Quantum trajectories are investigated within the complex quantum Hamilton-Jacobi formalism. A unified description is presented for complex quantum trajectories for one-dimensional time-dependent and time-independent problems. Complex quantum trajectories are examined for the free Gaussian wave packet, the coherent state in the harmonic potential, and the the barrier scattering problems. We analyze the variations of the complex-valued kinetic energy, the classical potential, and the quantum potential along the complex quantum trajectories. For one-dimensional time-independent scattering problems, we demonstrate general properties and similar structures of the complex quantum trajectories and the quantum potentials. In addition, it is shown that a quantum vortex forms around a node in the wave function in complex space, and the quantized circulation integral originates from the discontinuity in the real part of the complex action. Although the quantum momentum field displays hyperbolic flow around a node, the corresponding Polya vector field displays circular flow. Moreover, local topologies of the quantum momentum function and the Polya vector field are thoroughly analyzed near a stagnation point or a pole (including circular, hyperbolic, and attractive or repulsive structures). The local structure of the quantum momentum function and the Polya vector field around a stagnation point are related to the first derivative of the quantum momentum function. However, the magnitude of the asymptotic structures for these two fields near a pole depends only on the order of the node in the wave function. Finally, quantum interference is investigated and it leads to the formation of the topological structure of quantum caves in space-time Argand plots. These caves consist of the vortical and stagnation tubes originating from the isosurfaces of the amplitude of the wave function and its first derivative. Complex quantum trajectories display helical wrapping around the stagnation tubes and hyperbolic deflection near the vortical tubes. Moreover, the wrapping time for a specific trajectory is determined by the divergence and vorticity of the quantum momentum field. The lifetime for interference features is determined by the rotational dynamics of the nodal line in the complex plane. Therefore, these results demonstrate that the complex quantum trajectory method provides a novel perspective for analysis and interpretation of quantum phenomena. / text

Orientador: Denis Jose Schiozer / Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecanica, Instituto de Geociencias / Made available in DSpace on 2018-08-12T14:20:01Z (GMT). No. of bitstreams: 1 Grecco_ConstantinoBornia_M.pdf: 11107825 bytes, checksum: a7e93880683d25011e16d6e8aaab8be3 (MD5) Previous issue date: 2008 / Resumo: A técnica de ajuste de histórico de produção consiste em modificar um modelo de simulação de reservatório para que ele fique consistente com os dados de produção, dentro das restrições observadas na fase de caracterização geológica. Essa técnica é limitada, principalmente em campos antigos, quando o histórico de produção não é muito confiável, ou no início de produção, quando há menos dados observados e as incertezas são maiores. O advento de novas tecnologias para obtenção de dados de saturação no decorrer da vida produtiva dos reservatórios, como é o caso da sísmica 4D e das ferramentas de perfilagem TDT/TDM, ajudou a superar algumas dificuldades da fase de construção do modelo geológico, mas o grande desafio tem sido em utilizar esses dados de maneira a beneficiar a produção de petróleo. Metodologias de ajuste de histórico utilizando dados de saturação da sísmica 4D já são encontrados na literatura, mas nenhum trabalho foi encontrado utilizando os dados de perfis. A vantagem dos dados de perfilagem é a maior precisão, mas, por outro lado, as informações são limitadas a alguns pés ao redor dos poços. O objetivo deste trabalho é integrar o processo tradicional de ajuste de histórico com dados de saturação de perfis, desenvolvendo modelos de simulação mais precisos, produzindo previsões de produção mais confiáveis e facilitando futuras tomadas de decisão. Os dados de saturação são utilizados como um novo parâmetro a ser ajustado e como uma ferramenta auxiliar para a definição das regiões críticas do reservatório, que serão alteradas. Uma metodologia de ajuste de histórico assistido utilizando dados de saturação, linhas de fluxo e um algoritmo de otimização é proposta e aplicada a um modelo sintético de reservatório. Parâmetros do processo são estudados e detalhados, achando a melhor maneira de usar os dados. O modelo também é ajustado sem o uso de informações de saturação e previsões dos modelos ajustados são comparadas, mostrando os benefícios e restrições da nova metodologia. / Abstract: In the production history matching process, the reservoir simulation model is modified in a way that it becomes consistent with production data, keeping the observed restrictions of the geological characterization phase. This technique is limited, mainly in mature fields, when the production history is not reliable, or in the beginning of production, when there are only a few observed data and uncertainties are higher. The development of new saturation data acquisition tools, such as 4D seismic and TDT/TDM logging tools helped to overcome some difficulties in the geologic model construction phase but the great challenge is how to use this data in a way to improve the petroleum production. History matching methodologies integrated with saturation data from 4D seismic are available in literature but no publications that utilize saturation data obtained from well logging were found. The advantage of the logging tools is the data accuracy but, on the other hand, it is limited to a few feet around the wells. The main objective of this project is to integrate the traditional history matching process with logging saturation data, developing more reliable simulation models and production forecasts and assisting future decision making processes. The saturation data is utilized as a new parameter to be matched as well as an auxiliary tool to help to determine critical regions which will be modified. An assisted history matching methodology utilizing saturation data, streamlines and an optimization algorithm is proposed and applied to a synthetic reservoir model. Parameters of the process are studied and detailed, finding the best way to use the data. The model is also history matched with no saturation information and predictions of the matched models are compared, showing the benefits and restrictions of the new methodology. / Mestrado / Reservatórios e Gestão / Mestre em Ciências e Engenharia de Petróleo

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Made available in DSpace on 2014-12-17T14:08:32Z (GMT). No. of bitstreams: 1 JoseTMAP.pdf: 3429155 bytes, checksum: 9d06d453f156a78546476b9e1a22c995 (MD5) Previous issue date: 2008-12-15 / Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior / Until the early 90s, the simulation of fluid flow in oil reservoir basically used the numerical technique of finite differences. Since then, there was a big development in simulation technology based on streamlines, so that nowadays it is being used in several cases and it can represent the physical mechanisms that influence the fluid flow, such as compressibility, capillarity and gravitational segregation. Streamline-based flow simulation is a tool that can help enough in waterflood project management, because it provides important information not available through traditional simulation of finite differences and shows, in a direct way, the influence between injector well and producer well. This work presents the application of a methodology published in literature for optimizing water injection projects in modeling of a Brazilian Potiguar Basin reservoir that has a large number of wells. This methodology considers changes of injection well rates over time, based on information available through streamline simulation. This methodology reduces injection rates in wells of lower efficiency and increases injection rates in more efficient wells. In the proposed model, the methodology was effective. The optimized alternatives presented higher oil recovery associated with a lower water injection volume. This shows better efficiency and, consequently, reduction in costs. Considering the wide use of the water injection in oil fields, the positive outcome of the modeling is important, because it shows a case study of increasing of oil recovery achieved simply through better distribution of water injection rates / At? o in?cio da d?cada de 90, a simula??o de fluxo em reservat?rio de petr?leo basicamente utilizava a t?cnica num?rica de diferen?as finitas. Desde ent?o, houve um grande desenvolvimento da tecnologia de simula??o com base em linhas de fluxo, de modo que hoje ela tem sido usada em v?rios casos e se encontra adequada para representar os diversos mecanismos f?sicos que influenciam o fluxo de fluidos no reservat?rio, tais como compressibilidade, capilaridade e segrega??o gravitacional. A simula??o baseada em linhas de fluxo ? uma ferramenta que pode ajudar bastante no gerenciamento de projetos de inje??o de ?gua, pois fornece informa??es importantes n?o disponibilizadas atrav?s da simula??o tradicional de diferen?as finitas e mostra, de forma direta, a influ?ncia entre po?o injetor e po?o produtor. Este trabalho apresenta a aplica??o de uma metodologia existente na literatura para otimizar projeto de inje??o de ?gua em um reservat?rio pertencente a um campo de petr?leo da Bacia Potiguar que possui elevado n?mero de po?os. Esta metodologia considera modifica??es das cotas de inje??o dos po?os ao longo do tempo, com base nas informa??es dispon?veis atrav?s da simula??o por linhas de fluxo. Esta metodologia reduz as vaz?es de inje??o dos po?os de menor efici?ncia e aumenta as vaz?es de inje??o dos po?os mais eficientes. No modelo proposto, a metodologia se mostrou eficaz. As alternativas de otimiza??o apresentaram uma maior recupera??o de ?leo associada a um menor volume de inje??o de ?gua. Isto demonstra uma melhor efici?ncia e, consequentemente, uma redu??o de custos. Considerando a ampla utiliza??o da inje??o de ?gua em campos de petr?leo, o resultado positivo da modelagem ? importante, porque apresenta um estudo de caso de aumento da recupera??o de petr?leo, alcan?ado simplesmente atrav?s de uma melhor distribui??o das vaz?es de inje??o de ?gua

Made available in DSpace on 2014-12-17T14:08:47Z (GMT). No. of bitstreams: 1 MartinhoQAF_DISSERT.pdf: 3517855 bytes, checksum: e2d79876500fdde55b949a6a832b6ff0 (MD5) Previous issue date: 2011-05-27 / Water injection is the most widely used method for supplementary recovery in many oil fields due to various reasons, like the fact that water is an effective displacing agent of low viscosity oils, the water injection projects are relatively simple to establish and the water availability at a relatively low cost. For design of water injection projects is necessary to do reservoir studies in order to define the various parameters needed to increase the effectiveness of the method. For this kind of study can be used several mathematical models classified into two general categories: analytical or numerical. The present work aims to do a comparative analysis between the results presented by flow lines simulator and conventional finite differences simulator; both types of simulators are based on numerical methods designed to model light oil reservoirs subjected to water injection. Therefore, it was defined two reservoir models: the first one was a heterogeneous model whose petrophysical properties vary along the reservoir and the other one was created using average petrophysical properties obtained from the first model. Comparisons were done considering that the results of these two models were always in the same operational conditions. Then some rock and fluid parameters have been changed in both models and again the results were compared. From the factorial design, that was done to study the sensitivity analysis of reservoir parameters, a few cases were chosen to study the role of water injection rate and the vertical position of wells perforations in production forecast. It was observed that the results from the two simulators are quite similar in most of the cases; differences were found only in those cases where there was an increase in gas solubility ratio of the model. Thus, it was concluded that in flow simulation of reservoirs analogous of those now studied, mainly when the gas solubility ratio is low, the conventional finite differences simulator may be replaced by flow lines simulator the production forecast is compatible but the computational processing time is lower. / A inje??o de ?gua ? o m?todo de recupera??o suplementar mais difundido na maioria dos campos de petr?leo, devido a v?rios motivos, como o fato de a ?gua ser um eficiente agente deslocante de ?leos com baixa viscosidade associado ao fato de ser relativamente f?cil de injetar e de existir grande disponibilidade de ?gua a um custo relativamente baixo de se obter. Para o dimensionamento de um projeto de inje??o de ?gua ? necess?rio efetuar um estudo de reservat?rio com o objetivo de se definir os v?rios par?metros necess?rios para aumentar a efic?cia do m?todo. Para este estudo podem ser utilizados v?rios modelos matem?ticos classificados como anal?ticos ou num?ricos. Este trabalho tem como objetivo efetuar uma an?lise comparativa entre os resultados apresentados por um simulador de linhas de fluxo e um simulador convencional por diferen?a finita, que s?o dois tipos de simuladores de fluxo baseados em m?todos num?ricos, para um modelo de um reservat?rio de petr?leo leve submetido ? inje??o de ?gua. Para tanto foram montados dois modelos de reservat?rio, sendo um modelo heterog?neo e outro homog?neo contendo valores m?dios das propriedades de rocha do primeiro modelo. Foram realizadas compara??es dos resultados destes modelos considerando sempre as mesmas condi??es de opera??o. Em seguida foram alterados alguns par?metros de fluido e de rocha em ambos os modelos e efetuadas novamente compara??es de resultados. A partir do planejamento fatorial, realizado para a an?lise de sensibilidade dos par?metros de reservat?rio, foram escolhidos alguns casos para efetuar an?lise da varia??o dos par?metros operacionais escolhidos que foram a vaz?o de inje??o de ?gua e a localiza??o dos canhoneados. Observou-se que os resultados entre os simuladores s?o bastante similares na maioria dos casos estudados, tendo sido encontrado diverg?ncias apenas nos casos em que h? aumento na raz?o de solubilidade de g?s do modelo. Desta maneira foi conclu?do que o simulador convencional por diferen?as finitas pode ser substitu?do por um simulador por linhas de fluxo em reservat?rios semelhantes ao estudado, quando a raz?o de solubilidade possui valores baixos, sem preju?zo aos resultados de produ??o e com menores tempos de processamento computacional. / 2020-01-01

Dans cette thèse, nous développons le modèle phénoménologique optimisé de lessivage chimique in situ (ISL) de l'uranium par l'injection d'acide sulfurique, en prenant en compte la précipitation des espèces non-solubles telles que le gypse, qui réduisent la récupération de l'uranium. Le modèle proposé décrit le transport de masse avec des réactions chimiques hétérogènes entre le liquide et les roches solides, qui mènent à la dissolution des oxydes d'uranium et à la récupération de l'uranium sous forme liquide. Ce modèle comprend à la fois des réactions utiles, qui décrivent la dissolution de divers types d'oxydes d'uranium, et les réactions néfastes qui conduisent à la précipitation des sédiments solides (gypse), dont les flocons couvrent la surface de canaux poreux et réduisent l'efficacité des réactions utiles. Parmi les résultats qualitatifs, nous avons révélé l'existence d'un taux critique de sédimentation de gypse, en dessous duquel la récupération ultime de l'uranium est complète. En revanche, elle tend à une valeur limite inférieure à 100% lorsque le taux de sédimentation est supérieur à la valeur critique. Ce taux de récupération limite dépend de divers paramètres du processus. La théorie et la méthodologie développées dans ce travail peuvent être facilement étendues et appliquées aux autres types de minerais qui sont récupérés par la méthode de lessivage in situ, et autres types de solvant / In the present thesis we develop the optimized phenomenological model of in-situ chemical leaching (ISL) of uranium by the injection of sulfuric acid, with special account for the precipitation of non-soluble species as gypsum, which reduces the uranium recovery. The suggested model describes the mass transport with heterogeneous chemical reactions between liquid and solid rocks, leading to dissolve uranium oxides and recover uranium in liquid form. It includes both useful reactions, describing the dissolution of various kinds of uranium oxides, and detrimental reactions, leading to the precipitation of solid sediments (gypsum), whose flakes cover the surface of porous channels and reduce the efficiency of useful reactions. Among the qualitative results we revealed the existence of a critical rate of gypsum sedimentation, below which the ultimate uranium recovery is complete. In contrast, it tends to a limit value lower than 100% when the sedimentation rate is higher than the critical value. This limit recovery depends on various parameters of the process. The theory and the methodology developed in this work can be easily extended and applied on other type of ores that are recovered by in-situ leaching method and other types of solvents

Cette thèse est une contribution à la fois expérimentale, théorique et numérique à l'étude des écoulements bidimensionnels de fluides complexes dans une conduite cylindrique présentant des singularités et dans une géométrie annulaire à cylindres excentrés. Le fluide utilisé est une solution de xanthane à différentes concentrations présentant un caractère non newtonien rhéofluidifiant. L'objectif principal de cette thèse est la caractérisation de l'influence des propriétés rhéofluidifiantes sur le comportement des zones de recirculation, en terme de morphologie, de positionnement et d'intensité, par l'utilisation et le développement de techniques de mesures non intrusives et performantes. La première méthode expérimentale utilisée une technique laser classique: la vélocimétrie par images de particules. La seconde technique mise en oeuvre est une méthode originale: la vélocimétrie par imagerie par résonance magnétique. Elle est utilisée pour la première fois au laboratoire pour la mesure de champ de vitesse d'écoulement de fluides complexes en conduite cylindrique, représentant l'intérêt majeur de cette thèse. La première partie de notre travail consiste en une description rhéologique complète de nos fluides modèles avec la détermination de leur loi de comportement et la mise en évidence de leurs propriétés viscoélastiques, par ailleurs négligeables. Par la suite les mesures de champ de vitesse des écoulements bidimensionnels étudiés et la représentation des lignes de courant montrent que les propriétés rhéofluidifiantes influencent très fortement la structure et la morphologie de ces écoulements et le comportement des zones de recirculation. Par une étude fine nous observons qu'il existe une compétition entre les effets d'inertie et les effets rhéofluidifiants induisant un champ de contrainte variable qui modifie le positionnement et la taille de la zone de recirculation. Nous montrons également que l'augmentation du caractère rhéofluidifiant affaiblit son intensité de la zone de recirculation. Enfin, des simulations numériques utilisant la loi de comportement macroscopique déterminée par rhéométrie classique ont été réalisées avec le logiciel Fluent. Une bonne concordance est observée entre les résultats de ces simulations numériques et les expérimentaux. Cette comparaison permet ainsi de valider le code de calcul et la loi de comportement, utilisée pour les simulations numériques au travers de sa modélisation suivant la loi de Cross, pour les écoulements considérés / This thesis is an experimental and numerical study of structured fluids bidimensional flows in a cylindrical pipe with singularity and in an annular geometry with eccentric cylinders. The objective of this thesis is to characterize the influence of the shear thinning properties on the recirculation zones by using efficient and non-intrusive techniques: particle image velocimetry and velocimetry by nuclear magnetic resonance imaging. Materials are xanthane solutions at different concentrations. In the first part, we determine the rheological and viscoelastic properties of the fluids used. The second part concerns the measured velocity field. It is shown that the shear thinning behavior have a strongly influence on the structure and the morphology of these flows and the pattern of the recirculation zones. Simultaneously, numerical simulations performed by Fluent and using the rheological behavior. A good concordance is observed between the experimental and numerical results. For the flows considered here, this comparison allows to validate the computational code and the behavior law used in the numerical simulations and modelling by a Cross model