A modified Flux Corrected Transport method coupled with the MPFA-H formulation for the numerical simulation of two-phase flows in petroleum reservoirs using 2D unstructured meshes-Reference-Cited by-同舟云学术

A modified Flux Corrected Transport method coupled with the MPFA-H formulation for the numerical simulation of two-phase flows in petroleum reservoirs using 2D unstructured meshes

Published:2024-08-09 Issue: Volume: Page:
ISSN:1420-0597
Container-title:Computational Geosciences
language:en
Short-container-title:Comput Geosci

Author:

da Silva Phillipe C. G.^ORCID,Pacheco Gustavo L. S. S.,Albuquerque Pedro V. P.,Souza Márcio R. A.,Contreras Fernando R. L.,Lyra Paulo R. M.,Carvalho Darlan K. E.

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Fundação de Amparo á Ciência e Tecnologia do Estado de Pernambuco

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s10596-024-10306-w.pdf

Reference53 articles.

1. Contreras, F.R.L., Lyra, P.R.M., Carvalho, D.K.E.: A new Multipoint Flux Approximation Method with a Quasi-Local stencil (MPFA-QL) for the simulation of diffusion problems in anisotropic and heterogeneous media. Appl. Math. Model. 70, 659–676 (2019). https://doi.org/10.1016/j.apm.2019.01.033

2. Souza, M.R.A., Contreras, F.R.L., Lyra, P.R.M., Carvalho, D.K.E.: A higher-resolution flow-oriented scheme with an adaptive correction strategy for distorted meshes coupled with a robust MPFA-D method for the numerical simulation of two-phase flow in heterogeneous and anisotropic petroleum reservoirs. SPE J. 23(06), 2351–2375 (2018). https://doi.org/10.2118/182677-PA

3. Carvalho, D.K.E., Lyra, P.R.M., Willmersdorf, R.B., Araújo, F.D.S.: An unstructured edge-based finite volume formulation for solving immiscible two-phase flows in porous media. Commun. Numer. Methods Eng. 21(12), 747–756 (2005). https://doi.org/10.1002/cnm.790

4. Carvalho, D.K.E., Willmersdorf, R.B., Lyra, P.R.M.: A node-centred finite volume formulation for the solution of two-phase flows in non-homogeneous porous media. Int. J. Numer. Meth. Fluids 53(8), 1197–1219 (2007). https://doi.org/10.1002/fld.1238

5. Edwards, M.G.: Multi-dimensional wave-oriented upwind schemes with reduced cross-wind diffusion for flow in porous media. Int. J. Numer. Meth. Fluids 67(1), 33–57 (2011). https://doi.org/10.1002/fld.2329