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COBEM 2019
25th International Congress of Mechanical Engineering
NUMERICAL FLOW SIMULATION IN NATURALLY FRACTURED PETROLEUM RESERVOIRS USING A MPFA-STREAMLINE FORMULATION
Submission Author:
Kelly Cristinne Leite Angelim , PE
Co-Authors:
Kelly Cristinne Leite Angelim, Túlio de Moura Cavalcante, Jonathan Teixeira, Paulo Roberto Maciel Lyra, DARLAN KARLO ELISIÁRIO DE CARVALHO
Presenter: Kelly Cristinne Leite Angelim
doi://10.26678/ABCM.COBEM2019.COB2019-2191
Abstract
Numerical simulation of fluid flows in petroleum reservoirs is a fundamental tool with great applicability in the oil industry. Naturally fractured reservoirs have great structural and geometric complexity that makes it difficult to use structured meshes to adequately represent these systems, requiring the use of unstructured meshes. In this paper, we present a numerical formulation to simulate two-phase flow of oil and water in naturally fractured oil reservoirs using unstructured quadrilateral meshes. For the resolution of the diffusive pressure problem, we have used a Finite-Volume Method with a Multipoint Flux Approximation with a Diamond stencil (MPFA-D), which represents a very robust and flexible formulation that is capable to deal with highly heterogeneous fractured domains and full permeability tensor representation of the rock matrix in any polygonal grid. For the approximation of the advective saturation problem, we used the streamline-based method, which is very efficient due to the decoupling of the transport equations from 2-D into multiple 1-D problems that are solved along each streamline, reducing drastically the computational cost. These methods were implemented in the context of the Hybrid Dimensional (HyD) Grid Model. In order to validate the proposed formulation, we solve some benchmark problems found in literature.
Keywords
Naturally Fractured Reservoirs, Two-Phase Flows of Oil and Water, MPFA-D, Streamline Method
