Capillary imbibition of surfactant solutions in porous media and thin capillaries: partial wetting case

2004 ◽  
Vol 273 (2) ◽  
pp. 589-595 ◽  
Author(s):  
V.M. Starov ◽  
S.A. Zhdanov ◽  
M.G. Velarde
Author(s):  
Swayamdipta Bhaduri ◽  
Pankaj Sahu ◽  
Siddhartha Das ◽  
Aloke Kumar ◽  
Sushanta K. Mitra

The phenomenon of capillary imbibition through porous media is important both due to its applications in several disciplines as well as the involved fundamental flow physics in micro-nanoscales. In the present study, where a simple paper strip plays the role of a porous medium, we observe an extremely interesting and non-intuitive wicking or imbibition dynamics, through which we can separate water and dye particles by allowing the paper strip to come in contact with a dye solution. This result is extremely significant in the context of understanding paper-based microfluidics, and the manner in which the fundamental understanding of the capillary imbibition phenomenon in a porous medium can be used to devise a paper-based microfluidic separator.


1980 ◽  
Vol 20 (03) ◽  
pp. 129-138 ◽  
Author(s):  
A. Satter ◽  
Y.M. Shum ◽  
W.T. Adams ◽  
L.A. Davis

Abstract Because of the importance of chemical flooding operations, the mechanisms of chemical dispersion and adsorption in porous media are of increasing interest to the petroleum industry. This paper presents a mathematical model for simulating presents a mathematical model for simulating chemical transport phenomena in porous rocks; these phenomena include dispersion and either Langmuir phenomena include dispersion and either Langmuir equilibrium or rate-controlled adsorption. The accuracy of this numerical model was verified by comparing the calculated results with those obtained by analytical solutions for a number of limiting cases. The effects of dimensionless dispersion, adsorptive capacity, flow rate, and kinetic rate groups controlling dispersion/adsorption mechanisms were investigated. The utility of the model was demonstrated further by matching experimental results. When adsorption of a chemical is rate-controlled or time-dependent, core flood data obtained at times much shorter than reservoir residence times can lead to a serious underestimation of chemical requirements for the field projects. Introduction Chemical dispersion and adsorption in porous media are of increasing interest to the petroleum industry because of the increasing importance of chemical flooding operations. While dispersion causes mixing and dissipation of a chemical slug, adsorption can result in a real chemical loss to the reservoir; the ultimate success of a chemical recovery process is controlled by the nature and magnitude of the loss. Although diffusion and dispersion have been studied extensively during the past two decades, publications on the adsorption of chemical recovery publications on the adsorption of chemical recovery agents have been limited. The relatively simple case of adsorption of a gas on a clean, homogeneous, solid surface illustrates the complexity of the adsorption phenomenon. The adsorption can be purely physical, purely chemisorption, a combination of physical, purely chemisorption, a combination of both, or an intermediate type. The adsorption of polymer and surfactant solutions on porous rocks is polymer and surfactant solutions on porous rocks is complicated by the physiochemical properties of the solutions and rocks and by the nature of the pore structure of the rock matrix. Nevertheless, adsorption from dilute aqueous-phase solutions can be described by the Langmuir equilibrium isotherm for a variety of chemicals, including many surfactants and polymers. These chemicals can sometimes exhibit adsorptions that are significantly rate-controlled or time-dependent rather than instantaneous. The classical model for rate-controlled adsorption was proposed by Langmuir. This paper presents numerical solutions to the transport equations for dispersion and adsorption in porous media, considering Langmuir equilibrium porous media, considering Langmuir equilibrium adsorption as well as Langmuir rate-controlled adsorption. The effects of various process parameters on adsorption also were investigated. parameters on adsorption also were investigated. Model Development Transport Equations A chemical transport equation chacterizing dispersion and adsorption of a chemical solution flowing through a porous medium can be derived by a mass balance as follows. 2C q C C 1- CrD ----- - ---- --- = ----- + ---- pr -----.x2 A x t t...................................(1) The dispersion coefficient, D, can be expressed as qD= (---)= u.................................(2)A SPEJ P. 129


1978 ◽  
Author(s):  
M. Fernandez ◽  
M. El Emary ◽  
W.H. Wade ◽  
F.J. Trogus ◽  
R.S. Schechter

2011 ◽  
Vol 312-315 ◽  
pp. 812-817 ◽  
Author(s):  
Laurent Marmoret ◽  
Hassen Beji ◽  
Anne Perwuelz

A glass wool media is commonly classified as a medium made up of many capillaries. They might, however, be considered analogous to a network of tubes as a bundle of capillaries. The capillary pressure of such a medium would be dependent on the amount of fluid held within the bundles. But, this very simple picture of porous media does not capture all the characteristics of this imbibition. We have determined capillaries radii by using Washburn and Laplace relations. Laplace radius can also be obtained by 3 approaches: using White’s relation and using Jurin’s law with visualized height and with weight. We have observed a single value of capillary radius cannot be used to determine the infiltration height as a function of time. This mechanism of capillary infiltration can be controlled by pores of more than one size and pores are interconnected.


1968 ◽  
Vol 8 (04) ◽  
pp. 359-369 ◽  
Author(s):  
L.W. Holm

Abstract This study shows that in the presence of foam, gas and liquid flow separately through porous media representative of reservoir rock. These results were obtained by using tracer techniques to measure the flow of the gas and liquid comprising the foam. Foam does not flow through the porous medium as a body even when the liquid and gas are combined outside the system and injected as foam Instead the liquid and gas forming the foam separate as the foam films break and then re-form in the porous system. Liquid moves through the porous medium via the film network of the bubbles and gas moves progressively through the system by breaking and re-forming bubbles throughout the length of the flow path. The flow rates of the gas and liquid are a function of the number and strength of the films in the porous medium. There is no free flow of gas; i.e., no continuous gas phase. On the basis of these results, foam can be expected to improve a waterflood or gas drive by decreasing the permeability of the reservoir rock to a displacing liquid or gas. This improves the mobility ratio and thus the conformance of the flood. Introduction Foam is formed when gas and a solution of a surface active agent are injected into a porous medium either simultaneously or intermittently. During the past few years, several papers have been published on the subject of foam flow in porous media. Foam has been used successfully in the removal of capillary water blocks from producing formations. The use of foam in gas storage reservoirs to reduce gas leaks and to increase storage capacity has been considered in recent years. Foam has also been investigated as an oil displacing agent, and as an agent to improve the mobility ratio in a waterflood. However, the mechanism by which the gas and liquid phases comprising the foam flow through a porous medium has not been described adequately. Normally, when two immiscible phases (gas and liquid) flow concurrently through a porous medium, each phase follows separate paths or channels. At given saturations of the two phases, a certain number of channels are available to each phase, and as saturations change, the number and configuration of the channels available for each phase also change. The effective permeability of each phase is a function of the saturation of that phase only, and the flow of each phase can be described by Darcy's law. When foam is present, the effective permeability of the porous medium to each phase is greatly reduced compared with permeabilities measured in the absence of foam. Based upon the observed flow of surfactant solutions and gas in capillaries, it has been concluded that the gas and liquid may flow separately or they may flow combined as foam. At least four mechanisms have been postulated to explain how fluids flow with foam present:A large portion of the gas is trapped in the porous medium and a small fraction flows as free gas, following Darcy's law.The foam structure moves as a body; the rate of gas flow is the same as the rate of liquid flow.Gas flows as a discontinuous phase by breaking and re-forming films. Liquid flows as a free phase.A portion of the liquid and gas move as a foam body while excess surfactant solution moves as a free phase. It also has been suggested that different flow mechanisms exist for high quality (dry) foams made from dilute surfactant solutions and for foams made from more concentrated solutions. Studies conducted on the flow of foam through capillaries have shown that a plug-type flow occurs and that foam flows as a body.


2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Zhiyuan Wang ◽  
Zhengming Yang ◽  
Yunhong Ding ◽  
Wei Lin ◽  
Ying He ◽  
...  

Capillary imbibition models have been widely studied in oil and gas development field over the past decades. However, the existing models applied to the tight reservoirs rarely take fluid flow resistance and apparent viscosity into account. To investigate the capillary imbibition characteristics of fluids in tight porous media, a generalized capillary imbibition model considering the flow resistance and apparent viscosity of fluids in tight porous media is derived. By comparing with the results of other capillary imbibition models and experimental data, the derived capillary imbibition model is verified. In addition, compared with the conventional capillary imbibition models, the derived capillary imbibition model is more consistent with the experimental results and has a wider applicability. The imbibition distance of water in tight reservoirs can also be obtained using the derived capillary imbibition model, which will facilitate the study on water injection development in tight oil and gas reservoirs.


Sign in / Sign up

Export Citation Format

Share Document