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

Geofluids ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-12 ◽  
Author(s):  
Mohamed F. El-Amin ◽  
Ahmed M. Saad ◽  
Amgad Salama ◽  
Shuyu Sun
Keyword(s):  
Magnetic Field ◽  
Mathematical Model ◽  
Porous Media ◽  
Magnetic Nanoparticles ◽  
Additional Term ◽  
Flow In Porous Media ◽  
Phase System ◽  
Two Phase ◽  
The Mathematical Model ◽  
Nanoparticles Suspension

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 water-nanoparticles 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.

scholarly journals A SIMPLIFIED OXIDATION MODEL FOR TWO-PHASE FLOW IN POROUS MEDIA

2002 ◽  
Vol 1 (2) ◽  
pp. 09
Author(s):  
J. C. Da Mota ◽  
A. J. De Souza ◽  
D. Marchesin ◽  
P. W. Teixeira
Keyword(s):  
Mathematical Model ◽  
Porous Media ◽  
Wave Structure ◽  
Thermal Recovery ◽  
Flow In Porous Media ◽  
Low Temperature Oxidation ◽  
Two Phase ◽  
Temperature Oxidation ◽  
Physical Effects ◽  
The Mathematical Model

This paper describes a simplified mathematical model for thermal recovery by oxidation for flow of oxygen and oil in porous media. Some neglected important physical effects include gravity, compressibility and heat loss to the rock formation, but heat longitudinal conduction and capillary pressure difference between the phases are considered. The mathematical model is obtained from the mass balance equations for air and oil, energy balance and Darcy's law applied to each phase. Based on this model some typical features in low temperature oxidation concerning the wave structure are captured. Numerical simulations showing saturations and temperature profiles are reported.

scholarly journals A SIMPLIFIED OXIDATION MODEL FOR TWO-PHASE FLOW IN POROUS MEDIA

2002 ◽  
Vol 1 (2) ◽  
Author(s):  
J. C. Da Mota ◽  
A. J. De Souza ◽  
D. Marchesin ◽  
P. W. Teixeira
Keyword(s):  
Mathematical Model ◽  
Porous Media ◽  
Wave Structure ◽  
Thermal Recovery ◽  
Flow In Porous Media ◽  
Low Temperature Oxidation ◽  
Two Phase ◽  
Temperature Oxidation ◽  
Physical Effects ◽  
The Mathematical Model

This paper describes a simplified mathematical model for thermal recovery by oxidation for flow of oxygen and oil in porous media. Some neglected important physical effects include gravity, compressibility and heat loss to the rock formation, but heat longitudinal conduction and capillary pressure difference between the phases are considered. The mathematical model is obtained from the mass balance equations for air and oil, energy balance and Darcy's law applied to each phase. Based on this model some typical features in low temperature oxidation concerning the wave structure are captured. Numerical simulations showing saturations and temperature profiles are reported.

Experimental and Numerical Simulation of Two-Phase Flow with Interphase Mass Transfer in One and Two Dimensions

1969 ◽  
Vol 9 (03) ◽  
pp. 323-337 ◽  
Author(s):  
W.E. Culham ◽  
S.M. Farouq Ali ◽  
C.D. Stahl
Keyword(s):  
Mathematical Model ◽  
Mass Transfer ◽  
Porous Media ◽  
Production Rate ◽  
Two Phase Flow ◽  
Phase Flow ◽  
Two Phase ◽  
Hydrocarbon Mixtures ◽  
Interphase Mass Transfer ◽  
The Mathematical Model

Abstract One- and two-dimensional mathematical models have been developed that simulate transient, two-phase flow of hydrocarbon mixtures in porous media in a manner that accounts for interphase mass transfer. Numerical simulations of one-dimensional depletion-drive experiments using a two-component hydrocarbon fluid were used to establish the validity of the mathematical models. In addition, the experimental and numerical data were used to demonstrate that production rate had a relatively insignificant effect on the recovery of individual hydrocarbon components from the experimental system, and that attainment of equilibrium between phases is possible for a wide range of liquid and vapor velocities in reservoirs containing light hydrocarbon fluids. Results of some two-dimensional numerical simulations are also presented. Introduction This study was undertaken to develop a mathematical model that would simulate transient, two-phase flow of hydrocarbon mixtures in porous media under conditions that result in interphase mass transfer and to test the validity of the assumptions used to set up the model. In addition, the study was designed to determine if production rate influences the recovery of individual hydrocarbon components from reservoirs producing by depletion drive. Two-phase flow in porous media, with interchange of components between the two phases, is important in many petroleum recovery processes. Studies conducted within the last 3 years have outlined methods of solving multiphase flow problems incorporating mass transfer. Some of these studies have also indicated the importance of accounting for mass transfer under various producing conditions. An earlier works first demonstrated the importance of combining relative permeability data with equilibrium ratios in compositional balance methods. The mathematical model presented in this paper is formulated so that a phase behavior package, as described in previous papers, is not required as an integral part of the routine employed to solve for the primary dependent variables. The finite difference formulation is designed so that all these variables can be solved for simultaneously. This is accomplished by utilizing one basic set of equations. These innovations, which are in contrast to other models but are similar in some respects to the approach used by Taylor, render the total problem computationally simpler than any of the previously referenced formulations. The mathematical model was developed by combining Darcy's law with a continuity equation for each hydrocarbon component. The principal assumptions invoked in the formulation were that capillary forces and diffusional effects are negligible, and that thermodynamic equilibrium exists in the reservoir at all times. No assumption as to the type of vaporization process was made in formulating this model. Experimental data were required to complete this study. These were generated by conducting several depletion drive experiments. The experimental apparatus consisted of a sandstone core enclosed in a pressurized casing. The apparatus was designed in such a manner that the core could be charged with a liquid hydrocarbon mixture and depleted at different production rates. The experimental tests were designed to determine the effect of production rate on component recovery. SPEJ P. 323

TWO PHASE MIXTURE FILTRATION

2010 ◽  
Vol 13 (4) ◽  
pp. 5-17
Author(s):  
I. Antonov ◽  
A. Terziev ◽  
S. Antonov ◽  
Nam Thanh Nguyen ◽  
Lien Duc Hoang
Keyword(s):  
Mathematical Model ◽  
Porous Media ◽  
Fluid Model ◽  
Longitudinal Direction ◽  
Phase Flow ◽  
Two Phase ◽  
Phase Mixture ◽  
Two Fluid Model ◽  
The Mathematical Model ◽  
Two Fluid

This study describes new theory about filtrating of two-phase mixture passing through porous media. As a base of the two-fluid model of the two-phase flow and accepting the porous material as a media with increased resistance. The mathematical model is numerically solved using the appropriate descretization method. Some preliminary results from the numerical solution are presented – gas and admixture velocities distribution in longitudinal direction as a function of filtrating layer thickness.

A lattice Boltzmann study of viscous coupling effects in immiscible two-phase flow in porous media

2007 ◽  
Vol 300 (1-2) ◽  
pp. 35-49 ◽  
Author(s):  
Andreas G. Yiotis ◽  
John Psihogios ◽  
Michael E. Kainourgiakis ◽  
Aggelos Papaioannou ◽  
Athanassios K. Stubos
Keyword(s):  
Porous Media ◽  
Lattice Boltzmann ◽  
Two Phase Flow ◽  
Flow In Porous Media ◽  
Phase Flow ◽  
Viscous Coupling ◽  
Coupling Effects ◽  
Two Phase
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