The heterogeneity and anisotropy of the void space of reservoir rocks is an extremely important factor in interpreting data obtained from core material. This is especially true for carbonate reservoirs characterized by significant heterogeneity which is associated with the peculiarities of their genesis. This paper presents the results of numerical simulation of two-phase flows in a three-dimensional binary model of carbonate reservoir void space obtained by using high-resolution X-ray computed tomography. Lattice Boltzmann equations are used to simulate two-phase flows; interface phenomena and wetting effects are described using the color-field gradient method. The calculations were performed at the same injection rate and the same properties of immiscible fluids. A special feature of this work is the study of the displacement coefficient index for the void space model in different fluid filtration directions. The results obtained show that the inhomogeneous topology of the void space has a significant effect on the two-phase filtration process. The values of the displacement coefficient can differ by more than 1,5 times, even when filtering along the same axis but in different directions. The study shows the importance of selecting location for the drilling out of core and filtration direction for petrophysical experiments and their further interpretation.
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