Nomenclature

Subscripts

w: water phase w: water component
o: oil phase h: heavy component (BO, BIC)
g: gas phase v: volatile component (BO, BIC)
n: time l: external or Newton iteration

Porous medium characteristics

f: porosity
k: absolute permeability tensor
Kij discretized transmissivity between i and j cells
porous volume of the i cell

Fluid characteristics

molar density of the phase p
density of the phase p
viscosity of the phase p
Krp: relative peramability of the phase p
P: reference pressure
Pcp: difference between the reference pressure and the pressure in phase p
Sp: saturation of the phase p
Vp: Darcy velocity of the phase p
Xi: molar fraction of the component i in oil phase
Yi: molar fraction of the component i in the gas phase
Wi: molar fraction of the component i in the water phase
Ac: quantity of component c per volume unit
Nc: number of "hydrocarbon" components
Ncw: number of "hydrocarbon" components that could be in the water phase

The reference pressure P is either the oil pressure in the WOG or WO cases, or the water pressure in the WG case : Pp = P-Pcp