Submitted by (edna.saturno@ufrpe.br) on 2016-06-16T13:11:16Z No. of bitstreams: 1 Eduardo Vetromilla Fuentes.pdf: 2331604 bytes, checksum: af655705e72ee5734b852e5c6da14e46 (MD5) / Made available in DSpace on 2016-06-16T13:11:16Z (GMT). No. of bitstreams: 1 Eduardo Vetromilla Fuentes.pdf: 2331604 bytes, checksum: af655705e72ee5734b852e5c6da14e46 (MD5) Previous issue date: 2011-06-16 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / Given the multiplicity of uses to which reservoirs are generally subjected, it is expected to find different conditions of composition, density and biomass of phytoplankton, due to possible spatial and seasonal variations of limnological conditions and land uses in the basin. Aiming to know the structure of phytoplankton and its variation in function of spatial heterogeneity in Moxotó Reservoir, located in the semiarid region of Northeastern Brazil, samples were analyzed in two periods, rainy (June 2009) and dry (December 2009). Samples were collected at a station in body (dam upstream) and at five in arms representing several human activities (aquaculture, agriculture, urban settlement, landfill and without punctual activity). Limnological variables, richness, density and biomass of phytoplankton were analyzed. Abundance/biomass comparison curves (ABC) were used to analyze phytoplankton structure. Algae diversity between periods and samples was estimated by cluster analysis, using species presence/absence data. Samples were ordinate (NMDS) by abundance and biomass of phytoplankton descriptor species. The relation between phytoplankton and limnological data was accessed by Pearson’s univariate correlation and BIOENV multivariate analysis. The reservoir presented regulated flow, short theoretical retention time (<7 days) and high water transparency (median zEUF: zMAX = 1.0). Phytoplankton biomass was consistent with low-productive systems (median = 0.9 mg L-1), limited mainly by phosphorus in rainy period (median SRP = 8.4 μg L-1), and nitrogen in dry period (median DIN = 36.5 μg L-1). Phytoplankton composition showed marked seasonality, especially for diatoms, with main contributions of planktonic in rainy period and typically periphytic in dry period. Under limitation by SRP and DIN, organisms adapted to mixotrophy (dinoflagellates and euglenoids) reached higher biomass. In contrast, nanoplanktonic organisms (chlorophytes and cryptophytes) were dominant in conditions of high nutrient availability. The studied sites showed three distinct environments: body, arms with submerged macrophytes and arms under influence of tributaries. Among human activities observed, agriculture was considered the most striking in relation to eutrophication. Moreover, proliferation of submerged macrophytes in arms can cause impairment for multiple uses, despite apparent benefits on water quality (increased transparency). Human activities, presence of submerged macrophytes and retention time influenced the availability of resources, being considered the driving forces of phytoplankton structure. / Em vista da multiplicidade de usos à qual os reservatórios geralmente estão sujeitos, espera-se encontrar condições diferenciadas quanto à composição, densidade e biomassa fitoplanctônica, em função de possíveis variações espaciais e sazonais das condições limnológicas e de ocupação do solo na bacia. Com o objetivo de conhecer a estrutura fitoplanctônica e sua variação em função da heterogeneidade espacial no reservatório hidrelétrico de Moxotó, situado na região semiárida do Nordeste do Brasil, foram analisadas amostras em dois períodos sazonais, de chuvas (junho/2009) e de estiagem (dezembro/2009). As coletas foram realizadas em uma estação no corpo central (barragem à montante) e cinco em reentrâncias representativas de diversas atividades antrópicas (piscicultura, agricultura, ocupação urbana, aterro sanitário e sem atividade pontual). Foram analisadas variáveis limnológicas, riqueza, densidade e biomassa fitoplanctônica. Curvas de comparação de abundância e biomassa acumuladas (curvas ABC) foram utilizadas na análise da estrutura do fitoplâncton. A diversidade algal entre períodos e estações foi estimada através de análise de agrupamento, utilizando-se dados de presença/ausência de espécies. As estações foram ordenadas (NMDS) em função da densidade e biomassa de espécies descritoras do fitoplâncton (valores relativos de abundância e/ou biomassa acima de 5%). A relação entre o fitoplâncton e os dados limnológicos foi acessada através de correlação univariada de Pearson e análise multivariada BIOENV. O reservatório apresentou vazão regularizada, tempo teórico de retenção curto (< 7 dias) e transparência da água elevada (mediana zEUF:zMAX = 1,0). A biomassa fitoplanctônica foi compatível com sistemas pouco produtivos (mediana = 0,9 mg L-1), limitadas principalmente por fósforo nas chuvas (mediana SRP = 8,4 μg L-1), e nitrogênio na estiagem (mediana DIN = 36,5 μg L-1). A composição fitoplanctônica apresentou sazonalidade marcante, especialmente para diatomáceas, com maiores participações das planctônicas nas chuvas e das tipicamente perifíticas, na estiagem. Em condições de limitação por SRP e DIN, organismos adaptados a mixotrofia (dinoflagelados e euglenóides) atingiram biomassas mais elevadas. Por outro lado, organismos nanoplanctônicos (clorofíceas e criptofíceas) foram dominantes em condições de disponibilidade de nutrientes. Os locais estudados mostraram a existência de três ambientes distintos, sendo corpo central e reentrâncias com macrófitas submersas e sob influência de tributários. Dentre as atividades antrópicas observadas, a agrícola foi considerada a mais impactante em relação à eutrofização. Por outro lado, a proliferação de macrófitas submersas em reentrâncias pode ocasionar o comprometimento destes locais para fins de usos múltiplos, apesar dos aparentes benefícios para a qualidade da água (aumento da transparência). Atividades antrópicas, presença de macrófitas submersas e tempo de retenção influenciaram a disponibilidade de recursos, sendo consideradas os fatores direcionadores da estrutura do fitoplâncton.

Submitted by Rosangela Silva (rosangela.silva3@unioeste.br) on 2018-06-04T17:12:56Z No. of bitstreams: 2 Lucas Oldoni.pdf: 9472745 bytes, checksum: 1b2c1a8ee59169fa471b43d27a762f6e (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Made available in DSpace on 2018-06-04T17:12:56Z (GMT). No. of bitstreams: 2 Lucas Oldoni.pdf: 9472745 bytes, checksum: 1b2c1a8ee59169fa471b43d27a762f6e (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2018-02-05 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / Studies related to the monitoring of agricultural production play a decisive and strategic role in the economic planning of the country, due to the importance of agribusiness, as well as food safety. Orbital remote sensing is an effective alternative to perform agricultural crop monitoring due to its low cost, large scale and speed of data collection. However, most of the sensors with high spatial resolution are of low temporal resolution, and the ones with higher temporal resolution have low spatial resolution. Therefore, for the monitoring of agricultural crops with a higher spatial solution, cloud covering can be a limiting factor. Such problems can be circumvented by using a fusion of images of several sensors with different spatial and temporal characteristics, thus creating new images, also called synthetic images. Thus, the objective of the work was the mapping of areas sown with soybean and corn using space-temporal fusion, such as Landsat 8 and MODIS images. In the first part of the research, agricultural crops were separated from other targets. The generated classification served as input to one of the classification algorithms, the Flexta Spatiotemporal Data Fusion (FSDAF), in the second part of the research. In addition to this algorithm, both the Spatial and Temporal Adaptive Reflection Fusion Model (STARFM) and the Advanced and Temporal Spatial Adaptive Reflection Fusion Model (ESTARFM) were employed to generate images for the 2016/2017 summer crops. Then, 5 rating scenarios were created. In the 1st and 2nd scenarios, only the images from the Landsat 8 with no occurrence of clouds were considered. For the 3rd, 4th, and 5th were carried out using images generated by STARFM, ESTARFM and FSDAF. In the third scenario, the metric images of images, Landsat 8 and images of fusion algorithms were used, 4th as a summary of statistical metrics, and in the 5th one as phenological metrics of the temporal profile of the Enhanced Vegetation Index (EVI). The scenario using the EVI phenological metrics from images generated by FSDAF and STARFM yielded better results, with global accuracy of 93.11 and 91.33%, respectively. These results are statistically better than those obtained using only existing Landsat 8 images. Thus, the use of phenological metrics obtained from synthetic images are important alternatives for mapping soybean and corn crops. / Estudos referentes ao acompanhamento da produção agrícola têm um peso determinante e estratégico no planejamento econômico do país, devido à importância do agronegócio, e também para segurança alimentar. O sensoriamento remoto orbital é uma alternativa eficaz para realizar o monitoramento das culturas agrícolas, devido ao baixo custo, grande escala de abrangência e rapidez na coleta de dados. Porém, geralmente os sensores com alta resolução espacial possuem baixa resolução temporal, e os com alta resolução temporal possuem baixa resolução espacial. Assim, para se realizar o acompanhamento de culturas agrícolas com uma resolução espacial mais alta, a cobertura por nuvens pode ser um fator limitante. Estes problemas podem ser contornados com a utilização de fusão de imagens de diversos sensores com características temporais e espaciais diferentes, criando, assim, novas imagens, também chamadas de imagens sintéticas. Deste modo, o objetivo do trabalho foi realizar o mapeamento de áreas semeadas com soja e milho utilizando fusão espaço-temporal de imagens Landsat 8 e MODIS. Na primeira parte do trabalho, foram separadas culturas agrícolas de outros alvos. A classificação gerada serviu de entrada em um dos algoritmos de classificação, o Flexible Spatiotemporal Data Fusion (FSDAF), na segunda parte do trabalho. Nessa parte, além deste algoritmo, também foram utilizados os algoritmos Spatial and Temporal Adaptive Reflectance Fusion Model (STARFM) e Enhanced Spatial and Temporal Adaptive Reflectance Fusion Model (ESTARFM) para gerar imagens nas safras de verão 2016/2017. Então, foram criados 5 cenários de classificação. Nos 1º e 2º foram considerados a utilização apenas das imagens espectrais das imagens Landsat 8 livres de nuvens. As 3º, 4º e 5º foram realizadas com as imagens geradas pelo STARFM, ESTARFM e FSDAF. No 3º cenário foram utilizadas as métricas espectrais das imagens Landsat 8 e as imagens espectrais gerados pelos algoritmos de fusão, no 4º foram considerados as métricas estatísticas e no 5º as métricas fenológicas extraídas do perfil temporal do Enhanced Vegetation Index (EVI). Os cenários que utilizaram métricas fenológicas do EVI a partir de imagens geradas pelo FSDAF e STARFM obtiveram melhores resultados, com exatidão global de 93,11 e 91,33%, respectivamente, resultados estes estatisticamente melhores que os obtidos apenas com as imagens Landsat 8 existentes. Assim, a utilização de métricas fenológicas obtidas de imagens sintéticas são importantes alternativas para o mapeamento de soja e milho.

Les paquets d'électrons relativistes circulant dans les anneaux de stockage sont des sources de rayonnement VUV, X et THz incontournables. Cependant, ces systèmes sont également connus pour présenter des instabilités dynamiques. Dans cette thèse, nous nous sommes intéressés à l'instabilité dite de microbunching, qui mène à l'apparition de microstructures à l'échelle millimétrique, et à l'émission de bouffées intense de rayonnement THz cohérent. L'objectif de la thèse était d'avancer dans la compréhension de la dynamique non-linéaire de ces structures, en combinant études expérimentales et numériques. Les expériences ont été effectuées au Synchrotron SOLEIL et à UVSOR, et les études numériques ont été principalement basées sur l'équation de Vlasov-Fokker-Planck. Dans un premier temps, la rapidité des échelles de temps impliquées nous a menés à réaliser des études indirectes. Des informations sur la dynamique à l'échelle picoseconde ont ainsi pu être déduites d'enregistrements au moyen de détecteurs possédant des constantes de temps beaucoup plus lentes (la microseconde), et en particulier en étudiant la réponse à des perturbations laser. Ensuite, au moyen de deux techniques nouvelles, nous avons pu réaliser les premières observations directes des structures et de leur dynamique. A UVSOR, nous avons utilisé un détecteur THz à film mince de YBCO supraconducteur. Ensuite, nous avons développé une méthode originale associant l'effet électro-optique et l'étirement temporel, ce qui nous a permis d'atteindre une résolution picoseconde, au Synchrotron SOLEIL. Ces nouvelles observations nous ont immédiatement permis de réaliser des tests extrêmement sévères des modèles théoriques. / Relativistic electron bunches circulating in storage rings are used to produce intense radiation from far-infrared to X-rays. However, above a density threshold value, the interaction between the electron bunch and its own radiation can lead to a spatio-temporal instability called microbunching instability. This instability is characterized by a strong emission of coherent THz radiation (typically 105 times stronger than the classical synchrotron radiation) which is a signature of the presence of microstructures (at mm scale) in the electron bunch. This instability is known to be a fundamental limitation of the operation of synchrotron light sources at high beam current. In this thesis, we have focused on this instability from a nonlinear dynamics point of view by combining experimental studies carried out at the Synchrotron SOLEIL and UVSOR storage rings with numerical studies mainly based on the Vlasov-Fokker-Planck equation. In a first step, due to the very indirect nature of the experimental observations, we have sought to deduce information on the microstructure wavenumber either by looking at the temporal evolution of the THz signal emitted during the instability or by studying the response of the electron bunch to a laser perturbation. In a second step, we have achieved direct, real time observations of the microstructures dynamics through two new, very different, detection techniques: a thin-film superconductor-based detector at UVSOR, and a spectrally-encoded electro-optic detection technique at SOLEIL. These new available experimental observations have allowed severe comparisons with the theoretical models.

Autonomous systems require a lot of information about the environment in which they operate in order to perform different high-level tasks. The information is made available through various sources, such as remote and on-board sensors, databases, GIS, the Internet, etc. The sensory input especially is incrementally available to the systems and can be represented as streams. High-level tasks often require some sort of reasoning over the input data, however raw streaming input is often not suitable for the higher level representations needed for reasoning. DyKnow is a stream processing framework that provides functionalities to represent knowledge needed for reasoning from streaming inputs. DyKnow has been used within a platform for task planning and execution monitoring for UAVs. The execution monitoring is performed using formula progression with monitor rules specified as temporal logic formulas. In this thesis we present an analysis for providing spatio-temporal functionalities to the formula progressor and we extend the formula progression with spatial reasoning in RCC-8. The result implementation is capable of evaluating spatio-temporal logic formulas using progression over streaming data. In addition, a ROS implementation of the formula progressor is presented as a part of a spatio-temporal stream reasoning architecture in ROS. / Collaborative Unmanned Aircraft Systems (CUAS)

L'émergence de mouvements cohérents à grande échelle a été abondamment observée dans les populations animales (nuées d'oiseaux, bancs de poissons, essaims de bactéries...) et plus récemment au sein de systèmes artificiels. De tels ensembles d'individus auto-propulsés, susceptibles d'aligner leurs vitesses, présentent des propriétés physiques singulières. Cette thèse théorique étudie divers aspects de ces systèmes actifs polaires.Dans un premier temps, nous avons modélisé une population de colloïdes auto-propulsés. En étroite association avec les travaux expérimentaux, nous avons décrit la dynamique du niveau individuel à l'échelle macroscopique. Les résultats théoriques expliquent l'émergence et la structure de motifs cohérents : (i) transition vers le mouvement collectif, (ii) propagation de structures spatiales polarisées, (iii) amortissement des fluctuations de densité dans un liquide polaire, (iv) vortex hétérogène dans des géométries confinées.D'un point de vue plus fondamental, nous avons ensuite étudié les excitations non linéaires qui se propagent dans les systèmes actifs polaires. L'analyse des théories hydrodynamiques de la matière active, à l'aide d'outils issus des systèmes dynamiques, a permis de rationaliser les observations expérimentales et numériques reportées jusqu'ici.Enfin, nous avons proposé une approche complémentaire pour caractériser les populations actives. Associant étude numérique et résultats analytiques, nous avons étudié les propriétés géométriques des trajectoires individuelles, ainsi que leur enchevêtrement au sein de groupes tridimensionnels. Ces observables pourraient permettre de sonder efficacement la dynamique de populations animales. / The emergence of coherent motion at large scale has been widely observed in animal populations (bird flocks, fish schools, bacterial swarms...) and more recently in artificial systems. Such ensembles of self-propelled individuals, capable of aligning their velocities, are commonly referred to as polar active materials. They display unique physical properties, which we investigate in this theoretical thesis.We first describe a population of self-propelled colloids. In strong connection with the experiments, we model the dynamics from the individual level to the macroscopic scale. The theoretical results account for the emergence and the structure of coherent patterns: (i)~transition to collective motion, (ii)~propagation of polar spatial structures, (iii)~damping of density fluctuations in a polar liquid, (iv)~heterogeneous vortex in confined geometries.We then follow a more formal perspective, and study the non-linear excitations which propagate in polar active systems. We analyze the hydrodynamic theories of active matter using a dynamical-system framework. This approach makes it possible to rationalize the experimental and numerical observations reported so far.Finally, we propose a complementary approach to characterize active populations. Combining numerical and analytical results, we study the geometric properties of the individual trajectories and their entanglement within three-dimensional flocks. We suggest that these observables should provide powerful tools to describe animal flocks in the wild.

Ce travail a pour objectif l’étude du tourbillon conique engendré à partir d’une maquette générique représentant un montant de baie de véhicule automobile. Cette structure tourbillonnaire est responsable de fortes fluctuations sur les vitres latérales et génère du bruit dans l’habitacle. Ces véhicules étant soumis à des vents turbulents, la sensibilité de la dynamique de cette structure tourbillonnaire à une turbulence amont a été étudiée, en plaçant une grille à l’entrée de la veine d’essais de la soufflerie.Les propriétés spatiales et temporelles des champs de vitesse et de pression pariétale ont été étudiées en associant simultanément la mesure de la vitesse par Stéréo-PIV haute fréquence à la mesure de pression pariétale fluctuante par capteurs déportés. Nous avons montré qu’un niveau modéré de turbulence amont (intensité : 6%) se traduit par une modification très importante de la dynamique du tourbillon et de la pression pariétale fluctuante associée. Notre conjecture est qu’en l’absence de turbulence externe, la contribution principale au Cp’ est liée à l’empreinte du coeur tourbillonnaire et du décollement secondaire induit. Au contraire, en présence de turbulence amont, la forte augmentation du Cp’ semble associée à une réponse globale de la structure tourbillonnaire.L’étude de la dynamique spatio-temporelle à partir des corrélations pression-vitesse a permis de mettre en évidence le couplage fort existant entre la dynamique de la nappe cisaillée et celle du coeur de la structure tourbillonnaire. Il existe ainsi une modulation de la fréquence de battement de la structure pilotée par la géométrie de la maquette et par les caractéristiques de la turbulence amont (intensité et échelle intégrale). / This work aims to study conical vortices generated from a generic model representing the A-pillar of an automotive vehicle. This vortex structure is responsible of strong fluctuations on the side window and generates noise in the cabin. As these vehicles are subjected to the turbulent wind, the sensitivity of vortex structure dynamics to an upstream turbulence was studied by adding a grid at the test section entrance of the wind tunnel.The spatial and temporal properties of the velocity fields and the wall pressure were studied by simultaneously combining High Speed Stereo-PIV and wall fluctuating pressure measurements with distant sensors. It is shown that a moderate level of upstream turbulence (6% of intensity) results in a very significant change of the vortex dynamics and the associated wall fluctuating pressure. Our assumption is that in the absence of external turbulence, the main Cp’ contributionis linked to the footprint of the vortex core and of the induced secondary separation. On the contrary, in the presence of upstream turbulence, the strong increase of Cp’ seems to be associated with a global response of the vortex structure. The study of the spatio-temporal dynamics withpressure-velocity correlations allowed highlighting the strong coupling between the dynamics ofthe shear layer and of the core of the vortex structure. Thus, there is a modulation of the flapping frequency of the vortex controlled by the geometry of the model and by the characteristics ofthe upstream turbulence (intensity and integral length scale).

De nombreuses applications de la vision par ordinateur requièrent la détection, la localisation et le suivi de régions ou d’objets d’intérêt dans une image ou une séquence d’images. De nombreux modèles d’attention visuelle, inspirés de la vision humaine, qui détectent de manière automatique les régions d’intérêt dans une image ou une vidéo, ont récemment été développés et utilisés avec succès dans différentes applications. Néanmoins, la plupart des approches existantes sont limitées à l’analyse de scènes statiques et très peu de méthodes exploitent la nature temporelle des séquences d’images.L'objectif principal de ce travail de thèse est donc l'étude de modèles d'attention visuelle pour l'analyse de scènes dynamiques complexes. Une carte de saliance est habituellement obtenue par la fusion d'une carte statitque (saliance spatiale dans une image) d'une part, et d'une carte dynamique (salience temporelle entre une série d'image) d'autre part. Dans notre travail, nous modélisons les changements dynamiques par un opérateur de texture LBP-TOP (Local Binary Patterns) et nous utilisons l'information couleur pour l'aspect spatial.Les deux cartes de saliances sont calculées en utilisant une formulation discriminante inspirée du système visuel humain, et fuionnées de manière appropriée en une carte de saliance spatio-temporelle.De nombreuses expériences avec des bases de données publiques, montrent que notre approche obteint des résulats meilleurs ou comparables avec les approches de la littérature. / Visual saliency is an important research topic in the field of computer vision due to its numerouspossible applications. It helps to focus on regions of interest instead of processingthe whole image or video data. Detecting visual saliency in still images has been widelyaddressed in literature with several formulations. However, visual saliency detection invideos has attracted little attention, and is a more challenging task due to additional temporalinformation. Indeed, a video contains strong spatio-temporal correlation betweenthe regions of consecutive frames, and, furthermore, motion of foreground objects dramaticallychanges the importance of the objects in a scene. The main objective of thethesis is to develop a spatio-temporal saliency method that works well for complex dynamicscenes.A spatio-temporal saliency map is usually obtained by the fusion of a static saliency mapand a dynamic saliency map. In our work, we model the dynamic textures in a dynamicscene with Local Binary Patterns (LBP-TOP) to compute the dynamic saliency map, andwe use color features to compute the static saliency map. Both saliency maps are computedusing a bio-inspired mechanism of Human Visual System (HVS) with a discriminantformulation known as center surround saliency, and are fused in a proper way.The proposed models have been extensively evaluated with diverse publicly availabledatasets which contain several videos of dynamic scenes. The evaluation is performed intwo parts. First, the method in locating interesting foreground objects in complex scene.Secondly, we evaluate our model on the task of predicting human observers fixations.The proposed method is also compared against state-of-the art methods, and the resultsshow that the proposed approach achieves competitive results.In this thesis we also evaluate the performance of different fusion techniques, because fusionplays a critical role in the accuracy of the spatio-temporal saliency map. We evaluatethe performances of different fusion techniques on a large and diverse complex datasetand the results show that a fusion method must be selected depending on the characteristics,in terms of color and motion contrasts, of a sequence. Overall, fusion techniqueswhich take the best of each saliency map (static and dynamic) in the final spatio-temporalmap achieve best results.

This thesis focuses on two topics, computational methods for large spatial datasets and functional data ranking. Both are tackling the challenges of big and high-dimensional data. The first topic is motivated by the prohibitive computational burden in fitting Gaussian process models to large and irregularly spaced spatial datasets. Various approximation methods have been introduced to reduce the computational cost, but many rely on unrealistic assumptions about the process and retaining statistical efficiency remains an issue. We propose a new scheme to approximate the maximum likelihood estimator and the kriging predictor when the exact computation is infeasible. The proposed method provides different types of hierarchical low-rank approximations that are both computationally and statistically efficient. We explore the improvement of the approximation theoretically and investigate the performance by simulations. For real applications, we analyze a soil moisture dataset with 2 million measurements with the hierarchical low-rank approximation and apply the proposed fast kriging to fill gaps for satellite images. The second topic is motivated by rank-based outlier detection methods for functional data. Compared to magnitude outliers, it is more challenging to detect shape outliers as they are often masked among samples. We develop a new notion of functional data depth by taking the integration of a univariate depth function. Having a form of the integrated depth, it shares many desirable features. Furthermore, the novel formation leads to a useful decomposition for detecting both shape and magnitude outliers. Our simulation studies show the proposed outlier detection procedure outperforms competitors in various outlier models. We also illustrate our methodology using real datasets of curves, images, and video frames. Finally, we introduce the functional data ranking technique to spatio-temporal statistics for visualizing and assessing covariance properties, such as separability and full symmetry. We formulate test functions as functions of temporal lags for each pair of spatial locations and develop a rank-based testing procedure induced by functional data depth for assessing these properties. The method is illustrated using simulated data from widely used spatio-temporal covariance models, as well as real datasets from weather stations and climate model outputs.

Les acquisitions de mesures de températures et de conductivités thermiques ont enrichi la connaissance du régime thermique du bassin sédimentaire de Paris et ont mis en évidence des hétérogénéités thermiques spatiales ou temporelles. Afin de mieux les comprendre, ces variations doivent être intégrées dans une vision multidisciplinaire confrontant données et modèles. La revue bibliographique sur le sujet a permis d’intégrer les données de natures diverses, de les confronter par SIG et d’investiguer les connaissances. Cette étude a mis en évidence et réinterprété les variations verticales de flux géothermal. Les simulations conduites à partir de scénarios diffusifs paléoclimatiques montrent que le système a gardé en mémoire l’effet des paléoclimats. Par ailleurs, nous identifions pour la première fois une décroissance systématique du flux géothermal au niveau des principales formations aquifères. Des simulations thermo-hydrauliques transitoires des phénomènes paléoclimatiques mettent en évidence le développement de zones froide et chaude suivant les régions d’écoulement. Une explication de l’anomalie de température de plus de 20°C entre les installations géothermiques situées au nord et au sud de Paris au Bathonien est proposée. Les modélisations effectuées montrent clairement la contribution potentielle de zones fracturées, ainsi que celle des failles, à l’hétérogénéité observée dans le champ de température du bassin en permettant des écoulements contraints par le gradient de charge régional et les instabilités densitaires. Ces travaux ont montré le lien entre les formations du bassin qui sont exploitées pour leurs ressources ou utilisées comme milieu de stockage. / The acquisition of measurements of temperature and of thermal conductivity has enriched the understanding of the thermal regime of the Paris sedimentary basin and brought to light spatial and temporal thermal heterogeneities. In order to understand them better, these variations need to be integrated into a multidisciplinary vision of the basin by comparing data against models. The bibliographic review made it possible to integrate data of diverse sorts, to compare them using GIS and to investigate the knowledge base. This study has highlighted and reinterpreted the vertical variations of geothermal flux. Simulations carried out based on diffusive palaeoclimatic scenarios show that the system has retained a memory of the effects of palaeoclimates. Furthermore, for the first time, a systematic decline of the geothermal flux has been identified at the level of the main aquifer formations. Transitory thermo-hydraulic simulations of palaeoclimatic phenomena show the development in the sedimentary basin of cold and hot zones according to the areas of flow. An explanation of the temperature anomaly of over 20°C between the geothermal installations located to the north and south of Paris in the Bathonian is put forward. The models produced clearly show the potential contribution of fractured zones, as well as that of the faults, to the heterogeneity observed in the temperature field of the basin by allowing flow constrained by the regional charge gradient and unstable densities. This work has shown the link between the formations in the basin which are exploited for their resources or used as a storage medium.

This work derives a nonlinear optical spatio-temporal instability. It is a perturbative analysis that begins from Maxwell’s equations and its constituent relations to derive a vectorial nonlinear wave equation. In fact, it is a new theoretical method that has been developed that builds on previous aspects of nonlinear optics in a more general way. The perturbation in the wave equation derived is coupled with its complex conjugate which has been taken for granted so far. Once decoupled it gives rise to a second-order equation and thus a true instability regime because the wavevector can become complex. The solution obtained for the perturbation that co-propagates with the driving laser is a generalization to modulation and filamentation instability, extending beyond the nonlinear Schrodinger and nonlinear transverse diffusion equations[1][2]. As a result of this new mechanism, new phenomena can be explored. For example, the Kerr Nonlinear Instability can lead to exponential growth, and hence amplification. This can occur even at wavelengths that are typically hard to operate at, such as into far infrared wave- lengths. This provides a mechanism for obtaining amplification in the far infrared from a small seed pulse without the need for population inversion. The analysis provides the basic framework that can be extended to many different avenues. This will be the subject of future work, as outlined in the conclusion of this thesis.