Lattice Boltzmann simulation and mesoscopic mechanism analysis of permeability in soil-rock mixtures

Numerical Study on Permeability of Reconstructed Porous Concrete Based on Lattice Boltzmann Method

“…The permeability or permeation coefficient of concrete can generally be calculated using Darcy's law [26]. In this research, permeability is used to characterize the ability of water to pass through the pores within porous concrete, and it is specifically expressed as follows: K = uLµ p in − p out (5) where K represents the permeability; u is the average flow velocity; L is the length of the flow path; µ is the dynamic viscosity of the fluid; and p in and p out are the water pressures at the inlet and outlet, respectively.…”

“…The permeability or permeation coefficient of concrete can generally be calculated using Darcy's law [26]. In this research, permeability is used to characterize the ability of water to pass through the pores within porous concrete, and it is specifically expressed as follows:…”

“…A grid region of 100 lattice units in length (L) and 50 lattice units in diameter (D) was selected as the 3D validation calculation model. All parameters in this model were expressed in dimensionless lattice units [26,30,31], and the boundary condition treatments remained consistent with those previously mentioned. Specific calculation parameters are provided in Table 1.…”

“…The derivation of the N-S equations from the fundamental LBE model reflects the interplay among macroscopic parameters such as density, velocity, pressure, and viscosity coefficient with the dimensionless relaxation time [25]. For detailed relationships and theoretical underpinnings, reference can be made to the literature [26]. Additionally, related studies [27] have shown that the variation pattern between lattice units and actual physical units is completely consistent.…”

“…To verify the accuracy of the LBM numerical approach, a Poiseuille flow test was conducted on a self-compiled program [26,29]. A grid region of 100 lattice units in length (L) and 50 lattice units in diameter (D) was selected as the 3D validation calculation model.…”