scholarly journals An adaptive lattice Boltzmann scheme for modeling two-fluid-phase flow in porous medium systems

2016 ◽  
Vol 52 (4) ◽  
pp. 2601-2617 ◽  
Author(s):  
Amanda L. Dye ◽  
James E. McClure ◽  
David Adalsteinsson ◽  
Cass T. Miller
Keyword(s):  
Porous Medium ◽  
Lattice Boltzmann ◽  
Fluid Phase ◽  
Phase Flow ◽  
Lattice Boltzmann Scheme ◽  
Two Fluid

Effect of the Wettability on Two-Phase Flow Inside Porous Medium at Nanoscale: Lattice Boltzmann Simulations

2017 ◽  
Vol 17 (9) ◽  
pp. 6620-6625
Author(s):  
Daliang He ◽  
Yakang Jin ◽  
Qingzhong Xue ◽  
Xuefeng Liu ◽  
Shuangfang Lu
Keyword(s):  
Porous Medium ◽  
Lattice Boltzmann ◽  
Two Phase Flow ◽  
Phase Flow ◽  
Two Phase ◽  
Lattice Boltzmann Simulations

Two-Dimensional Simulation of Magnetohydrodynamic Two-Phase Flow in Random Porous Media Using the Lattice Boltzmann Method

2010 ◽  
Author(s):  
Mahshid Hadavand ◽  
Aydin Nabovati ◽  
Antonio C. M. Sousa
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Phase Flow ◽  
Two Dimensional ◽  
Two Phase ◽  
Single Relaxation Time ◽  
Boltzmann Method ◽  
The Magnetic Field

The present work employs the single relaxation time lattice Boltzmann method along with the pseudo potential model for the two-phase flow simulation of a ferrofluid in a random two-dimensional medium under the influence of a spatially variable external magnetic field. The magnetic field is created and controlled by placing a permanent magnet at the outlet end of the channel filled with a porous medium. The magnitude of the magnetic force acting on the ferrofluid is controlled by changing the distance of the magnet from the channel outlet. The spatially variable magnetic field strength was analytically calculated inside the channel using the available relations in the literature. The main goal of the present work is to qualitatively study the applicability of the single relaxation time (SRT) lattice Boltzmann method (LBM) to modelling flow of a ferrofluid and its steering into porous media. Penetration of the ferrofluid into the porous medium, which is initially filled with a fluid with no magnetic properties, was simulated in time. The simulation results for the flow front are presented and the effect of the magnetic field strength on the rate of flow penetration and front advancement was studied qualitatively. The LBM has proved to be a powerful tool for modelling flows, which involve multi-physics in complex geometries, when mesoscopic inter-particle forces and interaction with external complex forces have to be determined.

scholarly journals On the dynamics and kinematics of two‐fluid‐phase flow in porous media

2015 ◽  
Vol 51 (7) ◽  
pp. 5365-5381 ◽  
Author(s):  
W. G. Gray ◽  
A. L. Dye ◽  
J. E. McClure ◽  
L. J. Pyrak‐Nolte ◽  
C. T. Miller
Keyword(s):  
Porous Media ◽  
Fluid Phase ◽  
Flow In Porous Media ◽  
Phase Flow ◽  
Two Fluid

scholarly journals A Pseudopotential Lattice Boltzmann Method for Simulation of Two-Phase Flow Transport in Porous Medium at High-Density and High–Viscosity Ratios

Geofluids ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-18
Author(s):  
Eslam Ezzatneshan ◽  
Reza Goharimehr
Keyword(s):  
Porous Medium ◽  
Relaxation Time ◽  
Lattice Boltzmann ◽  
Two Phase Flow ◽  
High Viscosity ◽  
High Density ◽  
Phase Flow ◽  
Two Phase ◽  
Flow Transport ◽  
Boltzmann Method

In this work, the capability of a multiphase lattice Boltzmann method (LBM) based on the pseudopotential Shan-Chen (S-C) model is investigated for simulation of two-phase flows through porous media at high-density and high–viscosity ratios. The accuracy and robustness of the S-C LBM are examined by the implementation of the single relaxation time (SRT) and multiple relaxation time (MRT) collision operators with integrating the forcing schemes of the shifted velocity method (SVM) and the exact difference method (EDM). Herein, two equations of state (EoS), namely, the standard Shan-Chen (SC) EoS and Carnahan-Starling (CS) EoS, are implemented to assay the performance of the numerical technique employed for simulation of two-phase flows at high-density ratios. An appropriate modification in the forcing schemes is also used to remove the thermodynamic inconsistency in the simulation of two-phase flow problems studied at low reduced temperatures. The comparative study of these improvements of the S-C LBM is performed by considering an equilibrium state of a droplet suspended in the vapor phase. The solver is validated against the analytical coexistence curve for the liquid-vapor system and the surface tension estimation from the Laplace Law. Then, according to the results obtained, a conclusion has been made to choose an efficient numerical algorithm, including an appropriate collision operator, a realistic EoS, and an accurate forcing scheme, for simulation of multiphase flow transport through a porous medium. The patterns of two-phase flow transport through the porous medium are predicted using the present numerical scheme in different flow conditions defined by the capillary number and the dynamic viscosity ratio. The results obtained for the nonwetting phase saturation, penetration structure of the invading fluid, and the displacement patterns of two-phase flow in the porous medium are comparable with those reported in the literature. The present study demonstrates that the S-C LBM with employing the MRT-EDM scheme, CS EoS, and the modified forcing scheme is efficient and accurate for estimation of the two-phase flow characteristics through the porous medium.

scholarly journals Tracking interface and common curve dynamics for two-fluid flow in porous media

2016 ◽  
Vol 796 ◽  
pp. 211-232 ◽  
Author(s):  
J. E. McClure ◽  
M. A. Berrill ◽  
W. G. Gray ◽  
C. T. Miller
Keyword(s):  
Porous Media ◽  
Fluid Phase ◽  
Dynamic Contact ◽  
Contact Angles ◽  
Flow In Porous Media ◽  
Fluid Interfaces ◽  
Phase Flow ◽  
The Common ◽  
Spurious Currents ◽  
Two Fluid

The movements of fluid–fluid interfaces and the common curve are an important aspect of two-fluid-phase flow through porous media. The focus of this work is to develop, apply and evaluate methods to simulate two-fluid-phase flow in porous medium systems at the microscale and to demonstrate how these results can be used to support evolving macroscale models. Of particular concern is the problem of spurious velocities that confound the accurate representation of interfacial dynamics in such systems. To circumvent this problem, a combined level-set and lattice-Boltzmann method is advanced to simulate and track the dynamics of the fluid–fluid interface and of the common curve during simulations of two-fluid-phase flow in porous media. We demonstrate that the interface and common curve velocities can be determined accurately, even when spurious currents are generated in the vicinity of interfaces. Static and dynamic contact angles are computed and shown to agree with existing slip models. A resolution study is presented for dynamic drainage and imbibition in a sphere pack, demonstrating the sensitivity of averaged quantities to resolution.

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