Observation and interpretation of tectonic strain release mechanisms

In four chapters various aspects of earthquake source are studied.

Chapter I

Surface displacements that followed the Parkfield, 1966, earthquakes were measured for two years with six small-scale geodetic networks straddling the fault trace. The logarithmic rate and the periodic nature of the creep displacement recorded on a strain meter made it possible to predict creep episodes on the San Andreas fault. Some individual earthquakes were related directly to surface displacement, while in general, slow creep and aftershock activity were found to occur independently. The Parkfield earthquake is interpreted as a buried dislocation.

Chapter II

The source parameters of earthquakes between magnitude 1 and 6 were studied using field observations, fault plane solutions, and surface wave and S-wave spectral analysis. The seismic moment, M_O, was found to be related to local magnitude, M_L, by log M_O = 1.7 M_L + 15.1. The source length vs magnitude relation for the San Andreas system found to be: M_L = 1.9 log L - 6.7. The surface wave envelope parameter AR gives the moment according to log M_O = log AR₃₀₀ + 30.1, and the stress drop, τ, was found to be related to the magnitude by τ = 0.54 M - 2.58. The relation between surface wave magnitude M_S and M_L is proposed to be M_S = 1.7 M_L - 4.1. It is proposed to estimate the relative stress level (and possibly the strength) of a source-region by the amplitude ratio of high-frequency to low-frequency waves. An apparent stress map for Southern California is presented.

Chapter III

Seismic triggering and seismic shaking are proposed as two closely related mechanisms of strain release which explain observations of the character of the P wave generated by the Alaskan earthquake of 1964, and distant fault slippage observed after the Borrego Mountain, California earthquake of 1968. The Alaska, 1964, earthquake is shown to be adequately described as a series of individual rupture events. The first of these events had a body wave magnitude of 6.6 and is considered to have initiated or triggered the whole sequence. The propagation velocity of the disturbance is estimated to be 3.5 km/sec. On the basis of circumstantial evidence it is proposed that the Borrego Mountain, 1968, earthquake caused release of tectonic strain along three active faults at distances of 45 to 75 km from the epicenter. It is suggested that this mechanism of strain release is best described as "seismic shaking."

Chapter IV

The changes of apparent stress with depth are studied in the South American deep seismic zone. For shallow earthquakes the apparent stress is 20 bars on the average, the same as for earthquakes in the Aleutians and on Oceanic Ridges. At depths between 50 and 150 km the apparent stresses are relatively high, approximately 380 bars, and around 600 km depth they are again near 20 bars. The seismic efficiency is estimated to be 0.1. This suggests that the true stress is obtained by multiplying the apparent stress by ten. The variation of apparent stress with depth is explained in terms of the hypothesis of ocean floor consumption.

Modelización acústica del interior de un Tren de Alta Velocidad

[ES]El presente Trabajo de Fin de Grado, titulado ‘Modelización Acústica del Interior de un Tren de Alta Velocidad’, tiene como objetivo el análisis acústico a bajas frecuencias del habitáculo de un coche de un tren de alta velocidad. La temática ha sido elegida debido a la creciente presencia de trenes de alta velocidad en nuestro entorno, en los cuales el Control Acústico o de Ruidos es un aspecto muy importante para el confort del medio de transporte. Dentro de los ruidos por los que se ve afectado el tren, los de baja frecuencia son los más difíciles de tratar y controlar, y es por ello que van a constituir la línea de trabajo de este proyecto. La estructura de lo que se va a tratar en este proyecto es la siguiente: En primer lugar, se analizará el contexto en que se encuadra este proyecto y las razones que han llevado a su realización. Posteriormente, se explicarán los fundamentos teóricos que hay detrás de los análisis que se van a realizar. Más adelante se pasará al análisis del caso práctico que se ha elegido para ilustrar el proyecto: el habitáculo de un coche del tren Serie 120 de Renfe, construido por CAF [1, 2, 3]. Se realizarán tanto análisis modales como de respuesta forzada. Dicho ejemplo servirá de base para asentar las conclusiones y proponer la aplicación que se les puede dar a éstas, así como las líneas de investigación para las cuales este proyecto puede ser un punto de partida.

Transmission matrices and lumped parameter models for continuous systems

The use of transmission matrices and lumped parameter models for describing continuous systems is the subject of this study. Non-uniform continuous systems which play important roles in practical vibration problems, e.g., torsional oscillations in bars, transverse bending vibrations of beams, etc., are of primary importance.

A new approach for deriving closed form transmission matrices is applied to several classes of non-uniform continuous segments of one dimensional and beam systems. A power series expansion method is presented for determining approximate transmission matrices of any order for segments of non-uniform systems whose solutions cannot be found in closed form. This direct series method is shown to give results comparable to those of the improved lumped parameter models for one dimensional systems.

Four types of lumped parameter models are evaluated on the basis of the uniform continuous one dimensional system by comparing the behavior of the frequency root errors. The lumped parameter models which are based upon a close fit to the low frequency approximation of the exact transmission matrix, at the segment level, are shown to be superior. On this basis an improved lumped parameter model is recommended for approximating non-uniform segments. This new model is compared to a uniform segment approximation and error curves are presented for systems whose areas very quadratically and linearly. The effect of varying segment lengths is investigated for one dimensional systems and results indicate very little improvement in comparison to the use of equal length segments. For purposes of completeness, a brief summary of various lumped parameter models and other techniques which have previously been used to approximate the uniform Bernoulli-Euler beam is a given.

Levantamento e estudo das ocorrências de grafita do Distrito Grafitífero Aracoiába-Baturité, CE

O Distrito Grafitífero Aracoiába-Baturité apresenta depósitos do tipo gnaisse grafitoso (minério disseminado) e veio (minério maciço) com diferentes origens genéticas e com características físicas e ambientes geológicos de formação próprios. O minério tipo gnaisse grafitoso é de origem sedimentar, singenético, com teores de 1,5 a 8% de C, que se distribuem ao longo de duas extensas faixas paralelas, hospedadas na Subunidade Baturité, que constitui um importante metalotecto regional. A associação de grafita metamórfica disseminada em metassedimentos da Sequência Acarápe constitui um geoindicador de antiga bacia sedimentar neoproterozóica e, também, pode ser considerado como zona de geosutura resultante do subsequente fechamento de um oceano primitivo. As rochas desta subunidade correspondem na paleogeografia da Sequência Acarápe aos fácies de sopé de talude e de planície abissal. O minério tipo veio (fluido depositado) é epigenético e, com teores entre 20% e 70% de C, forma corpos tabulares e bolsões, controlados em escala local por estruturas de alívio (falhas, fraturas, zonas de contato, eixos de dobras etc.) que permitiram a percolação de soluções penumatolíticas relacionadas ao corpo plutônico de Pedra Aguda. As variações dos valores das relações entre isótopos estáveis de carbono (δ13C) na grafita do minério disseminado são de -26,72 a -23,52 e do minério maciço de -27,03 a -20,83, revelando sinal de atividades biológicas (bioassinaturas) e permitem afirmar que a grafita das amostras acima são derivadas de matéria orgânica. Foram apresentados os principais guias de prospecção para grafita e testados os seguintes métodos geofísicos: Eletro-Resistividade; GPR - Ground Penetrating Radar; Magnetometria; VLF (Very Low Frequency); e Polarização Induzida Espectral (IPS) / Resistividade (ER). A conjugação dos métodos de Polarização Induzida Espectral (IPS) e Eletro Resistividade (ER) foi o que demonstrou a melhor eficiência. Com relação à determinação do teor de carbono por termogravimetria (ATG), que é o método mais utilizado para este elemento. Verificou-se, que as faixas de queima atribuídas ao carbono no minério do Distrito de Aracoiába-Baturité (340 a 570C e de 570 a 1050C) eram diferentes das faixas do minério de Minas Gerais (350C a 650C e 650C a 1.050C). Esta constatação indica a necessidade de se determinar previamente as faixas de temperatura para cada região pesquisada.

Gas laser discharge noise and its effect on the laser output

A large portion of the noise in the light output of a laser oscillator is associated with the noise in the laser discharge. The effect of the discharge noise on the laser output has been studied. The discharge noise has been explained through an ac equivalent circuit of the laser discharge tube.

The discharge noise corresponds to time-varying spatial fluctuations in the electron density, the inverted population density and the dielectric permittivity of the laser medium from their equilibrium values. These fluctuations cause a shift in the resonant frequencies of the laser cavity. When the fluctuation in the dielectric permittivity of the laser medium is a longitudinally traveling wave (corresponding to the case in which moving striations exist in the positive column of the laser discharge), the laser output is frequency modulated.

The discharge noise has been analyzed by representing the laser discharge by an equivalent circuit. An appropriate ac equivalent circuit of a laser discharge tube has been obtained by considering the frequency spectrum of the current response of the discharge tube to an ac voltage modulation. It consist of a series ρLC circuit, which represents the discharge region, in parallel with a capacitance C', which comes mainly from the stray wiring. The equivalent inductance and capacitance of the discharge region have been calculated from the values of the resonant frequencies measured on discharge currents, gas pressures and lengths of the positive column. The experimental data provide for a set of typical values and dependencies on the discharge parameters for the equivalent inductance and capacitance of a discharge under laser operating conditions. It has been concluded from the experimental data that the equivalent inductance originates mainly from the positive column while the equivalent capacitance is due to the discharge region other than the positive column.

The ac equivalent circuit of the laser discharge has been shown analytically and experimentally to be applicable to analyzing the internal discharge noise. Experimental measurements have been made on the frequency of moving striations in a laser discharge. Its experimental dependence on the discharge current agrees very well with the expected dependence obtained from an analysis of the circuit and the experimental data on the equivalent circuit elements. The agreement confirms the validity of representing a laser discharge tube by its ac equivalent circuit in analyzing the striation phenomenon and other low frequency noises. Data have also been obtained for the variation of the striation frequency with an externally-applied longitudinal magnetic field and the increase in frequency has been attributed to a decrease in the equivalent inductance of the laser discharge.

A mathematical and experimental investigation of microcycle spectral estimates of semiconductor flicker noise

The experimental portion of this thesis tries to estimate the density of the power spectrum of very low frequency semiconductor noise, from 10^-6.3 cps to 1. cps with a greater accuracy than that achieved in previous similar attempts: it is concluded that the spectrum is 1/f^α with α approximately 1.3 over most of the frequency range, but appearing to have a value of about 1 in the lowest decade. The noise sources are, among others, the first stage circuits of a grounded input silicon epitaxial operational amplifier. This thesis also investigates a peculiar form of stationarity which seems to distinguish flicker noise from other semiconductor noise.

In order to decrease by an order of magnitude the pernicious effects of temperature drifts, semiconductor "aging", and possible mechanical failures associated with prolonged periods of data taking, 10 independent noise sources were time-multiplexed and their spectral estimates were subsequently averaged. If the sources have similar spectra, it is demonstrated that this reduces the necessary data-taking time by a factor of 10 for a given accuracy.

In view of the measured high temperature sensitivity of the noise sources, it was necessary to combine the passive attenuation of a special-material container with active control. The noise sources were placed in a copper-epoxy container of high heat capacity and medium heat conductivity, and that container was immersed in a temperature controlled circulating ethylene-glycol bath.

Other spectra of interest, estimated from data taken concurrently with the semiconductor noise data were the spectra of the bath's controlled temperature, the semiconductor surface temperature, and the power supply voltage amplitude fluctuations. A brief description of the equipment constructed to obtain the aforementioned data is included.

The analytical portion of this work is concerned with the following questions: what is the best final spectral density estimate given 10 statistically independent ones of varying quality and magnitude? How can the Blackman and Tukey algorithm which is used for spectral estimation in this work be improved upon? How can non-equidistant sampling reduce data processing cost? Should one try to remove common trands shared by supposedly statistically independent noise sources and, if so, what are the mathematical difficulties involved? What is a physically plausible mathematical model that can account for flicker noise and what are the mathematical implications on its statistical properties? Finally, the variance of the spectral estimate obtained through the Blackman/Tukey algorithm is analyzed in greater detail; the variance is shown to diverge for α ≥ 1 in an assumed power spectrum of k/|f|^α, unless the assumed spectrum is "truncated".

The tunable negative refractive index in granular composite

The effective refractive index of a kind of granular composite, which consists of granular metallic and magnetic inclusions with different radius embedded in a host medium, is theoretically investigated. Results show that for certain volume fractions of these two inclusions, the negative permittivity peak shifts to low frequency and the peak value increases with increasing radius ratio of the radius of magnetic granulae to that of metallic granulae. Simultaneously, peak value of permeability decreases with the radius ratio, and value peak shifts to high frequency with increasing volume fraction of magnetic inclusion. Therefore, the radius ratio can affect the effective refractive index considerably, and it is found that by adjusting the radius ratio, the refractive index may change between negative and positive values for certain volume fractions of the two inclusions. (c) 2005 Elsevier B.V. All rights reserved.

Insight on how fishing bats discern prey and adjust their mechanic and sensorial features during the attack sequence

Several insectivorous bats have included fish in their diet, yet little is known about the processes underlying this trophic shift. We performed three field experiments with wild fishing bats to address how they manage to discern fish from insects and adapt their hunting technique to capture fish. We show that bats react only to targets protruding above the water and discern fish from insects based on prey disappearance patterns. Stationary fish trigger short and shallow dips and a terminal echolocation pattern with an important component of the narrowband and low frequency calls. When the fish disappears during the attack process, bats regulate their attack increasing the number of broadband and high frequency calls in the last phase of the echolocation as well as by lengthening and deepening their dips. These adjustments may allow bats to obtain more valuable sensorial information and to perform dips adjusted to the level of uncertainty on the location of the submerged prey. The observed ultrafast regulation may be essential for enabling fishing to become cost-effective in bats, and demonstrates the ability of bats to rapidly modify and synchronise their sensorial and motor features as a response to last minute stimulus variations.

Band structure of photonic crystal fibers with silica rings in triangular lattice

The characteristics of the cladding band structure of air-core photonic crystal fibers with silica rings in triangular lattice are investigated by using a standard plane wave method. The numerical results show that light can be localized in the air core by the photonic band gaps of the fiber. By increasing the air-filling fraction, the band gap edges of the low frequency photonic band gaps shift to shorter wavelength.. whereas the band gap width decreases linearly. In order to make a specified light fall in the low frequency band gaps of the fiber, the interplay of the silica ring spacing and the air-filling fraction is also analyzed. It shows that the silica ring spacing increases monotonously when the air-filling fraction is increased, and the spacing range increases exponentially. This type fiber might have potential in infrared light transmission. (c) 2006 Elsevier B.V. All rights reserved.

基底对光学薄膜弱吸收测量的影响

对表面热透镜技术测量光学薄膜弱吸收低频调制时不同基底对测量的影响进行了理论分析。用Lambda-900分光光度计测量了K9和石英基底的Ti3O5单层膜的吸收值，将该组样品作为定标片；用表面热透镜装置分别测量了BK7和石英空白基底及HfO2，ZnO两组不同基底不同厚度单层膜样品的吸收。通过分析比较同一工艺条件下镀制的不同基底薄膜样品用与其同种和不同种基底定标片定标测量的结果，表明在低频测量时需要用与测量样品同种基底的定标片定标；不同厚度样品的测量结果表明，在不能严格满足热薄条件时，测量结果需引入修正值。

Circulação e fluxo de material particulado em suspensão no principal canal de acesso à baía de Sepetiba

Entre 06/08/11 e 25/02/12 foram obtidas séries temporais contínuas de intensidade e direção das correntes e intensidade do eco ao longo de toda a coluna dágua, e medições, de temperatura e pressão, próximas ao fundo, na região adjacente ao canal de acesso à baía de Sepetiba (230'16.5"S e 4359'29.4"W, profundidade local de aproximadamente 25 m) através da utilização de um perfilador acústico ADCP (Acoustic Doppler Current Profiler), modelo WorkHorse BroadBand Sentinel (600 kHz, Teledyne-RDI). A partir dos dados adquiridos, observou-se a existência de correntes intensas próximo ao fundo (até 1,02 m/s), principalmente durante os períodos de enchente sob condições de sizígia, que são fortemente influenciadas pela orientação do canal de navegação. A análise das séries temporais das componentes da velocidade mostraram, em conformidade ao relatado por alguns autores, que esta é uma baía cuja circulação é fortemente influenciada pela dinâmica da maré sendo M2, M4, M6 e M8 as principais componentes harmônicas que atuam no sistema. Além disso, observou-se significativa assimetria da maré, sendo os períodos de enchente consideravelmente mais curtos e associados às correntes mais intensas, o que permite concluir que no setor investigado da baía de Sepetiba há dominância de enchente. Outra característica interessante da área de estudo relaciona-se à observação de que ventos intensos de S-SO são responsáveis pelo empilhamento de água no interior da baía, sendo que altura do nível da superfície da água apresenta relação direta com as variações da pressão atmosférica local. Em diversos períodos, quando há atuação de ventos de E-NE é possível encontrar Água Central do Atlântico Sul (ACAS) no interior da baía de Sepetiba, desde a sua entrada principal até as adjacências da ilha Guaíba. Além disso, foram identificadas diversas oscilações de baixa frequência que puderam ser associadas à variação da pressão atmosférica. Oscilações de alta frequência foram associadas à dinâmica da maré, a co-oscilações da maré e ao vento. Em relação à concentração de Material Particulado em Suspensão (MPS), durante os períodos de sizígia foram registradas as maiores concentrações material particulado na coluna dágua. Durante os períodos de sizígia, o fluxo de MPS é mais pronunciado do que durante as quadraturas, sendo que, independente do período da maré, o fluxo cumulativo de material particulado em suspensão é dirigido para o interior da baía de Sepetiba. Considerando o alinhamento dos vetores de velocidade em conformidade a direção preferencial do canal de navegação, tem-se que o fluxo cumulativo de MPS varia entre dirigido para SE na região próxima ao fundo, a dirigido para NE próximo ao topo da coluna dágua, o que sugere a deflexão do movimento das correntes em consequência do atrito. Ao longo de um dia, o fluxo do material particulado é mais pronunciado durante as enchentes, quando há aumento das tensões cisalhantes que atuam sobre o leito da baía redisponibilizando para a coluna dágua o material que estava depositado no fundo.

Caracterização do reservatório Marlim por inversão acústica

Exploracionistas tem grande interesse em sistemas turbidíticos, pois em geral estes compõem prolíficos plays exploratórios. No entanto, estes potenciais reservatórios se encontram muitas vezes perto ou abaixo de resolução sísmica. Dessa forma, no processo de inversão, é importante integrar os dados sísmicos com qualidade de resolução obtida a partir do seu pré-condicionamento, para que o resultado final possua características detalhadas das camadas. O pré-condicionamento possibilita melhora na resolução dos dados sísmicos, através da atenuação dos ruídos aleatórios. Como objetivo final, foi realizada a inversão acústica em dados sísmicos post stack, migrados em tempo, a um sistema de turbiditos na Bacia de Campos. O principal objetivo da inversão sísmica é transformar o dado de reflexão em propriedades petrofísicas quantitativas. A inversão para impedância acústica é comumente utilizada para predição de porosidade. O fluxo de trabalho proposto foi dividido em cinco estágios principais: pré-condicionamento sísmico do dado 3D, correlação poço-sísmica, construção do modelo de baixa frequência, inversão do dado, e estimativa da porosidade. Os resultados mostraram que o cubo de impedância acústica invertido possui resolução muito superior quando comparado com o dado em amplitude sísmica, possibilitando melhor visualização das feições geológicas do Campo de Marlim. Além de suas limitações, como desconsiderando os efeitos das variações de fluido e variações litológicas complexas sobre a relação porosidade/impedância, o método fornece uma ferramenta confiável para exploração sísmica. Detalhes mais precisos das propriedades petrofísicas podem ser obtidos através de métodos de inversão mais sofisticados, a partir de dados pre stack.