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\title{
\Large{\bf Stochastic Computational Modeling of Reservoir
Compaction Due to Fluid Withdrawal} }
\author{Diego G.\ Frias \\
ADDRESS and E-MAIL \\ \\
M\'arcio A.\ Murad \\
ADDRESS and E-MAIL \\ \\
Felipe Pereira \\
ADDRESS and E-MAIL
\\
\\
\\
\underbar{ABSTRACT}
}
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The compaction of poroelastic heterogeneous
reservoirs during oil production in the primary stage
is investigated within the framework of stochastic computational
modeling.
The impact of reservoir heterogeneity upon the magnitude of the
stresses induced in the solid matrix due to
reservoir consolidation and surface subsidence is analyzed.
By performing an ensemble average
over realizations of a log normal distribution
of the permeability coefficient,
we show that for a fixed discharge
prescribed on the boundary, the presence of geological
heterogeneity leads to an increase in the
effective stresses in the rock matrix and to an earlier
appearance of the plastification zone.
A classical consolidation problem of a weak reservoir
due to oil withdrawal is considered. Numerical results
illustrate the effects of the variability
in the absolute permeability and uncertainty upon
the geomechanical predictions of the
evolution of the Mohr-Coulomb function.
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\end{thebibliography}
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