Modelagem matemática e simulação numérica da injeção de partículas em meios porosos
In this work we present the problematic associated with fluid flow, transport and particle retention processes in porous media. In particular, we highlight the filtration and adsorption phenomena that occur during particle injection in porous media. This work main goal is to deduct a mathematical...
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| Formato: | Dissertação |
| Idioma: | pt_BR |
| Publicado em: |
Universidade Federal do Rio Grande do Norte
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| Endereço do item: | https://repositorio.ufrn.br/jspui/handle/123456789/29983 |
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| Resumo: | In this work we present the problematic associated with fluid flow, transport and particle
retention processes in porous media. In particular, we highlight the filtration and adsorption phenomena that occur during particle injection in porous media. This work main
goal is to deduct a mathematical and computational modeling of deep bed filtration and
particle adsorption. Having the mathematical model been deducted, based on differential
equations, analytical solutions for particular cases of the filtration coefficient are obtained. For the computational model, the high order finite volume method of Kurganov &
Tadmor (KT) is proposed in order to obtain numerical solutions for the particle transport
equation, and the Runge-Kutta method is used for the retention kinetics. Furthermore,
numerical simulations for the filtration process are proposed making it possible to understand filtration, as well as evaluating the optimal properties of the proposed finite volume
method. The results showed that numerical approximations obtained by KT method are
more acurated and robust than those obtained by Upwind, LxF and NT. Finally, we
use the proposed numerical scheme, based on KT method, altogether with a least squares optimization proccess to obtain the mathematical model effective coefficients using
experimental data available in literature as reference. |
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