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A Finite Difference, Semi-implicit, Equation-of-State Efficient Algorithm for the Compositional Flow Modeling in the Subsurface: Numerical Examples

The mathematical model that has been recognized to have the more accurate approximation
to the physical laws govern subsurface hydrocarbon flow in reservoirs is
the Compositional Model. The features of this model are adequate to describe not
only the performance of a multiphase system but also to represent the transport of
chemical species in a porous medium. Its importance relies not only on its current
relevance to simulate petroleum extraction processes, such as, Primary, Secondary,
and Enhanced Oil Recovery Process (EOR) processes but also, in the recent years,
carbon dioxide (CO2) sequestration.
The purpose of this study is to investigate the subsurface compositional flow under
isothermal conditions for several oil well cases. While simultaneously addressing
computational implementation finesses to contribute to the efficiency of the algorithm.
This study provides the theoretical framework and computational implementation subtleties of an IMplicit Pressure Explicit Composition (IMPEC)-Volume-balance
(VB), two-phase, equation-of-state, approach to model isothermal compositional flow
based on the finite difference scheme. The developed model neglects capillary effects
and diffusion. From the phase equilibrium premise, the model accounts for volumetric
performances of the phases, compressibility of the phases, and composition-dependent
viscosities. The Equation of State (EoS) employed to approximate the hydrocarbons
behaviour is the Peng Robinson Equation of State (PR-EOS).
Various numerical examples were simulated. The numerical results captured the complex
physics involved, i.e., compositional, gravitational, phase-splitting, viscosity and
relative permeability effects. Regarding the numerical scheme, a phase-volumetric-flux estimation eases the calculation of phase velocities by naturally fitting to phase-upstream-upwinding. And contributes to a faster computation and an efficient programming
development.

Identiferoai:union.ndltd.org:kaust.edu.sa/oai:repository.kaust.edu.sa:10754/237273
Date07 1900
CreatorsSaavedra, Sebastian
ContributorsSun, Shuyu, Calo, Victor M., Stenchikov, Georgiy L.
Source SetsKing Abdullah University of Science and Technology
LanguageEnglish
Detected LanguageEnglish
TypeThesis

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