Aplicações da teoria da percolação à modelagem e simulação de reservatórios de petróleo

In this thesis we study some problems related to petroleum reservoirs using methods and concepts of Statistical Physics. The thesis could be divided percolation problem in random multifractal support motivated by its potential application in modelling oil reservoirs. We develped an heterogeneous and anisotropic grid that followin two parts. The first one introduce a study of the percolations a random multifractal distribution of its sites. After, we determine the percolation threshold for this grid, the fractal dimension of the percolating cluster and the critical exponents ß and v. In the second part, we propose an alternative systematic of modelling and simulating oil reservoirs. We introduce a statistical model based in a stochastic formulation do Darcy Law. In this model, the distribution of permeabilities is localy equivalent to the basic model of bond percolation

Dinâmica de tempos curtos aplicado ao modelo de ising diluído por sítio em duas dimensões

Existem vários métodos de simulação para calcular as propriedades críticas de sistemas; neste trabalho utilizamos a dinâmica de tempos curtos, com o intuito de testar a eficiência desta técnica aplicando-a ao modelo de Ising com diluição de sítios. A Dinâmica de tempos curtos em combinação com o método de Monte Carlos verificou que mesmo longe do equilíbrio termodinâmico o sistema já se mostra insensível aos detalhes microscópicos das interações locais e portanto, o seu comportamento universal pode ser estudado ainda no regime de não-equilíbrio, evitando-se o problema do alentecimento crítico ( critical slowing down ) a que sistema em equilíbrio fica submetido quando está na temperatura crítica. O trabalho de Huse e Janssen mostrou um comportamento universal e uma lei de escala nos sistemas críticos fora do equilíbrio e identificou a existência de um novo expoente crítico dinâmico θ, associado ao comportamento anômalo da magnetização. Fazemos uima breve revisão das transições de fase e fenômeno críticos. Descrevemos o modelo de Ising, a técnica de Monte Carlo e por final, a dinâmica de tempos curtos. Aplicamos a dinâmica de tempos curtos para o modelo de Insing ferromagnéticos em uma rede quadrada com diluição de sítios. Calculamos o expoente dinâmicos θ e z, onde verificamos que existe quebra de classe de universilidade com relação às diferentes concentrações de sítios (p=0.70,0.75,0.80,0.85,0.90,0.95,1.00). calculamos também os expoentes estáticos β e v, onde encontramos pequenas variações com a desordem. Finalmente, apresentamos nossas conclusões e possíveis extensões deste trabalho

Estudo de sistemas complexos com interações de longo alcance : percolação, redes e tráfego

In this thesis we investigate physical problems which present a high degree of complexity using tools and models of Statistical Mechanics. We give a special attention to systems with long-range interactions, such as one-dimensional long-range bondpercolation, complex networks without metric and vehicular traffic. The flux in linear chain (percolation) with bond between first neighbor only happens if pc = 1, but when we consider long-range interactions , the situation is completely different, i.e., the transitions between the percolating phase and non-percolating phase happens for pc < 1. This kind of transition happens even when the system is diluted ( dilution of sites ). Some of these effects are investigated in this work, for example, the extensivity of the system, the relation between critical properties and the dilution, etc. In particular we show that the dilution does not change the universality of the system. In another work, we analyze the implications of using a power law quality distribution for vertices in the growth dynamics of a network studied by Bianconi and Barabási. It incorporates in the preferential attachment the different ability (fitness) of the nodes to compete for links. Finally, we study the vehicular traffic on road networks when it is submitted to an increasing flux of cars. In this way, we develop two models which enable the analysis of the total flux on each road as well as the flux leaving the system and the behavior of the total number of congested roads

Estudo de propriedades críticas em sistemas complexos: método de procura automática em sistemas tipo Ising e percolação de longo alcance

The new technique for automatic search of the order parameters and critical properties is applied to several well-know physical systems, testing the efficiency of such a procedure, in order to apply it for complex systems in general. The automatic-search method is combined with Monte Carlo simulations, which makes use of a given dynamical rule for the time evolution of the system. In the problems inves¬tigated, the Metropolis and Glauber dynamics produced essentially equivalent results. We present a brief introduction to critical phenomena and phase transitions. We describe the automatic-search method and discuss some previous works, where the method has been applied successfully. We apply the method for the ferromagnetic fsing model, computing the critical fron¬tiers and the magnetization exponent (3 for several geometric lattices. We also apply the method for the site-diluted ferromagnetic Ising model on a square lattice, computing its critical frontier, as well as the magnetization exponent f3 and the susceptibility exponent 7. We verify that the universality class of the system remains unchanged when the site dilution is introduced. We study the problem of long-range bond percolation in a diluted linear chain and discuss the non-extensivity questions inherent to long-range-interaction systems. Finally we present our conclusions and possible extensions of this work

Competição entre caminhantes aleatórios

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Propagação de danos: importância da atualização dinâmica, efeitos da diluição e propriedades termodinâmicas

Neste trabalho investigamos aspectos da propagação de danos em sistemas cooperativos, descritos por modelos de variáveis discretas (spins), mutuamente interagentes, distribuídas nos sítios de uma rede regular. Os seguintes casos foram examinados: (i) A influência do tipo de atualização (paralela ou sequencial) das configurações microscópicas, durante o processo de simulação computacional de Monte Carlo, no modelo de Ising em uma rede triangular. Observamos que a atualização sequencial produz uma transição de fase dinâmica (Caótica- Congelada) a uma temperatura TD ≈TC (Temperatura de Curie), para acoplamentos ferromagnéticos (TC=3.6409J/Kb) e antiferromagnéticos (TC=0). A atualização paralela, que neste caso é incapaz de diferenciar os dois tipos de acoplamentos, leva a uma transição em TD ≠TC; (ii) Um estudo do modelo de Ising na rede quadrada, com diluição temperada de sítios, mostrou que a técnica de propagação de danos é um eficiente método para o cálculo da fronteira crítica e da dimensão fractal do aglomerado percolante, já que os resultados obtidos (apesar de um esforço computacional relativamente modesto), são comparáveis àqueles resultantes da aplicação de outros métodos analíticos e/ou computacionais de alto empenho; (iii) Finalmente, apresentamos resultados analíticos que mostram como certas combinações especiais de danos podem ser utilizadas para o cálculo de grandezas termodinâmicas (parâmetros de ordem, funções de correlação e susceptibilidades) do modelo Nα x Nβ, o qual contém como casos particulares alguns dos modelos mais estudados em Mecânica Estatística (Ising, Potts, Ashkin Teller e Cúbico)

Análises estatísticas em redes complexas: propriedades topológicas, críticas e dinâmicas

In this thesis, we address two issues of broad conceptual and practical relevance in the study of complex networks. The first is associated with the topological characterization of networks while the second relates to dynamical processes that occur on top of them. Regarding the first line of study, we initially designed a model for networks growth where preferential attachment includes: (i) connectivity and (ii) homophily (links between sites with similar characteristics are more likely). From this, we observe that the competition between these two aspects leads to a heterogeneous pattern of connections with the topological properties of the network showing quite interesting results. In particular, we emphasize that there is a region where the characteristics of sites play an important role not only for the rate at which they get links, but also for the number of connections which occur between sites with similar and dissimilar characteristics. Finally, we investigate the spread of epidemics on the network topology developed, whereas its dissemination follows the rules of the contact process. Using Monte Carlo simulations, we show that the competition between states (infected/healthy) sites, induces a transition between an active phase (presence of sick) and an inactive (no sick). In this context, we estimate the critical point of the transition phase through the cumulant Binder and ratio between moments of the order parameter. Then, using finite size scaling analysis, we determine the critical exponents associated with this transition

Propriedades críticas de sistemas fora do equilíbrio via simulação Monte Carlo

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Fraturas e caminhos ótimos na rede de Barabasi-Albert

Following the study of Andrade et al. (2009) on regular square lattices, here we investigate the problem of optimal path cracks (OPC) in Complex Networks. In this problem we associate to each site a determined energy. The optimum path is defined as the one among all possible paths that crosses the system which has the minimum cost, namely the sum of the energies along the path. Once the optimum path is determined, at each step, one blocks its site with highest energy, and then a new optimal path is calculated. This procedure is repeated until there is a set of blocked sites forming a macroscopic fracture which connects the opposite sides of the system. The method is applied to a lattice of size L and the density of removed sites is computed. As observed in the work by Andrade et al. (2009), the fractured system studied here also presents different behaviors depending on the level of disorder, namely weak, moderated and strong disorder intensities. In the regime of weak and moderated disorder, while the density of removed sites in the system does not depend of the size L in the case of regular lattices, in the regime of high disorder the density becomes substantially dependent on L. We did the same type of study for Complex Networks. In this case, each new site is connected with m previous ones. As in the previous work, we observe that the density of removed sites presents a similar behavior. Moreover, a new result is obtained, i.e., we analyze the dependency of the disorder with the attachment parameter m

Contribuições ao estudo das redes complexas: modelo de qualidade

In this work we analyse the implications of using a power law distribution of vertice's quality in the growth dynamics of a network studied by Bianconi anel Barabási. In particular, we start studying the random networks which characterize or are related to some real situations, for instance the tide movement. In this context of complex networks, we investigate several real networks, as well as we define some important concepts in the network studies. Furthermore, we present the first scale-free network model, which was proposed by Barabási et al., and a modified model studied by Bianconi and Barabási, where now the preferential attachment incorporates the different ability (fitness) of the nodes to compete for links. At the end, our results, discussions and conclusions are presented

Diversificação cariotípica em cinco espécies de moréias do Atlântico Ocidental (Anguilliformes)

The Anguiliformes is constituted by 15 families, 141 sorts and 737 species. In this group eight families possess at least one karyotyped species, where a prevalence of karyotypes with 2n=38 is evidenced chromosomes and high NF, apparently basal for the Anguiliformes. The only family who shows a different karyotypic pattern from the others is the Muraenidae family. In this, of the eight species already described, all of them present 2n=42 chromosomes. Despite the dimension of this Order, few species present karyotypics descriptions. In the present work, a species of Ophichthidae, Myrichthys ocellatus (2n=38, 8m+14sm+10st+6a, NF=70) and three species of Muraenidae, Enchelycore nigricans (2n=42, 6m+8sm+12st+16a, NF=68), Gymnothorax miliaris (2n=42, 14m+18sm+10st, NF=84), Gymnothorax vicinus (2n=42, 8m+6sm+28a, NF=56) and Muraena pavonina (2n=42, 6m+4sm+32a, NF=52), collected in the coast of the Rio Grande do Norte state, Saint Peter and Paul Rocks and in the coast of Bahia state were analyzed. Mitotics chromosomes had been gotten through mitotic stimulation with yeasts. Among the analyzed species, it is observed the presence of characteristic large metacentric chromosomic pairs (≅10µm). As for the structural standard, heterochromatics regions in these species in centromeric position of the majority of the chromosomic pairs and simple ribosomal sites had been evidenced. For the Ophichthidae family, the gotten data corroborate the hypothesis of karyotypic diversification mediated by the occurrence of pericentrics inversions and robertsonians rearrangements, while in the Muraenidae, the identification of larger chromosomic values (2n=42), suggests derived karyotypes, possibly caused by possible chromosomic fissions

Sitios geologicos e geomorfologicos dos municipios de Acari, Carnaúba dos Dantas e Currais Novos, região saridó do Rio Grande do Norte

Geological and Geomorphological Sites of the Towns of Acari, Carnaúba dos Dantas and Currais Novos, Seridó Region of the Rio Grande do Norte, northeastern Brazil, consist s of a study about geological, geomorphological, mineralogical, palaeontological and archaeological features of the study area, aiming the identification of sites that presents scientific, historical, cultural, economic and ecological excellent importance, and that they deserve to receive special protection for its maintenance for the gifts and future generations. It was developed according with methods adopted for the Brazilian Commitee of Geological and Paleontological Sites SIGEP/UNESCO and by Initiati ve of Sofia for the Preservation of the Mineral Diversity of the Planet, objectifying the description of the main sites, the its environmental problematic and proposal of protectionistic measures. Seven sites with features and typical structures had been identified that they deserve to be aim of protection. In the Acari town, three sites had been identified: geological -geomorphologicalarchaeological site Barra of the Carnaúba; geological-geomorphological site of the Gargalheiras; and geological-geomorphological site Bico of Arara. In Carnaúba of the Dantas, the geomorphological complex river of the Bojo that possesss canyons and deep throats, with rocky-arts registers of the three great rocky-arts traditions of northeast: Northeast Seridó Sub-tradition, Wasteland and Itaquatiara. In the Currais Novos town, 3 sites had been also identified: geomorphological site Canyon of the Apertados; geomorphological-archaeological-palaeontological complex of the Totoró; e, geologicalmineralogical site Brejuí. Because to the environmental problematic that it involves each one of the identified sites, it is proposed, as a guarantee of protection to these sites, its economic exploitation with the ecogeotouristic activity, that it aims at to the integration of the community in programs of environmental education and others, besides providing to the generation of job and income for the towns. Finally, a series of measures is suggested that they aim at to the efectivation of the activity and to the protection of the sites that they can be classified as natural heritage, in accordance with the denomination of UNESCO, in its program World Natural Heritage

Aspectos clínicos, radiográficos e histológicos da superfície oclusal de molares decíduos com e sem lesão de cárie: estudo in vitro

Fundação de Amparo a Pesquisa do Estado de São Paulo

Prevalência e susceptibilidade antimicrobiana de Staphylococcusspp. em quadros de saúde e doença periodontal

The aim of this study was determine the prevalence and antimicrobial susceptibility of Staphylococcus spp. from patients with periodontal disease and periodontally healthy, correlate them with factors to host, local environment and traits of the diseases. To this, thirty adults from 19 to 55 years old were selected. They had not periodontal treatment and no antibiotic or antimicrobial was administered during three previous months. From these individuals, sites periodontally healthy, with chronic gingivitis and/or periodontitis were analyzed. Eighteen subgingival dental biofilm samples were collected through sterile paper points being six from each tooth randomly selected, representing conditions mentioned. They were transported to Oral Microbiology laboratory, plated onto Mannitol Salt Agar (MSA) and incubated at 370C in air for 48 h. Staphylococcus spp. were identified by colonial morphology, Gram stain, catalase reaction, susceptibility to bacitracin and coagulase activity. After identification, strains were submitted to the antibiotic susceptibility test with 12 antimicrobials, based on Kirby-Bauer technique. To establish the relation between coagulase-negative Staphylococcus (CSN) presence and their infection levels and host factors, local environment and traits of diseases were used Chi-square, Mann-Whitney and Kruskal-Wallis tests to a confidence level of 95%. 86,7% subjects harbored CSN in 11,7% periodontal sites. These prevalence were 12,1% in healthy sites, 11,7% in chronic gingivitis, 13,5% in slight chronic periodontitis, 6,75% in moderate chronic periodontitis and in sites with advance chronic periodontitis was not isolated CSN, without difference among them (p = 0,672). There was no significant difference to presence and infection levels of CSN as related to host factors, local environm ent and traits of the diseases. Amongst the 74 samples of CSN isolated, the biggest resistance was observed to penicillin (55,4%), erythromycin (32,4%), tetracycline (12,16%) and clindamycin (9,4%). 5,3% of the isolates were resistant to oxacilin and methicillin. No resistance was observed to ciprofloxacin, rifampicin and vancomycin. It was concluded that staphylococci are found in low numbers in healthy or sick periodontal sites in a similar ratio. However, a trend was observed to a reduction in staphylococci occurrence toward more advanced stages of the disease. This low prevalence was not related to any variables analyzed. Susceptibility profile to antibiotics demonstrates a raised resistance to penicillin and a low one to methicillin. To erythromycin, tetracycline and clindamycin was observed a significant resistance

Análise imuno-histoquímica das proteínas VEGF e HIF-1α na doença periodontal

Periodontal disease is a complex inflammatory and infectious condition that immune host, front of the microbial aggressions, can lead to disease progression, resulting in tissue destruction. The tissue damage induces the release of regulatory molecules, which protective roles and / or destructive, including proteins VEGF (vascular endothelial growth factor vascular) and HIF-1 α (hypoxia-induced factor α -1). Thus, this study investigated, quantitatively and comparatively, the immunohistochemical expression of VEGF (vascular endothelial growth factor) and HIF-1 α (hypoxia induced factor 1-α), proteins involved in inflammation, angiogenesis and hypoxia, in human gingival tissues. Therefore, 75 samples of gingival tissues were examined. Thirty samples were chronic periodontitis, 30 with chronic gingivitis and 15 healthy gingival. After sections analysis, positives and negatives inflammatory and endothelial cells in the connective tissue were counted and converted into percentage. Data were statistically analyzed using Kruskal-Wallis test and Spearman correlation. The results showed that both proteins marked. It was observed higher immunoreactivity for HIF-1 α at chronic gingivitis and periodontitis specimens compared to healthy sites, however, no statistically significant differences were observed among them (p>0.05). The VEGF immunostaining showed similarity among the cases of periodontitis, gingivitis and healthy gingiva. Moderate and positive correlation statistically significant differences were verified for the expressions of VEGF and HIF-1α in gingival health (r = 0,529, p = 0.04). Thus, it can be conclude that possibly the route of HIF-1 α, is activated in periodontal disease may have involvement of the protein in pathogenesis and progression of disease, and that activation of VEGF, can be in addition to being triggered transcription by HIF-1 α may be also influenced by other additional factors such as the action of periodontal microorganisms endotoxins