A chemical flood model for a three-component (petroleum, water, inject
ed chemical) two-phase (aqueous, oleic) system is presented. It is rul
ed by a system of nonlinear partial differential equations: the contin
uity equation for the transport of each of its components and Darcy's
equation for the two-phase flow. The transport mechanisms considered a
re ultralow interfacial tension, capillary pressure, dispersion, adsor
ption, and partition of the components between the fluid phases (inclu
ding solubilization and swelling). The mathematical model is numerical
ly solved in the one-dimensional case by finite differences using an e
xplicit and direct iterative procedure for the discretization of the c
onservation equations. Numerical results are compared with Yortsos and
Fokas' exact solution for the linear waterflood case including capill
ary pressure effects and with Larson's model for surfactant flooding.
The effects of the above-mentioned transport mechanisms on concentrati
on profiles and on oil recovery are also analyzed.