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Pontifical Catholic University of Rio de Janeiro

1. ISMAEL ANDRADE PIMENTEL. [en] AN ADAPTIVE MESHFREE ADVECTION METHOD FOR TWO-PHASE FLOW PROBLEMS OF INCOMPRESSIBLE AND IMMISCIBLE FLUIDS THROUGH THREEDIMENSIONAL HETEROGENEOUS POROUS MEDIA.

Degree: 2018, Pontifical Catholic University of Rio de Janeiro

[pt] Esta tese propõe um método meshfree adaptativo de advecção para problemas de fluxo bifásico de fluidos incompressíveis e imiscíveis em meios porosos heterogêneos tridimensionais. Este método se baseia principalmente na combinação do método Semi-Lagrangeano adaptativo com interpolação local meshfree usando splines poliharmônicas como funções de base radial. O método proposto é uma melhoria e uma extensão do método adaptativo meshfree AMMoC proposto por Iske e Kaser (2005) para modelagem 2D de reservatórios de petróleo. Inicialmente este trabalho propõe um modelo em duas dimensões, contribuindo com uma melhoria significativa no cálculo do Laplaciano, utilizando os métodos meshfree de Hermite e Kansa. Depois, o método é ampliado para três dimensões (3D) e para um meio poroso heterogêneo. O método proposto é testado com o problema de five spot e os resultados são comparados com os obtidos por sistemas bem conhecidos na indústria de petróleo.

[en] This thesis proposes an adaptive meshfree advection method for two-phase flow problems of incompressible and immiscible fluids through three-dimensional heterogeneous porous media. This method is based mainly on a combination of adaptive semi-Lagrangian method with local meshfree interpolation using polyharmonic splines as radial basis functions. The proposed method is an improvement and extension of the adaptive meshfree advection scheme AMMoC proposed by Iske and Kaser (2005) for 2D oil reservoir modeling. Initially this work proposes a model in two dimensions, contributing to a significant improvement in the calculation of the Laplacian, using the meshfree methods of Hermite and Kansa. Then, the method is extended to three dimensions (3D) and a heterogeneous porous medium. The proposed method is tested with the five spot problem and the results are compared with those obtained by well-known systems in the oil industry.

Advisors/Committee Members: MARCELO DE ANDRADE DREUX, MARCELO DE ANDRADE DREUX.

Subjects/Keywords: [pt] MECANICA COMPUTACIONAL; [en] COMPUTATIONAL MECHANICS; [pt] COMPUTACAO GRAFICA; [en] COMPUTER GRAPHICS; [pt] METODOS NUMERICOS; [en] NUMERICAL METHODS; [pt] SIMULACAO DE FLUIDOS; [en] FLUID SIMULATION; [pt] MEIOS POROSOS HETEROGENEOS; [en] HETEROGENEOUS POROUS MEDIA; [pt] ADAPTATIVO; [en] ADAPTIVE; [pt] LEVEL SET; [en] LEVEL SET; [pt] SEMI-LAGRANGEANO; [en] SEMI-LAGRANGIAN; [pt] ADVECCAO; [en] ADVECTION; [pt] MESHFREE; [en] MESHFREE

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

PIMENTEL, I. A. (2018). [en] AN ADAPTIVE MESHFREE ADVECTION METHOD FOR TWO-PHASE FLOW PROBLEMS OF INCOMPRESSIBLE AND IMMISCIBLE FLUIDS THROUGH THREEDIMENSIONAL HETEROGENEOUS POROUS MEDIA. (Thesis). Pontifical Catholic University of Rio de Janeiro. Retrieved from http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=33594

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

PIMENTEL, ISMAEL ANDRADE. “[en] AN ADAPTIVE MESHFREE ADVECTION METHOD FOR TWO-PHASE FLOW PROBLEMS OF INCOMPRESSIBLE AND IMMISCIBLE FLUIDS THROUGH THREEDIMENSIONAL HETEROGENEOUS POROUS MEDIA.” 2018. Thesis, Pontifical Catholic University of Rio de Janeiro. Accessed January 27, 2021. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=33594.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

PIMENTEL, ISMAEL ANDRADE. “[en] AN ADAPTIVE MESHFREE ADVECTION METHOD FOR TWO-PHASE FLOW PROBLEMS OF INCOMPRESSIBLE AND IMMISCIBLE FLUIDS THROUGH THREEDIMENSIONAL HETEROGENEOUS POROUS MEDIA.” 2018. Web. 27 Jan 2021.

Vancouver:

PIMENTEL IA. [en] AN ADAPTIVE MESHFREE ADVECTION METHOD FOR TWO-PHASE FLOW PROBLEMS OF INCOMPRESSIBLE AND IMMISCIBLE FLUIDS THROUGH THREEDIMENSIONAL HETEROGENEOUS POROUS MEDIA. [Internet] [Thesis]. Pontifical Catholic University of Rio de Janeiro; 2018. [cited 2021 Jan 27]. Available from: http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=33594.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

PIMENTEL IA. [en] AN ADAPTIVE MESHFREE ADVECTION METHOD FOR TWO-PHASE FLOW PROBLEMS OF INCOMPRESSIBLE AND IMMISCIBLE FLUIDS THROUGH THREEDIMENSIONAL HETEROGENEOUS POROUS MEDIA. [Thesis]. Pontifical Catholic University of Rio de Janeiro; 2018. Available from: http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=33594

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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