Simulations of Single-Fluid Flow in Porous Media

1998 ◽  
Vol 09 (08) ◽  
pp. 1505-1521 ◽  
Author(s):  
A. Koponen ◽  
M. Kataja ◽  
J. Timonen ◽  
D. Kandhai
Keyword(s):  
Porous Media ◽  
Fluid Flow ◽  
Lattice Gas ◽  
Effective Porosity ◽  
Flow In Porous Media ◽  
Lattice Boltzmann Simulations ◽  
Porosity And Permeability ◽  
Flow Through ◽  
2D And 3D ◽  
Good Agreement

Several results of lattice-gas and lattice-Boltzmann simulations of single-fluid flow in 2D and 3D porous media are discussed. Simulation results for the tortuosity, effective porosity and permeability of a 2D random porous medium are reported. A modified Kozeny–Carman law is suggested, which includes the concept of effective porosity. This law is found to fit well the simulated 2D permeabilities. The results for fluid flow through large 3D random fibre webs are also presented. The simulated permeabilities of these webs are found to be in good agreement with experimental data. The simulations also confirm that, for this kind of materials, permeability depends exponentially on porosity over a large porosity range.

Application of lattice kinetic models with Tsallis entropy in simulating fluid flow through porous media

2017 ◽  
Vol 28 (09) ◽  
pp. 1750110
Author(s):  
Amir Hosseini ◽  
Masoud Iranmanesh ◽  
Ebrahim Jahanshahi Javaran ◽  
Abed Zadehgol
Keyword(s):  
Porous Media ◽  
Fluid Flow ◽  
Lattice Boltzmann Model ◽  
Flow Through Porous Media ◽  
Order Accuracy ◽  
Virtual Particles ◽  
Flow Through ◽  
Entropy Functions ◽  
2D And 3D ◽  
Boltzmann Model

In this work, application of the recently introduced constant speed kinetic model (CSKM) [A. Zadehgol and M. Ashrafizaadeh, J. Comp. Phys. 274 803, (2014); A. Zadehgol, Phys. Rev. E 91, 063311 (2015)] in simulating fluid flow through porous media is explored. Discrete forms of Tsallis and Burg entropy functions were first introduced by Boghosian et al. [Phys. Rev. E [Formula: see text], 025103, (2003)], in the context of lattice Boltzmann model (LBM). In the CSKM, the virtual particles are concentrated on n-dimensional (nD-) spheres centered at the computational nodes. Using continuous forms of the unconventional entropies of Burg, [Formula: see text] (for 2D), and Tsallis, [Formula: see text] (for nD with [Formula: see text]), the CSKM extends the work of Boghosian et al., in the limit of fixed speed continuous velocities. In this work, the second-order accuracy, efficiency, and thermodynamic consistency of the 2D- and 3D-projections of the 4D-CSKM are explored and numerically verified.

scholarly journals Lattice Gas Automata Applications to Estimate Effective Porosity and Permeability Barrier Model of the Triangle with a Height Variation

2020 ◽  
Vol 9 (2) ◽  
pp. 48-54
Author(s):  
Halauddin Halauddin ◽  
Suhendra Suhendra ◽  
Muhammad Isa
Keyword(s):  
Fluid Flow ◽  
Lattice Gas ◽  
Effective Porosity ◽  
Permeability Barrier ◽  
Permeability Model ◽  
Flow Models ◽  
Lattice Gas Automata ◽  
Porosity And Permeability ◽  
Model Lattice ◽  
Barrier Model

Penelitian ini bertujuan untuk menghitung porositas efektif (фeff) dan permeabilitas (k) menggunakan model segitiga dengan variasi tinggi yaitu 3, 4, 5, 6 dan 7 cm. Perhitungan porositas dan permeabilitas yang efektif dilakukan dengan menggunakan model Lattice Gas Automata (LGA), yang diimplementasikan dengan bahasa pemrograman Delphi 7.0. Untuk model segitiga penghalang dengan tinggi 3, 4, 5, 6 dan 7 cm, nilai porositas efektif dan permeabilitas, masing-masing: фeff (T1) = 0,1690, k (T1) = 0 , 001339 pixel2; фeff (T2) = 0,1841, k (T2) = 0,001904 pixel2; фeff (T3) = 0,1885, k (T3) = 0,001904 pixel2; фeff (T4) = 0,1938, k (T4) = 0001925 pixel2; dan фeff (T5) = 0,2053, k (T5) = 0,002400 pixel2. Dari hasil simulasi, diperoleh tinggi segitiga akan berpengaruh signifikan terhadap nilai porositas efektif dan permeabilitas. Pada segitiga lebih tinggi, menyebabkan tabrakan model aliran fluida LGA mengalami lebih banyak hambatan untuk penghalang, sehingga porositas efektif dan permeabilitas menurun. Sebaliknya, jika segitiga lebih rendah, menyebabkan tabrakan model aliran fluida LGA mengalami lebih sedikit hambatan untuk penghalang, sehingga porositas efektif dan permeabilitas meningkat.This  research purposed to calculate the effective porosity (feff) and permeability (k) using the barrier model of the triangle with a high varying are 3, 4, 5, 6 and 7 cm. Effective porosity and permeability calculations performed using the model Lattice Gas Automata (LGA), which is implemented with Delphi 7.0 programming language. For model the barrier triangle with a high of 3, 4, 5, 6 and 7 cm, the value of effective porosity and permeability, respectively: feff(T1)=0,1690, k(T1)=0,001339 pixel2; feff(T2)=0,1841, k(T2)=0,001904 pixel2; feff(T3)=0,1885, k(T3)=0,001904 pixel2; feff(T4)=0,1938, k(T4)= 0001925 pixel2; and feff(T5)=0,2053, k(T5)=0,002400 pixel2. From the simulation results, obtained by the high of the triangle will be a significant effect on the value of effective porosity and permeability. If the triangle highest, causing the collision of fluid flow models LGA experience more obstacles to the barrier, so that the effective porosity and permeability decrease. Conversely, if the triangle lower, causing the collision of fluid flow models LGA experience less obstacles to the barrier, so that the effective porosity and permeability increases.Keywords: Effective porosity, permeability, model triangle, model LGA 

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