Simulation of fluid penetration with high density ratio in layered porous media with lattice Boltzmann model by using equations of state

In this study, drop penetration with high density ratio in layered porous medium is simulated with pseudo- potential lattice boltzmann model. Due to inherent weakness of this model in simulation of flows with high density ratio, equations of state as Redlich-Kwong and Peng-Robinson are used. The influence of temperature in surface tension is studied. Some validation is done as comparison of continues curves with theoretical maxwell ones and another two simple tests that their results are according to previous ones. After validation of code with previous works, drop penetration is investigated in layered porous medium which is made of four sections with the same porosity to produce more homogenous porosity. The effect of different factors like porosity, hydrophobicity/ hyrophilicity property of surfaces on the penetration rate and pattern is studied. The results illustrate that by decreasing the porosity, penetration rate would decrease too and in general hydrophilic surface in low porosity increase the penetration rate; Also, the difference of penetration pattern in two situations is illustrated, in hydrophilic situation penetration pattern is cloy and piston – type and in hydrophobic one penetration is like a finger or finger-type. Then, for more investigation of penetration in porous medium and showing the ability of written code, it is improved to simulate two component- two phase flows. After validation, the penetration pattern in different capillary numbers and viscosity ratios, viscous fingering and capillary fingering regimes are observed. At the end, change of penetration pattern by consideration the surface hydrophilic is studied.