Dynamic effects in capillary pressure relationships for two‐phase flow in porous media: Experiments and numerical analyses

Das, Diganta Bhusan; Mirzaei, Mahsanam

doi:10.1002/aic.13777

Cited by 68 publications

(121 citation statements)

References 21 publications

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“…This saturation-rate dependency of the system properties observed during non-steady state two-phase flow is referred to as dynamic capillary pressure effects [15] and a large body of literature involving experimental, modeling and theoretical studies has emerged concerning these phenomena [3,4,7,13,[15][16][17][18][19][20][21][22][23][24][25]. Studies by Stauffer [23], Kalaydjian [18], Hassanizadeh and Gray [26] suggest that an extension of the P c -S w function should include a saturation rate dependent term.…”

Section: Introductionmentioning

confidence: 99%

Scale dependency of dynamic relative permeability–satuartion curves in relation with fluid viscosity and dynamic capillary pressure effect

et al. 2016

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Capillary pressure-saturation-relative permeability relationships (P c -S w -K r ) are functions of importance in modeling and simulations of the hydrodynamics of two-phase flow in porous media. These relationships are found to be affected by porous medium and fluid properties but the manner in which they are affected is a topic of intense discussion. For example, reported trends in fluid viscosity and boundary conditions effects have been found to be contrary to each other in different studies. In this work, we determine the dependency of dynamic K r -S w relationships (averaged data) on domain scale in addition to investigating the effects of fluid viscosity and boundary pressure using silicone oil (i.e. 200 and 1000 cSt) and water as the respective non-wetting and wetting fluids with a view to eliminating some of the uncertainties reported in the literature. Water relative permeability, K rw , was found to increase with increasing wetting phase saturation but decreases with the increase in viscosity ratio. On the other hand, the oil relative permeability, K rnw , was found to increase with the increasing non-wetting phase saturation in addition to the increase in viscosity ratio. Also, it was found that with the increasing boundary pressure K rw decreases while K rnw increases. The influence of scale on relative permeability was slightly indicated in the non-wetting phase with K rnw decreasing as domain size increases. Effect of measurement location on dynamic relative permeability was explored which is rarely found in the literature. Comparison was also made between K r -S w relationships obtained under static and dynamic condition. Finally, mobility ratio (m) and dynamic coefficient (s) were plotted as a function of water saturation (S w ), which showed that m decreases as s increases at a given saturation, or vice versa.

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Section: Introductionmentioning

confidence: 99%

Scale dependency of dynamic relative permeability–satuartion curves in relation with fluid viscosity and dynamic capillary pressure effect

et al. 2016

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“…In particular, it has been shown that the heterogeneity in porous media affects the dynamic coefficient significantly by altering the rate to flow equilibrium (Manthey et al 2005;Mirzaei and Das 2007;Sakaki et al 2010;Das and Mirzaei 2013). Das et al (2007) and Das and Mirzaei (2013) show that the dynamic coefficient in heterogeneous domain is higher than in homogeneous domain implying that the two-phase flow system reaches equilibrium earlier in the homogeneous domain at a given water saturation.…”

Section: Introductionmentioning

confidence: 99%

“…In the last decade, a number of studies have determined the significance of τ in different circumstances Dahle et al 2005;Manthey et al 2005;Das et al 2007Das et al , 2014Das 2007, 2013;Peszynska and Yi 2008;Juanes 2009;Sakaki et al 2010;Bottero et al 2011;Mumford and O'Carroll 2011;Hanspal and Das 2012;Mirzaei 2012, 2013;Hanspal et al 2013;Hou et al 2014;Zhang et al 2014). In particular, it has been shown that the heterogeneity in porous media affects the dynamic coefficient significantly by altering the rate to flow equilibrium (Manthey et al 2005;Mirzaei and Das 2007;Sakaki et al 2010;Das and Mirzaei 2013).…”

Section: Introductionmentioning

confidence: 99%

“…A number of experiments have shown that the P c -S w curves at equilibrium and dynamic conditions are different (Topp et al 1967;Smiles et al 1971;Vachaud et al 1972;Mirzaei 2012, 2013;Mirzaei and Das 2013). The dependence of the capillary pressure curves on dS w /dt is known as the dynamic effect in capillary pressure relationship Mirzaei and Das 2007;Das et al 2007). Quantitatively, it is indicated by a coefficient called the dynamic coefficient (τ) which is calculated using Eq.…”

Section: Introductionmentioning

confidence: 99%

“…As discussed extensively in the literature, the properties of the two-phase system (e.g., interfacial tension, capillary pressure, density and viscosity of each fluid phase) and porous medium (e.g., porosity, permeability, pore size distribution, heterogeneity) are important in determining the flow behavior and, hence, the P c -S w relationships (Bear 1972;Corey 1994;Das et al 2004;Das et al 2007; Mirzaei 2012, 2013;Abidoye and Das 2014). In most cases, empirical data for the P c -S w relationships are obtained by means of laboratory experiments carried out on porous samples that are up to 10-12 cm long, and it is often assumed that the porous sample is homogeneous at that scale.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Artificial Neural Network to Determine Dynamic Effect in Capillary Pressure Relationship for Two-Phase Flow in Porous Media with Micro-Heterogeneities

et al. 2014

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An artificial neural network (ANN) is presented for computing a parameter of dynamic two-phase flow in porous media with water as wetting phase, namely, dynamic coefficient (τ), by considering micro-heterogeneity in porous media as a key parameter. τ quantifies the dependence of time derivative of water saturation on the capillary pressures and indicates the rates at which a two-phase flow system may reach flow equilibrium. Therefore, τ is of importance in the study of dynamic two-phase flow in porous media. An attempt has been made in this work to reduce computational and experimental effort by developing and applying an ANN which can predict the dynamic coefficient through the "learning" from available data. The data employed for testing and training the ANN have been obtained from computational flow physics-based studies. Six input parameters have been used for the training, performance testing and validation of the ANN which include water saturation, intensity of heterogeneity, average permeability depending on this intensity, fluid density ratio, fluid viscosity ratio and temperature. It is found that a 15 neuron, single hidden layer ANN can characterize the relationship between media heterogeneity and dynamic coefficient and it ensures a reliable prediction of the dynamic coefficient as a function of water saturation.

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Experimental Investigation of Hysteretic Dynamic Capillarity Effect in Unsaturated Flow

Zhuang

Hassanizadeh

Qin

et al. 2017

Water Resources Research

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The difference between average pressures of two immiscible fluids is commonly assumed to be the same as macroscopic capillary pressure, which is considered to be a function of saturation only. However, under transient conditions, a dependence of this pressure difference on the time rate of saturation change has been observed by many researchers. This is commonly referred to as dynamic capillarity effect. As a first‐order approximation, the dynamic term is assumed to be linearly dependent on the time rate of change of saturation, through a material coefficient denoted by τ. In this study, a series of laboratory experiments were carried out to quantify the dynamic capillarity effect in an unsaturated sandy soil. Primary, main, and scanning drainage experiments, under both static and dynamic conditions, were performed on a sandy soil in a small cell. The value of the dynamic capillarity coefficient τ was calculated from the air‐water pressure differences and average saturation values during static and dynamic drainage experiments. We found a dependence of τ on saturation, which showed a similar trend for all drainage conditions. However, at any given saturation, the value of τ for primary drainage was larger than the value for main drainage and that was in turn larger than the value for scanning drainage. Each data set was fit a simple log‐linear equation, with different values of fitting parameters. This nonuniqueness of the relationship between τ and saturation and possible causes is discussed.

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Dynamic effects in capillary pressure relationships for two‐phase flow in porous media: Experiments and numerical analyses

Cited by 68 publications

References 21 publications

Scale dependency of dynamic relative permeability–satuartion curves in relation with fluid viscosity and dynamic capillary pressure effect

Scale dependency of dynamic relative permeability–satuartion curves in relation with fluid viscosity and dynamic capillary pressure effect

Artificial Neural Network to Determine Dynamic Effect in Capillary Pressure Relationship for Two-Phase Flow in Porous Media with Micro-Heterogeneities

Experimental Investigation of Hysteretic Dynamic Capillarity Effect in Unsaturated Flow

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