Instability and mixing flux in frontal displacement of viscous fluids from porous media

2005 ◽  
Vol 17 (8) ◽  
pp. 084102 ◽  
Author(s):  
N. N. Smirnov ◽  
V. F. Nikitin ◽  
A. Maximenko ◽  
M. Thiercelin ◽  
J. C. Legros
2005 ◽  
Vol 40 (1) ◽  
pp. 110-116
Author(s):  
N. A. Baryshnikov ◽  
G. V. Belyaev ◽  
S. B. Turuntaev

Author(s):  
F. Pérez-Ràfols ◽  
P. Wall ◽  
A. Almqvist

In this paper, we study flow through thin porous media as in, e.g. seals or fractures. It is often useful to know the permeability of such systems. In the context of incompressible and iso-viscous fluids, the permeability is the constant of proportionality relating the total flow through the media to the pressure drop. In this work, we show that it is also relevant to define a constant permeability when compressible and/or piezo-viscous fluids are considered. More precisely, we show that the corresponding nonlinear equation describing the flow of any compressible and piezo-viscous fluid can be transformed into a single linear equation. Indeed, this linear equation is the same as the one describing the flow of an incompressible and iso-viscous fluid. By this transformation, the total flow can be expressed as the product of the permeability and a nonlinear function of pressure, which represents a generalized pressure drop.


Author(s):  
Shabina Ashraf ◽  
Jyoti Phirani

Abstract Capillary impregnation of viscous fluids in porous media is useful in diagnostics, design of lab-on-chip devices and enhanced oil recovery. The impregnation of a wetting fluid in a homogeneous porous medium follows Washburn’s diffusive law. The diffusive dynamics predicts that, with the increase in permeability, the rate of spontaneous imbibition of a wetting fluid also increases. As most of the naturally occurring porous media are composed of hydrodynamically interacting layers having different properties, the impregnation in a heterogeneous porous medium is significantly different from a homogeneous porous medium. A Washburn like model has been developed in the past to predict the imbibition behavior in the layers for a hydrodynamically interacting three layered porous medium filled with a non-viscous resident phase. It was observed that the relative placement of the layers impacts the imbibition phenomena significantly. In this work, we develop a quasi one-dimensional lubrication approximation to predict the imbibition dynamics in a hydrodynamically interacting multi-layered porous medium. The generalized model shows that the arrangement of layers strongly affects the saturation of wetting phase in the porous medium, which is crucial for oil recovery and in microfluidic applications.


1969 ◽  
Vol 47 (2) ◽  
pp. 209-214 ◽  
Author(s):  
A. E. Scheidegger

A general discussion is presented of the possibility of the development of a steady state in frontal displacement processes with and without "fingers" in porous media. It is shown that, based on the theories available to date, such displacement processes always appear to be unstable; i.e., the "length" of the "front" over which the transition from the displaced fluid to the displacing one occurs, grows indefinitely.


Author(s):  
N.N. Smirnov ◽  
V.R. Dushin ◽  
V.F. Nikitin ◽  
O.E. Ivashnyov ◽  
O. Logvinov ◽  
...  

Author(s):  
M. A. Rahman ◽  
S. Butt ◽  
J. M. Alam ◽  
M. Shahwan ◽  
M. Hunt ◽  
...  

In this study an experimental work is conducted to investigate the shape and speed of an air bubble in a pipe filled with different viscous fluids and porous media. The experimental results are also compared with the Computational Fluid Dynamics (CFD) simulation. Multiphase flows are complex due to the infinitely deformable nature of interface in gas/liquid flows. If one of the phases is gas acts as dispersed phase in the form of bubble, then the complexity will arise from the non-uniform distribution of bubbles in the pipe cross-section and axial distance. Inclusion of different viscous fluids simulating the industrial scale hydrocarbon properties brings added challenge in understating the bubble rise, coalescence and breakup dynamics. Moreover, bubble rise and change of shape of bubble in porous media will bring additional complexity in the flow dynamics. The pipe used in the experiment and CFD was 11.6 cm ID and a length of 100 cm. Three situations were tested: i) an air bubble rising in stagnant water, ii) an air bubble rising in moving water, and iii) an air bubble rising in a stagnant water but filled with porous media with porosity of 27%. Preliminary CFD results indicate that an air bubble has an average velocity of 0.2468 m/s and 0.2524 m/s in stagnant water and moving water, respectively, which is very close to experimental results.


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