scholarly journals Interfaces determined by capillarity and gravity in a two-dimensional porous medium

2016 ◽  
Vol 18 (3) ◽  
pp. 355-391
Author(s):  
Maria Calle ◽  
Carlota Maria Cuesta ◽  
Juan Velázquez
Keyword(s):  
Porous Medium ◽  
Two Dimensional

Analysis of two-dimensional solute transport through heterogeneous porous medium

2018 ◽  
Vol 2 (3) ◽  
Author(s):  
Atul Kumar ◽  
◽  
Lav Kush Kumar ◽  
Shireen Shireen ◽  
◽  
...  
Keyword(s):  
Porous Medium ◽  
Solute Transport ◽  
Two Dimensional ◽  
Heterogeneous Porous Medium

Calculation of two-dimensional dispersion in a gas in unsteady flow in a porous medium

1983 ◽  
Vol 17 (5) ◽  
pp. 704-710
Author(s):  
E. G. Basanskii ◽  
V. M. Kolobashkin ◽  
N. A. Kudryashov
Keyword(s):  
Porous Medium ◽  
Unsteady Flow ◽  
Two Dimensional

Unstable Oil Displacement by Water in a Two-Dimensional Porous Medium

1996 ◽  
Author(s):  
J. Cruz-Hernandez ◽  
C. Perez-Rosales ◽  
F. Samaniego-V.
Keyword(s):  
Porous Medium ◽  
Two Dimensional ◽  
Oil Displacement

Two-dimensional filtration problem for solutions in a nonhomogeneous porous medium

2009 ◽  
Vol 20 (2) ◽  
pp. 122-143
Author(s):  
V. I. Dmitriev ◽  
A A. Kantsel’ ◽  
E. S. Kurkina ◽  
N. V. Peskov
Keyword(s):  
Porous Medium ◽  
Two Dimensional ◽  
Filtration Problem

scholarly journals Predicting porosity, permeability, and tortuosity of porous media from images by deep learning

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Krzysztof M. Graczyk ◽  
Maciej Matyka
Keyword(s):  
Neural Networks ◽  
Porous Medium ◽  
Porous Media ◽  
Deep Learning ◽  
Lattice Boltzmann ◽  
Good Accuracy ◽  
Two Dimensional ◽  
Empirical Estimate ◽  
Flow Through ◽  
Boltzmann Method

AbstractConvolutional neural networks (CNN) are utilized to encode the relation between initial configurations of obstacles and three fundamental quantities in porous media: porosity ($$\varphi$$ φ ), permeability (k), and tortuosity (T). The two-dimensional systems with obstacles are considered. The fluid flow through a porous medium is simulated with the lattice Boltzmann method. The analysis has been performed for the systems with $$\varphi \in (0.37,0.99)$$ φ ∈ ( 0.37 , 0.99 ) which covers five orders of magnitude a span for permeability $$k \in (0.78, 2.1\times 10^5)$$ k ∈ ( 0.78 , 2.1 × 10 5 ) and tortuosity $$T \in (1.03,2.74)$$ T ∈ ( 1.03 , 2.74 ) . It is shown that the CNNs can be used to predict the porosity, permeability, and tortuosity with good accuracy. With the usage of the CNN models, the relation between T and $$\varphi$$ φ has been obtained and compared with the empirical estimate.

Interface scaling in a two-dimensional porous medium under combined viscous, gravity, and capillary effects

2002 ◽  
Vol 66 (5) ◽  
Author(s):  
Yves Méheust ◽  
Grunde Løvoll ◽  
Knut Jørgen Måløy ◽  
Jean Schmittbuhl
Keyword(s):  
Porous Medium ◽  
Two Dimensional ◽  
Capillary Effects

Nonlinear two-dimensional potential based study of coupled heat and mass transfer in a porous medium

2006 ◽  
Vol 95 (1-3) ◽  
pp. 241-247 ◽  
Author(s):  
S.M. Prabhu ◽  
Soundarajan Krishnan
Keyword(s):  
Mass Transfer ◽  
Porous Medium ◽  
Heat And Mass Transfer ◽  
Two Dimensional

scholarly journals Pore-scale simulation of biomass growth along the transverse mixing zone of a model two-dimensional porous medium

2005 ◽  
Vol 41 (7) ◽  
Author(s):  
C. E. Knutson ◽  
C. J. Werth ◽  
A. J. Valocchi
Keyword(s):  
Porous Medium ◽  
Biomass Growth ◽  
Two Dimensional ◽  
Mixing Zone ◽  
Pore Scale ◽  
Transverse Mixing

Lattice Boltzmann Simulations for Thermal Conductivity Estimation in Heterogeneous Materials

2009 ◽  
Vol 283-286 ◽  
pp. 364-369 ◽  
Author(s):  
M.R. Arab ◽  
Bernard Pateyron ◽  
Mohammed El Ganaoui ◽  
Nicolas Calvé
Keyword(s):  
Thermal Conductivity ◽  
Porous Medium ◽  
Lattice Boltzmann ◽  
Numerical Study ◽  
Theoretical Models ◽  
Short Description ◽  
Physical Parameters ◽  
Two Dimensional ◽  
Lattice Boltzmann Simulations ◽  
Boltzmann Method

For simulating flows in a porous medium, a numerical tool based on the Lattice Boltzmann Method (LBM) is developed with regards to the classical D2Q9 model. A short description of this model is presented. This technique, applied to two-dimensional configurations, indicates its ability to simulate phenomena of heat and mass transfer. The numerical study is extended to estimate physical parameters that characterize porous materials, like the so-called Effective Thermal Conductivity (ETC) which is of our interest in this paper. Obtained results are compared with those which could be found analytically and by theoretical models. Finally, a porous medium is considered to find its ETC.

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