Seismic structure along transitions from flat to normal subduction: central Mexico, southern Peru, and southwest Japan

The fine-scale seismic structure of the central Mexico, southern Peru, and southwest Japan subduction zones is studied using intraslab earthquakes recorded by temporary and permanent regional seismic arrays. The morphology of the transition from flat to normal subduction is explored in central Mexico and southern Peru, while in southwest Japan the spatial coincidence of a thin ultra-slow velocity layer (USL) atop the flat slab with locations of slow slip events (SSEs) is explored. This USL is also observed in central Mexico and southern Peru, where its lateral extent is used as one constraint on the nature of the flat-to-normal transitions.

In western central Mexico, I find an edge to this USL which is coincident with the western boundary of the projected Orozco Fracture Zone (OFZ) region. Forward modeling of the 2D structure of the subducted Cocos plate using a finite-difference algorithm provides constraints on the velocity and geometry of the slab’s seismic structure in this region and confirms the location of the USL edge. I propose that the Cocos slab is currently fragmenting into a North Cocos plate and a South Cocos plate along the projection of the OFZ, by a process analogous to that which occurred when the Rivera plate separated from the proto-Cocos plate 10 Ma.

In eastern central Mexico, observations of a sharp transition in slab dip near the abrupt end of the Trans Mexican Volcanic Belt (TMVB) suggest a possible slab tear located within the subducted South Cocos plate. The eastern lateral extent of the USL is found to be coincident with these features and with the western boundary of a zone of decreased seismicity, indicating a change in structure which I interpret as evidence of a possible tear. Analysis of intraslab seismicity patterns and focal mechanism orientations and faulting types provides further support for a possible tear in the South Cocos slab. This potential tear, together with the tear along the projection of the OFZ to the northwest, indicates a slab rollback mechanism in which separate slab segments move independently, allowing for mantle flow between the segments.

In southern Peru, observations of a gradual increase in slab dip coupled with a lack of any gaps or vertical offsets in the intraslab seismicity suggest a smooth contortion of the slab. Concentrations of focal mechanisms at orientations which are indicative of slab bending are also observed along the change in slab geometry. The lateral extent of the USL atop the horizontal Nazca slab is found to be coincident with the margin of the projected linear continuation of the subducting Nazca Ridge, implying a causal relationship, but not a slab tear. Waveform modeling of the 2D structure in southern Peru provides constraints on the velocity and geometry of the slab’s seismic structure and confirms the absence of any tears in the slab.

In southwest Japan, I estimate the location of a possible USL along the Philippine Sea slab surface and find this region of low velocity to be coincident with locations of SSEs that have occurred in this region. I interpret the source of the possible USL in this region as fluids dehydrated from the subducting plate, forming a high pore-fluid pressure layer, which would be expected to decrease the coupling on the plate interface and promote SSEs.

Boundary-layer transition on a slender cone in hypervelocity flow with real gas effects

The laminar to turbulent transition process in boundary layer flows in thermochemical nonequilibrium at high enthalpy is measured and characterized. Experiments are performed in the T5 Hypervelocity Reflected Shock Tunnel at Caltech, using a 1 m length 5-degree half angle axisymmetric cone instrumented with 80 fast-response annular thermocouples, complemented by boundary layer stability computations using the STABL software suite. A new mixing tank is added to the shock tube fill apparatus for premixed freestream gas experiments, and a new cleaning procedure results in more consistent transition measurements. Transition location is nondimensionalized using a scaling with the boundary layer thickness, which is correlated with the acoustic properties of the boundary layer, and compared with parabolized stability equation (PSE) analysis. In these nondimensionalized terms, transition delay with increasing CO₂ concentration is observed: tests in 100% and 50% CO₂, by mass, transition up to 25% and 15% later, respectively, than air experiments. These results are consistent with previous work indicating that CO₂ molecules at elevated temperatures absorb acoustic instabilities in the MHz range, which is the expected frequency of the Mack second-mode instability at these conditions, and also consistent with predictions from PSE analysis. A strong unit Reynolds number effect is observed, which is believed to arise from tunnel noise. N_Tr for air from 5.4 to 13.2 is computed, substantially higher than previously reported for noisy facilities. Time- and spatially-resolved heat transfer traces are used to track the propagation of turbulent spots, and convection rates at 90%, 76%, and 63% of the boundary layer edge velocity, respectively, are observed for the leading edge, centroid, and trailing edge of the spots. A model constructed with these spot propagation parameters is used to infer spot generation rates from measured transition onset to completion distance. Finally, a novel method to control transition location with boundary layer gas injection is investigated. An appropriate porous-metal injector section for the cone is designed and fabricated, and the efficacy of injected CO₂ for delaying transition is gauged at various mass flow rates, and compared with both no injection and chemically inert argon injection cases. While CO₂ injection seems to delay transition, and argon injection seems to promote it, the experimental results are inconclusive and matching computations do not predict a reduction in N factor from any CO₂ injection condition computed.

Kinetic theory of normal quantum fluids

Close to equilibrium, a normal Bose or Fermi fluid can be described by an exact kinetic equation whose kernel is nonlocal in space and time. The general expression derived for the kernel is evaluated to second order in the interparticle potential. The result is a wavevector- and frequency-dependent generalization of the linear Uehling-Uhlenbeck kernel with the Born approximation cross section.

The theory is formulated in terms of second-quantized phase space operators whose equilibrium averages are the n-particle Wigner distribution functions. Convenient expressions for the commutators and anticommutators of the phase space operators are obtained. The two-particle equilibrium distribution function is analyzed in terms of momentum-dependent quantum generalizations of the classical pair distribution function h(k) and direct correlation function c(k). The kinetic equation is presented as the equation of motion of a two -particle correlation function, the phase space density-density anticommutator, and is derived by a formal closure of the quantum BBGKY hierarchy. An alternative derivation using a projection operator is also given. It is shown that the method used for approximating the kernel by a second order expansion preserves all the sum rules to the same order, and that the second-order kernel satisfies the appropriate positivity and symmetry conditions.

I. The attenuation and dispersion of sound in a condensing medium. II. The flow of a gas-particle mixture downstream of a normal shock in a nozzle

I. The attenuation of sound due to particles suspended in a gas was first calculated by Sewell and later by Epstein in their classical works on the propagation of sound in a two-phase medium. In their work, and in more recent works which include calculations of sound dispersion, the calculations were made for systems in which there was no mass transfer between the two phases. In the present work, mass transfer between phases is included in the calculations.

The attenuation and dispersion of sound in a two-phase condensing medium are calculated as functions of frequency. The medium in which the sound propagates consists of a gaseous phase, a mixture of inert gas and condensable vapor, which contains condensable liquid droplets. The droplets, which interact with the gaseous phase through the interchange of momentum, energy, and mass (through evaporation and condensation), are treated from the continuum viewpoint. Limiting cases, for flow either frozen or in equilibrium with respect to the various exchange processes, help demonstrate the effects of mass transfer between phases. Included in the calculation is the effect of thermal relaxation within droplets. Pressure relaxation between the two phases is examined, but is not included as a contributing factor because it is of interest only at much higher frequencies than the other relaxation processes. The results for a system typical of sodium droplets in sodium vapor are compared to calculations in which there is no mass exchange between phases. It is found that the maximum attenuation is about 25 per cent greater and occurs at about one-half the frequency for the case which includes mass transfer, and that the dispersion at low frequencies is about 35 per cent greater. Results for different values of latent heat are compared.

II. In the flow of a gas-particle mixture through a nozzle, a normal shock may exist in the diverging section of the nozzle. In Marble’s calculation for a shock in a constant area duct, the shock was described as a usual gas-dynamic shock followed by a relaxation zone in which the gas and particles return to equilibrium. The thickness of this zone, which is the total shock thickness in the gas-particle mixture, is of the order of the relaxation distance for a particle in the gas. In a nozzle, the area may change significantly over this relaxation zone so that the solution for a constant area duct is no longer adequate to describe the flow. In the present work, an asymptotic solution, which accounts for the area change, is obtained for the flow of a gas-particle mixture downstream of the shock in a nozzle, under the assumption of small slip between the particles and gas. This amounts to the assumption that the shock thickness is small compared with the length of the nozzle. The shock solution, valid in the region near the shock, is matched to the well known small-slip solution, which is valid in the flow downstream of the shock, to obtain a composite solution valid for the entire flow region. The solution is applied to a conical nozzle. A discussion of methods of finding the location of a shock in a nozzle is included.

Normal structures and automorphism groups of t-designs

Combinatorial configurations known as t-designs are studied. These are pairs ˂B, ∏˃, where each element of B is a k-subset of ∏, and each t-design occurs in exactly λ elements of B, for some fixed integers k and λ. A theory of internal structure of t-designs is developed, and it is shown that any t-design can be decomposed in a natural fashion into a sequence of “simple” subdesigns. The theory is quite similar to the analysis of a group with respect to its normal subgroups, quotient groups, and homomorphisms. The analogous concepts of normal subdesigns, quotient designs, and design homomorphisms are all defined and used.

This structure theory is then applied to the class of t-designs whose automorphism groups are transitive on sets of t points. It is shown that if G is a permutation group transitive on sets of t letters and ф is any set of letters, then images of ф under G form a t-design whose parameters may be calculated from the group G. Such groups are discussed, especially for the case t = 2, and the normal structure of such designs is considered. Theorem 2.2.12 gives necessary and sufficient conditions for a t-design to be simple, purely in terms of the automorphism group of the design. Some constructions are given.

Finally, 2-designs with k = 3 and λ = 2 are considered in detail. These designs are first considered in general, with examples illustrating some of the configurations which can arise. Then an attempt is made to classify all such designs with an automorphism group transitive on pairs of points. Many cases are eliminated of reduced to combinations of Steiner triple systems. In the remaining cases, the simple designs are determined to consist of one infinite class and one exceptional case.

A nonlinear systems model for the control mechanism of free fatty acid-glucose metabolosm in normal humans

A mathematical model is proposed in this thesis for the control mechanism of free fatty acid-glucose metabolism in healthy individuals under resting conditions. The objective is to explain in a consistent manner some clinical laboratory observations such as glucose, insulin and free fatty acid responses to intravenous injection of glucose, insulin, etc. Responses up to only about two hours from the beginning of infusion are considered. The model is an extension of the one for glucose homeostasis proposed by Charette, Kadish and Sridhar (Modeling and Control Aspects of Glucose Homeostasis. Mathematical Biosciences, 1969). It is based upon a systems approach and agrees with the current theories of glucose and free fatty acid metabolism. The description is in terms of ordinary differential equations. Validation of the model is based on clinical laboratory data available at the present time. Finally procedures are suggested for systematically identifying the parameters associated with the free fatty acid portion of the model.

I. Studies on the activation of Drosophila phenol oxidase. II. Studies on serum insulin in normal subjects and diabetics

Part I

Phenol oxidase is the enzyme responsible for hardening and pigmentation of the insect cuticle. In Drosophila, phenol oxidase is a latent enzyme. Enzyme activity is produced by the interaction of a number of protein components. A minimal activation scheme consisting of six protein components, designated Pre S, S activator, S, P. P' and Ʌ₁ is described. Quantitative assays have been developed for the S activator, S, P and P' proteins and these components have been partially purified. Experiments describing the interactions of the six components have been conducted and a model for the activation of phenol oxidase in a minimal system is proposed. Possible mechanisms of the reactions between the constituents of the activating system and potential regulatory mechanisms involved in phenol oxidase production and function are discussed.

Part II

A method has been developed for the partial purification of insulin from human serum. A procedure for the determination of the electrophoretic mobility of serum insulin on polyacrylamide gels is described. An electrophoretic analysis of insulin isolated from a normal subject is reported and in addition to a major band, the existence of a number of minor bands of immunoreactive insulin is described. A comparison of the electrophoretic patterns of insulin isolated from normal and diabetic subjects was carried out and indications that differences between them may occur are reported.

Natural cone formation for fast ignition of laser fusion

We propose to utilize the leading pulse of a petawatt class laser to create a conic plasma channel in the dense plasmas. This plasma channel could serve as a natural cone to guide the main pulse to the cone tip, as behaves similarly to the physical Au cone. We estimate that the leading pulse of a petawatt laser could create a natural cone with cone tip only about 100 mu m away from the edge of compressed core plasma. The natural cone formation should be compatible for a good uniform compression and efficient fast heating of the imploded fuel.

Análise comparativa dos instrumentos de gestão em Unidades de Conservação visando a gestão participativa no Cone Sul

A influência humana sobre as unidades de conservação (UCs) deve ser considerada a partir de modelos mais amplos, entendendo que há influência dos processos sociais nas mesmas e que essa é uma dimensão a ser discutida no âmbito das práticas de proteção da natureza. É importante que seja levado em consideração na criação, na ampliação e na gestão de uma UC a participação dos atores envolvidos direta e indiretamente, já que o quadro mundial indica ser uma tendência a criação de novas áreas e o envolvimento da sociedade neste processo. Ante esta realidade objetivou-se, nesta tese, contribuir para o fortalecimento da gestão participativa em UCs no Cone Sul, aqui definido como o conjunto de quatro países: Brasil, Argentina, Uruguai e Chile e tendo como estudo de caso quatro áreas protegidas: Parque Nacional do Itatiaia - Brasil, Parque Nacional Lago Puelo - Argentina, Santuário da Natureza Parque Pumalín - Chile e Paisagem Protegida Lagoa de Rocha Uruguai. Tendo por base os instrumentos de gestão em unidades de conservação no Brasil: plano de manejo, zona de amortecimento, educação ambiental e conselho gestor e sendo os mesmos determinados por normas legais (Leis, Decretos, Resoluções, Instruções Normativas) tais normas foram analisadas e comparadas com a finalidade de averiguar se nos países estudados estes instrumentos eram determinados legalmente, da mesma forma como são no Brasil, bem como se a vertente participativa estava presente nesta determinação. Após verificou-se se na Argentina, no Uruguai e no Chile havia a aplicação dos mesmos instrumentos de gestão em áreas protegidas que no Brasil; bem como foi averiguada a situação dos mesmos nos estudos de caso tendo por base a vertente participativa. Depois houve a contextualização e apresentação das dificuldades na gestão e das pressões sofridas pelas áreas protegidas buscando trazer à tona a realidade em que estão inseridas e das quais compartilham. Para tanto se utilizou de levantamentos bibliográficos, documentais, entrevistas semi-estruturadas com pessoas que tiveram experiências práticas com o problema pesquisado e os estudos de caso. Constatou-se que a determinação legal de instrumentos que propiciem a participação não é, via de regra, essencial para efetivar a gestão participativa da UC, mas a existência dos mesmos sim. Verificou-se que um bom resultado está atrelado às qualidades técnicas e subjetivas da gestão e também dos gestores, que podem ajudar e muito na gestão participativa, juntamente com uma parceria bem fortalecida.

Análise estratigráfica do campo de Pirapema na bacia da foz do Amazonas

A Bacia da Foz do Amazonas localiza-se no extremo noroeste da plataforma continental brasileira, mais precisamente na margem equatorial. Esta margem se distingue da margem leste brasileira, principalmente pela existência de esforços transtensivos que culminaram com a criação de falhas transformantes de direção E-W e, consequente, criação de bacias do tipo pull apart. Esta bacia ainda se difere das demais bacias brasileiras devido à existência de um expressivo pacote sedimentar depositado nos últimos 11 Ma., que pode chegar a mais de 10.000 metros de sedimentos. Tal feição, denominada Cone Amazônico, apresenta ainda um arcabouço estratigráfico pouco compreendido. Neste trabalho, buscou-se trazer novas perspectivas acerca do pacote sedimentar da bacia, com ênfase na análise estratigráfica dos ciclos progradacionais característicos de progradações deltaicas, bem como a distribuição de possíveis reservatórios siliciclásticos. A análise integrada de poços com as interpretações sísmicas possibilitou a confecção de detalhadas correlações estratigráficas para região do Cone Amazônico. Foram também realizadas importantes observações para as formações mais antigas que o Cone Amazônico como, por exemplo, a influência de intrusões ígneas nas formações Caciporé e Calçoene, atingindo até mesmo a Formação Limoeiro (sequência pós-rifte), bem como a presença de falhas normais relacionada à intumescência da feição ígnea, atingindo a plataforma carbonática. Esta bacia constitui uma fronteira exploratória, complexa em seus aspectos estruturais e estratigráficos, onde a interação de fatores como taxa de acomodação e variação do aporte sedimentar ainda não está totalmente compreendido.

Congregação da Escola Normal: da legitimidade outorgada à legitimidade (re) conquistada (1880-1910)

Investigar a forma como a Congregação da Escola Normal se legitimou no cenário político-educacional nos últimos anos do século XIX e nos primeiros anos do século XX é o objetivo de meu estudo. Surgida no Regulamento de criação da Escola Normal a Congregação, era composta pelos professores da instituição que ministravam aulas no curso de formação de professores para as escolas públicas primárias da cidade do Rio de Janeiro. Estes professores eram intelectuais de procedências diversas, com experiência educacional, que se reuniam em sessões, sob a presidência e convite do Diretor da Escola Normal. A legitimação da Congregação foi conquistada pelo Regulamento de 1880, outorgado pelo Governo Imperial e, face ao trabalho e experiência dos congregados à frente desta instituição durante todo um ano, foi-lhes conferido ainda mais poder político, pela elaboração de um novo Regulamento para a Escola Normal, criando-se, então, um grupo diferenciado formado no campo intelectual, pelo conhecimento da formação de professores primários. A Congregação foi extinta em 1888. (Re) conquistando a legitimidade foi criado o Regulamento de 1890, elaborado por Benjamin Constant Botelho de Magalhães, ex- congregado, ex- presidente da Congregação por cinco anos consecutivos e na República ocupando o cargo de Ministro da Instrução Pública, Correios e Telégrafos. Esta pesquisa foi instigada por alguns documentos, ainda não investigados, do Centro de Memória Institucional do Instituto Superior de Educação do Rio de Janeiro, que possibilitaram conhecer a ação política- educacional desses intelectuais da Congregação. Tais fontes, confrontadas com outras de várias instituições de guarda de memória, possibilitaram uma visão não só da ação dos congregados, como de sua rede de sociabilidade dentro e fora da Escola Normal, assim como sua procedência, as estratégias utilizadas como instrumento político e o papel de Benjamin Constant Botelho de Magalhães, líder mais antigo deste grupo. A intervenção política da Congregação, advinda do trabalho realizado na Escola Normal, possibilitou que criassem uma autoimagem de executores do processo civilizador em curso no final do Império e início da República. Os embates travados por este grupo mostram a defesa intransigente da legitimação e o uso de instrumentos próprios da intelectualidade para não perdê-la outra vez.