Ce travail a été réalisé dans le cadre du projet EcOBEx, qui consiste à réduire le bruit du groupe motopropulseur rayonné à l'extérieur par l'ajout d'écrans acoustiques dans le compartiment moteur du véhicule. Les écrans acoustiques sont fabriqués par thermocompression de matériaux poreux uniformes. Les propriétés et l'épaisseur du matériau évoluent en fonction du degré de compression subit par le matériau. L'objectif de ce travail est de proposer des lois pour prédire l'évolution des propriétés des matériaux à partir du taux de compression et de leurs valeurs initiales avant compression. Dans un premier temps, on s'intéresse aux paramètres du modèle de fluide équivalent de Johnson-Champoux-Allard-Lafarge (JCAL) : porosité, résistivité au passage d'air, tortuosité, longueurs caractéristiques visqueuse et thermique, perméabilité thermique statique. Des expressions analytiques sont proposées pour prédire la variation de ces paramètres en fonction de la compression. Elles sont développées à partir d'un modèle de matériaux fibreux à fibres cylindriques où les variations d'orientation des fibres induites par la thermocompression peuvent être prises en compte. Les résultats sont en bon accord avec les mesures effectuées sur deux types de matériaux (mousse à cellules ouvertes et fibreux). Un modèle empirique généralisé est finalement proposé pour la résistivité au passage d'air. Dans un deuxième temps, on s'attache aux paramètres élastiques dont la connaissance est essentielle pour prendre en compte la vibration du squelette. La méthode expérimentale quasistatique est d'abord appliquée pour étudier l'évolution du module de Young par rapport au taux de compression pour les fibres et les mousses. Une loi de puissance est alors proposée pour prédire ces variations. Enfin, une méthode inverse pour estimer les propriétés élastiques d'un matériau poroélastique orthotrope à partir d'une mesure vibratoire d'un écran tricouche thermo comprimé est proposée. Cette méthode permet de caractériser les propriétés élastiques du matériau poreux dans une situation proche de son application réelle / This work was carried out in the framework of the project EcOBEx, whose main objective was to reduce the passby noise by mean of acoustic shields in the engine compartment of the vehicle. The acoustic shields are manufactured by thermocompression of uniform porous materials. The material’s properties and thickness evolve according to the degree of compression experienced by the material. The objective of this work is to propose some laws to predict the evolution of the materials properties from their initial non compressed values and the compression rate. Firstly, we focus on the parameters of the Johnson-Champoux-Allard-Lafarge (JCAL) equivalent fluid model : porosity, air-flow resistivity, tortuosity, viscous characteristic lengths, thermal characteristic length, static thermal permeability. Some analytical expressions are proposed to predict the variation of these parameters as a function of compression. They are derived from a physical model of cylindrical fibres where the fibre orientation variations induced by the thermocompression can be taken into account. The results are in good agreement with the measurements made two types of materials (open cell foam and fibrous). A generalized empirical model is finally proposed for the air-flow resistivity.In a second part, we focus on the elastic parameters, which are necessary to take into account the vibration of the skeleton. The quasi-static experimental method is first applied to study the evolution of the Young’s modulus along the compression rate for fibrous and open cell foams. A power law is then proposed to predict these variations. Finally, an inverse method for estimating the elastic properties of an orthotropic poro-elastic material from a vibratory measurement of a thermocompressed three layer sandwich structure is proposed. This method allows us to characterize the elastic properties of a porous material in a situation close to its actual application.

This work investigated the synthesis, characterisation and properties of known and novel scandium carboxylate Metal-organic Frameworks (MOFs). The first part reports the performance of these Sc-MOFs as Lewis acid catalysts. The porous MOF scandium trimesate MIL-100(Sc) and the scandium terephthalates such as MIL-101(Sc), MIL-88B(Sc) and MIL-68(Sc) (prepared as the Sc-analogue for the first time), and scandium biphenyldicarboxylate MIL-88D(Sc) were prepared and tested as Lewis acid catalysts. Chromium MIL-101 and MIL-100 and scandium-exchanged zeolites were prepared for comparison. Moreover, successful encapsulation of the phosphotungstate polyoxometalates (POMs) in the cavities of MIL-101(Sc) enhanced the stability of this material. These scandium and chromium MOFs, POM-MOF composites and scandium-exchanged zeolite were tested as heterogeneous catalysts in the carbonyl ene reaction between α-methyl styrene and ethyl trifluoropyruvate. This showed that MIL-100(Sc) was the best catalyst for this reaction, achieving a conversion of 99% to the desired product. The stabilized MIL-101(Sc) was also very active, but less selective for this reaction. Acetalisation of acetaldehyde was also studied, and in this reaction the isoreticular MOFs MIL-88(B) and MIL-88D(Sc) were the most active and selective catalysts. For this reaction, the activity of MIL-100(Sc) was low, which was attributed to reduce pore size and blockage. Functionalisation of the range of scandium terephthalates such as MIL-101(Sc), MIL-88B(Sc), MIL-68(Sc), Sc₂BDC₃,and MIL-53(Sc) particularly with –NH₂ groups, made up the second main part of this research. Solvothermal synthesis were performed at lower temperatures and using mixed solvents to synthesize these amino-terephthalate MOFs, often for the first time, and their adsorption properties were studied, particularly for the adsorption of CO₂. The synthesis of pure Sc₂(NH₂-BDC)₃ and Sc₂(Br-BDC)₃ was achieved for first time by a solvothermal route, lower temperatures, and mixed solvents. This approach yielded large crystals suitable for single crystal diffraction and microcrystal IR spectroscopy. Post-synthetic modification (PSM) of Sc₂(NH₂-BDC)₃ was explored by incorporation of NO₂-groups into the framework by solvent-assisted ligand exchange. The adsorption properties of functionalised and post-modified materials were compared with those of Sc₂BDC₃ and Sc₂(NO₂-BDC)₃ for methanol and hydrocarbons This study demonstrated that Sc₂BDC₃ and Sc₂(NH₂-BDC)₃ give the higher uptakes while the –Br and –NO₂ forms display shape selectivity for n-alkanes over iso-alkanes. Amino-functionalised MIL-53(Sc) was prepared for the first time using a mixed ligand approach, so that 10-20% of a second functionalised terephthalate ligand (NO₂, Br, -(OH)₂) was required for successful single phase synthesis in addition to amino-terephthalic acid. The materials were characterised using PXRD, TGA and gas adsorption, which confirms the samples show a range of behaviour for CO₂ adsorption. Notably, the `breathing´ behaviour is strongly dependent on the type of functionalisation. Finally, the exploratory synthesis of novel scandium MOFs, using isophthalic acid (IA) and its amino and nitro- derivatives, 2,5-furandicarboxylate (FDA) and the porphyrin tetra(carboxyphenyl)porphyrin (TCPP) as linkers was carried out and six novel materials were synthesized, three of which gave crystals large enough for their structure to be determined by single crystal diffraction. Further characterisation was carried out by PXRD, TGA and solid-state NMR. Some of these materials have been shown to be porous to CO₂ and N₂.

La spectroscopie de RMN des solides est une méthode de choix pour la caractérisation de la structure et de la dynamique à l'échelle atomique des matériaux ordonnés et désordonnés. Cependant, l'utilisation de cette technique est limitée par son manque de sensibilité qui empêche l'observation de la surface des matériaux, souvent responsable de leurs propriétés chimiques. Il a été récemment montré que la Polarisation Nucléaire Dynamique (en anglais, Dynamic Nuclear Polarization, DNP) dans les conditions de rotation à l'angle magique (en anglais Magic-Angle Spinning, MAS) permet de surmonter cette limitation. Cette technique permet d'augmenter la sensibilité de la RMN de plusieurs ordres de grandeur. Elle consiste à transférer la polarisation élevée des électrons non-appariés vers les noyaux grâce une irradiation micro-onde. L'objectif de cette thèse consiste à appliquer la MAS-DNP pour sonder la structure de matériaux nanostructurés inorganiques et hybrides. Ces nouvelles informations faciliteront l'amélioration raisonnée de leurs propriétés. Deux classes de matériaux ont été étudiées : des nanoparticules (NP) de silice fonctionnalisées avec des chaînes siloxane et deux formes d'alumine. Les NP de silice fonctionnalisées permettent d'accroître la durée de vie des piles à combustible. Grâce au gain en sensibilité offert par la DNP, il a été possible de sonder les connectivités et les proximités 29Si-29Si dans ces matériaux et ainsi d'élucider le mode de condensation des chaînes siloxane à la surface des NP de silice. La seconde classe de matériaux étudiés comprend deux formes d'alumine : l'alumine- et l'alumine mésoporeuse. La première est largement utilisée dans l'industrie comme catalyseur, support de catalyseur et adsorbant, tandis que la seconde est un matériau prometteur du fait de sa porosité contrôlée et de son accessibilité élevée. Néanmoins, la structure de ces alumines est toujours largement débattue car elles ne forment pas des monocristaux. Grâce à une meilleure compréhension des performances de la MAS-DNP, conduisant notamment à une optimisation de la préparation des échantillons, il a été possible de compenser la très faible efficacité des expériences 27Al sélectives de la surface. La structure de la surface d'alumine a été sondée par des expériences RMN avancées à deux dimensions et une nouvelle expérience a été proposée pour l'observation sélective du cœur de l'alumine. Afin d'obtenir davantage d'informations sur les proximités 27Al-27Al, nous avons cherché à mieux comprendre les séquences de recouplage dipolaire homonucléaire pour des noyaux 27Al. Pour ce faire, la dynamique de spin au cours de ces séquences a été analysée par la théorie de l'hamiltonien moyen et des simulations numériques. En résumé, au cours de cette thèse, nous avons montré comment la MAS-DNP ouvre de nouvelles perspectives pour l'étude des matériaux nanostructurés. / Solid-state NMR spectroscopy is a powerful analytical technique to characterize the atomic-level structure and dynamics of both ordered and disordered materials. However, its main limitation is the lack of sensitivity, particularly preventing studies on the surface of materials, an important region determining their chemical properties. It has been recently shown that Magic Angle Spinning Dynamic Nuclear Polarization (MAS-DNP) could overcome this difficulty. This technique can provide an enhancement of NMR sensitivity of many orders of magnitude. It is based on the partial microwave-driven transfer of the large intrinsic polarization of electron spins to nuclear spins, making impractical NMR experiments feasible. The aim of this work is to use this MAS-DNP technique to help gain new insights into the structure of inorganic and hybrid nanostructured materials. Such knowledge will facilitate the rational improvement of their properties. Two classes of materials are investigated. The first ones are siloxane-functionalized silica nanoparticles (NPs), which can be used to extend the working durability of fuel cells. Owing to the sensitivity enhancement achieved by MAS-DNP, the condensation network structure of siloxanes bound to the surface of silica NPs could be elucidated using 29Si-29Si homonuclear correlation NMR experiments. The second class of investigated systems encompasses two forms of aluminas, -alumina and mesoporous alumina. The former is widely used in industry as a catalyst, catalyst support, and adsorbent, whereas the latter is a promising material owing to its highly controlled porosity and its high surface accessibility. Nevertheless, their structures are still under heavy investigation since they do not form single crystals. Due to an improved comprehension of MAS-DNP performance, including optimized sample preparation, the obstacle of extremely low efficiency for surface-selective 27Al NMR experiments is circumvented. Sophisticated two-dimensional NMR experiments are employed to provide selective insights into structures on the surface and a new experiment is proposed to study only the bulk of these materials. For achieving further information on the spatial proximities between different 27Al sites, a thorough understanding of homonuclear dipolar recoupling pulse sequences for half-integer quadrupolar nuclei is required. In order to do this, Average Hamiltonian theory and numerical simulations are used to analyze the spin dynamics resulting from these pulse sequences, giving insights into their relative performances. Overall, it is shown that the use of MAS-DNP can be crucial for the characterization of state-of-the-art materials, highlighting the future importance of this technique.

The research presented in this thesis aims to determine the effectiveness of the uptake of toxic gases by several MOFs for future use in gas-mask cartridges, and to attempt to compensate for any deficiencies they show in “real-world” conditions. The main findings of this thesis confirm that MOFs are suitable candidates for the use in respirator cartridge materials and provide high capacity for adsorption of toxic gases like ammonia and STAM-1 in particular showed an impressive improvement in humid conditions, which normally decrease the performance of MOFs made from the same materials, such as HKUST-1. STAM-1's improved performance in humid conditions is attributed to the structural shift it displays upon dehydration and rehydration and this was shown to be the case in a structural analogue, CuEtOip, which was synthesised in the author's research group. This analogue was analysed using a combination of single crystal XRD and solid state MAS-NMR, both of which showed the structural change occurring and displays similar gas sorption behaviours, suggesting that this mechanism is the source of STAM-1's improved performance in humid conditions. This thesis also examines the “Armoured MOF” process and investigates the transferability of the process of deposition of mesoporous silica onto MOFs with vastly different properties and synthetic methods compared to those published in the original publication. Alongside this, attempts to protect MOFs using mesoporous silicates were investigated for their viability.

Polymeric membranes exhibit a trade-off between permeability and selectivity in gas separations which limits their viability as an economically feasible post-combustion carbon capture technology. One approach to improve the separation properties of polymeric membranes is the inclusion of particulate materials into the polymer matrix to create what are known as mixed matrix membranes (MMMs). By combining the polymer and particulate phases, beneficial properties of both can be seen in the resulting composite material. One of the most notable challenges in producing mixed matrix membranes is in the formation of performance-hindering defects at the polymer-filler interface. Non-selective voids or polymer chain rigidification are but two non-desirable effects which can be observed. The material selection and synthesis route are key to minimising these defects. Thin membranes are also highly desirable to achieve greater gas fluxes and improved economical separation processes. Hence smaller nano-sized particles are of particular interest to minimise the disruption to the polymer matrix. This is a challenge due to the tendency of some small particles to form agglomerations. This work involved introducing novel nanoscale filler particles into PEBAX MH1657, a commercially available block-copolymer consisting of poly(ethylene oxide) and nylon 6 chains. Poly(ether-b-amide) materials possess an inherently high selectivity for the CO2/N2 separation due to polar groups in the PEO chain but suffer from low permeabilities. Mixed matrix membranes were fabricated with PEBAX MH1657 primarily using two filler particles, nanoscale ZIF-8 and novel nanoscale MCM-41 hollow spheres. This work primarily investigated the effects of the filler loading on both the morphology and gas transport properties of the composite materials. The internal structure of the membranes was examined using scanning electron microscopy (SEM), and the gas transport properties determined using a bespoke time-lag gas permeation apparatus. ZIF-8 is a zeolitic imidazolate framework which possesses small pore windows that may favour CO2 transport over that of N2. ZIF-8-PEBAX membranes were successfully synthesised up to 7wt.%. It was found that for filler loadings below 5wt.%, the ZIF-8 was well dispersed within the polymer phase. At these loadings modest increases in the CO2 permeability coeffcient of 0-20% compared to neat PEBAX were observed. Above this 5wt.% loading large increases in both CO2, N2 and He permeability coeffcients coincided with the presence of large micron size clusters formed of hundreds of filler ZIF-8 particles. The increases in permeability were attributed to voids observed within the clusters. MCM-41 is a metal organic framework that has seen notable interest in the field of carbon capture, due to its tunable pore size and ease of functionalisation. Two types of novel MCM-41 hollow sphere (MCM-41-HS) of varying pore size were incorporated into PEBAX and successfully used to fabricate MMMs up to 10wt.%. SEM showed the MCM-41 generally interacted well with the polymer with no signs of voids and was generally well dispersed. However, some samples of intermediate loading in both cases showed highly asymmetric distribution of nanoparticles and high particle density regions near one external face of the membrane which also showed the highest CO2 permeability coeffcients. It is suspected that these high permeabilities are due to the close proximity of nanoparticles permitting these regions to act in a similar way to percolating networks. It was determined that there was no observable effect of the varying pore size which was expected given the transport in the pores should be governed by Knudsen diffusion.

Cette thèse est consacrée à la mécanique et à la mécanique statistique de biofilaments/biopolymères et de leur modèle le plus répandu le Worm-Like Chain (WLC) qu’il s’avère nécessaire d’étendre. Nous étudions WLC à 2-d en présence d’obstacles plus proches que la longueur de persistance. Nous caractérisons le mouvement aux temps courts par des simulations numériques complétées par des calculs analytiques. Des concepts similaires servent à décrire des ADN greffés balayés par le front d’une vésicule en cours d’étalement, l’adhésion de la vésicule est promue par des paires biotine/streptavidine qui contraignent les molécules d'ADN sur des chemins étroits où ils peuvent être imagés. Les microtubules (MT) ici stabilisés au taxol, présentent par contre certains comportements qui échappent au WLC et doivent être ramenés à leur structure interne : i)les déflexions latérales d’un MT attaché par un bout correspondent à une longueur de persistance apparente qui augmente avec la longueur ii) les MT adoptent des formes super-hélicoïdales. Ces deux points sont établis au moyen d’analyses de forme des MT. Des transitions de forme corrélées le long du MT mises en évidence sont compatibles avec un modèle basé sur la bistabilité du dimère de tubuline. Finalement un modèle de chaîne super-hélicoïdale comprenant une courbure et une torsion spontanées élargi le WLC. Confiné à 2-d, HWLC peut adopter un état fondamental circulaire ou sinueux caractérisé par le nombre de points d’inflexion où se concentre la torsion (twist-kink). Dans le cas circulaire, il existe des états métastables proches, à petit nombre de twist-kinks, hyperflexibles. / This PhD is devoted to the mechanics and statistical mechanics of biofilaments and their most widespread model, the Worm-Like Chain (WLC) model, which, as it turns out, needs to be extended. We study the WLC in 2-d in the presence of obstacles closer than their persistence length. We characterize the short time motion by numerical simulations complemented by analytical calculations. Similar concepts serve to describe grafted DNAs swept by the front of a spreading vesicle whose adhesion is promoted by biotin/streptavidin bonds, which constrain the DNAs on narrow paths where they can be imaged. Microtubules (MT), here stabilized by taxol, show features which cannot be rationalized by the WLC and shall be related to their internal structure : i)lateral deflections of a clamped MT correspond to an effective persistence length growing with the MT size ii) MT adopt super-helical shapes. These two points are proven by refined image analysis. We analyze shape transitions correlated along the MT which are compatible with a model based on dimer bi-stability. Finally, a super helical chain model (HWLC) allowing for spontaneous curvature and twist is developed which extends the WLC. When confined to 2-d, the HWLC can adopt a ground state which is circular or wavy with inflection points where twist accumulates, so-called twist-kinks. In the circular case there exist close metastable states, with a small number of twist-kinks, which are hyperflexible.

L’objectif de la thèse a été de comprendre la dynamique protonique et l'adsorption d'eau dans de nouveaux matériaux poreux identifiés expérimentalement comme des candidats prometteurs pour des applications dans le domaine de la conduction protonique et du transfert de chaleur par adsorption. Dans ce contexte, des simulations à l’échelle électronique (Théorie de la fonctionnelle de la Densité) et atomique (Monte Carlo et Dynamique Moléculaire classique) ont permis (i) d’élucider les mécanismes de conduction protonique assistées par l’eau de deux matériaux hybrides de type MOFs, MIL-163(Zr) et KAUST-7', et d'un phosphate de titane, TiIVTiIV(HPO4)4 à l’origine de leurs performances exceptionnelles et (ii) d’interpréter les comportements d’adsorption de l’eau d’une série de matériaux hybrides CUK-1(Me), MOF-801(Zr) and MIL-100(Fe) qui peuvent être modulées par la nature de leur centre métallique, la création de défauts et l’incorporation de sites de coordination insaturés. Cette connaissance fondamentale devrait permettre de voir émerger de façon plus efficace des matériaux pour les deux applications visées. / The objective of this PhD thesis was to gain insight into the proton dynamics and water adsorption mechanisms in novel porous materials that have been identified experimentally as promising candidates for low temperature proton conduction and adsorption-based heat reallocation-related applications. This was achieved by combining advanced computational tools at the electronic (Density Functional Theory) and atomic (force field_based Monte Carlo and Molecular Dynamics) levels to (i) reveal the water-assisted proton migration pathway through the pores of the hybrid metal organic frameworks MIL-163(Zr) and KAUST-7’and the inorganic phosphonate TiIVTiIV(HPO4)4 materials at the origin of their outstanding proton conduction performances and (ii) explain the water adsorption behaviors of a series of metal organic frameworks CUK-1(Me), MOF-801(Zr) and MIL-100(Fe) that can be tuned by changing the nature of the metal center, creating defects and incorporating coordinatively unsaturated sites. Such a fundamental understanding is expected to pave the way towards a more efficient development of materials for the two explored applications.

Une porosité hiérarchisée au sein de mousses solides permet la combinaison des avantages offerts par différentes échelles de structuration : les macropores offrent un grand volume poreux et une diffusion facilitée des réactifs, tandis que mésopores et micropores permettent confinement et grande surface spécifique. La chimie intégrative, en associant la matière molle et la chimie douce, dispose d’une variété de voies de synthèse pour obtenir de tels matériaux. Nous avons ainsi utilisé des émulsions et des tensioactifs comme empreintes pour la chimie sol-gel afin d’obtenir des mousses de silice présentant une porosité hiérarchisée. Elles ont ensuite été employées comme empreintes dures pour synthétiser des mousses de carbone, utilisées comme électrodes de batteries lithium-soufre présentant de grandes capacités. Nous avons ensuite étudié l’effet sur leurs performances de nanoparticules métalliques. Ces mousses ont également été testées pour le stockage de l’hydrogène, et nous avons montré un cyclage avec LiBH4 en présence de nanoparticules métalliques. Enfin, les mousses de silices ont été étudiées en tant que support pour la croissance bactérienne. En effet, lorsque des bactéries croissent dans un milieu confiné, leur cinétique de croissance et leur concentration finale peuvent être totalement différentes de ce qui est observé dans des cultures classiques, ce qui a un grand intérêt dans des domaines comme la biocatalyse. / Hierarchical porosity in solid foams allows the combination of the advantages offered by the different scales of structuration : macropores allow high porous volume and easy diffusion of reagents, while mesopores and micropores allow confinement and high specific surface areas. Integrative chemistry, associating soft matter and soft chemistry, offers a variety of synthetic pathways to generate such materials. We used emulsions and surfactants to template sol-gel chemistry in order to obtain silica foams bearing hierarchical porosity. These silica foams were employed as hard templates to synthesize carbon foams, used as electrodes in lithium-sulfur batteries bearing high capacities. We then explored the impact on performances of loading them with metallic nanoparticles. We also studied the potential of those carbon foams for hydrogen storage, and we obtained cycling capabilities with LiBH4 after loading them with metallic nanoparticles. Finally, the silica foams were used as a support for bacterial growth. Indeed, when bacteria grow in a confined medium, the kinetics of growth and their final concentration can be totally different than what is observed in classical cultures, which is of high interest for applications such as biocatalysis.

In this work, flow through synthetic arrangements of contacting spheres is studied as a model problem for porous media and packed bed type flows. Direct numerical simulations are performed for moderate pore Reynolds numbers in the range, 10 ≤ Re ≤ 600, where non-linear porescale flow features are known to contribute significantly to macroscale properties of engineering interest. To first choose and validate appropriate computational models for this problem, the relative performance of two numerical approaches involving body conforming and non-conforming grids for simulating porescale flows is examined. In the first approach, an unstructured solver is used with tetrahedral meshes, which conform to the boundaries of the porespace. In the second approach, a fictitious domain formulation (Apte et al., 2009. J Comput. Phys. 228 (8), 2712-2738) is used, which employs non-body conforming Cartesian grids and enforces the no-slip conditions on the pore boundaries implicitly through a rigidity constraint force. Detailed grid convergence studies of both steady and unsteady flow through prototypical arrangements of spheres indicate that for a fixed level of uncertainty, significantly lower grid densities may be used with the fictitious domain approach, which also does not require complex grid generation techniques. Next, flows through both random and structured arrangements of spheres are simulated at pore Reynolds numbers in the steady inertial ( 10 ≲ Re ≲ 200) and unsteady inertial (Re ≈ 600) regimes, and used to analyze the characteristics of porescale vortical structures. Even at similar Reynolds numbers, the vortical structures observed in structured and random packings are remarkably different. The interior of the structured packings are dominated by multi-lobed vortex rings structures that align with the principal axes of the packing, but perpendicular to the mean flow. The random packing is dominated by helical vortices, elongated parallel to the mean flow direction. The unsteady dynamics observed in random and structured arrangements are also distinct, and are linked to the behavior of the porescale vortices. Finally, to investigate the existence and behavior of transport barriers in packed beds, a numerical tool is developed to compute high resolution finite-time Lyapunov exponent (FTLE) fields on-the-fly during DNS of unsteady flows. Ridges in this field are known to correspond to Lagrangian Coherent Structures (LCS), which are invariant barriers to transport and form the skeleton of time dependent Lagrangian fluid motion. The algorithm and its implementation into a parallel DNS solver are described in detail and used to explore several flows, including unsteady inertial flow in a random sphere packing. The resulting FTLE fields unambiguously define the boundaries of dynamically distinct porescale features such as counter rotating helical vortices and jets, and capture time dependent phenomena including vortex shedding at the pore level. / Graduation date: 2013

The decision to bury high level nuclear wastes in deep geological formations led to the study of the Hanford Nuclear Reservation as one of three possible sites for the first nuclear waste repository in the United States. To adequately evaluate the environmental impact of siting nuclear waste repositories in basalt aquicludes, it is essential to know the effects on parameter identification algorithms of thermal gradients that exist in these basaltic aquicludes. Temperatures of approximately 60° C and pressures of approximately 150 atms can be expected at potential repository sites located at depths of approximately 1000m. The phenomenon of over-recovery has been observed in some pumping tests conducted at the Hanford Nuclear Reservation. This over-recovery phenomenon may possibly be due to variations in the fluid density caused by thermal gradients. To asses the potential effects of these thermal gradients on indirect parameter identification algorithms, a systematic scaling of the governing field equations is required in order to obtain dimensionless equations based on the principle of similarity. The constitutive relationships for the specific weight of the fluid and for the porosity of the aquiclude are assumed to be exponentially dependent on the pressure gradient. The dynamic pressure is converted to the piezometric head and the flow equation for the piezometric head is then scaled in radial coordinates. Order-ofmagnitude estimates are made for all variables in unsteady flow for a typical well test in a basaltic aquiclude. Retaining all nonlinear terms, the parametric dependency of the flow equation on the classical dimensionless thermal and hydraulic parameters is demonstrated. These classical parameters include the Batchelor, Fourier, Froude , Grashof, and Reynolds Numbers associated with thermal flows. The flow equation is linearized from order-of-magnitude estimates based on these classical parameters for application in the parameter identification algorithm. Two numerical solutions are presented which predict hydraulic head given a continuous set of flow parameters. The first solution uses a totally numerical finite difference scheme while the second combines an analytical solution with a numerical solution. A radial coordinate system is utilized for describing an anisotropic confined aquifer. The classical inverse parameter identification problem is solved using an indirect method. This method is based on the minimization of a objective function or error criterion consisting of three parts: 1) least-squares error of head residuals; 2) prior information of flow parameters; and 3) regularization. An adjoint equation is incorporated into the method to eliminate the need to differentiate the heads with respect to the parameters being identified, increasing the stability of the algorithm. Verification of the parameter identification algorithm utilizes both "synthetic", computed generated input data and field data from a well test for a confined aquifer within the Columbia Plateau near Stanfield, Oregon. The method used is found to give parameter estimates which are both stable and unique. / Graduation date: 1992