Progress in the Development of a Petroleum Reservoir
Simulator Based on the Double-Decomposition Theory
Marcelo J.S. de-Lemos1, Viviani T. Magro2, Luzia A. Tofaneli3, Marcelo B. Saito4
Laboratório de Computação em Fenômenos de Transporte – LCFT
Departamento de Energia – IEME, Instituto Tecnológico de Aeronáutica – ITA
12228-900 - São José dos Campos - SP – Brazil
1
E-mail: [email protected],[email protected],[email protected],[email protected]
URL: http://lcft.mec.ita.br
ABSTRACT
The double-decomposition theory for analysis
of turbulent transport through permeable
media has been proposed in a series of papers
[1]-[4]. Also, all models in the literature have
been compiled, grouped and classified
according to their major characteristics [5].
Recently, a numerical treatment for the
interface jump conditions was considered [6].
Also, advanced numerical algorithms [7] and
improved thermal modeling [8]-[9] were
extended for handling flow in porous media.
The main idea underlining such development
was the simultaneous applications of both time
and volume average operators to the flow and
energy governing equations. The controversial
issue about the definition of the turbulent
kinetic energy associated with the flow was
for the first time unveiled [1]. The objective of
this paper is to discuss the steps taken at the
Computational
Transport
Phenomena
Laboratory of the Aeronautical Technology
Institute, ITA, in order to apply this work in
the development of a numerical tool for
simulating oil reservoirs. Progress made so far
as well as future research are discussed upon.
References
[1] Pedras, M.H.J., de Lemos, M.J.S., 2000,
On the definition of turbulent kinetic
energy for flow in porous media, Int.
Comm. Heat Mass Transfer, vol. 27 (2)
pp. 211-220.
[2] Pedras, M.H.J., de Lemos, M.J.S., 2001,
Macroscopic Turbulence Modeling for
Incompressible
Flow
Through
Undeformable Porous Media, Int. J. Heat
and Mass Transfer, vol. 44(6), pp. 10811093.
[3] Rocamora Jr., F.D., de Lemos, M.J.S.,
2000, Analysis Of Convective Heat
Transfer For Turbulent Flow In Saturated
Porous Media, Int. Comm. Heat Mass
Transfer, vol. 27(6), pp. 825-834.
[4] Pedras, M.H.J., de Lemos, M.J.S., 2001,
Simulation of Turbulent Flow in Porous
Media Using a Spatially Periodic Array
and a Low Re Two-Equation Closure,
Numerical Heat Transfer - Part A
Applications, vol. 39, n. 1, pp. 35-59.
[5] de Lemos, M.J.S., Pedras, M.H.J., 2001,
Recent Mathematical Models For
Turbulent Flow In Saturated Rigid Porous
Media, Journal of Fluids Engineering,
vol. 124 (4), pp 935-940.
[6] Silva, R.A. and de-Lemos, M.J.S., 2002,
Numerical Analysis of The Stress Jump
Interface Condition For Laminar Flow
Over a Porous Layer, Numerical Heat
Transfer (submitted).
[7] Mesquita, M.S., de Lemos, M.J.S, 2002,
Multigrid Numerical Solutions of laminar
Flow in Porous Media, Proc. 1st. Int. Conf.
Applications of Porous Media, vol. 1, pp.
560-568, June 2-8, Jerba, Tunisia.
[8] Braga, E.J., de Lemos, M.J.S., 2002,
Natural
Convection
in
Cavities
Completely Filled with Porous Material,
Proc. 1st. Int. Conf. Applications of Porous
Media, vol. 1, pp. 551-559, June 2–8,
Jerba, Tunisia.
[9] Braga, E.J., de Lemos, M.J.S., 2002,
Turbulent
Natural
Convection
in
Enclosures With Clear Fluid and
Completely Filled With Porous Material
(submitted), ASME-IMECE02 – Int. Mech.
Eng. Congr., New Orleans, USA, Nov.
17-22.
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Progress in the Development of a Petroleum Reservoir Simulator