CILAMCE 2016 Proceedings of the XXXVII Iberian Latin-American Congress on Computational Methods in Engineering Suzana Moreira Ávila (Editor), ABMEC, Brasília, DF, Brazil, November 6-9, 2016 A MODIFIED FLOW ORIENTATION SCHEME COUPLED WITH A ROBUST MPFA-DIAMOND FOR THE SOLUTION OF TWO-PHASE FLOW IN HIGHLY ANISOTROPIC PETROLEUM RESERVOIRS M. R. A. Souza marciosouza@cear.ufpb.br Department of Renewable Energy Engineering, UFPB BR 230, km 21 s/n, CEP: 58059-900, João Pessoa, PB, Brazil Address, Zip-Code, State, Province, Country F. R. L. Contreras ferlicapac@gmail.com P. R. M. Lyra prmlyra@padmec.org D. K. E. Carvalho dkarlo@uol.com.br Department of Mechanical Engineering, UFPE Av. Acadêmico Hélio Ramos s/n, CEP: 50670-901, Recife, PE, Brazil Abstract. In this paper we simulate two-phase flow in anisotropic petroleum reservoirs. The IMPES procedure is used to solve the coupling between pressure and saturation equations. The pressure equation is discretized by a robust Multipoint Flux Approximation Method with a Diamond-type support. This formulation is capable of reproducing piecewise linear solutions exactly and deals with anisotropic media. To solve the saturation equation a Modified Flow Oriented Scheme (M-FOS) is proposed. This alternative computes the multidimensional numerical fluxes using higher order accuracy in space. This formulation explicitly takes into account the angular distortion of the computational mesh by means of an adaptive weight that tunes the multidimensional character of the formulation according to the grid distortion. A recently devised Multidimensional Limiting Process is adopted in this paper brought to you by CORE View metadata, citation and similar papers at core.ac.uk provided by Universidade de Brasília: Portal de Periódicos da UnB