Made available in DSpace on 2014-12-17T14:08:32Z (GMT). No. of bitstreams: 1 PauloHLB.pdf: 2469292 bytes, checksum: ffc7ae61ceea8c4e2281f69274f4d8c7 (MD5) Previous issue date: 2008-12-12 / Deep bed filtration occurs in several industrial and environmental processes like water filtration and soil contamination. In petroleum industry, deep bed filtration occurs near to injection wells during water injection, causing injectivity reduction. It also takes place during well drilling, sand production control, produced water disposal in aquifers, etc. The particle capture in porous media can be caused by different physical mechanisms (size exclusion, electrical forces, bridging, gravity, etc). A statistical model for filtration in porous media is proposed and analytical solutions for suspended and retained particles are derived. The model, which incorporates particle retention probability, is compared with the classical deep bed filtration model allowing a physical interpretation of the filtration coefficients. Comparison of the obtained analytical solutions for the proposed model with the classical model solutions allows concluding that the larger the particle capture probability, the larger the discrepancy between the proposed and the classical models / A filtra??o profunda de suspens?es particuladas ocorre em muitos processos industriais e ambientais, como filtra??o de ?gua e contamina??o do solo. Na ind?stria petrol?fera, a filtra??o profunda ocorre pr?ximo ao po?o injetor durante a inje??o de ?gua, causando redu??o de injetividade. Este processo tamb?m ocorre durante a perfura??o de po?os de petr?leo, o controle da produ??o de areia, o descarte de ?gua produzida em aq??feros, etc. A captura de part?culas no meio poroso pode ser causada por diferentes mecanismos f?sicos (exclus?o pelo tamanho, for?as el?tricas, gravidade, etc.). Neste trabalho, um modelo estat?stico para a filtra??o em meios porosos ? proposto e solu??es anal?ticas para as concentra??es de part?culas em suspens?o e retidas s?o obtidas. O modelo, que incorpora a probabilidade de captura de part?culas, foi comparado com o modelo cl?ssico permitindo uma interpreta??o f?sica dos coeficientes de filtra??o. As solu??es anal?ticas encontradas para o modelo proposto foram comparadas com a modelagem cl?ssica, mostrando que quanto maior a probabilidade de captura de part?culas durante o transporte em meios porosos, maior ? a discrep?ncia entre a modelagem cl?ssica e o modelo proposto