase flow in static and micromodel geometries have experimentally been studied and the interactions between oil droplet and two different alkaline solutions (i.e. MgSO 4 and Na 2 CO 3) were investigated. The static tests revealed that the Marangoni convection exists in the presence of the alkaline and oil which should carefully be considered in porous media. In the micromodel experiments, observations showed that in the MgSO 4 flooding, the fluids stayed almost stationary, while in the Na 2 CO 3 flooding, a spontaneous movement was detected. The changes in the distribution of fluids showed that the circular movement of fluids due to the Marangoni effects can be effective in draining of the unswept regions. The dimensional analysis for possible mechanisms showed that the viscous, gravity and diffusion forces were negligible and the other mechanisms such as capillary and Marangoni effects should be considered in the investigated experiments. The value of the new defined Marangoni/capillary dimensionless number for the Na 2 CO 3 solution was orders of magnitude larger than the MgSO 4 flooding scenario which explains the differences between the two cases and also between different micromodel regions. In conclusion, the Marangoni convection is activated by creating an ultra-low IFT condition in multiphase flow problems that can be profoundly effective in increasing the phase mixing and microscopic efficiency.

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Section: Capillary Pressurecontrasting

confidence: 75%

Impact of solutal Marangoni convection on oil recovery during chemical flooding

et al. 2020

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“…By comparing Manuscript Click here to download Manuscript: SpectralMcwhorterRevised.tex Click here to view linked References with the Buckley-Leverett equation, the MSE can be used to evaluate the impact of capillary pressure, similar to work done by Goumiri et al [5]. The MSE also forms the starting point of a new set of semi-analytical solutions to consider hydrodynamic dispersion and adsoprtion of solutes in two-phase flow [see 14,15]. More recently, the MSE has been used to derive a new scaling group for interpretation and upscaling of laboratory experiments associated with spontaneous, counter-current imbibition [13].…”

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confidence: 99%

A pseudospectral approach to the McWhorter and Sunada equation for two-phase flow in porous media with capillary pressure

Bjørnarå

Mathias

2013

Comput Geosci

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The full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. Response to Reviewers: My comments to the reviewers are in the attached word-document, "comments reviewers final.docx". Powered by Editorial Manager® and Preprint Manager® from Aries Systems CorporationComputational Geoscience manuscript No. The former ignores capillary pressure and can be solved analytically. The latter has traditionally been formulated as an iterative integral solution, which suffers from convergence problems as the injection saturation approaches unity. Here an alternative approach is presented that solves the MSE using a pseudospectral Chebyshev differentiation matrix. The resulting pseudospectral solution is compared to results obtained from the original integral implementation and the Buckley-Leverett limit, when the capillary pressure becomes negligible. A self-contained MATLAB code to implement the new solution is provided within the manuscript.The new approach offers a robust and accurate method for verification of numerical codes solving two-phase flow with capillary pressure.

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“…Analytical solutions for 1D transport of solutes in a 2-phase system by spontaneous and forced imbibition were presented in (Schmid et al, 2012). They accounted for arbitrary flow functions and dispersion and adsorption of the component.…”

Section: Previous Modelingmentioning

confidence: 99%

A Model for Wettability Alteration in Fractured Reservoirs

et al. 2015

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Many of the world's oil reservoirs are naturally fractured. Injected water will flow into this highly permeable network and not sweep the matrix containing most of the oil. Spontaneous imbibition can drive oil into the fractures by capillary forces. However the wettability of the reservoir is critical for the ultimate potential of oil recovery. Experimental results indicate that exposing chalk cores to seawater or similar brines may alter the wettability towards a more water-wet state. In a fractured reservoir this exposure will happen by molecular diffusion and by water imbibing into the matrix. The injected brine is not in chemical equilibrium with the in-situ rock, water and oil so that chemical reactions occur. Experiments have shown that for chalk rocks the relevant processes are adsorption/desorption of ions on the mineral surface, precipitation/dissolution of minerals or ion exchange. We have developed a model where a reservoir is defined by a fracture surrounded by matrix on both sides. The injected brine contains a component that can adsorb on the matrix surface. These changes of the mineral surface are assumed to alter the wettability towards a more water-wet state. The wettability alteration is described by shifting curves for relative permeability and capillary pressure from curves representing oil-wet conditions towards curves representing more water-wet conditions. The model can make predictions regarding the effect of matrix properties such as wettability and external parameters such as schedule of brine compositions and injection rate. The understanding of the coupling between wettability alteration controlled by water-rock chemistry and fracture-matrix flow is highly relevant for gaining more insight into the observed high recovery in the North Sea chalk field Ekofisk. TX 75083-3836, U.S.A., fax +1-972-952-9435

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Analytical solutions for co- and counter-current imbibition of sorbing, dispersive solutes in immiscible two-phase flow

Cited by 22 publications

References 57 publications

Impact of solutal Marangoni convection on oil recovery during chemical flooding

Impact of solutal Marangoni convection on oil recovery during chemical flooding

A pseudospectral approach to the McWhorter and Sunada equation for two-phase flow in porous media with capillary pressure

A Model for Wettability Alteration in Fractured Reservoirs

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