An Adaptable Analytical Ergun-Type Equation For High Porosity Spongelike Porous Media

2010 ◽  
Author(s):  
Sonia Woudberg ◽  
J. Prieur du Plessis ◽  
Kambiz Vafai
Keyword(s):  
Porous Media ◽  
Type Equation ◽  
High Porosity

Experimental and numerical study of catalytic combustion and pore-scale numerical study of mass diffusion in high porosity fibrous porous media

Energy ◽  
2022 ◽  
Vol 238 ◽  
pp. 121831
Author(s):  
Mohammadmehdi Namazi ◽  
Mohammadreza Nayebi ◽  
Amin Isazadeh ◽  
Ali Modarresi ◽  
Iman Ghasemi Marzbali ◽  
...  
Keyword(s):  
Porous Media ◽  
Catalytic Combustion ◽  
Numerical Study ◽  
Mass Diffusion ◽  
High Porosity ◽  
Pore Scale ◽  
Fibrous Porous Media

scholarly journals Numerical Simulation of Two-Phase Flows in Heterogeneous Porous Media

2020 ◽  
Vol 21 (2) ◽  
pp. 339
Author(s):  
I. Carneiro ◽  
M. Borges ◽  
S. Malta
Keyword(s):  
Porous Media ◽  
Oil Recovery ◽  
Flow Behavior ◽  
Water Injection ◽  
Heterogeneous Porous Media ◽  
Flow In Porous Media ◽  
High Porosity ◽  
Two Phase ◽  
Recovery Method ◽  
Porosity And Permeability

In this work,we present three-dimensional numerical simulations of water-oil flow in porous media in order to analyze the influence of the heterogeneities in the porosity and permeability fields and, mainly, their relationships upon the phenomenon known in the literature as viscous fingering. For this, typical scenarios of heterogeneous reservoirs submitted to water injection (secondary recovery method) are considered. The results show that the porosity heterogeneities have a markable influence in the flow behavior when the permeability is closely related with porosity, for example, by the Kozeny-Carman (KC) relation.This kind of positive relation leads to a larger oil recovery, as the areas of high permeability(higher flow velocities) are associated with areas of high porosity (higher volume of pores), causing a delay in the breakthrough time. On the other hand, when both fields (porosity and permeability) are heterogeneous but independent of each other the influence of the porosity heterogeneities is smaller and may be negligible.

Textural control on the quadrature conductivity of porous media

Geophysics ◽  
2016 ◽  
Vol 81 (5) ◽  
pp. E297-E309 ◽  
Author(s):  
Qifei Niu ◽  
Manika Prasad ◽  
André Revil ◽  
Milad Saidian
Keyword(s):  
Experimental Data ◽  
Porous Media ◽  
Specific Surface ◽  
Pore Volume ◽  
Pore Space ◽  
Surface Conductance ◽  
High Porosity ◽  
Textural Parameter ◽  
Clayey Materials ◽  
Low Porosity

Induced polarization (IP) has been broadly used for environmental and hydrogeological applications and in civil engineering. The IP response of a porous medium without metallic particles (described by its quadrature conductivity or its normalized chargeability) is controlled by the interfacial electrochemistry of the electrical double layer and the pore-space geometry. We use the specific surface per unit pore volume normalized by the formation factor (i.e., [Formula: see text]) as the controlling textural parameter for the quadrature conductivity. This relationship is obtained by averaging the surface conductance over the pore volume. A database that contains 76 samples (including porous borosilicate glass, sandstones, and clayey sediments) is used to check the new scaling. In addition to these data, we have conducted new IP measurements on 13 samples from the Middle Bakken Formation corresponding to low-porosity clayey materials. Comparison between the experimental data and our model confirms that the ratio [Formula: see text] is the dominant textural parameter describing the quadrature conductivity [Formula: see text] of a broad range of porous media. The database was also used to test whether the quadrature conductivity depended either on [Formula: see text], or the specific surface area [Formula: see text], or the ratio [Formula: see text] ([Formula: see text] being the connected porosity). Although the quadrature conductivity scales with [Formula: see text] and [Formula: see text] for high-porosity sandstones, these relationships are not appropriate for the low-porosity clayey materials presented in this study. However, experimental data support the dependence of the quadrature conductivity on [Formula: see text], a published relationship obtained through the volume averaging approach.

ON THE DERIVATION OF REYNOLDS-TYPE EQUATION FOR FLOWS THROUGH POROUS MEDIA DUE TO PRESSURE GRADIENTS

2020 ◽  
Vol 23 (12) ◽  
pp. 1137-1151
Author(s):  
G. E. Pires ◽  
Kumbakonam R. Rajagopal ◽  
Juha H. Videman
Keyword(s):  
Porous Media ◽  
Type Equation ◽  
Pressure Gradients ◽  
Flows Through Porous Media

scholarly journals Incompressible flow in granulated porous media with null initial velocity

1998 ◽  
Vol 20 (20) ◽  
pp. 07
Author(s):  
José Luiz Boldrini ◽  
João Paulo Lukaszczyk
Keyword(s):  
Porous Media ◽  
Incompressible Fluid ◽  
Incompressible Flow ◽  
Initial Velocity ◽  
Type Equation ◽  
Existence Of Solution ◽  
Navier Stokes ◽  
Fixed Type

In this work we study a Navier-Stokes type equation which models the flow of a viscous, homogeneous and incompressible fluid in a isotropic granular (non consolidated) porous media. Using point fixed type arguments we obtain conditions for existence of solution for the equation in Hölder's spaces.

scholarly journals Experimental Measurement of Frequency-Dependent Permeability and Streaming Potential of Sandstones

2019 ◽  
Vol 131 (2) ◽  
pp. 333-361 ◽  
Author(s):  
P. W. J. Glover ◽  
R. Peng ◽  
P. Lorinczi ◽  
B. Di
Keyword(s):  
Porous Media ◽  
Elastic Waves ◽  
Fluid Pressure ◽  
Streaming Potential ◽  
Transition Frequency ◽  
High Porosity ◽  
Critical Transition ◽  
Potential Coefficient ◽  
Frequency Dependent ◽  
Dynamic Permeability

Abstract Hydraulic flow, electrical flow and the passage of elastic waves through porous media are all linked by electrokinetic processes. In its simplest form, the passage of elastic waves through the porous medium causes fluid to flow through that medium and that flow gives rise to an electrical streaming potential and electrical counter-current. These processes are frequency-dependent and governed by coupling coefficients which are themselves frequency-dependent. The link between fluid pressure and fluid flow is described by dynamic permeability, which is characterised by the hydraulic coupling coefficient (Chp). The link between fluid pressure and electrical streaming potential is characterised by the streaming potential coefficient (Csp). While the steady-state values of such coefficients are well studied and understood, their frequency dependence is not. Previous work has been confined to unconsolidated and disaggregated materials such as sands, gravels and soils. In this work, we present an apparatus for measuring the hydraulic and streaming potential coefficients of high porosity, high permeability consolidated porous media as a function of frequency. The apparatus operates in the range 1 Hz to 2 kHz with a sample of 10 mm diameter and 5–30 mm in length. The full design and validation of the apparatus are described together with the experimental protocol it uses. Initial data are presented for three samples of Boise sandstone, which present as dispersive media with the critical transition frequency of 918.3 ± 99.4 Hz. The in-phase and in-quadrature components of the measured hydraulic and streaming potential coefficients have been compared to the Debye-type dispersion model as well as theoretical models based on bundles of capillary tubes and porous media. Initial results indicate that the dynamic permeability data present an extremely good fit to the capillary bundle and Debye-type dispersion models, while the streaming potential coefficient presents an extremely good fit to all of the models up to the critical transition frequency, but diverges at higher frequencies. The streaming potential coefficient data are best fitted by the Pride model and its Walker and Glover simplification. Characteristic pore size values calculated from the measured critical transition frequency fell within 1.73% of independent measures of this parameter, while the values calculated directly from the Packard model showed an underestimation by about 12%.

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