Academic literature on the topic 'Carman-Kozeny'
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Journal articles on the topic "Carman-Kozeny"
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Carrier, W. David. "Goodbye, Hazen; Hello, Kozeny-Carman." Journal of Geotechnical and Geoenvironmental Engineering 129, no. 11 (2003): 1054–56. http://dx.doi.org/10.1061/(asce)1090-0241(2003)129:11(1054).
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XIAO, BOQI, XIAN ZHANG, GUOPING JIANG, et al. "KOZENY–CARMAN CONSTANT FOR GAS FLOW THROUGH FIBROUS POROUS MEDIA BY FRACTAL-MONTE CARLO SIMULATIONS." Fractals 27, no. 04 (2019): 1950062. http://dx.doi.org/10.1142/s0218348x19500622.
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In this paper, the Kozeny–Carman constant of fibrous porous media is simulated by the Fractal-Monte Carlo technique. The proposed probability model of the Kozeny–Carman constant is obtained based on the fractal distribution of pore size in fibrous porous media, and thus can be expressed as a function of structural parameters of fibrous porous media, including porosity, micro-pore size, fiber diameter, tortuosity fractal dimension and area fractal dimension of pores. Our results demonstrate that the Kozeny–Carman constant of fibrous porous media increases with increases in tortuosity fractal dimension and fiber diameter. Our results also illustrate a satisfying agreement of the Fractal Monte-Carlo simulations obtained by the proposed model and the existing experimental data. Therefore, the proposed Fractal-Monte Carlo technique can be used to characterize other transport properties of fluid in fibrous porous media.
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Johnson, Andrew K., Alexander L. Yarin, and Farzad Mashayek. "Packing Density and the Kozeny-Carman Equation." Neurosurgery 71, no. 5 (2012): E1064—E1065. http://dx.doi.org/10.1227/neu.0b013e31826c57d6.
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Mavko, Gary, and Amos Nur. "The effect of a percolation threshold in the Kozeny‐Carman relation." GEOPHYSICS 62, no. 5 (1997): 1480–82. http://dx.doi.org/10.1190/1.1444251.
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One of the most important properties of reservoir rocks, and perhaps the most difficult to predict, is permeability. Laboratory studies have shown that permeability depends on a long list of parameters: porosity, pore size and shape, clay content, stress, pore pressure, fluid type, saturation—a nearly overwhelming complexity. In spite of this, the essential behavior can often be expressed successfully using the remarkably simple Kozeny‐Carman (Kozeny, 1927; Carman, 1937, 1956; Bear, 1972; Scheidegger, 1974) relation [Formula: see text]where κ is the permeability, ϕ is the porosity, S is the specific surface area (pore surface area per volume of rock), and B is a geometric factor.
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Turtoi, Petrica, Traian Cicone, and Aurelian Fatu. "Experimental and theoretical analysis of (water) permeability variation of nonwoven textiles subjected to compression." Mechanics & Industry 18, no. 3 (2017): 307. http://dx.doi.org/10.1051/meca/2016048.
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This paper presents the experimental determination of permeability for unidirectional in-plane flow through a thin layer of nonwoven porous textile subjected to various rates of compression. The experiments were made on an original device that allows the variation of porous layer compression and pressure differential. The permeability was calculated assuming the validity of Darcy law and, in parallel, Darcy-Forchheimer model. The preliminary results obtained with water show that pressure gradient does not influence sensibly the resistance to flow of the material and Darcy’s law is applicable. For permeability-porosity correlation the experimental results were fitted using the well-known Kozeny-Carman equation. Also good correlation was found with other two models derived from Kozeny-Carman.
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Porter, Lee B., Robert W. Ritzi, Lawrence J. Mastera, David F. Dominic, and Behzad Ghanbarian-Alavijeh. "The Kozeny-Carman Equation with a Percolation Threshold." Ground Water 51, no. 1 (2012): 92–99. http://dx.doi.org/10.1111/j.1745-6584.2012.00930.x.
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Paydar, Zahra, and Anthony J. Ringrose-Voase. "Prediction of hydraulic conductivity for some Australian soils." Soil Research 41, no. 6 (2003): 1077. http://dx.doi.org/10.1071/sr02120.
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Pedotransfer functions and their use in simulation modelling have attracted much attention during recent years. In the absence of measured hydraulic conductivity data, prediction from other soil properties would be most useful. A functional form relating near-saturated hydraulic conductivity to the soil water retention curve based on the Kozeny–Carman equation was investigated on Australian soils. For a dataset comprising a range of soil textures and structural conditions (107 samples with bulk density >1.2 Mg/m3) a power-law relationship between near-saturated hydraulic conductivity, effective porosity, and pore size distribution index was obtained. The function was tested on 2 different datasets for independent evaluation. The results showed poor predictions for most soils in this study. While the reasons for poor predictions might be the difference in the measurement techniques or potentials, it is thought that the proposed function mostly fails predictions on soils with high organic matter and management practices affecting macropores and soil structure (e.g. crust). The proposed function did not show much improvement over the more general form of the Kozeny–Carman equation with empirical coefficients. In the absence of other data, the modified Kozeny–Carman equation (with or without water retention parameters) can be used, with caution, on similar soils and larger scale applications. More data are needed to test the reliabilty of these functions for use in specific locations.
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Rao, P. S., and Santosh Agarwal. "A Comparison of Porous Structures on the Performance of a Slider Bearing with Surface Roughness in Couple Stress Fluid Film Lubrication." Applied Mechanics and Materials 813-814 (November 2015): 921–37. http://dx.doi.org/10.4028/www.scientific.net/amm.813-814.921.
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This paper presents the theoretical study and analyzes the comparison of porous structures on the performance of a couple stress fluid based on rough slider bearing. The globular sphere model of Kozeny-Carman and Irmay’s capillary fissures model have been subjected to investigations. A more general form of surface roughness is mathematically modeled by a stochastic random variable with non-zero mean, variance and skewness. The stochastically averaged Reynolds type equation has been solved under suitable boundary conditions to obtain the pressure distribution in turn which gives the expression for the load carrying capacity, frictional force and coefficient of friction. The results are illustrated by graphical representations which show that the introduction of combined porous structure with couple stress fluid results in an enhanced load carrying capacity more in the case of Kozeny-Carman model as compared to Irmay’s model.
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Dvorkin, Jack, Haim Gvirtzman, and Amos Nur. "Kozeny-Carman relation for a medium with tapered cracks." Geophysical Research Letters 18, no. 5 (1991): 877–80. http://dx.doi.org/10.1029/91gl01069.
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Schulz, Raphael, Nadja Ray, Simon Zech, Andreas Rupp, and Peter Knabner. "Beyond Kozeny–Carman: Predicting the Permeability in Porous Media." Transport in Porous Media 130, no. 2 (2019): 487–512. http://dx.doi.org/10.1007/s11242-019-01321-y.
Full textDissertations / Theses on the topic "Carman-Kozeny"
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Porter, Lee Brenson II. "The Kozeny-Carman Equation Considered With a Percolation Threshold." Wright State University / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=wright1309878625.
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Brêttas, Juan Diego Cardoso. "Geração de meios porosos fractais com uma nova equação do tipo Kozeny-Carman." Universidade do Estado do Rio de Janeiro, 2010. http://www.bdtd.uerj.br/tde_busca/arquivo.php?codArquivo=1289.
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Conselho Nacional de Desenvolvimento Científico e TecnológicoA relação entre porosidade e permeabilidade desperta o interesse de pesquisadores e engenheiros por causa de suas diversas aplicações. Tais como na utilização de filtros, materiais pouco permeáveis, reservatórios naturais, etc. Ao longo do século XX, diversos trabalhos propondo tal relação foram apresentados na literatura e grande parte desses trabalhos desenvolvem modelos baseados na equação clássica de Kozeny-Carman. Nesta dissertação, propomos um modelo mais robusto que a formulação clássica de Kozeny-Carman, ou seja, que não apresenta as limitações dessa equação clássica. Além disso, um estudo baseado na Teoria dos Meios Fractais indica que o modelo estudado, nesta dissertação, generaliza diversas equações que fornecem a relação entre porosidade e permeabilidade. Por fim, será mostrado que o modelo proposto é capaz de descrever a relação entre porosidade e permeabilidade de diversos materiais porosos de natureza fractal.
The relationship between porosity and permeability attracts the attention of researchers and engineers because of their various applications. Such as in utilization of filters, waterproof materials, natural reservoirs, for example.Throughout the twentieth century, several works proposed in the literature they study the relation porosity-permeability, and much of this works they develop models based on the classical equation of Kozeny-Carman. In this dissertation, we propose a model more robust than the classical formulation of Kozeny-Carman, ie, that does not have the limitations of the equation classical. Furthermore, a study based on the Theory of the Media Fractals indicates that the model studied in this dissertation provide the relationship between porosity and permeability of several models presented in the literature. Finally, it will shown that the model proposed is able to describe the relationship between porosity and permeability of porous materials of various fractal nature.
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Brêttas, Juan Diego Cardoso. "Modelagem e simulação do escoamento imiscível em meios porosos fractais descritos pela equação de Kozeny-Carman Generalizada." Universidade do Estado do Rio de Janeiro, 2013. http://www.bdtd.uerj.br/tde_busca/arquivo.php?codArquivo=5307.
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Coordenação de Aperfeiçoamento de Pessoal de Nível SuperiorThis work deals with the two-phase flow in heterogeneous porous media of fractal nature, where the fluids are considered immiscible. The porous media are modeled by the Kozeny-Carman Generalized (KCG) equation, a relationship between permeability and porosity obtained from a new power law. This equation proposed by us is able to generalize various models of the literature, and thus is of more general use. The numerical simulator developed here employs finite difference methods. Following the classic strategy called IMPES, the evolution in the time is based on an operators splitting technique. Thus, the pressure field is computed implicitly, whereas the saturation equation of wetting phase is solved explicitly in each time step. The optimization method called DFSANE is used to solve pressure equation. We emphasize that the DFSANE method has not been used before in the reservoir simulation context. Therefore, its use here is unprecedented. To minimize numerical diffusions, the saturation equation is discretized by an upwind-type scheme, commonly employed in numerical simulators for petroleum recovery, which is explicitly solved by the fourth order Runge-Kutta method. The simulation results are quite satisfatory. In fact, these results show that the KCG model is able to generate heterogeneous porous media, whose features enable to capture physical phenomena that are generally inaccessible to many simulators based on classical finite differences, as the so-called fingering phenomenon, which occurs when the mobility ratio (between the fluid phases) assumes adverse values. In all simulations presented here, we consider that the immiscible flow is two-dimensional. Thus, the porous medium is characterized by permeability and porosity fields defined in two-dimensional Euclidean regions. However, the theory discussed in this work does not impose restrictions for the their application to three-dimensional problems.
O presente trabalho trata do escoamento bifásico em meios porosos heterogêneos de natureza fractal, onde os fluidos são considerados imiscíveis. Os meios porosos são modelados pela equação de Kozeny-Carman Generalizada (KCG), a qual relaciona a porosidade com a permeabilidade do meio através de uma nova lei de potência. Esta equação proposta por nós é capaz de generalizar diferentes modelos existentes na literatura e, portanto, é de uso mais geral. O simulador numérico desenvolvido aqui emprega métodos de diferenças finitas. A evolução temporal é baseada em um esquema de separação de operadores que segue a estratégia clássica chamada de IMPES. Assim, o campo de pressão é calculado implicitamente, enquanto que a equação da saturação da fase molhante é resolvida explicitamente em cada nível de tempo. O método de otimização denominado de DFSANE é utilizado para resolver a equação da pressão. Enfatizamos que o DFSANE nunca foi usado antes no contexto de simulação de reservatórios. Portanto, o seu uso aqui é sem precedentes. Para minimizar difusões numéricas, a equação da saturação é discretizada por um esquema do tipo "upwind", comumente empregado em simuladores numéricos para a recuperação de petróleo, o qual é resolvido explicitamente pelo método Runge-Kutta de quarta ordem. Os resultados das simulações são bastante satisfatórios. De fato, tais resultados mostram que o modelo KCG é capaz de gerar meios porosos heterogêneos, cujas características permitem a captura de fenômenos físicos que, geralmente, são de difícil acesso para muitos simuladores em diferenças finitas clássicas, como o chamado fenômeno de dedilhamento, que ocorre quando a razão de mobilidade (entre as fases fluidas) assume valores adversos. Em todas as simulações apresentadas aqui, consideramos que o problema imiscível é bidimensional, sendo, portanto, o meio poroso caracterizado por campos de permeabilidade e de porosidade definidos em regiões Euclideanas. No entanto, a teoria abordada neste trabalho não impõe restrições para sua aplicação aos problemas tridimensionais.
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Mastera, Lawrence. "Estimating Permeability from the Grain-Size Distributions of Natural Sediment." Wright State University / OhioLINK, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=wright1278618761.
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Esselburn, Jason Dennis. "Porosity and Permeability in Ternary Sediment Mixtures." Wright State University / OhioLINK, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=wright1245949430.
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Verdibello, Steven M. "Relationship Between Log Permeability and Fraction of Finer Grains in Bimodal Sediment Mixtures." Wright State University / OhioLINK, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=wright1341497125.
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Rainey, Thomas James. "A study into the permeability and compressibility of Australian bagasse pulp." Queensland University of Technology, 2009. http://eprints.qut.edu.au/30394/.
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This is an experimental study into the permeability and compressibility properties of bagasse pulp pads. Three experimental rigs were custom-built for this project. The experimental work is complemented by modelling work. Both the steady-state and dynamic behaviour of pulp pads are evaluated in the experimental and modelling components of this project. Bagasse, the fibrous residue that remains after sugar is extracted from sugarcane, is normally burnt in Australia to generate steam and electricity for the sugar factory. A study into bagasse pulp was motivated by the possibility of making highly value-added pulp products from bagasse for the financial benefit of sugarcane millers and growers. The bagasse pulp and paper industry is a multibillion dollar industry (1). Bagasse pulp could replace eucalypt pulp which is more widely used in the local production of paper products. An opportunity exists for replacing the large quantity of mainly generic paper products imported to Australia. This includes 949,000 tonnes of generic photocopier papers (2). The use of bagasse pulp for paper manufacture is the main application area of interest for this study. Bagasse contains a large quantity of short parenchyma cells called ‘pith’. Around 30% of the shortest fibres are removed from bagasse prior to pulping. Despite the ‘depithing’ operations in conventional bagasse pulp mills, a large amount of pith remains in the pulp. Amongst Australian paper producers there is a perception that the high quantity of short fibres in bagasse pulp leads to poor filtration behaviour at the wet-end of a paper machine. Bagasse pulp’s poor filtration behaviour reduces paper production rates and consequently revenue when compared to paper production using locally made eucalypt pulp. Pulp filtration can be characterised by two interacting factors; permeability and compressibility. Surprisingly, there has previously been very little rigorous investigation into neither bagasse pulp permeability nor compressibility. Only freeness testing of bagasse pulp has been published in the open literature. As a result, this study has focussed on a detailed investigation of the filtration properties of bagasse pulp pads. As part of this investigation, this study investigated three options for improving the permeability and compressibility properties of Australian bagasse pulp pads. Two options for further pre-treating depithed bagasse prior to pulping were considered. Firstly, bagasse was fractionated based on size. Two bagasse fractions were produced, ‘coarse’ and ‘medium’ bagasse fractions. Secondly, bagasse was collected after being processed on two types of juice extraction technology, i.e. from a sugar mill and from a sugar diffuser. Finally one method of post-treating the bagasse pulp was investigated. The effects of chemical additives, which are known to improve freeness, were also assessed for their effect on pulp pad permeability and compressibility. Pre-treated Australian bagasse pulp samples were compared with several benchmark pulp samples. A sample of commonly used kraft Eucalyptus globulus pulp was obtained. A sample of depithed Argentinean bagasse, which is used for commercial paper production, was also obtained. A sample of Australian bagasse which was depithed as per typical factory operations was also produced for benchmarking purposes. The steady-state pulp pad permeability and compressibility parameters were determined experimentally using two purpose-built experimental rigs. In reality, steady-state conditions do not exist on a paper machine. The permeability changes as the sheet compresses over time. Hence, a dynamic model was developed which uses the experimentally determined steady-state permeability and compressibility parameters as inputs. The filtration model was developed with a view to designing pulp processing equipment that is suitable specifically for bagasse pulp. The predicted results of the dynamic model were compared to experimental data. The effectiveness of a polymeric and microparticle chemical additives for improving the retention of short fibres and increasing the drainage rate of a bagasse pulp slurry was determined in a third purpose-built rig; a modified Dynamic Drainage Jar (DDJ). These chemical additives were then used in the making of a pulp pad, and their effect on the steady-state and dynamic permeability and compressibility of bagasse pulp pads was determined. The most important finding from this investigation was that Australian bagasse pulp was produced with higher permeability than eucalypt pulp, despite a higher overall content of short fibres. It is thought this research outcome could enable Australian paper producers to switch from eucalypt pulp to bagasse pulp without sacrificing paper machine productivity. It is thought that two factors contributed to the high permeability of the bagasse pulp pad. Firstly, thicker cell walls of the bagasse pulp fibres resulted in high fibre stiffness. Secondly, the bagasse pulp had a large proportion of fibres longer than 1.3 mm. These attributes helped to reinforce the pulp pad matrix. The steady-state permeability and compressibility parameters for the eucalypt pulp were consistent with those found by previous workers. It was also found that Australian pulp derived from the ‘coarse’ bagasse fraction had higher steady-state permeability than the ‘medium’ fraction. However, there was no difference between bagasse pulp originating from a diffuser or a mill. The bagasse pre-treatment options investigated in this study were not found to affect the steady-state compressibility parameters of a pulp pad. The dynamic filtration model was found to give predictions that were in good agreement with experimental data for pads made from samples of pretreated bagasse pulp, provided at least some pith was removed prior to pulping. Applying vacuum to a pulp slurry in the modified DDJ dramatically reduced the drainage time. At any level of vacuum, bagasse pulp benefitted from chemical additives as quantified by reduced drainage time and increased retention of short fibres. Using the modified DDJ, it was observed that under specific conditions, a benchmark depithed bagasse pulp drained more rapidly than the ‘coarse’ bagasse pulp. In steady-state permeability and compressibility experiments, the addition of chemical additives improved the pad permeability and compressibility of a benchmark bagasse pulp with a high quantity of short fibres. Importantly, this effect was not observed for the ‘coarse’ bagasse pulp. However, dynamic filtration experiments showed that there was also a small observable improvement in filtration for the ‘medium’ bagasse pulp. The mechanism of bagasse pulp pad consolidation appears to be by fibre realignment. Chemical additives assist to lubricate the consolidation process. This study was complemented by pulp physical and chemical property testing and a microscopy study. In addition to its high pulp pad permeability, ‘coarse’ bagasse pulp often (but not always) had superior physical properties than a benchmark depithed bagasse pulp.
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Martinelli, Laure. "Influence de l'aération sur le colmatage des membranes immergées." Toulouse, INSA, 2006. http://eprint.insa-toulouse.fr/archive/00000323/.
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La thèse est consacrée à l’étude de l’influence de l’aération sur le colmatage de membranes fibres creuses immergées en filtration externe/interne. Dans une première partie on étudie la filtration de levures (0. 5 g. L-1) dans une cuve de 100 l avec une surface membranaire de 0. 032 m2. Deux types d’essais de filtration ont été réalisés, des essais à palier de flux de détermination des conditions critiques et des essais de filtration en conditions colmatantes. Ces essais ont été effectués sans aération et avec aération sous forme de fines bulles et de calottes d’air. La sensibilité du colmatage à la position et au débit de l’injection des fines bulles ainsi qu’aux fréquences et volumes de calottes a été analysée. L’étude de la filtration a inclus la sensibilité des performances de filtration au mouvement des fibres, des essais ayant été réalisés soit avec des fibres tendues soit avec des fibres lâches. Dans une deuxième partie, une étude locale expérimentale et numérique de l’hydrodynamique diphasique a été entreprise avec des outils d’analyse d’image, de P. I. V et avec le code de calcul FLUENT (modèle à deux fluides pour les fines bulles et modèle V. O. F. Pour les calottes). La synthèse des résultats de filtration et d’analyse de l’hydrodynamique induite par l’aération permet de proposer des mécanismes expliquant l’influence de l’aération sur le colmatage des fibres creuses immergées. Ce travail contribue à clarifier les paramètres hydrodynamiques globaux pertinents pour contrôler le colmatageThis thesis is about the influence of aeration on submerged hollow fibre membrane fouling in outside/in filtration. In a first part, yeast filtration (0. 5 g. L-1) is studied in a 100 l tank with a membrane area of 0. 32m2. Two types of filtration experiments were performed: critical condition determination with flux step method and filtration experiment under fouling condition. These experiments were performed without and with aeration with small and spherical cap bubbles. Fouling sensitivity to position and small bubble injection flow rate as well as to frequency and volume of spherical cap was analysed. Filtration experiments involve characterization of filtration efficiency with tight and loose fibres. In a second, part local experimental and numerical studies were performed thanks to the image analysis, P. I. V. Measurements and FLUENT numerical simulations (two-fluid model for small bubbles and V. O. F. Model for spherical cap bubbles). Filtration and hydrodynamics analysis results lead to the determination of mechanisms explaining aeration effect on submerged hollow fibre fouling. This study contributes to better understand the revelant global hydrodynamic parameters in order to control fouling
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Maciel, Hugo Emerich. "Avaliação de modelos de permeabilidade em meios porosos não consolidados." Universidade do Estado do Rio de Janeiro, 2015. http://www.bdtd.uerj.br/tde_busca/arquivo.php?codArquivo=9498.
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Conselho Nacional de Desenvolvimento Científico e TecnológicoAs simulações computacionais tem sido amplamente empregadas no estudo do escoamento darciano e não-darciano em meios porosos consolidados e não-consolidados. Neste trabalho, através de uma nova formulação para a equação de Forchheimer, foram identificadas duas novas propriedades denominados fator de comportamento do fluido, que atua paralelamente a permeabilidade, e permeabilidade equivalente global, resultado da relação anterior. Este comportamento foi estudado e validado através da implementação de um aparato experimental e um código computacional baseado no modelo de regressão-linear que, além disso, demonstrou que o escoamento, ainda que em regime não darciano, comporta-se linearmente como a equação de Darcy, ainda que o coeficiente angular desta diminuiu de acordo com a faixa do número de Reynolds atingida, sendo esta dependente do tipo de leito empregado. Ainda neste trabalho, foi implementado o método de otimização R2W para estimar os parâmetros da equação de Kozeny-Carman a partir de dados experimentais obtidos por Dias et al, a fim de simular o escoamento darciano em meios porosos. Por fim, foi alcançada excelente concordância entre os dados simulados pelo método R2W / equação de Kozeny-Carman e os dados reais.
Computer simulations have been widely used in the study of Darcys flow and non-Darcy porous media in consolidated and non-consolidated. In this work, through a new formulation for the Forchheimer equation, we have been identified two new called Fluid Factor Behavior properties, which acts parallel to permeability, and overall equivalent permeability result of the previous relationship. This behavior has been studied and validated through implementation of an experimental apparatus and a computer code based on the linear regression model, moreover, it demonstrated that flow, even in non darciano system behaves linearly as the Darcy, however, the slope of this decreased according to the range of Reynolds numbers reached, this being dependent on the type of bed used. Although this work was implemented R2W optimization method to estimate the parameters of Kozeny-Carman equation from experimental data provided in the literature in order to simulate the darciano flow in porous media. Finally, it achieved excellent agreement between the data simulated by R2W method / Kozeny-Carman equation and actual data.
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Rakotondrandisa, Aina. "Modélisation et simulation numérique de matériaux à changement de phase." Thesis, Normandie, 2019. http://www.theses.fr/2019NORMR051/document.
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Nous développons dans ce travail de thèse un outil de simulation numérique pour les matériaux à changement de phase (MCP), en tenant compte du phénomène de convection naturelle dans la phase liquide, pour des configurations en deux et trois dimensions. Les équations de Navier-Stokes incompressible avec le modèle de Boussinesq pour la prise en compte des forces de flottabilité liées aux effets thermiques, couplées avec une formulation de l’équation d’énergie suivant la méthode d’enthalpie, sont résolues par une méthode d’éléments finis adaptatifs. Une approche mono-domaine, consistant à résoudre les mêmes systèmes d’équations dans les phases solide et liquide, est utilisée. La vitesse est ramenée à zéro dans la phase solide, en introduisant un terme de pénalisation dans l’équation de quantité de mouvement, suivant le modèle de Carman-Kozeny, consistant à freiner la vitesse à travers un milieu poreux. Une discrétisation spatiale des équations utilisant des éléments finis de Taylor-Hood, éléments finis P2 pour la vitesse et éléments finis P1 pour la pression, est appliquée, avec un schéma d’intégration en temps implicite d’ordre deux (GEAR). Le système d’équations non-linéaires est résolu par un algorithme de Newton. Les méthodes numériques sont implémentées avec le logiciel libre FreeFem++ (www.freefem.org), disponible pour tout système d’exploitation. Les programmes sont distribués sous forme de logiciel libre, sous la forme d’une forme de toolbox simple d’utilisation, permettant à l’utilisateur de rajouter d’autres configurations numériques pour des problèmes avecchangement de phase. Nous présentons dans ce manuscrit des cas de validation du code de calcul, en simulant des cas tests bien connus, présentés par ordre de difficulté croissant : convection naturelle de l’air, fusion d’un MCP, le cycle complet fusion-solidification, chauffage par le bas d’un MCP, et enfin, la solidification de l’eauIn this thesis we develop a numerical simulation tool for computing two and three-dimensional liquid-solid phase-change systems involving natural convection. It consists of solving the incompressible Navier-Stokes equations with Boussinesq approximation for thermal effects combined with an enthalpy-porosity method for the phase-change modeling, using a finite elements method with mesh adaptivity. A single-domain approach is applied by solving the same set of equations over the whole domain. A Carman-Kozeny-type penalty term is added to the momentum equation to bring to zero the velocity in the solid phase through an artificial mushy region. Model equations are discretized using Galerkin triangular finite elements. Piecewise quadratic (P2) finite-elements are used for the velocity and piecewise linear (P1) for the pressure. The coupled system of equations is integrated in time using a second-order Gear scheme. Non-linearities are treated implicitly and the resulting discrete equations are solved using a Newton algorithm. The numerical method is implemented with the finite elements software FreeFem++ (www.freefem.org), available for all existing operating systems. The programs are written and distributed as an easy-to-use open-source toolbox, allowing the user to code new numerical algorithms for similar problems with phase-change. We present several validations, by simulating classical benchmark cases of increasing difficulty: natural convection of air, melting of a phase-change material, a melting-solidification cycle, a basal melting of a phase-change material, and finally, a water freezing case
Book chapters on the topic "Carman-Kozeny"
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Kruczek, Boguslaw. "Carman–Kozeny Equation." In Encyclopedia of Membranes. Springer Berlin Heidelberg, 2016. http://dx.doi.org/10.1007/978-3-662-44324-8_1995.
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Kruczek, Boguslaw. "Carman–Kozeny Equation." In Encyclopedia of Membranes. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-40872-4_1995-1.
Full textConference papers on the topic "Carman-Kozeny"
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Haro, Carlos Fabian. "Permeability Modeling. Setting Archie and Carman-Kozeny Right." In SPE Europec/EAGE Annual Conference and Exhibition. Society of Petroleum Engineers, 2006. http://dx.doi.org/10.2118/100200-ms.
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Haro, Carlos Fabian. "Permeability Modeling. Setting Archie and Carman-Kozeny Right." In International Oil Conference and Exhibition in Mexico. Society of Petroleum Engineers, 2007. http://dx.doi.org/10.2118/100201-ms.
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Srisutthiyakorn*, Nattavadee, and Gary Mavko. "An Improved Kozeny-Carman for Irregular Pore Geometries." In SEG Technical Program Expanded Abstracts 2015. Society of Exploration Geophysicists, 2015. http://dx.doi.org/10.1190/segam2015-5914145.1.
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Srisutthiyakorn, Nattavadee, and Gary Mavko. "The revised Kozeny-Carman equation: A practical way to improve permeability prediction in the Kozeny-Carman equation through pore-size distribution." In SEG Technical Program Expanded Abstracts 2017. Society of Exploration Geophysicists, 2017. http://dx.doi.org/10.1190/segam2017-17750852.1.
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Soares, Átila Saraiva Quintela, and Joelson Conceição. "Inversão da equação de Kozeny-Carman para meios porosos fractais." In Simpósio Brasileiro de Geofísica. Brazilian Geophysical Society, 2018. http://dx.doi.org/10.22564/8simbgf2018.103.
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Srivardhan, V., B. B. Singh, and D. Mondal. "Permeability Estimation Using a Fractal and Modified Kozeny-Carman Model." In 79th EAGE Conference and Exhibition 2017. EAGE Publications BV, 2017. http://dx.doi.org/10.3997/2214-4609.201701392.
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Anbar, Sultan, Mayank Tyagi, and Karsten Thompson. "Investigation of Compaction and Sand Migration Effect on Permeability and Non-Darcy Coefficient With Pore-Scale Simulations." In ASME 2015 34th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/omae2015-42081.
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Compaction and sand migration are some of the main problems for the loosely consolidated and unconsolidated high rate gas reservoirs. A reliable estimation of the well productivity depends on accurate modeling of permeability and inertial effects. Therefore, the key objective of this paper is to quantify the flow parameters change in the case of compaction and sand migration, and the development of permeability and the non-Darcy coefficient correlations that can be used in reservoir simulations. The compaction effects are simulated by increasing grains diameters with the same ratio. Permeability and the non-Darcy coefficients are calculated from lattice Boltzmann method (LBM). Results indicate that permeability decrease is not directional and the change in permeability can be estimated from porosity change with a Kozeny-Carman type relation with an exponent of 3.2. A Kozeny-Carman type relation between the non-Darcy coefficient and permeability is also found with an exponent −1.303. For high compressibility reservoirs, estimation of the inertial effects from the correlations developed as a function of permeability and porosity may also lead to underestimation of the inertial effects. Sand migration causes pore-throat plugging that leads to significant reduction in permeability. Permeability impairment due to sand or fines migration is usually estimated from Kozeny-Carman type relation based on porosity. There is no study in the literature on how the inertial effects are changed with permeability impairment due to sand or fines migration. Sand particle plugging locations are found from the network simulations for different pore volume reduction, and corresponding permeability and the non-Darcy coefficient are calculated from LBM. It is found that permeability change with sand plugging is direction dependent: permeability reduction in the flow direction is twice compared to other directions. Porosity reduction does not depend on only pore-throat plugging, porosity can be decrease due to compaction and pore-surface deposition. Therefore, a correlation is developed to estimate permeability from pore-throat sand concentration. Even though permeability change is directional, the trend between permeability and the non-Darcy coefficient is similar and the magnitude of exponent in Kozeny-Carman type relation is larger, −1.803, compared to that of compaction.
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Kobayashi, Ichizo, Hitoshi Owada, and Tomoko Ishii. "Hydraulic/Mechanical Modeling of Smectitic Materials for HMC Analytical Evaluation of the Long Term Performance of TRU Geological Repository." In ASME 2011 14th International Conference on Environmental Remediation and Radioactive Waste Management. ASMEDC, 2011. http://dx.doi.org/10.1115/icem2011-59090.
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Aiming at evaluation of the long term performance of transuranic (TRU) geological repositories, the hydraulic/mechanical/chemical (HMC) analysis method has been studied. In this phase of research (four years) the hydraulic/mechanical modeling of smectitic materials for HMC analyses has been studied. In this paper, new experimental methods for investigation of the hydraulic/mechanical behavior of smectitic materials were developed. For hydraulic modeling, the measurement method of the specific surface area of compacted smectitic materials was developed using X-ray diffraction (XRD). The results of the method were applied to the Kozeny-Carman law. Since the specific surface area represents the microstructure of smectitic materials such as the degree of swelling, it was found that the Kozeny-Carman law using measured specific surface area of compacted smectitic materials was useful in evaluating the hydraulic performance of smectitic materials. Moreover, since the Kozeny-Carman law can take the alteration of content of pore water into consideration by not only a coefficient of viscosity but also by changes in specific surface area, the Kozeny-Carman law will be more suitable to chemical and mechanical couple analyses than the ordinary Darcy’s law. For the mechanical modeling, the procedure of one dimensional exhausting compression test was developed. The tests gave the dry density and compression stress relation in the state of full-saturation of smectitic materials with varying water content. The relations between the dry density and compression stress in the state of fully-saturation were termed fully saturation lines. The group of isograms of degree of saturation and water content were also given with this test. It was found that the fully-saturation line is consistent with swelling deformation-pressure relation in the equilibrium state. The results indicated that the swelling deformation-pressure relation does not depend on the saturation manner, such as the injecting of water or exhausting of air due to compression. There will be, therefore, the possibility that the swelling deformation-pressure relation will be state functions and independent on the stress history. The fully-saturation line was compared with the equilibrium swelling pressure and dry density relation calculated from chemical potential by Sato (2008). Both were consistent with each other. It was found that the swelling behavior of smectitic materials can be treated as a state function in the mechanical analysis.
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Alpak, Faruk O., Larry W. Lake, and Sonia M. Embid. "Validation of a Modified Carman-Kozeny Equation To Model Two-Phase Relative Permeabilities." In SPE Annual Technical Conference and Exhibition. Society of Petroleum Engineers, 1999. http://dx.doi.org/10.2118/56479-ms.
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Schlueter, EM, and PA Witherspoon. "Note on the validity of the Kozeny‐Carman formulas for consolidated porous media." In SEG Technical Program Expanded Abstracts 1995. Society of Exploration Geophysicists, 1995. http://dx.doi.org/10.1190/1.1887389.
Full textReports on the topic "Carman-Kozeny"
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Schlueter, E. M., and P. A. Witherspoon. Note on the validity of the Kozeny-Carman formulas for consolidated porous media. Office of Scientific and Technical Information (OSTI), 1994. http://dx.doi.org/10.2172/10113412.
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