Made available in DSpace on 2015-03-26T13:28:40Z (GMT). No. of bitstreams: 1 texto completo.pdf: 2996441 bytes, checksum: f739a460b120b46bfec2445936cf3edb (MD5) Previous issue date: 2007-03-20 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / In tropical countries, like Brazil, soils in non saturated condition are frequently encountered. Besides, the majority of geotechnical works load the ground according to stress paths in which the three principal stresses are different and vary independently. Therefore, the need to develop equipments able to test in the laboratory non saturated soil samples following these stress paths. In this thesis, a new cubic triaxial cell is presented. The equipment was developed to test soil samples in dry, saturated or with matric suction controlled conditions. Results of a test program realized with the new equipment in a young residual soil samples are presented. A bibliographic review is made dealing with axisymmetrical and cubical triaxial equipments able to test soil samples in non saturated conditions, and principal features of non saturated soil behavior. Following, components of the cubical triaxial device are described in full detail and, in the next Chapter, the main characteristics of the young residual soil tested, as well as the methodology used during the test program, are presented. Finally, test results are presented and discussed, including tests with saturated and non saturated soil samples, realized in conventional stress paths in which two principal stresses are equal, and in non conventional stress paths in which the three principal stresses vary independently. The main conclusions state that the developed equipment is working adequately and seems to be appropriate to study the behavior of non saturated soils. / Em países de clima tropical como o Brasil, frequentemente, se encontram solos em condições não-saturadas. Além disso, a maioria das obras geotécnicas solicita o solo em trajetórias de tensão nas quais as três tensões principais são diferentes e variam independentemente. Daí a necessidade de se construir equipamentos capazes de ensaiar no laboratório amostras de solos não saturados seguindo essas trajetórias de tensão. Nesse trabalho, um novo equipamento triaxial cúbico é apresentado. O equipamento foi desenvolvido para ensaiar amostras de solo em condições secas, saturadas ou com sucção matricial controlada. Faz-se uma revisão bibliográfica sobre equipamentos triaxiais assimétricos e cúbicos capazes de ensaiar solos não-saturados, e sobre aspectos importantes do comportamento de solos não saturados. Em seguida, apresentam-se e descrevem-se todos os elementos que compõem a célula triaxial cúbico sedo feita uma descrição detalhada de todo o equipamento. O Capítulo seguinte apresenta as principais características do solo residual jovem ensaiado, bem como a metodologia usada durante a realização do programa de ensaios. Finalmente, apresentam-se e discutem-se os resultados dos ensaios realizados com o solo residual em condições saturadas, não saturadas, em trajetórias de tensão convencionais, em que duas tensões principais são iguais, e em trajetórias não convencionais, nas quais as três tensões principais variam independentemente. As principais conclusões apontam que o equipamento desenvolvido está funcionando adequadamente e parece ser muito apropriado para estudar o comportamento de solos não saturados.

Made available in DSpace on 2014-10-09T12:27:11Z (GMT). No. of bitstreams: 0 / Made available in DSpace on 2014-10-09T13:57:37Z (GMT). No. of bitstreams: 0 / Dissertacao (Mestrado) / IPEN/D / Instituto de Pesquisas Energeticas e Nucleares - IPEN-CNEN/SP

Le but de cette thèse est d'étudier le transport et le dépôt de particules solides dans les écoulements à travers les fractures. Dans un premier temps, l'écoulement monophasique à travers les fractures est étudié afin d'évaluer la validité de la loi cubique locale comme modèle de l'écoulement. Des canaux à parois sinusoïdales à géométrie variable sont utilisés pour représenter différents types de fractures. Un premier développement analytique montre que l'ouverture hydraulique de la fracture diffère de son ouverture moyenne lorsque la rugosité des parois est élevée. La méthode des éléments finis est ensuite utilisée pour résoudre les équations de continuité et de Navier-Stokes et comparer les solutions numériques aux prédictions théoriques de la loi cubique locale sur une gamme relativement étendue de nombres de Reynolds Re. Pour de faibles Re, typiquement inférieurs à 15, la loi cubique locale décrit raisonnablement l'écoulement, surtout lorsque la rugosité et le déphasage entre les parois sont relativement faibles. Dans un deuxième temps, les écoulements chargés de particules sont étudiés. Une approche analytique est d'abord développée pour montrer comment des particules distribuées dans un écoulement stationnaire et laminaire à travers une fracture peuvent être transportées sur de longues distances ou au contraire se déposer à l'intérieur. Plus précisément, une équation simple décrivant la trajectoire d'une particule est établie. Sur la base de cette équation, il est démontré que, quand l'inertie des particules est négligeable, leur comportement dépend directement de la géométrie de la fracture et d'un nombre adimensionnel W qui relie la vitesse de sédimentation des particules à la vitesse moyenne de l'écoulement. L'équation proposée est vérifiée en comparant ses prédictions à des simulations numériques de suivi de particules prenant en compte l'inertie des particules et résolvent complètement les équations de Navier-Stokes. Il est montré que l'équation est valide lorsque l'inertie du fluide est faible. Des diagrammes de régimes, permettant de prévoir le comportement des particules à travers la fracture sont proposés. Enfin, un appareil expérimental conçu dans le but d'effectuer une évaluation pratique du modèle analytique est présenté et les résultats préliminaires sont discutés. Les résultats expérimentaux préliminaires tendent valider le modèle analytique. De façon plus générale, les résultats obtenus à travers ce travail de thèse font progresser nos connaissances du comportement des petites particules transportées dans les écoulements de fractures. Potentiellement, ce travail devrait permettre d'améliorer notre prévision de la pollution souterraine, et peut avoir des applications dans le développement de nouvelles techniques de filtration de l'eau et de séparation des minéraux / The aim of the present thesis is to study the transport and deposition of small solid particles in fracture flows. First, single-phase fracture ow is investigated in order to assess the validity of the local cubic law for modeling ow in corrugated fractures. Channels with sinusoidal walls having different geometrical properties are considered to represent different fracture geometries. It is analytically shown that the hydraulic aperture of the fracture clearly deviates from its mean aperture when the walls roughness is relatively high. The finite element method is then used to solve the continuity and the Navier-Stokes equations and to simulate fracture ow in order to compare with the theoretical predictions of the local cubic law for Reynolds numbers Re in the range 0.067-67. The results show that for low Re, typically less than 15, the local cubic law can properly describe the fracture ow, especially when the fracture walls have small corrugation amplitudes. For Re higher than 15, the local cubic law can still be valid under the conditions that the fracture presents a low aspect ratio, small corrugation amplitude, and moderate phase lag between its walls. Second, particle-laden flows are studied. An analytical approach has been developed to show how particles sparsely distributed in steady and laminar fracture flows can be transported for long distances or conversely deposited inside the channel. More precisely, a rather simple particle trajectory equation is established. Based on this equation, it is demonstrated that when particles' inertia is negligible, their behavior is characterized by the fracture geometry and by a dimensionless number W that relates the ratio of the particles sedimentation terminal velocity to the ow mean velocity. The proposed particle trajectory equation is verified by comparing its predictions to particle tracking numerical simulations taking into account particle inertia and resolving the full Navier-Stokes equations. The equation is shown to be valid under the conditions that ow inertial effects are limited. Based on this trajectory equation, regime diagrams that can predict the behavior of particles entering closed channel flows are built. These diagrams enable to forecast if the particles entering the channel will be either deposited or transported till the channel outlet. Finally, an experimental apparatus that was designed to have a practical assessment of the analytical model is presented. Preliminary experimental results tend to verify the analytical model. Overall, the work presented in this thesis give new insights on the behavior of small particles in fracture flows, which may improve our prediction and control of underground contamination, and may have applications in the development of new water filtration and mineral separation techniques

A presente tese tem como objetivo analisar as relações entre as variáveis educacionais e a desigualdade de renda no Brasil e suas repercussões no que se refere a mobilidade intergeracional educacional e intrageracional de renda. O objetivo específico é o de verificar como a mobilidade intergeracional educacional e intrageracional de renda se diferencia regionalmente e de que modo se distingue entre os migrantes e não migrantes. Os resultados sugerem que a desigualdade de renda e de capital humano têm uma relação positiva não linear. Nas áreas onde o indicador de desigualdade de capital humano é maior, a influência dos pais nos mais baixos estratos educacionais é grande se comparado as regiões onde a desigualdade educacional é mais baixa. De um modo geral, nas regiões e estados mais pobres, os pais menos qualificados têm maior influência sobre a trajetória educacional de seus filhos. Em paralelo na região onde os estados têm os mais altos indicadores de desigualdade educacional apresenta a menor mobilidade de renda dentre as regiões analisadas. Os pais migrantes com baixa escolaridade têm uma influência menor sobre a educação dos seus filhos que seus equivalentes nas áreas de origem. E por último, os migrantes têm uma mobilidade de renda maior que a população de suas áreas de origem o que sugere uma seletividade positiva destes. / This thesis aims to analyze the relationship between educational variables and income inequality in Brazil and its repercussion related to educational and income mobility. The specific goal is to verify how the income mobility and human capital accumulation behave considering the regional differences in Brazil and migrant and native population. The results show a non-linear and positive relationship between income and human capital inequality. In the areas where the human capital inequality is higher, parents with no schooling have more influence than in the places where educational inequality is lower. At same time, the income mobility is higher in the Center and Southeast regions e lower in Northeast. The migrant parents with low schooling have less influence over the child schooling in comparison with the equivalents in their origin region. population has higher income mobility than non-migrant.

Submitted by Matheus Faria (mathnf@gmail.com) on 2014-08-14T21:19:09Z No. of bitstreams: 1 Dissertacao Matheus Nascif.pdf: 1111352 bytes, checksum: 57093d0997e459e3be627507d6928945 (MD5) / Approved for entry into archive by Gisele Gammaro (gisele.gammaro@fgv.br) on 2014-08-29T17:24:12Z (GMT) No. of bitstreams: 1 Dissertacao Matheus Nascif.pdf: 1111352 bytes, checksum: 57093d0997e459e3be627507d6928945 (MD5) / Approved for entry into archive by Gisele Gammaro (gisele.gammaro@fgv.br) on 2014-08-29T17:41:07Z (GMT) No. of bitstreams: 1 Dissertacao Matheus Nascif.pdf: 1111352 bytes, checksum: 57093d0997e459e3be627507d6928945 (MD5) / Made available in DSpace on 2014-09-23T13:55:26Z (GMT). No. of bitstreams: 1 Dissertacao Matheus Nascif.pdf: 1111352 bytes, checksum: 57093d0997e459e3be627507d6928945 (MD5) Previous issue date: 2014-05-30 / This paper explores an important concept developed by Breeden & Litzenberger in which extract information contained in interest options in the Brazilian IDI Option market. It will be demonstrated the IDI Option Behavior under the Securities, Commodities and Futures Exchange (BM & FBOVESPA) before and after the Central Bank Meetings on the Selic Rate. The method involved determines the probability distribution through the prices of options after calculating the implied volatility surface IDI. It uses two common techniques on the market: Cubic Spline interpolation and Black (1976). / Este trabalho explora um importante conceito desenvolvido por Breeden & Litzenberger para extrair informações contidas nas opções de juros no mercado brasileiro (Opção Sobre IDI), no âmbito da Bolsa de Valores, Mercadorias e Futuros de São Paulo (BM&FBOVESPA) dias antes e após a decisão do COPOM sobre a taxa Selic. O método consiste em determinar a distribuição de probabilidade através dos preços das opções sobre IDI, após o cálculo da superfície de volatilidade implícita, utilizando duas técnicas difundidas no mercado: Interpolação Cúbica (Spline Cubic) e Modelo de Black (1976). Serão analisados os quatro primeiros momentos da distribuição: valor esperado, variância, assimetria e curtose, assim como suas respectivas variações.

Le polytype cubique du carbure de silicium (3C-SiC) est un matériau très prometteur pour les applications MEMS. En plus de sa tenue mécanique et chimique, il peut être épitaxié sur des substrats Si de faible coût. De plus, l'hétéroépitaxie multiple, c’est-à-dire quand on empile plusieurs couches Si et 3C-SiC peut ouvrir des pistes pour de nouveaux dispositifs à base de 3C-SiC. Vue la complexité de développer de telles hétérostructures, nous avons procédé à l'amélioration de la qualité de chaque couche séparément. De plus, nous avons mené une étude approfondie sur la nature des défauts dans chaque couche. Après le développement de l'hétérostructure complète, nous avons procédé à la fabrication de microstructures à base de cet empilement. Nous présentons une méthode inédite pour former des membranes de 3C-SiC auto-supportées. Cette technique simplifie considérablement le procédé de fabrication de membranes tout en réduisant le temps de fabrication et le coût. En outre, elle aide à surmonter plusieurs problèmes techniques. / Due to its outstanding physico-chemical properties, the cubic polytype of silicon carbide (3C-SiC) gained significant interest in several fields. In particular, this material emerged as a potential candidate to replace Si in MEMS devices operating in harsh environment. The development of 3C-SiC/Si/3C-SiC heterostructures on top of Si substrate can pave the road towards original and novel MEMS devices profiting from the properties of the 3C-SiC. However, such epitaxial system suffers from wide range of defects characterizing each layer. Thus, we first tried to improve the quality of each layer in this heterostructure. This was achieved relying on two levers; (i) the optimization of the growth parameters of each layer and (ii) the understanding of the nature of defects present in each layer. These two key points combined together allowed an in-depth understanding of the limit of improvement of the overall quality of this heterostructure. After the development of the complete heterostructure, the fabrication of 3C-SiC microstructures was performed. Furthermore, we presented an unprecedented method to form free-standing 3C-SiC membranes in-situ during its growth stage. This novel technique is expected to markedly simplify the fabrication process of suspended membranes by reducing the fabrication time and cost.

Le mélange de solutés par les écoulements en milieux poreux contrôle les réactions chimiques dans un grand nombre d'applications souterraines, dont le transport et la remédiation des contaminants, le stockage et l'extraction souterrains d'énergie, et la séquestration du CO2. Nous étudions les mécanismes du mélange à l'échelle du pore et plus précisément comment la topologie de l'écoulement est reliée à la dynamique du mélange d'espèces conservatives; en particulier, l'émergence d'un mélange chaotique est-elle possible dans un milieu poreux tridimensionnel (3D) ? Nous calculons donc numériquement ou mesurons expérimentalement les vitesses d'écoulement et l'évolution temporelle des champs de concentration afin de caractériser la déformation et le mélange à l'échelle du pore. Une première étude, expérimentale, permet de caractériser le mélange dans un fluide s’écoulant à travers un milieu poreux bidimensionnel (2D). Nous mesurons les vitesses par suivi de microparticules solides (''PTV''). L’évolution temporelle de la distance séparant deux particules permet de caractériser la dynamique de la déformation lagrangienne. Des mesures de transport conservatif dans le même milieu fournissent l'évolution temporelle du gradient de concentration moyen (une mesure du mélange). À partir de ces résultats expérimentaux nous proposons la première validation expérimentale à l'échelle du pore de la théorie lamellaire du mélange, reliant les propriétés de la déformation du fluide à la dynamique du mélange. Dans une deuxième étude nous examinons les conditions d'apparition du mélange chaotique dans l’écoulement dans des milieux poreux 3D granulaires ordonnés. Nous effectuons des calculs numériques hautement résolus de d'écoulement de Stokes entre des sphères empilées selon une structure cristalline (cubique simple ou cubique centrée), périodique. La déformation lagrangienne, obtenue à partir des champs de vitesse à l'aide d'outils numériques développés spécifiquement, met en lumière une large variété de dynamiques de la déformation dans ces milieux 3D, selon l'orientation de l'écoulement. Quand la direction de l'écoulement n'est pas normale à l'un des plans de symétrie de réflection du cristal, l'évolution temporelle de la déformation est exponentielle, traduisant une advection chaotique. L’émergence (ou non) du chaos est contrôlée par un mécanisme similaire à la ''transformation du boulanger'': les particules fluides se déplaçant autour d'un grain solide se retrouvent séparées par une surface virtuelle (appelée “variété”) qui émerge de la surface du grain. De multiples variétés existent dans l’écoulement, et la façon dont elles s'intersectent contrôle la nature - chaotique ou non - du mélange, et l'intensité du chaos. En particulier, l'exposant de Lyapunov (une mesure du chaos), est contrôlé par la fréquence spatiale des intersections appropriées à la génération du chaos, nommées ''connections hétéroclinines'' entre variétés. L'image conventionnelle, 2D, des mécanismes du mélange, impose des contraintes topologiques qui ne permettent pas le développement de ces mécanismes 3D. Elle pourrait donc être inadaptée aux milieux poreux naturels. La troisième étude a deux objectifs: (i) fournir une preuve expérimentale de la nature chaotique de l'advection, par la visualisation des variétés et par l'obtention d'une mesure de l'exposant de Lyapunov; et (ii), évaluer si nos résultats numériques obtenus pour des milieux granulaires ordonnés peuvent être généralisés à des milieux désordonnés, plus proches des milieux naturels. L’expérience est fondée sur un empilement désordonné de sphères rendu transparent par l'ajustement optique du liquide avec les sphères. La fluorescence induite par laser (''LIF'') permet de détecter les variétés au sein de l'écoulement, et des techniques PTV de mesurer les vitesses d'écoulement et quantifier l'exposant de Lyapunov. Les premiers résultats expérimentaux sont prometteurs. / Solute mixing in porous media flows plays a central role in driving chemical reactions in a number of subsurface applications, including contaminant transport and remediation, subsurface energy storage and extraction, and CO2 sequestration. We study the mechanisms of solute mixing, in particular how the pore scale flow topology is related to the mixing dynamics of conservative solutes, with a particular emphasis on the possible emergence of chaotic mixing processes in three-dimensional (3D) porous media. To do so, we perform numerical computations or experimental measurements of the flow velocities and temporal evolution of the concentration fields, and characterize fluid deformation and mixing at the pore scale. This PhD work consists of three main studies. In the first study, we experimentally characterize mixing in a fluid flowing through a two-dimensional (2D) porous medium built by lithography. We measure the velocity distributions from Particle Tracking Velocimetry (PTV). The time evolution of the separation distance between two particles is analyzed to characterize the Lagrangian deformation dynamics. In parallel we perform conservative transport experiments with the same porous media, and quantify the temporal evolution of the mean concentration gradient, which is a measure of the mixing rate. From these experimental results we obtain the first experimental pore scale validation of the lamella mixing theory, which relates the fluid deformation properties to the mixing dynamics. In the second study, we investigate the conditions of emergence of chaotic mixing in the flow through 3D ordered granular porous media. In these periodic cubic crystalline packings (Simple Cubic - SC - and Body-Centered Cubic - BCC) of spheres, we are able to perform highly resolved computations of the 3D Stokes flow. Using custom-developed numerical tools to measure the Lagrangian deformation from the computed velocity fields, we uncover the existence of a rich array of Lagrangian deformation dynamics in these 3D media, depending on the flow orientation. When the flow direction is not normal to one of the reflection symmetry planes of the crystalline lattice, we find that the Lagrangian deformation dynamics follow an exponential law, which indicates chaotic advection. This chaotic behavior is controlled by a mechanism akin to the baker's transformation: fluid particles traveling around a solid grain along different paths end up either separated by, or on the same side of, a virtual surface projecting from the grain surface and called a manifold. Multiple such manifolds exist within the flow, and the way they intersect controls the nature of mixing (that is, either non-chaotic or chaotic), and the strength of chaos. We show in particular that the magnitude of the Lyapunov exponent (a measure of the vigor of chaos) is controlled by the spatial frequency of transverse connections between the manifolds (called heteroclinic intersections). We thus demonstrate that the conventional 2D picture of the mechanisms of mixing may not be adapted for natural porous media because that picture imposes topological constraints which cannot account for these important 3D mechanisms. The third study has two objectives: (i) provide experimental evidence of the chaotic nature of pore scale advection/mixing, both by visualizing the manifolds and by obtaining a quantitative estimate of the Lyapunov exponent; and (ii) assess if the results obtained numerically in ordered packings of spheres extend to random packings, which are closer to natural porous media. The experiment features a random packing of glass beads rendered transparent by optical index-matching between the fluid and solid grains. We use Laser Induced Fluorescence (LIF) to detect the manifolds, and PTV techniques to measure flow velocities and subsequently quantify Lyapunov exponent. The first experimental results are promising.

A descoberta de petróleo na camada de Pré-Sal possibilita a geração de ganhos em relação à dependência energética do país, mas também grandes desafios econômicos e tecnológicos. Os custos de extração são maiores devido a vários fatores como a exigência de equipamentos de exploração que suportem elevadas pressões, altas temperaturas e grandes concentrações de gases ácidos, tais quais, dióxido de carbono (CO2) e sulfeto de hidrogênio (H2S). Uma das principais preocupações com o CO2 é evitar liberá-lo para a atmosfera durante a produção. Com a modelagem termodinâmica de dados de equilíbrio de sistemas envolvendo CO2 supercrítico e hidrocarbonetos é possível projetar equipamentos utilizados em processos de separação. A principal motivação do trabalho é o levantamento de dados de equilíbrio de fases de sistemas compostos de CO2 e hidrocarbonetos, possibilitando assim prever o comportamento dessas misturas. Os objetivos específicos são a avaliação do procedimento experimental, a estimação e predição dos parâmetros de interação binários para assim prever o comportamento de fases dos sistemas ternários envolvendo CO2 e hidrocarbonetos. Duas metodologias foram utilizadas para obtenção dos dados de equilíbrio: método estático sintético (visual) e método dinâmico analítico (recirculação das fases). Os sistemas avaliados foram: CO2 + n-hexano, CO2 + tetralina, CO2 + n-hexadecano, CO2 + n-hexano + tetralina e CO2 + tetralina + n-hexadecano à alta pressão; tetralina + n-hexadecano à baixa pressão. Para o tratamento dos dados foi utilizada equação de estado cúbica de Peng-Robinson e a regra de mistura clássica / The discovery of oil in the pre-salt layer enables the generation of earnings in relation to the energy dependence of the country, but also large economic and technological challenges. Extraction costs are higher due to various factors such as the demand for mining equipment capable of withstanding high pressures, high temperatures and high concentrations of acid gases, as such, carbon dioxide (CO2) and hydrogen sulfide (H2S). A major concern with CO2 is to avoid releasing it into the atmosphere during production. With the thermodynamic equilibrium modeling systems involving data supercritical CO2 and hydrocarbon is possible to design equipment used in separation processes. The main motivation is the data collection phase equilibrium compounds CO2 systems and hydrocarbons, thus enabling predict the behavior of these mixtures. The specific objectives are to assess the experimental procedure, the estimation and prediction of binary interaction parameters so as to predict the behavior of phases of ternary systems involving CO2 and hydrocarbons. Two methodologies were used to obtain the equilibrium data: synthetic static method (visual) and analytical dynamic method (recycling phase). The systems were evaluated: CO2 + n-hexane, CO2 + tetralin, CO2 + n-hexadecane, CO2 + n-hexane + tetralin, and CO2 + tetralin + n-hexadecane at high pressure; tetralin + n-hexadecane at low pressure. For the treatment of the data was used cubic equation of state of Peng-Robinson and the classical mixing rule

Made available in DSpace on 2016-06-02T20:28:26Z (GMT). No. of bitstreams: 1 3788.pdf: 684718 bytes, checksum: 743ac325dfb93fd96a6cc9b15d66467d (MD5) Previous issue date: 2011-05-27 / Financiadora de Estudos e Projetos / In this work, we study the result of global well-Posedness for the cubic wave equation @2 t u&#56256;&#56320;_u+u3 = 0 in R_R3, where the Cauchy data is in the Sobolev space Hs(R3)_ Hs&#56256;&#56320;1(R3) with 13 18 < s < 1. The proof is based on the work of T. Roy, [23], in this paper Roy propose a almost conservation law for the energy and from this he get a inequality that together with the local well-posedness theory proved by Lindbald and Sogge in [18] guarantee the global well-posedness for the problem. / Neste trabalho estudamos um resultado de boa colocação global para a equação da onda cúbica &#948;(_t^2)u-&#8710;_u+U^3=0 em R_R3, no qual os dados de Cauchy estão no espaço de Sobolev Hs(R3) x Hs&#56256;&#56320;1(R3), para 13 18 < s < 1. A prova é baseada no rabalho de T. Roy, [23], nele é estabelecido uma lei de quase conservação de energia e a partir disso se obtém uma desigualdade que aliada a teoria da boa colocação local estabelecida por Lindbald e Sogge em [18] garante a boa colocação global para o problema.

A presente tese tem como objetivo analisar as relações entre as variáveis educacionais e a desigualdade de renda no Brasil e suas repercussões no que se refere a mobilidade intergeracional educacional e intrageracional de renda. O objetivo específico é o de verificar como a mobilidade intergeracional educacional e intrageracional de renda se diferencia regionalmente e de que modo se distingue entre os migrantes e não migrantes. Os resultados sugerem que a desigualdade de renda e de capital humano têm uma relação positiva não linear. Nas áreas onde o indicador de desigualdade de capital humano é maior, a influência dos pais nos mais baixos estratos educacionais é grande se comparado as regiões onde a desigualdade educacional é mais baixa. De um modo geral, nas regiões e estados mais pobres, os pais menos qualificados têm maior influência sobre a trajetória educacional de seus filhos. Em paralelo na região onde os estados têm os mais altos indicadores de desigualdade educacional apresenta a menor mobilidade de renda dentre as regiões analisadas. Os pais migrantes com baixa escolaridade têm uma influência menor sobre a educação dos seus filhos que seus equivalentes nas áreas de origem. E por último, os migrantes têm uma mobilidade de renda maior que a população de suas áreas de origem o que sugere uma seletividade positiva destes. / This thesis aims to analyze the relationship between educational variables and income inequality in Brazil and its repercussion related to educational and income mobility. The specific goal is to verify how the income mobility and human capital accumulation behave considering the regional differences in Brazil and migrant and native population. The results show a non-linear and positive relationship between income and human capital inequality. In the areas where the human capital inequality is higher, parents with no schooling have more influence than in the places where educational inequality is lower. At same time, the income mobility is higher in the Center and Southeast regions e lower in Northeast. The migrant parents with low schooling have less influence over the child schooling in comparison with the equivalents in their origin region. population has higher income mobility than non-migrant.