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. 125