BARBOSA, E. S.; http://lattes.cnpq.br/0836077322322032; BARBOSA, Enivaldo Santos.
Résumé:
This assignment says respeet to modeling and simulation of the recovery process
of oil in a petroliferous reservoir, in which the model of arrangements of injection
wells and production wells of five-spot was used, being the mesh base formed by
a square with a producing well in the center and the remain in the vértices of the
same. In this study, it was considered that the distribution of the absolute permeability
in 1/4 (a quarter) of this mesh was equal to the others 3/4 (three fourths).
The mathematical modeling used to describe the two-phase flow (water-oil) through
a porous way with geologic heterogeneity is correspondent to a modification in the
model used by WENDLAND et al. (2001), in which, basically, it separates the equation
of advection and diffusion in a hyperbolic part and in a parabolic one. The
differential equations that compose the model were discrete by the method of finite
volumes and the systems of resultant equations were solved with assistance of an
explicit scheme for the hyperbolic part and the ADI method (Alternating Direction
Implicit) for the parabolic part, both being executed in a computational program
developed in MatLab. Three distinct situations of distribution of the permeability
of the petroliferous reservoir were evaluated: the first one with uniform permeability;
the second one constituted of two different regions of permeability, being it a
shaped square region and located in the center of the reservoir and, finally, the third
situation in which was defined a permeability of the random rock varying between
l,0.10-12m2 the l,0.10~8m2. The results presented demonstrate the applicability
of the considered method and also demonstrated to be capable to foreseeing the
water advance in the petroliferous reservoir in those distinct evaluated situations. In
special, in the case of the fortuitous distribution of the absolute permeability of the
rock reservoir, in which was evidenced the presence of the imprisoned residual oil in
the regions of low permeabilities, and as consequences they affect in the curves of
accumulated production.