Computer simulations of miscible displacement processes in disordered porous media☆
References (63)
Random choice solution of hyperbolic systems
J. Comput. Phys.
(1976)The implications of fingering in underground hydrogen storage
Int. J. Hydrogen Energy
(1983)- et al.
Dispersion in flow through porous media—II. Two-phase flow
Chem. Engng Sci.
(1986) - et al.
Dispersion in flow through porous media—I. One-phase flow
Chem. Engng Sci.
(1986) A survey of several finite difference methods for systems of non-linear hyperbolic conservation laws
J. Comput. Phys.
(1978)- et al.
Small-angle X-ray scattering investigation of submicroscopic porosity with fractal properties
Phys. Rev. Lett.
(1984) - et al.
Factors influencing the efficiency of miscible displacement
Trans. AIME
(1959) - et al.
Simulating flow in porous media
Phys. Rev. A
(1988) - et al.
A linear-stability analysis for miscible displacements
Transp. porous Media
(1986) - et al.
Pore-scale viscous fingering in porous media
Phys. Rev. Lett.
(1985)
The instability of fronts in a porous medium
Communs math. Phys.
Detailed simulation of unstable processes in miscible flooding
SPE-Reservoir Engng
A predictive Monte Carlo simulation of two-fluid flow through porous media at finite mobility ratio
Phys. Fluids
Monte Carlo simulation of two-fluid flow through porous media at finite mobility ratio
Phys. Fluids
The network model of porous media
Trans. AIME
Solutions in the large for nonlinear hyperbolic of equations
Communs pure appl. Math.
Unstable fingers in two-phase flow
Communs pure appl. Math.
The efficiency of miscible displacement as a function of mobility ratio
Trans. AIME
Difference between lattice and continuum percolation transport exponents
Phys. Rev. Lett.
Onset of instability patterns between miscible fluids in porous media
J. appl. Phys.
Diffusion-limited aggregation and regular patterns: fluctuations versus anisotropy
J. Phys. A
Viscous fingering utilizing probabilistic simulations
Probabilistic stability analysis of multiphase flow in porous media
The fractal nature of viscous fingering in porous media
J. Phys. A
A method for predicting the performance of unstable miscible displacement in heterogeneous media
Soc. Petrol Engrs J.
Experimental studies of miscible displacement instability
Soc. Petrol. Engrs J.
Cluster size and boundary distribution near percolation threshold
Phys. Rev. B
Stability analysis of miscible displacement processes
Quantitative methods for microgeometric modeling
J. appl. Phys.
Sweep efficiency by miscible displacement in five-spot
Soc. Petrol. Engrs J.
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Diffusion-limited aggregates grown on nonuniform substrates
2013, Physica A: Statistical Mechanics and its ApplicationsCitation Excerpt :This line of thinking has been motivated by the fact that percolation clusters are good models for random porous media and DLAs have been connected to miscible displacement of one fluid by another in such media [19]. In fact, the growth of DLA on percolation clusters has been studied by numerical simulations in several seminal contributions [19–21]. In addition, theoretical predictions based on mean fields has also been established.
2-D network model simulations of miscible two-phase flow displacements in porous media: Effects of heterogeneity and viscosity
2006, Physica A: Statistical Mechanics and its ApplicationsApplication of fractal theory for characterisation of crystalline deposits
2006, Chemical Engineering ScienceCitation Excerpt :Several investigators have used fractal theory in order to describe complicated topology and geometry of materials and processes. Siddiqui and Sahimi (1990) studied simultaneous flow of two fluids through disordered porous media and the displacement of one of the fluids by the other. The main goal of their studies was to develop efficient computer simulation methods for investigating the effect of disordered morphology of the pore space on the Miscible Displacement Processes (MDP).
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1999, Physics Letters, Section A: General, Atomic and Solid State PhysicsImmiscible displacements of two-phase non-Newtonian fluids in porous media
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1995, Physica A: Statistical Mechanics and its Applications
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This paper is dedicated to the memory of Ali Sahimi who lost his life, at the age of 24, for loving his country and believing in freedom and justice for all.