TY - JOUR
T1 - Development, Analysis and Numerical Tests of a Compositional Reservoir Simulator
AU - Z. Chen & Y. Zhang
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 86
EP - 100
PY - 2008
DA - 2008/05
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/800.html
KW - compositional model, reservoir simulation, mixed finite elements, finite volume, thermodynamic equilibrium, numerical experiments.
AB - <p style="text-align: justify;">The governing equations of a compositional model for
three-phase multicomponent fluid flow in multi-dimensional petroleum
reservoirs are cast in terms of a pressure equation and a set of
component mass balance equations in this paper. The procedure is based
on a pore volume constraint for component partial molar volumes, which
is different from earlier techniques utilizing an equation of state for
phase fluid volumes or saturations. The present technique simplifies the
pressure equation, which is written in terms of various pressures such
as phase, weighted fluid, global, and pseudo-global pressures. The
different formulations resulting from these pressures are numerically
solved; the numerical computations use a scheme based on the mixed
finite element method for the pressure equation and the finite volume
method for the component mass balance equations. A qualitative analysis
of these formulations is also carried out. The analysis yields that the
differential system of these formulations is of mixed
parabolic-hyperbolic type, typical for fluid flow equations in petroleum
reservoirs. Numerical experiments based on the benchmark problem of the
third comparative solution project organized by the society of petroleum
engineers are presented.</p>