An analytical model for spontaneous imbibition in fractal porous media including gravity

Cai, Jingong; Hu, Xiangyun; Standnes, Dag Chun; You, Lijun

doi:10.1016/j.colsurfa.2012.08.047

Cited by 269 publications

(136 citation statements)

References 54 publications

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“…Substitute Equations (15) and (16) and the boundary conditions to Equations (11) and (12), and the projection equations can be expressed as follows:…”

Section: Model Derivation Via the Typical Approachmentioning

confidence: 99%

“…Its computational consumption is very large for solving the two coupled sets of partially differential equations for fluid flows in the matrix and the fracture [5,6], which is not endurable in engineering for analyzing the long-term transient characteristics of flow in fractured porous media. Due to the high computational cost, many analytical solutions have been proposed [7][8][9][10][11]. However, analytical solutions can only be obtained under much idealized assumptions, such as slight compressibility, infinite radial flow, homogenization etc., so that their applications are very limited to simplified cases of oil flow.…”

Section: Introductionmentioning

confidence: 99%

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Acceleration of Gas Flow Simulations in Dual-Continuum Porous Media Based on the Mass-Conservation POD Method

Wang

Sun

2017

Energies

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Reduced-order modeling approaches for gas flow in dual-porosity dual-permeability porous media are studied based on the proper orthogonal decomposition (POD) method combined with Galerkin projection. The typical modeling approach for non-porous-medium liquid flow problems is not appropriate for this compressible gas flow in a dual-continuum porous media. The reason is that non-zero mass transfer for the dual-continuum system can be generated artificially via the typical POD projection, violating the mass-conservation nature and causing the failure of the POD modeling. A new POD modeling approach is proposed considering the mass conservation of the whole matrix fracture system. Computation can be accelerated as much as 720 times with high precision (reconstruction errors as slow as 7.69 × 10 −4 %~3.87% for the matrix and 8.27 × 10 −4 %~2.84% for the fracture).

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“…Substitute Equations (15) and (16) and the boundary conditions to Equations (11) and (12), and the projection equations can be expressed as follows:…”

Section: Model Derivation Via the Typical Approachmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Acceleration of Gas Flow Simulations in Dual-Continuum Porous Media Based on the Mass-Conservation POD Method

Wang

Sun

2017

Energies

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“…The capillary pressure is the main acting force of the imbibition, and it appears due to the wetting of the porous medium by a penetrating liquid, and consequent interactions of their surface energies (Zhmud et al 2000;Hamraoui and Nylander 2002;Masoodi et al 2007). There has been an ongoing interest in the imbibition process carried out by science and industry (Zhmud et al 2000;Masoodi and Pillai 2010;Cai et al 2012). The processes and mechanisms of porous media imbibition with singlephase liquids, for example, water (Hamraoui and Nylander 2002;Masoodi and Pillai 2010); deionized water and dimethyl silicone oil (Xue et al 2006); dodecane and diethyl ether (Zhmud et al 2000); and dodecane, hexadecane, and decane (Masoodi et al 2007) were investigated experimentally and described in the literature.…”

Section: Introductionmentioning

confidence: 99%

“…Another type related to the spontaneous imbibition of a wetting permeant into gas-saturated porous media consisting of a complex structure of pores and based on fractal geometry (Benavente et al 2002;Zhao and Li 2009;Cai et al 2010Cai et al , 2011Cai et al , 2012. The effect of tortuosity and shape on the capillary imbibition in the wetting porous media is discussed in the publications of Cai et al (2010Cai et al ( , 2011Cai et al ( , 2012, and this approach allowed to characterize the mentioned process in a wide range of porous structures, i.e. rocks, silica glasses, and fibrous material.…”

Section: Introductionmentioning

confidence: 99%

Analysis of emulsions concentration changes during imbibition in porous sorbents

Shtyka

Błaszczyk

Sęk

2016

Int. J. Environ. Sci. Technol.

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The stabilized emulsions removal from the aqueous systems is supposed to be an issue as important as the free oil products recovery. This work was conducted to investigate the mechanisms of oil-in-water emulsions sorption in a non-woven oleophilic/hydrophobic material forced by the capillary suction pressure, and the saturation level of such material during this process. It ensures the effective application of the sorbents and facilitates the development of alternative high-performance sorptive materials that can contribute to diminishing of the negative consequences of the aquatic environment contamination. The main aspect investigated in this research work was kinetics of the imbibition process in the porous media to define the optimal time of sorption and the height of the emulsions penetration. The measurement of the dispersed phase concentration changes with the increase in an emulsion front in the porous medium using the nephelometrical method is the advanced approach in the field of assessment of sorbents efficiency. The tendency of the imbibed emulsion concentration decrease versus the height was observed, which depended strongly on the viscosity and the initial composition of a penetrating liquid. The observed process was described by the mathematical model based on Hill equation.

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“…mass/height change) and time [1,[5][6][7][8][9][10]; study of the relation between the characteristics of porous structure and the imbibition rate [1,[7][8][9]; and study of the effect of the penetrating liquid characteristics on this process [5,6]. Majority of the represented results has been related to the imbibition with single-phase liquids [1,2,3,[5][6][7][8][9][10], while the issues concerning multiphase liquids, viz. emulsions, still have not been fully understood and described.…”

Section: Introductionmentioning

confidence: 99%

Effect of Surfactant Concentration in the Emulsions on the Process of Oleophilic Porous Structures Imbibition

Shtyka

Sęk

2016

MATEC Web of Conferences

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Abstract. The spontaneous imbibition has been a subject of the scientific interest being a background process for numerous industrial technologies and occurring in the natural environment. In literature the experimental and theoretical results regarding this phenomenon describe a media imbibition with single-phase liquids and the relation between the process rate and media characteristics. The imbibition of oleophilic porous structures with two-phase liquids, only one phase of which was wetting, is an objective of the current publication. The main purpose is to estimate the influence of both surfactant fraction and the dispersed phase concentration on the mentioned process. The imbibition rate was investigated during model experiments with stabilized oil-in-water emulsions having the dispersed phase concentrations of 10 vol%, 30 vol% and 50 vol%. The prepared emulsions differed with fraction of the added surfactant, i.e. 1 vol%, 2 vol% and 5 vol%. The obtained results allowed to conclude that at the him≥0.02 m, the dispersed phase concentration and viscosity decreased versus height. However, the raise of the surfactant fraction caused the increase of mass and height of the imbibed emulsions in porous medium. Moreover, this provided increasing of viscosity and a change of emulsions behaviour as a liquid.

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An analytical model for spontaneous imbibition in fractal porous media including gravity

Cited by 269 publications

References 54 publications

Acceleration of Gas Flow Simulations in Dual-Continuum Porous Media Based on the Mass-Conservation POD Method

Acceleration of Gas Flow Simulations in Dual-Continuum Porous Media Based on the Mass-Conservation POD Method

Analysis of emulsions concentration changes during imbibition in porous sorbents

Effect of Surfactant Concentration in the Emulsions on the Process of Oleophilic Porous Structures Imbibition

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