  The paper deals with the global Kondaurov double porosity model describing a
non-equilibrium two-phase immiscible flow in fractured-porous reservoirs when
non-equilibrium phenomena occur in the matrix blocks, only. It is shown that
the homogenized model can be represented as usual equations of two-phase
incompressible immiscible flow, except for the addition of two source terms
calculated by a solution to a local problem which is a boundary value problem
for a non-equilibrium imbibition equation given in terms of the real saturation
and a non-equilibrium parameter.
