Influence du contraste de viscosités sur les perméabilités relatives lors du drainage. Expérimentation et modélisation

Danis, Michel; Jacquin, C.

doi:10.2516/ogst:1983044

Cited by 18 publications

(13 citation statements)

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“…However, it is clear that these terms are important for certain two-phase flows such as flows in capillaries (Kalaydjian, 1990;Bacri et al, 1990), and flows in capillary networks (Rothman, 1990;Goode and Ramakrishnan, 1993). Other pore-scale numerical simulations confirm the importance of the exchange of momentum through the/3-7 interface (Danis and Jacquin, 1983;Danis and Quintard, 1984). Experimental measurement of these coefficients for flows in capillaries confirm theoretical predictions (Kalaydjian 1988(Kalaydjian , 1990Kalaydjian and Legait 1987(b), 1988; however, the results of investigations for more complex media are not clear.…”

Section: Introductionmentioning

confidence: 95%

Determination of permeability tensors for two-phase flow in homogeneous porous media: Theory

1996

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In this paper we continue previous studies of the closure problem for two-phase flow in homogeneous porous media, and we show how the closure problem ca n be transformed to a pair of Stokes-like boundary-value problems in terms of 'pressures' that have units of length and 'velocities' that have units of length squared. These are essentially geometrical boundary value problems that are used to calculate the four permeability tensors that appear in the volume averaged Stokes' equations.To determine the geometry associated with the closure problem, one needs to solve the physical problem; however, the closure problem can be solved using the same algorithm used to solve the physical problem, thus the entire procedure can be accomplished with a single numerical code.

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Section: Introductionmentioning

confidence: 95%

Determination of permeability tensors for two-phase flow in homogeneous porous media: Theory

1996

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“…If hydrodynamic interaction between the two phases were important, it would manifest itself in the effect of viscosity ratio upon relative permeability and the effect of pressure gradients in one phase upon the flow rate of the other. A number of people have shown theoretically that if the nonwetting phase is much more viscous than the wetting phase there may be a lubrication effect in which the nonwetting phase relative permeability is larger at low wetting phase saturations than it would be for a unit viscosity ratio system (Yuster, 1951;Ehrlich and Crane, 1969;Larson, 1981;Danis and Jacquin, 1983;Levine and Cuthiell, 1986). However, when capillary forces dominate viscous forces, much of the evidence in the literature suggests that relative permeability is not affected appreciably by viscosity ratio or the direction of fluid motion (Dullien, 1979).…”

Section: Relative Permeability Calculationmentioning

confidence: 99%

The effect of pore-structure on hysteresis in relative permeability and capillary pressure: Pore-level modeling

Jerauld¹,

Salter²

1990

Transp Porous Med

390

203

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The effect of pore-structure upon two-phase relative permeability and capillary pressure of strongly-wetting systems at low capillary number is simulated. A pore-level model consisting of a network of pore-bodies interconnected by pore-throats is used to calculate scanning loops of hysteresis between primary drainage, imbibition and secondary drainage. The pore-body to pore-throat aspect ratio strongly influences the pattern of hysteresis. Changes in the patterns of hysteresis often attributed to consolidation can be understood in terms of changes in aspect ratio. Correlation between the sizes of neighboring pore-throats affects the shape of the relative permeability curves, while the width and shape of the pore-size distribution have only a minor influence.

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“…wettability (Dullien et al 1990) and viscosity ratio (Danish and Jacquin 1983)) that are in contact 45 with one another. Despite these notions, the saturation-rate (dS/dt) dependency of the P c -S 46 relationships has been observed in many studies during dynamic two-phase flow in porous media 47 which is referred to as the dynamic capillary pressure effect (Hassanizadeh et Khudaida and Das, 2014).…”

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confidence: 99%

Artificial neural network modeling of scale-dependent dynamic capillary pressure effects in two-phase flow in porous media

Abidoye

Das

2014

Journal of Hydroinformatics

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8A number of numerical simulations and experimental investigations have reported the impact of 9 specific domain size on the dynamic capillary pressure which is one of the forces that govern two-10 phase flow in porous media. These investigations are often achieved with time-consuming 11 experiments and/or costly/complex computational methods. In view of this, a computationally 12 efficient and simple alternative platform for the prediction of the domain scale dependence of the 13 dynamic capillary pressure effects, defined in terms of a coefficient named as dynamic coefficient ( 14 τ ), is developed using artificial neural network (ANN). The input parameters consist of the phase 15 saturation, media permeability, capillary entry pressure, viscosity ratio, density ratio, temperature, 16 pore size distribution index, porosity and domain volume with corresponding output τ obtained at 17 different domain scales. Good generalization of the model was achieved by acquiring data from 18 independent sources comprising experiments and numerical simulations. Different ANN 19 configurations as well as linear and non-linear multivariate regression models were tested using a 20 number of performance criteria. Findings in this work showed that the ANN structures with two 21 hidden layers perform better than those with single hidden layer. In particular, the ANN configuration 22 with 13 and 15 neurons in the first and second hidden layers, respectively, performed the best. 23Using this best-performing ANN, effects of increased domain size were predicted for three separate 24 experimental results obtained from literature and our laboratory with different domain scales. 25Results showed increased magnitude of τ as the domain size increases for all the independent 26 experimental data considered. This work shows the applicability and techniques of using ANN in the 27 prediction of scale dependence of two-phase flow parameters. 28Keywords: Multi-scale, dynamic capillary pressure effects, dynamic coefficient, ANN, two-phase 29 flow, viscosity ratio, porous media 30

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Influence du contraste de viscosités sur les perméabilités relatives lors du drainage. Expérimentation et modélisation

Cited by 18 publications

References 0 publications

Determination of permeability tensors for two-phase flow in homogeneous porous media: Theory

Determination of permeability tensors for two-phase flow in homogeneous porous media: Theory

The effect of pore-structure on hysteresis in relative permeability and capillary pressure: Pore-level modeling

Artificial neural network modeling of scale-dependent dynamic capillary pressure effects in two-phase flow in porous media

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