Numerical simulation of 1-D oil and water displacements in petroleum reservoirs using the spectral finite volume method

The study and development of high-order discretization techniques for the modeling and simulation of multiphase flows in petroleum reservoirs are still a challenge from the computational viewpoint due to the difficulty posed by some physical features such as heterogeneity and anisotropy of the mediu...

Full description

Saved in:
Bibliographic Details
Published in:Journal of the Brazilian Society of Mechanical Sciences and Engineering 2017-07, Vol.39 (7), p.2687-2700
Main Authors: Galindez-Ramirez, G., Souza, M. R. A., Carvalho, D. K. E., Lyra, P. R. M.
Format: Article
Language:English
Subjects:
Anisotropy
Approximation
Capillarity
Computer simulation
Crude oil
Discretization
Displacement
Engineering
Finite difference method
Finite volume method
Formulations
Gravitation
Heterogeneity
Mathematical analysis
Mathematical models
Mechanical Engineering
Multiphase flow
Oscillations
Porous media
Reconstruction
Reservoirs
Saturation
Spectra
Technical Paper
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The study and development of high-order discretization techniques for the modeling and simulation of multiphase flows in petroleum reservoirs are still a challenge from the computational viewpoint due to the difficulty posed by some physical features such as heterogeneity and anisotropy of the medium, that are of paramount importance in this class of applications. In this paper, we present a preliminary investigation of the very high order Spectral Finite Volume Method (SFVM) for the discretization of the saturation equation that describes the 1-D Oil-Water displacement through porous media. In this equation, the hyperbolic term is discretized using a high order SFVM, the capillary term is approximated using a second order CVFD (Control Volume Finite Difference) method and the integration in time is carried out using a third-order Runge–Kutta method. On the other hand, to prevent numerical oscillations near shocks, that are typical from higher order schemes, a slope limiter procedure is used in the reconstruction stage. To evaluate the performance of the SFVM some simple model problems, including capillarity and gravity, are solved, yielding accurate and efficient results. The use of very high order formulations can be of utmost importance, particularly for multidimensional and real large-scale applications with complex wave structures.
ISSN:1678-5878
1806-3691
DOI:10.1007/s40430-017-0795-8