A higher resolution edge-based finite volume method for the simulation of the oil-water displacement in heterogeneous and anisotropic porous media using a modified IMPES method

2016 ◽  
Vol 82 (12) ◽  
pp. 953-978 ◽  
Author(s):  
Rogério Soares da Silva ◽  
Paulo Roberto Maciel Lyra ◽  
Ramiro Brito Willmersdorf ◽  
Darlan Karlo Elisiário de Carvalho
Keyword(s):  
Porous Media ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Water Displacement ◽  
Anisotropic Porous Media ◽  
Oil Water ◽  
Edge Based ◽  
Volume Method

scholarly journals 2-d mathematical and numerical modeling of fluid flow inside and outside packing in catalytic packed bed reactor

REAKTOR ◽  
2017 ◽  
Vol 5 (1) ◽  
pp. 1
Author(s):  
L. Buchori ◽  
Y. Bindar ◽  
D. Sasongko ◽  
IGBN Makertihartha
Keyword(s):  
Experimental Data ◽  
Porous Media ◽  
Fluid Flow ◽  
Velocity Profile ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Flow Model ◽  
Flow In Porous Media ◽  
Diffusion And Convection ◽  
Volume Method

Generally, the momentum equation of fluid flow in porous media was solved by neglecting the terms of diffusion and convection such as Ergun, Darcy, Brinkman and Forchheimer models. Their model primarily applied for laminar flow. It is true that these model are limited to condition whether the models can be applied. Analytical solution for the model type above is available only for simple one-dimensional cases. For two or three-dimentional problem, numerical solution is the only solution. This work advances the flow model in porous media and provide two-dimentional flow field solution in porous media, which includes the diffusion and convection terms. The momentum lost due to flow and porous material interaction is modeled using the available  Brinkman-Forchheimer equation. The numerical method to be used is finite volume method. This method is suitable for the characteristic of fluid  flow in porous media which is averaged by a volume base. The effect of the solid and fluid interaction in porous  media is the basic principle of the flow model in morous media. The Brinkman-Forchheimer consider the momentum lost term to be determined by a quadratic function of the velocity component. The momentum and the continuity equation are solved for two-dimentional cylindrical coordinat . the result were validated with the experimental data. The velocity of the porous media was treated to be radially oscillated. The result of velocity profile inside packing show a good agreement in their trend with the Stephenson and Steward experimental data. The local superficial  velocity attains its global maximum and minimum at distances near 0.201 and 0.57 particle diameter, dp. velocity profile below packing was simulated. The result were validated with Schwartz and Smith experimental data. The result also show an excellent agreement with those experimental data.Keywords : finite volume method, porous media, flow distribution, velocity profile

Finite Volume Methods for Well-Driven Flows in Anisotropic Porous Media

2014 ◽  
Vol 14 (4) ◽  
pp. 473-483 ◽  
Author(s):  
Milan Dotlić
Keyword(s):  
Porous Medium ◽  
Porous Media ◽  
Finite Volume ◽  
Finite Volume Methods ◽  
Hydraulic Head ◽  
Anisotropic Porous Media ◽  
Flow Simulations ◽  
First Order ◽  
Anisotropic Porous Medium ◽  
Volume Method

AbstractWe consider a finite volume method for flow simulations in an anisotropic porous medium in the presence of a well. The hydraulic head varies logarithmically and its gradient changes rapidly in the well vicinity. Thus, the use of standard numerical schemes results in a completely wrong total well flux and an inaccurate hydraulic head. In this article we propose two finite volume methods to model the well singularity in an anisotropic medium. The first method significantly reduces the total well flux error, but the hydraulic head is still not even first-order accurate. The second method gives a second-order accurate hydraulic head and at least first-order accurate total well flux.

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