Study on Liquid-Liquid Spontaneous Imbibition Dynamics in Bifurcated Channels

doi:10.19596/j.cnki.1001-246x.8330

Abstract

Abstract:

We investigated spontaneous imbibition behavior in a basic bifurcated channel. The rupture and convergence of the two-phase interface in a bifurcated channel is strongly unsteady, which is hard to be described accurately with classical theories and conventional numerical calculation methods. An improved two-component pseudopotential lattice Boltzmann method was employed in simulating the unsteady spontaneous process. It shows that the width of inlet/outlet channel controls the competitive imbibition behavior in the bifurcated channel. Whereas the viscosity ratio between the wetting phase and the non-wetting phase controls the overall spontaneous imbibition behavior. The results provide a basis for quantitative characterization of spontaneous imbibition in complex pore structures.

Key words: spontaneous imbibition, capillary pressure, two-phase flow, porous media, lattice Boltzmann method

CLC Number:

P313.1

Jiangtao ZHENG, Ninghong JIA, Huifang HU, Yong YANG, Yang JU, Moran WANG. Study on Liquid-Liquid Spontaneous Imbibition Dynamics in Bifurcated Channels[J]. Chinese Journal of Computational Physics, 2021, 38(5): 543-554.

Figures/Tables 13

Fig.1 Calculation of surface tension

Fig.2 Calculation of contact angle

Fig.3 2D straight channel capillary rise model

Fig.4 Validation of the SC-LBM in simulating spontaneous imbibition

Fig.5 Bifurcation capillary rise model

Table 1 Parameters used in the SC-LBM simulation

G	τ^k	τ	ρ^k	ρ^{${\rm{\bar k}}$}	β
3.6	0.6	0.6	0.97	0.97	-0.25

Fig.6 Influence of width of inlet/outlet channel (H) on spontaneous imbibition behavior

Fig.7 Spontaneous imbibition velocity in the inlet channel, small channel, big channel, and outlet channel

Fig.8 Capillary pressure and pressure difference in the inlet channel, small channel, big channel, and outlet channel

Table 2 Parameters used in the SC-LBM simulation of different viscosity ratio cases

G	τ^k	τ^{${\rm{\bar k}}$}	ρ^k	ρ^{${\rm{\bar k}}$}	β
3.6	0.8	30.5, 3.5, 0.8, 0.53, 0.503	0.97	0.97	-0.25

Fig.9 Influence of viscosity ratio (M) on the spontaneous imbibition behavior

Fig.10 Spontaneous imbibition velocity in the inlet channel, small channel, big channel, and outlet channel

Fig.11 Capillary pressure and pressure difference in the inlet channel, small channel, big channel, and outlet channel

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