  The impact of wettability on the co-moving velocity of two-fluid flow in
porous media is analyzed herein. The co-moving velocity, developed by Roy et
al. (2022), is a novel representation of the flow behavior of two fluids
through porous media. Our study aims to better understand the behavior of the
co-moving velocity by analyzing simulation data under various wetting
conditions. The simulations were conducted using the Lattice-Boltzmann
color-fluid model and evaluated the relative permeability for different wetting
conditions on the same rock. The analysis of the simulation data followed the
methodology proposed by Roy et al. (2022) to reconstruct a constitutive
equation for the co-moving velocity. Surprisingly, it was found that the
coefficients of the constitutive equation were nearly the same for all wetting
conditions. Based on these results, a simple approach was proposed to
reconstruct the oil phase relative permeability using only the co-moving
velocity relationship and water phase relative permeability. This proposed
method provides new insights into the dependency of relative permeability
curves, which has implications for the history matching of production data and
solving the associated inverse problem. The research findings contribute to a
better understanding of the impact of wettability on fluid flow in porous media
and provide a practical approach for estimating relative permeability based on
the co-moving velocity relationship, which has never been shown before.
