Fluid flow with multiphase components is one of the daily problems that interesting to learn and widely used in various fields, one of them in rock physics. Euler approach and Lagrange approach, the two models are applied to study the fluid flow, which often known as the microscopic and macroscopic approaches. Lattice Boltzmann Method combines the advantages and appropriate of both approaches, that is used as a more efficient model approach, also known as mesoscopic. The LB method has been used to model the two-phase fluid flow with different viscosities using the Shan-Chen model, this model explain the interaction between two different fluid phases. Validated numerical models compiled using two ways, namely analytical models and physical models. Based on this research, numerical models are designed to meet the analytical model with an error on the lattice at the edge of the lattice. When compared with physical models, numerical models have qualitatively suitability. Based on the results of the validation of numerical models, modeling is done to the image of porous rock which gives the results of multiphase fluid flow profile inside the pore. Moreover, the results obtained indicate that there are effective pores that fluid can not be drained.

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