Simulation of Particle-Fluid Interaction in Fractal Fractures Based on the Immersed Boundary-Lattice Boltzmann Method

Abstract

In order to reveal the influence of particles on fluid flow characteristics in rough fractures under fluid-solid coupling, a range of fracture systems with varying roughness were generated using the Weierstrass-Mandelbrot function. Fluid-particle interactions in rough fractal fractures were simulated using the immersed boundary-lattice Boltzmann method. In this paper, the effects of fluid viscosity, particle size, particle quantity, fracture fractal dimension, and particle grading composition are studied. Results illustrate that increasing fluid viscosity hinders the movement of particles, resulting in the decreasing of particle velocity. As particle size and particle quantity increase, the particle occupation of the channel area grows larger, which lead to lower permeability of the channel. Increasing fracture fractal dimension surges the curvature of the fluid channel, but permeability has a negative exponential correlation to fractal dimension. With increasing particle grading composition, the blocking effect of particles on fracture flow also increases with increasing particle proportion.

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

“…(5) According to the previous remarks, 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. Therefore, this combination of the implemented numerical techniques is recommended and applied for studying two-phase flows through the channel and porous medium (6) The validation study of two-phase flow through the channel shows that the S-C LBM with employing the MRT-EDM scheme, CS EoS, and the modified forcing scheme with parameter β is efficient and accurate for estimation of the two-phase flow structures and characteristics in pore scales (7) The agreement of the present results obtained for the simulation of two-phase flow through the porous medium at different conditions in comparison with those reported in the literature confirms that the suggested S-C LBM is capable for predicting the 16 Geofluids displacement patterns, the nonwetting phase saturation, and the penetration structure of the invading fluid in porous media applications. The extension of the present method in the three-dimensional framework is straightforward and will be presented in future works…”

“…The lattice Boltzmann method (LBM) is known as a powerful mesoscopic numerical scheme for simulation of the multiphase flows transport through the porous medium [1][2][3][4]. The kinetic nature of the LBM allows to model the phase separation, interparticle interactions, and interfacial phenomena in multiphase flows [5,6]. Due to these favorable features, numerical solution methods based on the multiphase LBM do not need an additional algorithm for tracking or capturing the interfacial dynamics, in contrast with the Navier-Stokesbased flow solvers.…”

Study on influence of geometric characteristics of cracks on HAM coupling transfer and thermal performance of multi-layer cellular concrete wall

“…To reduce the complexity of the calculation, a more direct method is used to quantify and describe the width of the crack in this paper. As shown in Figure 5, 2D and 3D fractures are constructed using Weierstrass-Mandelbrot (W-M) function based on fractal geometry theory (Liu et al, 2020), and porosity e(x, y) of fractures is determined by interpolating W-M function as a function of location (Li et al, 2019).…”