Paula Luna, Arturo Hidalgo
Abstract:
Mathematical modeling and numerical simulation of two-phase flow through
porous media is a very active field of research, because of its relevancy
in a wide range of physical and technological applications.
Some outstanding applications concern reservoir simulation and oil and
gas recovery, fields in which a great effort is being paid in the development
of efficient numerical methods. The mathematical model used in this work
is written as a system comprising an elliptic equation for pressure and
a hyperbolic one for saturation. Our aim is to obtain the numerical solution
of this model by combining finite element and finite volume techniques,
with a second-order non-oscillatory reconstruction procedure to build the
values of the velocities at the cell interfaces of the FV mesh from pointwise
values of the pressure at the FE nodes.
The numerical results are compared to those obtained using the commercial
code ECLIPSE showing an appropriate behavior from a qualitative point of view.
The use of this FE-FV procedure is not the usual numerical method in petroleum
reservoir simulation, since the techniques most frequently used are based on
finite differences, even in standard commercial tools.
Published November 20, 2015.
Math Subject Classifications: 35J20, 35J60, 35J70, 47J10, 46E35.
Key Words: Reservoir simulation; numerical simulation;
saturation profile; finite volume method.
Show me the PDF(600 K), TEX and other files for this article.
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Paula Luna Escuela Técnica Superior de Ingenieros de Minas y Energía Universidad Politécnica de Madrid Madrid, Spain email: p.luna@alumnos.upm.es |
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Arturo Hidalgo Escuela Técnica Superior de Ingenieros de Minas y Energía Universidad Politécnica de Madrid Madrid, Spain email: arturo.hidalgo@upm.es |
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