... where μ o and μ w are the oil and water viscosities respectively, μ is the oil-water viscosity ratio, and k ro is the oil relative permeability. We can express the fractional flow at the wellbore in terms of the relative permeability functions, which allows including the effects...

... advection velocity numerical solution precision Oil Recovery permeability LSWF dispersion weighting function fractional flow instability effective salinity range Péclet number relative permeability curve Introduction The input relative permeability curves are also shown in Fig.1...

... ( t o t a l @ b t ) − W i d ( b t ) The reservoir fractional flow f we was generated from the surface water cut, f ws (taking into account the oil shrinkage), as follows: (7) f w e = 1 1 + B o B w ( 1 f w s − 1...

... injected gas and reservoir fluids. In this study, models were constructed to investigate the mechanisms of foam displacement in porous media using three-phase fractional flow theory and ternary diagrams. The strength of foam in the presence of oil was accounted for by using a mobility reduction factor (MRF...

..., mixing between fluids that enter different streamlines occurs, and splitting does not happen any more. equation isotherm value problem sequence hyperbolic system auxiliary system riemann problem fractional flow upstream oil & gas auxiliary solution initial-boundary value problem...

.... saturation critical velocity net overburden pressure reservoir rock determination interstitial velocity gravel pack porosity reservoir characterization phase flow permeability upstream oil & gas fractional flow strength pressure drop compaction wettability sand failure fine movement...