Modeling and Simulation of Nanoparticles Transport in a Two-Phase Flow in Porous Media

El-Amin, Mohamed F.; Salama, Amgad; Sun, Shuyu

doi:10.2118/154972-ms

Cited by 26 publications

(16 citation statements)

References 6 publications

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“…In the following we introduce the governing equations briefly, (for details see Refs. [22,23,24,25,26,28,29]:…”

Section: Modeling and Mathematical Formulationmentioning

confidence: 99%

“…So, The transport equation of the nanoparticles in the water phase is given as ( [18,21,19,20,22,23,24,25,26,28,29]),…”

Section: Nanoparticles Transport Modelmentioning

confidence: 99%

“…[21]. El-Amin et al [22,23] have introduced a model to simulate nanoparticles transport in two-phase flow in porous media. In [24], authors extended the model to include a negative capillary pressure and mixed relative permeabilities correlations to fit with the mixed-wet system.…”

Section: Introductionmentioning

confidence: 99%

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Adaptive Time-Splitting Scheme for Nanoparticles Transport with Two-Phase Flow in Heterogeneous Porous Media

El-Amin

Kou

Sun

2018

Lecture Notes in Computer Science

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In this work, we introduce an efficient scheme using an adaptive time-splitting method to simulate the problem of nanoparticles transport with a two-phase flow in heterogeneous porous media. The pressure and saturation equations are coupled with the capillary pressure which is linearized in terms of sat- The time step-sizes for saturation and concentration equations are adaptive under computing and satisfying the Courant-Friedrichs-Lewy (CFL¡1) condition, iteratively. These results show the good performance of the scheme.Moreover, a numerical example of a highly heterogeneous porous medium is introduced and adaptive time step-sizes are shown in graphs for different cases, in addition to saturation, nanoparticles concentration contours.

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“…In the following we introduce the governing equations briefly, (for details see Refs. [22,23,24,25,26,28,29]:…”

Section: Modeling and Mathematical Formulationmentioning

confidence: 99%

“…So, The transport equation of the nanoparticles in the water phase is given as ( [18,21,19,20,22,23,24,25,26,28,29]),…”

Section: Nanoparticles Transport Modelmentioning

confidence: 99%

See 1 more Smart Citation

Adaptive Time-Splitting Scheme for Nanoparticles Transport with Two-Phase Flow in Heterogeneous Porous Media

El-Amin

Kou

Sun

2018

Lecture Notes in Computer Science

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“…Ju and Fan [8] calibrated a model for nanoparticles transport in two-phase flow in porous media based on the formulation of the colloid model of fine particles transport in two-phase flow in porous media [9]. El-Amin et al [10][11][12][13] have presented modeling and simulations of nanoparticles transport associated with two-phase flow in porous media. On the other hand, experimental studies of using nanoparticles in EOR have been conducted by Suleimanov et al [14] and Hendraningrat et al [15].…”

Section: Introductionmentioning

confidence: 99%

Modeling and Analysis of Magnetic Nanoparticles Injection in Water-Oil Two-Phase Flow in Porous Media under Magnetic Field Effect

et al. 2017

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In this paper, the magnetic nanoparticles are injected into a water-oil, two-phase system under the influence of an external permanent magnetic field. We lay down the mathematical model and provide a set of numerical exercises of hypothetical cases to show how an external magnetic field can influence the transport of nanoparticles in the proposed two-phase system in porous media. We treat the water-nanoparticles suspension as a miscible mixture, whereas it is immiscible with the oil phase. The magnetization properties, the density, and the viscosity of the ferrofluids are obtained based on mixture theory relationships. In the mathematical model, the phase pressure contains additional term to account for the extra pressures due to fluid magnetization effect and the magnetostrictive effect. As a proof of concept, the proposed model is applied on a countercurrent imbibition flow system in which both the displacing and the displaced fluids move in opposite directions. Physical variables, including waternanoparticles suspension saturation, nanoparticles concentration, and pore wall/throat concentrations of deposited nanoparticles, are investigated under the influence of the magnetic field. Two different locations of the magnet are studied numerically, and variations in permeability and porosity are considered.

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“…Their mathematical model has been suggested based on the model of the particle migration through porous media [2]. El-Amin et al [3][4][5][6][7] developed some models of transport of nanoparticles in a two-phase flow in porous media. The problem of nanoparticles transport in anisotropic porous media using the multipoint flux approximation was investigated by Salama et al [8] .…”

Section: Introductionmentioning

confidence: 99%

A Multiscale Time-Splitting Discrete Fracture Model of Nanoparticles Transport in Fractured Porous Media

El-Amin

Kou

Sun

2017

Day 3 Wed, April 26, 2017

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Recently, applications of nanoparticles have been considered in many branches of petroleum engineering, especially, enhanced oil recovery. The current paper is devoted to investigate the problem of nanoparticles transport in fractured porous media, numerically. We employed the discrete-fracture model (DFM) to represent the flow and transport in the fractured formations. The system of the governing equations consists of the mass conservation law, Darcy's law, nanoparticles concentration in water, deposited nanoparticles concentration on the pore-wall, and entrapped nanoparticles concentration in the pore-throat. The variation of porosity and permeability due to the nanoparticles deposition/entrapment on/in the pores is also considered. We employ the multiscale time-splitting strategy to control different time-step sizes for different physics, such as pressure and concentration. The cell-centered finite difference (CCFD) method is used for the spatial discretization. Numerical examples are provided to demonstrate the efficiency of the proposed multiscale time splitting approach.

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Modeling and Simulation of Nanoparticles Transport in a Two-Phase Flow in Porous Media

Cited by 26 publications

References 6 publications

Adaptive Time-Splitting Scheme for Nanoparticles Transport with Two-Phase Flow in Heterogeneous Porous Media

Adaptive Time-Splitting Scheme for Nanoparticles Transport with Two-Phase Flow in Heterogeneous Porous Media

Modeling and Analysis of Magnetic Nanoparticles Injection in Water-Oil Two-Phase Flow in Porous Media under Magnetic Field Effect

A Multiscale Time-Splitting Discrete Fracture Model of Nanoparticles Transport in Fractured Porous Media

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