Begell House Inc.
Journal of Porous Media
JPM
1091-028X
14
2
2011
THE INFLUENCE OF PORE GEOMETRY ON FLOW INSTABILITY AND PORE-SCALE DISPLACEMENT MECHANISMS OF DILUTE SURFACTANT FLOODING IN MIXED-WET POROUS MEDIA
91-105
10.1615/JPorMedia.v14.i2.10
Benyamin Yadali
Jamaloei
Department of Chemical and Petroleum Engineering, Schulich School of Engineering, University of Calgary, Calgary, AB, Canada; and Petroleum Research Center, Petroleum University of Technology, Ghasemizadian St., South Khosrow Ave., Tehran, Iran
Riyaz
Kharrat
Petroleum University of Technology, Petroleum Research Center, Tehran, Iran
surfactant flooding
heavy oil recovery
pore geometry
displacement mechanisms
viscous fingering
capillary number
low-interfacial tension flow
adverse mobility ratio
In this study, the influence of pore throat size on microscopic physical displacement mechanisms and the pore-scale flow instability of low interfacial tension two-phase flow in dilute surfactant flooding have been examined in a micromodel, which enabled us to visually investigate the microscale physicochemical interactions. The results indicated that the occurrence of the dispersivity in the flow pattern becomes severe after surfactant solution breakthrough. By decreasing the pore throat size (i.e., increasing the value of the capillary number), the macroscopic flow pattern developed in a less dispersed fashion and the instability of the flow pattern decreased, whereby the localized oil entrainment and bypassing are relatively reduced. The dominant microscopic mechanisms visualized in the model with the largest pore throat size were pore-to-pore hopping and pore-to-pore transfer. In the model with relatively intermediate pore throat size, continuous configuration of the surfactant solution was maintained over many pore throats and bodies, which allowed it to be transported over many pores resulting in the spotted configuration of the surfactant solution (due to oil entrainment and surfactant partitioning). Pore-scale discontinuous flow of surfactant solution was the major mechanism in the model with the smallest pore throat size. For the employed range of pore throat size, ultimate oil recovery and capillary number increased by decreasing the pore throat size.
MODELING OF CEMENT SUSPENSION FLOWIN FINE SANDS IN THE PRESENCE OF PARTICLE FILTRATION
107-125
10.1615/JPorMedia.v14.i2.20
Fatiha
Bouchelaghem
Laboratory of Mechanics and Technology, University Pierre and Marie Curie, ENS Cachan, France
cement filtration
fine sands
multi-scale modeling
evolving microstructure
finite-element method
experimental validation
Fluid flow and transport of cement particles in a liquid through fine sand columns are studied by assuming that the heterogeneous medium composed of the initial granular skeleton, filtered cement and the interstitial fluid phase can be replaced by a continuous equivalent medium at the macroscopic level. Consequently, the method of homogenization for periodic structures (HPS) is used to identify the effective permeability tensor evolution under the effect of cement filtration. The expression of the macroscopic permeability tensor derived through the HPS procedure is shown to depend on the permeating fluid viscosity and the geometrical arrangement of the sand grains and cement deposit within the microstructure. Numerical computations are made using various three-dimensional microstructures, and the model results are confronted with one-dimensional filtration experiments performed on small-scale columns in the laboratory.
GAS/SOLID HEAT TRANSFERS IN GAS FLOWS UNDER KLINKENBERG CONDITIONS: COMPARISON BETWEEN THE HOMOGENIZATION AND THE KINETIC APPROACHES
127-148
10.1615/JPorMedia.v14.i2.30
Vincent
Pavan
Institut des Systèmes Thermiques Industriels, 13453 Marseille cedex 13, France
Juliette
Chastanet
Institut de Mécanique des Fluides de Toulouse, 31400 Toulouse, France
klinkenberg
homogenization
kinetic theory
local thermal equilibrium
In this paper, we study the heat equation of gas flows in microporous media and its consequences on permeability using two different methods. The first one, relying on a homogenization approach, comes from the energy point of view the theory involving the study of slipping effects in porous media. The second one rests on the kinetic theory and extends previous work done on the Klinkenberg effect. First, we prove that these two approaches lead to the same basic intuitive conclusion on the local behavior of the gas in micro-porous media, that is: the local thermal equilibrium between fluid and solid. Then, we develop the consequences of such a result on the gas flow permeability of the medium.
SIMULATION OF LONG-TERM FATE OF CO2 IN THE SAND OF UTSIRA
149-166
10.1615/JPorMedia.v14.i2.40
Sanjay Kumar
Khattri
Stord Haugesund University College, 0614 Oslo, Norway
G. E.
Fladmark
Department of Mathematics, The University of Bergen, 5020 Bergen, Norway
H.
Hellevang
Department of Physics & Technology, The University of Bergen, 5020 Bergen, Norway
Bjorn
Kvamme
Department of Physics and Technology, University of Bergen, N-5007 Bergen, Norway
CO2 sequestration/deposition
Utsira formation
compositional simulation
multi-phase flow
multi-component flow
porous media
reactive transport
Carbon dioxide (CO2) released during fossil fuel consumption is a major source of greenhouse gases. Geological storage of CO2 is a strategy to reduce emissions of CO2 into the atmosphere. For the success of safe deposition of CO2 into geological formations, understanding the detailed behavior of CO2 dynamics is necessary. For this purpose, we have developed a reactive fluid flow and geochemical transport numerical model for predicting long-term disposal of green house gases in geological formations. The model is based on a compositional reservoir simulator in which mineral and chemical reactions are integrated. The model consists of 15 chemical species and 16 mineral species. In this work, we present mathematical models and their discretization for capturing major physical processes associated with CO2 sequestration/deposition in a porous medium. We verify our simulator by comparing our results with available results. We also simulated two scenarios with and without regional flow. We analyze the impact of fluid movement on long-term CO2 migration at the Utsira formation. Here, we analyze how flow of medium fluids affects important parameters such as the pH and CO2 saturation. The input data for the simulations have a similarity with the CO2 storage facility at the Sleipner Vest field in the Norwegian sector of the North Sea: for example, injection rate, injection period, properties of sand, and shale layers.
MATHEMATICAL MODELING OF A PACKED BED DRYING WITH HUMID AIR AND SUPERHEATED STEAM
169-177
10.1615/JPorMedia.v14.i2.50
Souad
Messai
Laboratoire d'Energétique et des Transferts Thermiques et Massiques, Faculté des Sciences de Tunis, Campus Universitaire 1060, Tunis, Tunisie
Jalila
Sghaier
Département d'Energétique, Ecole Nationale d'Ingénieurs de Monastir, Avenue Ibn Eljazzar, 5019 Monastir, Tunisie
Ali
Belghith
Faculte des Sciences de Tunis, Laboratoire des Transferts de Chaleur et de Masse, Campus Universitaire, 1060 Tunis, Tunisia
superheated steam drying
humid air drying
porous particle
fixed bed
mass flux
finite volume
inversion temperature
A one-dimensional mathematical model describing heat and mass transfer during the drying of a packed bed of porous particles with superheated steam and humid air has been developed. This model is based on the scale-changing approach. During superheated steam drying, the expression of mass flux is based on the resolution of the single-particle model: new correlations of different drying parameters are determined, whereas in the case of humid air drying the expression of mass flux is deduced from the literature. The numerical resolution of macroscopic equations describing heat and mass transfer during the drying of a packed bed is carried out by the finite-volume method. Experimental data for spherical porous alumina particles reported in the literature were used for the validation of the model. When comparing superheated steam and humid air drying processes, a temperature has been determined at which the drying rates during these two processes are equal. This temperature is called the inversion temperature. The latter is about 418 K for corn.
EFFECT OF COUPLE STRESSES ON THE STEADY FLOWOF A SECOND GRADE FLUID THROUGH THE POROUS MEDIUM
179-186
10.1615/JPorMedia.v14.i2.60
Muhammad
Sajid
Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan
second grade fluid
couple stresses
porous plate
porous medium
suction flow
differential transform method
The purpose of the present paper is to investigate the effect of couple stresses on the flow of a second grade fluid past an infinite porous plate and through a porous medium. The governing equations are modeled using the modified Darcy’s law for a second grade fluid. The equation governing the flow is solved by the differential transform method in combination with the method of superposition. The results are graphically displayed and the effect of couple stresses are discussed through the variations of the couple stress parameter. The influence of suction velocity, porosity parameter, and second grade parameter on the velocity is also analyzed.