The integration of seismic attributes and well data is an important step in the development of reservoir models. These models draw upon large data sets including information from well logs, production history, seismic interpretation, and depositional models. Modern integration techniques use the extensive data sets to develop precise models using complex workflows at increased cost of time and computational power. However, a gap exists in which a geostatistically driven procedure could integrate pattern statistics inferred from seismic images and those integrated from analogous geologic systems in order to develop spatially accurate reservoir models. Direct Sampling Seismic Integration Process, DSSIP, was first proposed by Henke and Srinivasan (2010) as an alternative to traditional seismic integration methods. The process provides a probabilistic mapping tool for fast reservoir analysis based on sparse conditioning data in a target reservoir and fully interpreted data from an analog field. DSSIP combines the structural information present in seismic data and facies patterns present in a training reservoir to create a fully realized output map for the target field. In this work, the basic DSSIP algorithm has been further optimized by performing a detailed parameter sensitivity study. The basic DSSIP algorithm has been demonstrated for a real field data set for a deepwater Gulf of Mexico reservoir. The basic DSSIP algorithm has also been analyzed to understand and model the effects of features such as salt canopy that can blur the seismic image. Finally, a modification to the basic algorithm is also presented that uses only a training model and the seismic data for the target reservoir in order to generate reservoir models for the target reservoir. This procedure eliminates the requirement to have a matching pair of training data sets for both the facies distribution and the corresponding seismic response. / text

<p dir="ltr">Developing non-invasive and non-destructive testing in complex media continues to be a rich field of study (see e.g.[22, 28, 36, 76, 89] ). These types of tests have applications in medical imaging, geophysical exploration, and engineering where one would like to detect an interior region or estimate a model parameter. With the current rapid development of this enabling technology, there is a growing demand for new mathematical theory and computational algorithms for inverse problems in partial differential equations. Here the physical models are given by a boundary value problem stemming from Electrical Impedance Tomography (EIT), Diffuse Optical Tomography (DOT), as well as acoustic scattering problems. Important mathematical questions arise regarding existence, uniqueness, and continuity with respect to measured surface data. Rather than determining the solution of a given boundary value problem, we are concerned with using surface data in order to develop and implement numerical algorithms to recover unknown subregions within a known domain. A unifying theme of this thesis is to develop Qualitative Methods to solve inverse shape problems using measured surface data. These methods require very few a priori assumptions on the regions of interest, boundary conditions, and model parameter estimation. The counterpart to qualitative methods, iterative methods, typically require a priori information that may not be readily available and can be more computationally expensive. Qualitative Methods usually require more data.</p><p dir="ltr">This thesis expands the library of Qualitative Methods for elliptic problems coming from tomography and scattering theory. We consider inverse shape problems where our goal is to recover extended and small volume regions. For extended regions, we consider applying a modified version of the well-known Factorization Method [73]. Whereas for the small volume regions, we develop a Multiple Signal Classification (MUSIC)-type algorithm (see for e.g. [3, 5]). In all of our problems, we derive an imaging functional that will effectively recover the region of interest. The results of this thesis form part of the theoretical forefront of physical applications. Furthermore, it extends the mathematical theory at the intersection of mathematics, physics and engineering. Lastly, it also advances knowledge and understanding of imaging techniques for non-invasive and non-destructive testing.</p>

Submitted by DIÊGO VICTOR DE BABOS null (diegobabos@hotmail.com) on 2016-08-08T23:38:08Z No. of bitstreams: 1 Dissertação Diêgo Babos.pdf: 1989792 bytes, checksum: 30376a94b5f5cac12b35744978cd6cc7 (MD5) / Approved for entry into archive by Ana Paula Grisoto (grisotoana@reitoria.unesp.br) on 2016-08-11T14:14:27Z (GMT) No. of bitstreams: 1 babos_dv_me_araiq_par.pdf: 1035449 bytes, checksum: 4a4c8a9a99f92024681ea27985b94b19 (MD5) / Made available in DSpace on 2016-08-11T14:14:27Z (GMT). No. of bitstreams: 1 babos_dv_me_araiq_par.pdf: 1035449 bytes, checksum: 4a4c8a9a99f92024681ea27985b94b19 (MD5) Previous issue date: 2016-07-18 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) / Avaliou-se a amostragem direta de sólidos como base de métodos analíticos simples, rápidos e mais limpos para determinar Co, Mo, Ni e V em tecido vegetal e solo empregando a espectrometria de absorção atômica de alta resolução com fonte contínua. Esta técnica foi escolhida devido as suas características peculiares, especialmente a elevada capacidade de correção de fundo. Na determinação de cobalto em material vegetal, a sobreposição espectral de SiO(g) na linha 240,725 nm do Co foi corrigida pelo método dos mínimos quadrados. Curvas de calibração (0–540 pg) com bons coeficientes de correlação lineares (R 0,9993) foram obtidas com padrões sólidos. O limite de detecção (LOD) foi 3 pg Co. Na determinação simultânea de Mo e Ni em material vegetal, empregou-se Co como padrão interno para Ni. Curvas de calibração (0,8-50 ng Ni; 0-0,33 ng Mo) lineares (R 0,9937) foram obtidas com padrões aquosos sem modificador químico. Os LODs foram 0,018 ng Mo e 0,025 ng Ni. A padronização interna aumentou a precisão das medidas para Ni de 62-135% para 94-105%. Vanádio e Co foram determinados em solos empregando NH4F como modificador. As calibrações, com padrões aquosos para V (0-40 ng), e por compatibilização de matriz para Co (0-5,0 ng), forneceram R 0,9979. Os LODs foram 0,044 ng Co e 0,43 ng V. Na determinação de Mo e Ni em solo, o modificador Mg(NO3)2 foi utilizado apenas para Ni. As curvas de calibração aquosas (0-500 ng Ni; 0-0,54 ng Mo) forneceram R 0,9953. Na determinação do Ni foi monitorado o tripleto em 341,377 nm, 341,347 nm e 341,394 nm, permitindo determinar Ni em ampla faixa de concentração. Os LODs foram 0,0082 ng Mo (313,259 nm), 0,021 ng Ni (341,477 nm),1,8 ng Ni (341,347 nm). A exatidão dos métodos foi avaliada via análise de materiais de referência certificados de solos e plantas. De uma forma geral, os resultados obtidos foram concordantes com os valores certificados ao nível de confiança de 95%. / High-resolution continuum source atomic absorption spectrometry with direct solid sampling was employed for the development of simple, fast and clean analytical methods for Co, Mo, Ni and V determination in soil and plant materials. The technique has as main advantages the efficiency to correct background absorption. For cobalt determination in plant material, a spectral overlap of SiO molecular absorption in Co line was corrected by using least squares background correction method. Calibration curves (0-540 pg) with correlation coefficients higher of 0.9993 were obtained with solid standards. The limit of detection was of 3 pg Co. For simultaneous determination of Mo and Ni in plant material Co was employed as internal standard for Ni. Calibration curves (0.8-50 ng Ni; 0-0.33 ng Mo) with correlation coefficients higher of 0.9937 were obtained with aqueous standards without chemical modifier. The LODs were 0.025 and 0.018 ng for Mo and Ni, respectively. The internal standardization increased the accuracy of Ni determinations from 62-135% to 94-105%. For V and Co determinations in soils the NH4F was used as chemical modifier. The calibration with aqueous standards for V (0-40 ng), and compatibility matrix for Co (0-5.0 ng), provided linear correlation coefficients better of 0.9979. The LODs were 0.044 and 0.43 ng for Co and V, respectively. For Mo and Ni determination in soil the Mg(NO3)2 was used as chemical modifier for Ni. The aqueous calibration curves (0-500 ng Ni; 0-0.54 ng Mo) provided linear correlation coefficients higher of 0.9953. For Ni determination were used the triplet lines at 341.377 nm, 341.347 nm and 341.394 nm, allowing the determination of Ni in wide concentration range. The calculated LODs were 0.0082 ng Mo (313.259 nm), 0.021 ng Ni (341.477 nm), 1.8 ng Ni (341.347 nm). The accuracy of the proposed methods was assessed by analysis of certified reference materials of soils and plants. In general, the results were in agreement with the certified values at 95% confidence level (t-test).

Le problème de l'imagerie non itérative dans le cadre de la diffraction électromagnétique inverse utilisant la méthode d'échantillonnage direct (DSM) est considéré. Grâce à une combinaison de l'expression asymptotique du champ proche ou du champ lointain diffracté et de l'hypothèse de petits obstacles, les expressions analytiques de la fonction d'indicateur DSM sont présentées dans diverses configurations telles que des configurations 2D/3D, mono-/multi-configurations statiques, à vue limitée/complète et fréquence unique/ diversité en fréquence. Une fois l'expression analytique obtenue, sa structure est analysée et des améliorations proposées. Notre approche est validée à l’aide de données de simulation, et d’expériences le cas échéant. Premièrement, la structure mathématique du DSM à fréquence fixe en 2D dans divers problèmes de diffusion est établie, permettant une analyse théorique de son efficacité et de ses limites. Pour surmonter les limitations connues, une méthode alternative d'échantillonnage direct (DSMA) est proposée. Puis le cas multi-fréquence est investigué en introduisant et en analysant le DSM multi-fréquence (MDSM) et le DSMA multi-fréquence (MDSMA). Enfin, notre approche est étendue aux problèmes de diffraction électromagnétique inverse 3D pour lesquels le choix de la polarisation du dipôle de test est un paramètre clé. De par notre approche analytique, ce choix peut être effectué sur la base de la polarisation du champ incident. / The non-iterative imaging problem within the inverse electromagnetic scattering framework using the direct sampling method (DSM) is considered. Thanks to the combination of the asymptotic expression of the scattered near-field or far-field and of the small obstacle hypothesis the analytical expressions of the DSM indicator function are presented in various configurations such as 2D/3D configurations and/or mono-/multi-static configurations and/or limited-/full-view case and/or mono-/multi-frequency case. Once the analytical expression obtained, its structure is analyzed and improvements proposed. Our approach is validated using synthetic data and experimental ones when available. First, the mathematical structure of DSM at a fixed frequency in 2D various scattering problems is established allowing a theoretical analysis of its efficiency and limitations. To overcome the known limitations an alternative direct sampling method (DSMA) is proposed. Next, the multi-frequency case is investigated by introducing and analyzing the multi-frequency DSM (MDSM) and the multi-frequency DSMA (MDSMA).Finally, our approach is extended to 3D inverse electromagnetic scattering problems for which the choice of the polarization of the test dipole is a key parameter. Thanks to our analytical analysis it can be made based on the polarization of the incident field.

Cette thèse étudie l'intérêt des architectures SDR à échantillonnage direct pour des récepteurs Galileo dans le contexte particulier de l'Aviation Civile, caractérisé notamment par une exigence de robustesse à des interférences bien spécifiées, principalement les interférences causées par les signaux DME ou CW. Le concept de Software Defined Radio traduit la migration toujours plus grande, au sein des récepteurs, des procédés de démodulation d'une technologie analogique à du traitement numérique, donc de façon logicielle. La quasi généralisation de ce choix de conception dans les architectures nouvelles nous a conduit à le considérer comme acquis dans notre travail. La méthode d'échantillonnage direct, ou Direct Sampling, quant à elle consiste à numériser les signaux le plus près possible de l'antenne, typiquement derrière le LNA et les filtres RF associés. Cette technique s'affranchit donc de toute conversion en fréquence intermédiaire, utilisant autant que possible le principe de l'échantillonnage passe-bande afin de minimiser la fréquence d'échantillonnage et en conséquence les coûts calculatoires ultérieurs. De plus cette thèse s'est proposée de pousser jusqu'au bout la simplification analogique en renonçant également à l'utilisation de l'AGC analogique qui équipe les récepteurs de conception traditionnelle. Seuls des amplificateurs à gain fixe précéderont l'ADC. Ce mémoire rend compte des travaux menés pour déterminer si ces choix peuvent s'appliquer aux récepteurs Galileo multifréquences (signaux E5a et E1) destinés à l'Aviation Civile. La structure du document reflète la démarche qui a été la notre durant cette thèse et qui a consisté à partir de l'antenne pour, d'étape en étape, aboutir au signal numérique traité par la partie SDR. Après une introduction détaillant le problème posé et le contexte dans lequel il s'inscrit, le deuxième chapitre étudie les exigences de robustesse aux interférences auquel doit se soumettre un récepteur de navigation par satellites destiné à l'Aviation Civile. Il s'agit de la base qui conditionne toute la démarche à suivre. Le troisième chapitre est consacré au calcul des fréquences d'échantillonnage. Deux architectures d'échantillonnage sont proposées. La première met en oeuvre un échantillonnage cohérent des deux bandes E5a et E1 tandis que la seconde implémente un échantillonnage séparé. Dans les deux cas, la nécessité de filtres RF supplémentaires précédant l'échantillonnage est mise en évidence. L'atténuation minimale que doivent apporter ces filtres est spécifiée. Ces spécifications sont suffisamment dures pour qu'il ait été jugé indispensable d'effectuer une étude de faisabilité. C'est l'objet du chapitre quatre où une approche expérimentale à base d'un composant disponible sur étagère a été menée. La problématique de la gigue de l'horloge d'échantillonnage, incontournable ici eu égard à la haute fréquence des signaux à numériser, est étudiée dans le chapitre cinq. Des résultats de simulation sont présentés et un dimensionnement de la qualité de l'horloge d'échantillonnage est proposé. Dans le chapitre six, la quantification, second volet de la numérisation, est détaillée. Il s'agit très précisément du calcul du nombre minimum de bits de quantification que doit exhiber l'ADC pour représenter toute la dynamique, non seulement du signal utile mais aussi des interférences potentielles. Au vu des débits de données conséquents mis en évidence dans les chapitres trois et six, le chapitre sept évalue la possibilité de réduire la dynamique de codage du signal à l'aide de fonctions de compression. Le dernier chapitre est focalisé sur la séparation numérique des bandes E5a et E1 dans l'architecture à échantillonnage cohérent introduite au chapitre deux. Ici aussi l'atténuation minimale que doivent apporter les filtres requis est spécifiée. / This thesis studies the relevance of DS SDR architectures applied to Galileo receivers in the specific context of Civil Aviation, characterized in particular by strict requirements of robustness to interference, in particular, interference caused by DME or CW signals. The Software Defined Radio concept renders the major tendency, inside the receiver, to move the demodulation part from an analog technology to digital signal processing, that is software. The choice of this kind of design is nearly generalized in new receiver architectures so it was considered the case in this work. The Direct Sampling method consists in digitizing the signal as close as possible to the antenna, typically after the LNA and the associated RF bandpass filter. So this technique does not use any conversion to an intermediate frequency, using as much as possible the bandpass sampling principle in order to minimize the sampling frequency and consequently the downstream computational costs. What is more, this thesis aiming at the greatest simplification of the analog part of the receiver, the decision was made to suppress the analog AGC which equips the receivers of classical architecture. Only fixed gained amplifiers should precede the ADC. This document exposes the work done to determine if these choices can apply to a multifrequency (E5a and E1 signals) Galileo receiver intended for a Civil Aviation use. The structure of the document reflects the approach used during this thesis. It progresses step by step from the antenna down to the digital signal, to be processed then by the SDR part. After an introduction detailing the problem to study and its context, the second chapter investigates the Civil Aviation requirements of robustness to interference a satellite navigation receiver must comply with. It is the basis which completely conditions the design process. The third chapter is devoted to the determination of the sampling frequency. Two sampling architectures are proposed: the first implements coherent sampling of the two E5a and E1 bands while the second uses separate sampling. In both cases the necessity to use extra RF filters is shown. The minimum attenuation to be provided by these filters is also specified. These requirements are strong enough to justify a feasibility investigation. It is the subject of chapter four where an experimental study, based on a SAW filter chip available on the shelf, is related. The issue of the sampling clock jitter, of concern with the Direct Sampling technique because of the high frequency of the signal to digitize, is investigated in chapter five. Some simulation results are presented and a dimensioning of the quality of the sampling clock is proposed. In chapter six, quantization, a byproduct of digitization, is detailed. Precisely it is the calculation of the number of bits the ADC must have to digitally represent the whole dynamic of, not only the useful signal, but also of the potential interference. Considering the high binary throughput highlighted in chapters three and six, chapter seven evaluates the possibility to reduce the coding dynamic of the digital signal at the output of the ADC by means of compression functions. The last chapter is focused on the digital separation of the two E5a and E1 bands in the coherent sampling architecture presented in chapter two. Here also specifications of minimum attenuation are given. Lastly the conclusions synthesize the contributions of this thesis and proposes ideas for future work to enrich them and more generally the subject of DS-SDR Galileo receivers for Civil Aviation.

Conselho Nacional de Pesquisa e Desenvolvimento Científico e Tecnológico - CNPq / Three analytical methods were developed for the determination of chlorine, iodine and mercury in solid and liquid samples, directly by high resolution continuum source atomic and molecular absorption spectrometry in graphite furnace. The first method objected the determination of chlorine in solid and slurry samples of different natures and chlorine contents (CRM 81002b human hair, SRM 1568b rice flour, ERM EC681 polyethylene, CRM BCR 460 coal, SRM 2692c bituminous coal, SRM 1575 sheet Of pine, CRM 686-1 iron oxide, SRM 1549 powdered milk) through the molecular formation of CaCl. The results were compared with those already available for the SrCl molecule and were superior, especially in samples with a high calcium content. The limit of detection and quantification obtained for the two molecular absorption lines of CaCl were 2.6 and 8.7 ng (620.862 nm) and 14.2 and 61.6 ng (377.501 nm), respectively. The iodine determination was performed through the formation of the SrI molecule in two samples of medicines containing iodine. The accuracy of the method was proved by comparative analysis by inductively coupled plasma mass spectrometry. The results obtained were higher compared to the existing BaI molecule that does not provide direct determination in solids. The limit of detection and quantification obtained were 0.035 and 0.117 μg, respectively. Finally, an analytical method for the determination of mercury in blood samples (SERONORM® LEVEL III and II) and urine (SERONORM®, Clincheck Control level I and II batch 432 and level II batch 923) were developed, directly, using gold nanoparticles. The method was compared to the existing method that uses potassium permanganate as oxidizing agent. The limit of detection and quantification obtained were 0.057 and 0.190 ng, respectively. / Foram desenvolvidos três métodos analíticos para a determinação de cloro, iodo e mercúrio em amostras sólidas e líquidas, de forma direta por espectrometria de absorção atômica e molecular de alta resolução com fonte contínua em forno de grafite. O primeiro método objetivou a determinação de cloro em amostras sólidas e em suspensão de diferentes naturezas e teores de cloro (CRM 81002b cabelo humano, SRM 1568b farinha de arroz, ERM EC681 polietileno, CRM BCR 460 carvão, SRM 2692c carvão betuminoso, SRM 1575 folha de pinheiro, CRM 686-1 óxido de ferro, SEM 1549 leite em pó), através da formação molecular de CaCl. Os resultados foram comparados com os já existentes para a molécula de SrCl e mostraram-se superiores, especialmente em amostras com alto teor de cálcio. O limite de detecção e quantificação obtidos para as duas linhas de absorção molecular de CaCl foram de 2,6 e 8,7 ng (620,862 nm) e 14,2 e 61,6 ng (377,501 nm), respectivamente. Já a determinação de iodo realizou-se através da formação da molécula de SrI, em duas amostras de medicamentos contendo iodo. A exatidão do método foi comprovada através de analise comparativa por espectrometria de massas com plasma acoplado indutivamente. Os resultados obtidos se mostraram superiores em comparação com molécula já existente BaI que não proporciona a determinação direta em sólidos. O limite de detecção e quantificação obtidos foram de 0,035 e 0,117 μg, respectivamente. Por fim, foi desenvolvido um método analítico para a determinação de mercúrio em amostras de sangue (SERONORM® LEVEL III e II) e urina (SERONORM®, Clincheck Control nível I e II lote 432 e nível II lote 923) certificadas, de forma direta, utilizando nanopartículas de ouro. O método foi comparado ao método já existente que utiliza permanganato de potássio como agente oxidante. O limite de detecção e quantificação obtidos foram de 0,057 e 0,190 ng, respectivamente.

The functionality provided by mobile devices such as cellular phones and tablets continues to increase over the years, with integration of an ever larger number of wireless standards within a given device. In several of these designs, each standard supported by a device requires its own IC receiver to be mounted on the device’s PCB. In multistandard and multimode radios, it is desirable to integrate all receivers onto the same IC as the digital processors for the standards, in order to reduce device cost and size. Ideally all the receivers should also share a single signal chain. Since each standard has its own requirements for linearity and noise figure, and each standard operates at a different RF carrier frequency, implementing such a receiver is very challenging. Such a receiver could be theoretically implemented using a broadband mixing receiver or by direct sampling by a high-speed analog-to-digital converter (ADC). Broadband mixing requires the use of a harmonic rejection mixer (HRM) or tunable band pass filter to remove harmonic mixing effects, which in the past have suffered from a large primary clock tuning range and high power consumption. However, direct sampling of the RF input requires a high-speed ADC with large dynamic range which is typically limited by clock timing skew, clock jitter, or harmonic folding. In this dissertation, techniques for programmable broadband radio receivers are proposed. A local oscillator (LO) synthesis method within HRMs is proposed which reduces the required primary clock tuning range in broadband receivers. The LO synthesis method is implemented in 130-nm CMOS. A clocking technique is introduced within the two-stage HRM, which helps in achieving state-of-the-art harmonic rejection performance without calibration or harmonic filtering. An analog frequency synthesis based broadband channelizer is proposed using the LO synthesis method which is capable of channelizing a broadband input using a single mixing stage and primary clock frequency. A frequency-folded ADC architecture is proposed which enables high-speed sampling with high dynamic range. A receiver based on the frequency-folded ADC architecture is implemented in 65-nm CMOS and achieves a sample rate of 2-GS/s, a mean 49-dB SNDR, and 8.5-dB NF. / text

In modern digital communication, transmission and reception of information through electromagnetic signals requires digital devices that can process high data rates accurately despite being located in information heavy environments. One type of antenna receiver is the digital antenna array, which can steer its lobes electronically to increase or decrease sensitivity in specific directions. A rather recently developed system is the Wideband Digital Array Receiver, developed at Saab Surveillance in Järfälla and referred to as WiDAR. The implementations and possibilities of WiDAR are broad, but no matter its future applications, calibration is an essential feature to ensure truthful reception of data. Any type of electronic system risks errors due to hardware imperfections. The aim of this thesis is to explore and reduce these errors. Measurements with WiDAR were performed in a manner such that some of the intercepted signals were transmitted from a far away located FM and TV-mast. The data was then used to retrieve weights by calculating their relative transfer function, which were applied to calibrate all channels in the antenna array towards a chosen reference channel. These weights could then be on any accumulated set of data measured by WiDAR with hopes to compensate errors in both phase and magnitude. The results show that reducing errors this way was possible, working slightly better when calibrating phase than calibrating magnitude. If more advanced calibration is deemed necessary, further measurements could be performed to investigate where errors or variations occur by isolating different parts of the system. The calibration method used could be further developed by adding an online calibration procedure, meaning relative transfer functions are calculated in real time when performing measurements.

<p dir="ltr">In this thesis, we consider the inverse problem of reconstructing the shape, position, and size of an unknown scattering object. We will talk about different methods used for nondestructive testing in scattering theory. We will consider qualitative reconstruction methods to understand and determine important information about the support of unknown scattering objects. We will also discuss the material properties of the system and connect them to certain crucial aspects of the region of interest, as well as develop useful techniques to determine physical information using inverse scattering theory. </p><p><br></p><p dir="ltr">In the first part of the analysis, we consider the transmission eigenvalue (TE) problem associated with the scattering of a plane wave for an isotropic scatterer. In particular, we examine the transmission eigenvalue problem with two conductivity boundary parameters. In previous studies, this eigenvalue problem was analyzed with one conductive boundary parameter, whereas we will consider the case of two parameters. We will prove the existence and discreteness of the transmission eigenvalues. In addition, we will study the dependence of the TE's on the physical parameters and connect the first transmission eigenvalue to the physical parameters of the problem by a monotone-type argument. Lastly, we will consider the limiting procedure as the second boundary parameter vanishes at the boundary of the scattering region and provide numerical examples to validate the theory presented in Chapter 2. </p><p><br></p><p dir="ltr">The connection between transmission eigenvalues and the system's physical parameters provides a way to do testing in a nondestructive way. However, to understand the region of interest in terms of its shape, size, and position, one needs to use different techniques. As a result, we consider reconstructing extended scatterers using an analogous method to the Direct Sampling Method (DSM), a new sampling method based on the Landweber iteration. We will need a factorization of the far-field operator to analyze the corresponding imaging function for the new Landweber direct sampling method. Then, we use the factorization and the Funk--Hecke integral identity to prove that the new imaging function will accurately recover the scatterer. The method studied here falls under the category of qualitative reconstruction methods, where an imaging function is used to retrieve the scatterer. We prove the stability of our new imaging function as well as derive a discrepancy principle for recovering the regularization parameter. The theoretical results are verified with numerical examples to show how the reconstruction performs by the new Landweber direct sampling method.</p><p><br></p><p dir="ltr">Motivated by the work done with the transmission eigenvalue problem with two conductivity parameters, we also study the direct and inverse problem for isotropic scatterers with two conductive boundary conditions. In such a problem, one analyzes the behavior of the scattered field as one of the conductivity parameters vanishes at the boundary. Consequently, we prove the convergence of the scattered field dealing with two conductivity parameters to the scattered field dealing with only one conductivity parameter. We consider the uniqueness of recovering the coefficients from the known far-field data at a fixed incident direction for multiple frequencies. Then, we consider the inverse shape problem for recovering the scatterer for the measured far-field data at a fixed frequency. To this end, we study the direct sampling method for recovering the scatterer by studying the factorization for the far-field operator. The direct sampling method is stable concerning noisy data and valid in two dimensions for partial aperture data. The theoretical results are verified with numerical examples to analyze the performance using the direct sampling method. </p>

Il est reconnu que le benzène, le toluène, l’éthylbenzène et les isomères du xylène, composés organiques volatils (COVs) communément désignés BTEX, produisent des effets nocifs sur la santé humaine et sur les végétaux dépendamment de la durée et des niveaux d’exposition. Le benzène en particulier est classé cancérogène et une exposition à des concentrations supérieures à 64 g/m3 de benzène peut être fatale en 5–10 minutes. Par conséquent, la mesure en temps réel des BTEX dans l’air ambiant est essentielle pour détecter rapidement un danger associé à leur émission dans l’air et pour estimer les risques potentiels pour les êtres vivants et pour l’environnement. Dans cette thèse, une méthode d’analyse en temps réel des BTEX dans l’air ambiant a été développée et validée. La méthode est basée sur la technique d’échantillonnage direct de l’air couplée avec la spectrométrie de masse en tandem utilisant une source d’ionisation chimique à pression atmosphérique (APCI-MS/MS directe). La validation analytique a démontré la sensibilité (limite de détection LDM 1–2 μg/m3), la précision (coefficient de variation CV < 10%), l’exactitude (exactitude > 95%) et la sélectivité de la méthode. Des échantillons d’air ambiant provenant d’un site d’enfouissement de déchets industriels et de divers garages d’entretien automobile ont été analysés par la méthode développée. La comparaison des résultats avec ceux obtenus par la technique de chromatographie gazeuse on-line couplée avec un détecteur à ionisation de flamme (GC-FID) a donné des résultats similaires. La capacité de la méthode pour l’évaluation rapide des risques potentiels associés à une exposition aux BTEX a été prouvée à travers une étude de terrain avec analyse de risque pour la santé des travailleurs dans trois garages d’entretien automobile et par des expériences sous atmosphères simulées. Les concentrations mesurées dans l’air ambiant des garages étaient de 8,9–25 µg/m3 pour le benzène, 119–1156 µg/m3 pour le toluène, 9–70 µg/m3 pour l’éthylbenzène et 45–347 µg/m3 pour les xylènes. Une dose quotidienne environnementale totale entre 1,46 10-3 et 2,52 10-3 mg/kg/jour a été déterminée pour le benzène. Le risque de cancer lié à l’exposition environnementale totale au benzène estimé pour les travailleurs étudiés se situait entre 1,1 10-5 et 1,8 10-5. Une nouvelle méthode APCI-MS/MS a été également développée et validée pour l’analyse directe de l’octaméthylcyclotétrasiloxane (D4) et le décaméthylcyclopentasiloxane (D5) dans l’air et les biogaz. Le D4 et le D5 sont des siloxanes cycliques volatils largement utilisés comme solvants dans les processus industriels et les produits de consommation à la place des COVs précurseurs d’ozone troposphérique tels que les BTEX. Leur présence ubiquitaire dans les échantillons d’air ambiant, due à l’utilisation massive, suscite un besoin d’études de toxicité. De telles études requièrent des analyses qualitatives et quantitatives de traces de ces composés. Par ailleurs, la présence de traces de ces substances dans un biogaz entrave son utilisation comme source d’énergie renouvelable en causant des dommages coûteux à l’équipement. L’analyse des siloxanes dans un biogaz s’avère donc essentielle pour déterminer si le biogaz nécessite une purification avant son utilisation pour la production d’énergie. La méthode développée dans cette étude possède une bonne sensibilité (LDM 4–6 μg/m3), une bonne précision (CV < 10%), une bonne exactitude (> 93%) et une grande sélectivité. Il a été également démontré qu’en utilisant cette méthode avec l’hexaméthyl-d18-disiloxane comme étalon interne, la détection et la quantification du D4 et du D5 dans des échantillons réels de biogaz peuvent être accomplies avec une meilleure sensibilité (LDM ~ 2 μg/m3), une grande précision (CV < 5%) et une grande exactitude (> 97%). Une variété d’échantillons de biogaz prélevés au site d’enfouissement sanitaire du Complexe Environnemental de Saint-Michel à Montréal a été analysée avec succès par cette nouvelle méthode. Les concentrations mesurées étaient de 131–1275 µg/m3 pour le D4 et 250–6226 µg/m3 pour le D5. Ces résultats représentent les premières données rapportées dans la littérature sur la concentration des siloxanes D4 et D5 dans les biogaz d’enfouissement en fonction de l’âge des déchets. / It is known that benzene, toluene, ethylbenzene and xylene isomers, volatile organic compounds (VOCs) commonly called BTEX, have toxic health effects on humans and plants depending on duration and levels of exposure. Benzene in particular is classified carcinogenic, and exposure to benzene at concentrations above 64 g/m3 can be fatal within 5–10 minutes. Therefore, real-time monitoring of BTEX in ambient air is essential for the early warning detection associated with their release and in estimating the potential exposure risks to living beings and the environment. In this thesis, a real-time analysis method for BTEX in ambient air was developed and validated. The method is based on the direct-air sampling technique coupled with tandem mass spectrometry using atmospheric pressure chemical ionization (direct APCI-MS/MS). Validation of the method has shown that it is sensitive (limit of detection LOD 1–2 μg/m3), precise (relative standard deviation RSD < 10%), accurate (accuracy > 95%) and selective. Ambient air samples from an industrial waste landfill site and various automobile repair shops were analyzed by the developed method. Comparison of results with those obtained by online gas chromatography coupled with a flame ionization detector (GC-FID) technique exhibited similar results. The capacity of the method for the fast evaluation of potential risks associated with an exposure to BTEX has been demonstrated through a field study with health risk assessment for workers at three automobile repair shops and through experiments under simulated atmospheres. Concentrations measured in the ambient air of the garages were in the ranges of 8.9–25 µg/m3 for benzene, 119–1156 µg/m3 for toluene, 9–70 µg/m3 for ethylbenzene, and 45–347 µg/m3 for xylenes. A total environmental daily dose of 1.46 10-3–2.52 10-3 mg/kg/day was determined for benzene. The estimated cancer risk due to the total environmental exposure to benzene was between 1.1 10-5 and 1.8 10-5 for the workers studied. A novel APCI-MS/MS method was also developed and validated for the direct analysis of octamethylcyclotetrasiloxane (D4) and decamethylcyclopentasiloxane (D5) in air and biogases. D4 and D5 are cyclic volatile siloxanes widely used in industrial processes and consumer products as replacement solvents for the tropospheric ozone forming VOCs, such as BTEX. Their ubiquitous presence in ambient air samples, due to the growing consumption, raises the need for toxicity studies which require qualitative and quantitative trace analysis of these compounds. Furthermore, the presence of trace amounts of these substances in a biogas hampers its use as a source of renewable energy by causing expensive damages to the equipment. Thus, siloxane analysis of the biogas is essential in determining if purification is needed before the use for energy production. The method developed in this study for these aims has good sensitivity (LOD 4–6 μg/m3), good precision (RSD < 10%), good accuracy (> 93%) and high selectivity. It was also shown that by using this method with hexamethyl-d18-disiloxane as an internal standard, detection and quantification of D4 and D5 in real biogas samples can be done with a better sensitivity (LOD ~ 2 μg/m3), high precision (RSD < 5%), and high accuracy (> 97%). Various biogas samples collected from the landfill site of the Complexe Environnemental de Saint-Michel in Montreal have been successfully analyzed by this new method. Concentrations measured were in the ranges of 131–1275 µg/m3 for D4 and 250–6226 µg/m3 for D5. These results represent the first primary-literature-reported data on siloxanes D4 and D5 contents of landfill-derived biogases as a function of the refuse age.