Relative permeability for two-phase flow through corrugated tubes as model porous media

Ahmadlouydarab, Majid; Liu, Zhong‐Sheng; Feng, James J.

doi:10.1016/j.ijmultiphaseflow.2012.07.005

Cited by 27 publications

(14 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This trend conforms to the previous literature studies. Further it can be observed that water relative permeability decreases with increasing viscosity ratio while oil relative permeability increases with increasing viscosity ratio which is in line with experimental, numerical and modeling studies [31,41,60]. This behaviour can be explained using lubrication effect [32,35,39].…”

Section: Effects Of Viscosity Ratio On Relative Permeability-saturatisupporting

confidence: 83%

“…For example, the reported effects of viscosity on K r -S w relationships in the literature have been inconsistent [31][32][33][34][35][36][37][38][39][40][41].…”

Section: Introductionmentioning

confidence: 99%

“…Another experimental study [33] shows that both oil (nonwetting) and water (wetting) relative permeability increase with increasing viscosity ratio. On the other hand, numerical and modeling studies [31,35,41] demonstrate that water relative permeability decreases while oil relative permeability increases with increasing viscosity ratio. These are obvious inconsistencies, which warrant further investigations.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

et al. 2016

View full text Add to dashboard Cite

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.

show abstract

Section: Effects Of Viscosity Ratio On Relative Permeability-saturatisupporting

confidence: 83%

“…For example, the reported effects of viscosity on K r -S w relationships in the literature have been inconsistent [31][32][33][34][35][36][37][38][39][40][41].…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

et al. 2016

View full text Add to dashboard Cite

show abstract

“…According to the Darcy's law, the flow rate is linearly proportional to the driving force (i.e., the pressure drop). When two phases are present, the flow rate of each phase is linearly proportional to the driving force only if one phase does not interfere with the flow of the other . In this case, one phase effectively reduces the pore area available for the flow of the other.…”

Section: Introductionmentioning

confidence: 99%

Water and methane in shale rocks: Flow pattern effects on fluid transport and pore structure

Striolo

2015

AIChE Journal

View full text Add to dashboard Cite

Using molecular dynamics simulations we study the two-phase flow of water and methane through slit-shaped nano-pores carved from muscovite. The simulations are designed to investigate the effect of flow patterns on the fluids transport and on the pore structure. The results indicate that the Darcy's law, which describes a linear relation between flow rate and pressure drop, can be violated when the flow pattern is altered. This can happen when the driving force, i.e., the pressure drop, increases above a pore-size dependent threshold. Because the system considered here contains two phases, when the fluid structure changes, the movement of methane with respect to that of water changes, leading to the violation of the Darcy's law. Our results illustrate the importance of the capillary force, due to the formation of water bridges across the model pores, not only on the fluid flow, but also on the pore structure, in particular its width. When the water bridges are broken, perhaps because of fast fluid flow, the capillary force vanishes leading to significant pore expansion. Because muscovite is a model for illite, a clay often found in shale rocks, these results advance our understanding regarding the mechanism of water and gas transport in tight shale gas formations. 2

show abstract

“…The thickness of this region is controlled by a capillary length scale parameter, ε [41,42]. This methodology has been applied to describe steady state two-phase flows and displacement processes in porous media by Ahmadlouydarab et al [17] and Amiri and Hamouda [43,44]. It requires the joint solution of the Cahn-Hilliard (1) and Navier-Stokes (2) equations ∂φ ∂t…”

Section: Two-phase Flow Simulationsmentioning

confidence: 99%

Effects of Pore-Scale Geometry and Wettability on Two-Phase Relative Permeabilities within Elementary Cells

Janetti

Riva

Guadagnini

2017

Water

View full text Add to dashboard Cite

Abstract:We study the relative role of the complex pore space geometry and wettability of the solid matrix on the quantification of relative permeabilities of elementary cells of porous media. These constitute a key element upon which upscaling frameworks are typically grounded. In our study we focus on state immiscible two-phase flow taking place at the scale of elementary cells. Pressure-driven two-phase flow following simultaneous co-current injection of water and oil is numerically solved for a suite of regular and stochastically generated two-dimensional explicit elementary cells with fixed porosity and sharing main topological/morphological features. We show that the relative permeabilities of the randomly generated elementary cells are significantly influenced by the formation of preferential percolation paths, called principal pathways, giving rise to a strongly nonuniform distribution of fluid fluxes. These pathways are a result of the spatially variable resistance that the random pore structures exert on the fluid. The overall effect on relative permeabilities of the diverse organization of principal pathways, as driven by a given random realization at the scale of the elementary cell, is significantly larger than that of the wettability of the host rock. In contrast to what can be observed for the random cells analyzed, the relative permeabilities of regular cells display a clear trend with contact angle at the investigated scale.

show abstract

Relative permeability for two-phase flow through corrugated tubes as model porous media

Cited by 27 publications

References 31 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

Water and methane in shale rocks: Flow pattern effects on fluid transport and pore structure

Effects of Pore-Scale Geometry and Wettability on Two-Phase Relative Permeabilities within Elementary Cells

Contact Info

Product

Resources

About