Evaluación de un forward modelling de ondas sísmicas : aplicación práctica del efecto source ghost

Se ha utilizado un programa de modelización de ondas sísmicas por métodos finitos en dos dimensiones para analizar el efecto Source Ghost en profundidades de 4, 14, 24 y 34 metros. Este efecto se produce cuando se dispara una fuente enterrada y, debido al contacto suelo-aire, se genera una onda reflejada que, en cierto momento, se superpone con la onda principal, produciéndose una disminución de la amplitud de la onda (Source Ghost). Los resultados teóricos del efecto se han comparado con los resultados prácticos del programa de modelización concluyéndose que es posible determinar el rango de frecuencias afectado por el efecto. Sin embargo, la distancia entre receptor y fuente es una nueva variable que desplaza el efecto hacia frecuencias más altas impidiendo su predicción. La utilización de una técnica de procesamiento básica como la corrección del Normal Move-Out (NMO) en el apilado de las trazas, contrarresta la variable distancia receptor-fuente, y por tanto es posible calcular el rango de frecuencias del efecto Source Ghost. Abstract A seismic wave forward modeling in two dimensions using finite-difference method has been used for analyzing the Source Ghost effect at depths between 4-34 meters. A shot from a buried source generates a down going reflection due to the free surface boundary and, at some point, it interferes with the main wave propagation causing a reduction of wave amplitude at some frequency range (Source Ghost). Theoretical results and experimental results provided by the forward modeling are compared for concluding that the forward modeling is able to identify the frequency range affected by the source ghost. Nevertheless, it has been found that the receiver-source distance (offset) is a new variable that modifies the frequency range to make it unpredictable. A basic seismic processing technique, Normal Move-Out (NMO) correction, has been used for a single twenty fold CMP gather. The final stack shows that the processing technique neutralize the offset effect and therefore the forward modeling is still capable to determine the affected frequency range by the source ghost regardless the distance between receiver and source.

The use of non-reflecting boundary conditions in soil dynamics

In this paper some aspects of the use of non-reflecting boundaries in dynamic problems, analyzed in time domain, are considered. Current trends for treating the above mentioned problems are summarized with a particular emphasis on the use of numerical techniques, such as Boundary Element Method (BEM) or mixed and hybrid formulations, Finite Element Method (FEM) plus BEM. As an alternative to these methods, an easy time domain boundary condition, obtained from the well known consistent transmitting boundary developed by Waas for frequency domain analysis, can be applied to represent the reactions of the unbounded soil on the interest zone. The behaviour of this proposed boundary condition is studied when waves of different frequency to the one used for its obtention are acting on the physical edge of the model. As an application example,an analysis is made of the soil-structure interaction of a rigid strip foundation on a horizontal non-linear elastic layer on bed rock. The results obtained suggest the need of time domain solutions for this type of problem

Respuesta estática y sísmica de gasoductos

El objetivo de esta tesis es el estudio de la respuesta estructural de los gasoductos sometidas a solicitaciones estáticas y dinámicas, enfocando prioritariamente en la respuesta sísmica. Los gasoductos, como las tuberías en general, se utilizan principalmente para la transportación de fluidos, como agua, gas o petróleo, de ahí la importancia de que el diseño y la estructura se realicen adecuadamente. La tubería debe ser capaz de soportar tanto los efectos de cargas estáticas como las debidas al peso propio o de la presión de la tierra, así como los diferentes tipos de cargas dinámicas ocurridas durante un evento sísmico, como los debidos a las ondas o el desplazamiento de fallas. En la primera parte de la tesis se describen aspectos generales de la tubería y su uso, y se da una breve historia de uso en la industria y las redes de abastecimiento urbano. Aparte de otros aspectos, se discuten las ventajas y desventajas de los diferentes materiales de las tuberías. En la segunda parte de la tesis se desarrollan las ecuaciones de equilibrio de una sección transversal de la tubería bajo cargas estáticas, tales como la presión interna, peso propio, presión de la tierra y las cargas externas. Un número de diferentes combinaciones de carga es analizado por medio de programas codificados como Matlab, los cuales se han desarrollado específicamente para este propósito. Los resultados se comparan con los obtenidos en Ansys utilizando un código de elementos finitos. En la tercera parte se presenta la respuesta dinámica de las tuberías, que abarca los efectos de las ondas y los desplazamientos de fallas. Se presentan las características relevantes del suelo como las velocidades de ondas, así como los métodos para estimar el desplazamiento máximo de las fallas. Un estudio paramétrico se emplea para ilustrar la influencia de estos parámetros en la respuesta estructural de la tubería. Con este fin se han utilizado dos métodos, el Pseudoestático y el Simplificado. En la última parte de la tesis son desarrollados los modelos de elementos finitos que permiten simular adecuadamente el comportamiento no lineal del suelo y la tubería. Los resultados se comparan con los obtenidos por un método simplificado utilizado con frecuencia que fue propuesto por Kennedy en 1977. Estudios paramétricos se presentan con el fin de examinar la validez de las hipótesis del método de Kennedy. La tesis concluye con recomendaciones que indican en qué casos los resultados obtenidos por el método de Kennedy son conservadores y cuando es preferible utilizar modelos de elementos finitos para estimar la respuesta de las tuberías durante los terremotos. ABSTRACT The subject of this thesis is the study of the structural response of pipelines subjected to static and dynamic loads with special attention to seismic design loads. Pipelines, as pipes in general, are used primarily for the transportation of fluids like water, gas or oil, hence the importance of an adequate design and structural behaviour. The pipe must be able to withstand both the effects of static loads like those due to self-weight or earth pressure as well as the different types of dynamic loads during a seismic event like those due to wave passing or fault displacements. In the first part of the thesis general aspects of pipelines and their use are described and a brief history of their usage in industry and for urban supply networks is given. Apart from other aspects, the advantages and disadvantages of different pipe materials are discussed. In the second part of the thesis the equilibrium equations of a transverse section of the pipe under static loads such as internal pressure, self-weight, earth pressure and external loads are developed. A number of different load combinations is analysed by means of programs coded in Matlab that have been specifically developed for this purpose. The results are compared to those obtained with the commercial Finite Element code Ansys. In the third part the dynamic response of pipelines during earthquakes is presented, covering the effects of passing waves and fault displacements. Relevant soil characteristics like wave propagation velocities as well as methods to estimate the maximum fault displacements are presented. A parametric study is employed to illustrate the influences of these parameters on the structural response of the pipe. To this end two methods have been used, the Pseudostatic and the Simplified method. In the last part of the thesis Finite Element models are developed which allow to adequately simulate the nonlinear behaviour of the soil and the pipe. The results are compared to those obtained by a frequently used simplified method which was proposed by Kennedy in 1977. Parametric studies are presented in order to examine the validity of the hypotheses Kennedys’ method is based on. The thesis concludes with recommendations indicating in which cases the results obtained by Kennedy’s method are conservative and when it is preferable to use Finite Element models to estimate the response of pipelines during earthquakes.

Modelado de la propagación acústica submarina para comunicaciones PtP

El objetivo principal del proyecto es el desarrollo de un simulador de comunicaciones submarinas, que permite la caracterización del canal a través de datos reales que son usados para establecer la comunicación entre dos puntos, empleando diferentes técnicas de modulación. Dicho simulador, ofrece un interfaz gráfico sencillo de usar y ha sido desarrollado en MatLab, basado en Bellhop [14] y Simulink. Dicho simulador desarrollado se ha usado para realizar simulaciones en diferentes escenarios, con datos reales del océano extraídos de la base de datos WOD [2]. Se ha divido el proyecto en seis partes: INTRODUCCIÓN, MARCO TEÓRICO, IMPLEMENTACIÓN, CONCLUSIONES, MANUAL y PROPUESTA DE PRÁCTICA. Se describen a continuación: En la primera parte, se realiza una introducción al proyecto, indicando las motivaciones que llevaron a desarrollarlo, una breve introducción, los objetivos fijados y un análisis de la evolución histórica de las comunicaciones submarinas, hasta llegar al estado del arte existente. En la segunda parte se describen los fundamentos teóricos necesarios para el desarrollo del proyecto, por una parte lo relativo a las ondas acústicas y su propagación, y por otra lo relativo a las técnicas de modulación digital empleadas. En la tercera parte se describe la implementación del simulador, explicando las funcionalidades existentes y un resumen de cómo fue desarrollado y su arquitectura lo que facilita su uso para proyectos futuros. La cuarta parte analiza las simulaciones realizadas en diversos escenarios, empleando datos reales y datos artificiales para la temperatura y salinidad del agua. En la quinta parte se proporciona un manual de usuario del simulador desarrollado, para que pueda ser usado correctamente. Se describe también el procesado de extracción de datos de WOD para que sean compatibles. Por último, en propuesta didáctica se propone un guión de práctica para desarrollar en la asignatura P.A.S. ABSTRACT. The main goal of this project is the development of an underwater communication simulator, that allows the determination of the underwater channel through real data, using different modulation techniques. The simulator, offers a graphic interface, easy to use and developed in MatLab, based on Bellhop [14] and Simulink. The simulator was given the name of UWACOMSIM and it was used to simulate different scenarios, using data from the WOD [2]. The project is divided into six parts: INTRODUCTION, THEORETICAL FRAMEWORK, IMPLEMENTATION, CONCLUSIONS, MANUAL and DIDACTAL PROPOSAL. These parts are described bellow: In the first part an introduction is given, remarking the motivations that lead to develop the project. Also objectives are explained, a historical analysis of the underwater communications is given, and finish with the state of the art. Secondly, theoretical part is described. First, everything related with acoustics and wave propagation throgh water, secondly, digital modulation techniques are explained. In the third part, the simulation implementation is explained. Main functionalities are highlighted and a brief overview of the architecture is given. This part can be useful for related works. Simulations and conclusions about the results, are done in the fourth part. In this section, different significant scenarios are chosen, and many simulations are launched in order to analyse the data. In the fifth parth, a user manual is provided in order to show the user how to use the simulator and how to download data from WOD if needed. In the final part of the project, a laboratory session is proposed for the subject P.A.S.

A canonical UTD solution for electromagnetic scattering by an electrically large impedance circular cylinder illuminated by an obliquely incident plane wave

A uniform geometrical theory of diffraction (UTD) solution is developed for the canonical problem of the electromagnetic (EM) scattering by an electrically large circular cylinder with a uniform impedance boundary condition (IBC), when it is illuminated by an obliquely incident high frequency plane wave. A solution to this canonical problem is first constructed in terms of an exact formulation involving a radially propagating eigenfunction expansion. The latter is converted into a circumferentially propagating eigenfunction expansion suited for large cylinders, via the Watson transform, which is expressed as an integral that is subsequently evaluated asymptotically, for high frequencies, in a uniform manner. The resulting solution is then expressed in the desired UTD ray form. This solution is uniform in the sense that it has the important property that it remains continuous across the transition region on either side of the surface shadow boundary. Outside the shadow boundary transition region it recovers the purely ray optical incident and reflected ray fields on the deep lit side of the shadow boundary and to the modal surface diffracted ray fields on the deep shadow side. The scattered field is seen to have a cross-polarized component due to the coupling between the TEz and TMz waves (where z is the cylinder axis) resulting from the IBC. Such cross-polarization vanishes for normal incidence on the cylinder, and also in the deep lit region for oblique incidence where it properly reduces to the geometrical optics (GO) or ray optical solution. This UTD solution is shown to be very accurate by a numerical comparison with an exact reference solution.

A new UTD for the electromagnetic plane wave scattering by a canonical circular cylinder with an impedance boundary condition

A UTD solution is developed for describing the scattering by a circular cylinder with an impedance boundary condition (IBC), when it is illuminated by an obliquely incident electromagnetic (EM) plane wave. The solution to this canonical problem will be crucial for the construction of a more general UTD solution valid for an arbitrary smooth convex surface with an IBC, when it is illuminated by an arbitrary EM ray optical field. The canonical solution is uniformly valid across the surface shadow boundary that is tangent to the surface at grazing incidence. This canonical solution contains cross polarized terms in the scattered fields, which arise from a coupling of the TEz and TMz waves at the impedance boundary on the cylinder. Here, z is the cylinder axis. Numerical results show very good accuracy for the simpler and efficient UTD solution, when compared to exact but very slowly convergent eigenfunction solution.

Surface impedance for electromagnetic fields over a dielectric-coated circular cylinder

For small or medium size conformal array antennas in terms of the wave length, modal solutions in spectral domain for mutual coupling analysis are convenient for canonical shapes such as circular cylinder [1] or sphere [2], but as the antenna dimensions increase a large number of terms are necessary. For large structures the uniform theory of diffraction (UTD) is commonly used to solve this problem for canonical and arbitrarily convex shaped perfect electric conductor (PEC) surfaces [3]. A UTD solution for mutual coupling on an impedance cylinder has been introduced in [4], [5] but using a constant surface impedance.

Estudio de la variación del contenido de humedad en el Pinus pinaster Ait. por medio de la técnica no destructiva del georradar / Assessment of the variation of the moisture content in the Pinus pinaster Ait using the non destructive gpr technique

La variación en el contenido de humedad (CH) tiene una influencia significativa tanto en las propiedades físico- químicas de la madera, como en sus propiedades electromagnéticas y por tanto afecta a las características de la propagación de las ondas. En concreto, en este trabajo se estudia la capacidad del georradar (GR) empleando una antena de 1.6GHz de frecuencia central para registrar las variaciones que se producen en la velocidad y en la amplitud de las ondas electromagnéticas cuando se propagan en unas viguetas de madera de Pinus pinaster Ait de uso estructural cuyo CH va disminuyendo. Se ha comprobado como cuando el CH descendía la velocidad de propagación y las amplitudes, tanto de la onda directa como de la reflejada aumentaba. Los altos factores de correlación encontrados demuestran que el GR es una técnica capaz de evaluar, de forma no destructiva, el CH de la madera de uso estructural. The moisture content variations in wood have a significant influence in wood?s physicochemical properties, as well as in its electromagnetic properties and to specific effects upon waves? characteristics. In particular, this paper focuses on the analysis of the Ground-penetrating Radar?s (GPR) using an antenna of 1.6 GHz central frequency capacity to register the velocity and the amplitude of the electromagnetic waves? variation during the drying process of Pinus pinaster Ait timber joists. The results showed that when timber MC descended, the propagation velocity and amplitude of both the direct and the reflected wave increased. The high correlation found between the variables studied demonstrates GPR efficiency and the innovative application of this technique as a non-destructive evaluation tool for timber structures, particularly when studying its moisture content.

An Efficient Hybrid GO-PWS Algorithm to Analyze Conformal Serrated-Edge Reflectors for Millimeter-Wave Compact Range

A method to analyze parabolic reflectors with arbitrary piecewise rim is presented in this communication. This kind of reflectors, when operating as collimators in compact range facilities, needs to be large in terms of wavelength. Their analysis is very inefficient, when it is carried out with fullwave/MoM techniques, and it is not very appropriate for designing with PO techniques. Also, fast GO formulations do not offer enough accuracy to reach performance results. The proposed algorithm is based on a GO-PWS hybrid scheme, using analytical as well as non-analytical formulations. On one side, an analytical treatment of the polygonal rim reflectors is carried out. On the other side, non-analytical calculi are based on efficient operations, such as M2 order 2-dimensional FFT. A combination of these two techniques in the algorithm ensures real ad-hoc design capabilities, reached through analysis speedup. The purpose of the algorithm is to obtain an optimal conformal serrated-edge reflector design through the analysis of the field quality within the quiet zone that it is able to generate in its forward half space.

A Precharge-Absorbed DPL Logic for Reducing Early Propagation Effects on FPGA Implementations

In this paper, a new countermeasure against power and electromagnetic (EM) Side Channel Attacks (SCA) on FPGA implemented cryptographic algorithms is proposed. This structure mainly focuses on a critical vulnerability, Early Evaluation, also known as Early Propagation Effect (EPE), which exists in most conventional SCA-hardened DPL (Dual-rail with Precharge Logic) solutions. The main merit of this proposal is that the EPE can be effectively prevented by using a synchronized non regular precharge network, which maintains identical routing between the original and mirror parts, where costs and design complexity compared with previous EPE-resistant countermeasures are reduced, while security level is not sacrificed. Another advantage for our Precharge Absorbed(PA) - DPL method is that its Dual-Core style (independent architecture for true and false parts) could be generated using partial reconfiguration. This helps to get a dynamic security protection with better energy planning. That means system only keeps the true part which fulfills the normal en/decryption task in low security level, and reconfigures the false parts once high security level is required. A relatively limited clock speed is a compromise, since signal propagation is restricted to a portion of the clock period. In this paper, we explain the principles of PA-DPL and provide the guidelines to design this structure. We experimentally validate our methods in a minimized AES co-processor on Xilinx Virtex-5 board using electromagnetic (EM) attacks.

Performance Comparison Between Serrated Edge and Rolled Edge Reflectors Inside CATR Facilities

CATR facilities are attractive antenna measurement facilities. Main reasons which contribute to this fact lie on its inherent reduced volume, on-the-fly measurements and the extension of both to a wide range of frequencies. However, these features rely on the assumption that the field collimation scheme is able to generate a plane wave distribution (quiet zone) where the AUT is to be placed and operated in RX mode. Unfortunately, electromagnetic theory states that this field distribution is not possible to be generated by a finite size scatterer operated as the collimator of a nonzero wavelength time-harmonic propagating field. This is the background of this paper, where two well-known electromagnetic field collimators will be discussed: the serrated edge reflector and the blended rolled edge reflector. To reach this purpose, electromagnetic hybrid analysis techniques developed at Technical University of Madrid will be applied.

Electromagnetic analysis of periodic structures under a waveguide viewpoint

The fundamental objective of this Ph. D. dissertation is to demonstrate that, under particular circumstances which cover most of the structures with practical interest, periodic structures can be understood and analyzed by means of closed waveguide theories and techniques. To that aim, in the first place a transversely periodic cylindrical structure is considered and the wave equation, under a combination of perfectly conducting and periodic boundary conditions, is studied. This theoretical study runs parallel to the classic analysis of perfectly conducting closed waveguides. Under the light shed by the aforementioned study it is clear that, under certain very common periodicity conditions, transversely periodic cylindrical structures share a lot of properties with closed waveguides. Particularly, they can be characterized by a complete set of TEM, TE and TM modes. As a result, this Ph. D. dissertation introduces the transversely periodic waveguide concept. Once the analogies between the modes of a transversely periodic waveguide and the ones of a closed waveguide have been established, a generalization of a well-known closed waveguide characterization method, the generalized Transverse Resonance Technique, is developed for the obtention of transversely periodic modes. At this point, all the necessary elements for the consideration of discontinuities between two different transversely periodic waveguides are at our disposal. The analysis of this type of discontinuities will be carried out by means of another well known closed waveguide method, the Mode Matching technique. This Ph. D. dissertation contains a sufficient number of examples, including the analysis of a wire-medium slab, a cross-shaped patches periodic surface and a parallel plate waveguide with a textured surface, that demonstrate that the Transverse Resonance Technique - Mode Matching hybrid is highly precise, efficient and versatile. Thus, the initial statement: ”periodic structures can be understood and analyzed by means of closed waveguide theories and techniques”, will be corroborated. Finally, this Ph. D. dissertation contains an adaptation of the aforementioned generalized Transverse Resonance Technique by means of which the analysis of laterally open periodic waveguides, such as the well known Substrate Integrated Waveguides, can be carried out without any approximation. The analysis of this type of structures has suscitated a lot of interest in the recent past and the previous analysis techniques proposed always resorted to some kind of fictitious wall to close the structure. vii Resumen El principal objetivo de esta tesis doctoral es demostrar que, bajo ciertas circunstancias que se cumplen para la gran mayoría de estructuras con interés práctico, las estructuras periódicas se pueden analizar y entender con conceptos y técnicas propias de las guías de onda cerradas. Para ello, en un primer lugar se considera una estructura cilíndrical transversalmente periódica y se estudia la ecuación de onda bajo una combinación de condiciones de contorno periódicas y de conductor perfecto. Este estudio teórico y de caracter general, sigue el análisis clásico de las guías de onda cerradas por conductor eléctrico perfecto. A la luz de los resultados queda claro que, bajo ciertas condiciones de periodicidad (muy comunes en la práctica) las estructuras cilíndricas transversalmente periódicas guardan multitud de analogías con las guías de onda cerradas. En particular, pueden ser descritas mediante un conjunto completo de modos TEM, TE y TM. Por ello, ésta tesis introduce el concepto de guía de onda transversalmente periódica. Una vez establecidas las similitudes entre las soluciones de la ecuación de onda, bajo una combinación de condiciones de contorno periódicas y de conductor perfecto, y los modos de guías de onda cerradas, se lleva a cabo, con éxito, la adaptación de un conocido método de caracterización de guías de onda cerradas, la técnica de la Resonancia Transversal Generalizada, para la obtención de los modos de guías transversalmente periódicas. En este punto, se tienen todos los elementos necesarios para considerar discontinuidades entre guías de onda transversalmente periódicas. El analisis de este tipo de discontinuidades se llevará a cabo mediante otro conocido método de análisis de estructuras cerradas, el Ajuste Modal. Esta tesis muestra multitud de ejemplos, como por ejemplo el análisis de un wire-medium slab, una superficie de parches con forma de cruz o una guía de placas paralelas donde una de dichas placas tiene cierta textura, en los que se demuestra que el método híbrido formado por la Resonancia Transversal Generalizada y el Ajuste Modal, es tremendamente preciso, eficiente y versátil y confirmará la validez de el enunciado inicial: ”las estructuras periódicas se pueden analizar y entender con conceptos y técnicas propias de las guías de onda cerradas” Para terminar, esta tésis doctoral incluye también una modificación de la técnica de la Resonancia Transversal Generalizada mediante la cual es posible abordar el análisis de estructuras periódica abiertas en los laterales, como por ejemplo las famosas guías de onda integradas en sustrato, sin ninguna aproximación. El análisis de este tipo de estructuras ha despertado mucho interés en los últimos años y las técnicas de análisis propuestas hasta ix el momento acostumbran a recurrir a algún tipo de pared ficticia para simular el carácter abierto de la estructura.

Influence of Crystal Quality on the Excitation and Propagation of Surface and Bulk Acoustic Waves in Polycrystalline AlN Films

We investigate the excitation and propagation of acoustic waves in polycrystalline aluminum nitride films along the directions parallel and normal to the c-axis. Longitudinal and transverse propagations are assessed through the frequency response of surface acoustic wave and bulk acoustic wave devices fabricated on films of different crystal qualities. The crystalline properties significantly affect the electromechanical coupling factors and acoustic properties of the piezoelectric layers. The presence of misoriented grains produces an overall decrease of the piezoelectric activity, degrading more severely the excitation and propagation of waves traveling transversally to the c-axis. It is suggested that the presence of such crystalline defects in c-axis-oriented films reduces the mechanical coherence between grains and hinders the transverse deformation of the film when the electric field is applied parallel to the surface.

Hard transition to chaotic dynamics in Alfven wave fronts

The derivative nonlinear Schrodinger DNLS equation, describing propagation of circularly polarized Alfven waves of finite amplitude in a cold plasma, is truncated to explore the coherent, weakly nonlinear, cubic coupling of three waves near resonance, one wave being linearly unstable and the other waves damped. In a reduced three-wave model equal dampings of daughter waves, three-dimensional flow for two wave amplitudes and one relative phase, no matter how small the growth rate of the unstable wave there exists a parametric domain with the flow exhibiting chaotic relaxation oscillations that are absent for zero growth rate. This hard transition in phase-space behavior occurs for left-hand LH polarized waves, paralleling the known fact that only LH time-harmonic solutions of the DNLS equation are modulationally unstable, with damping less than about unstable wave frequency 2/4 x ion cyclotron frequency. The structural stability of the transition was explored by going into a fully 3-wave model different dampings of daughter waves,four-dimensional flow; both models differ in significant phase-space features but keep common features essential for the transition.

Reduced three-wave model to study the hard transition to chaotic dynamics in Alfven wave-fronts

The derivative nonlinear Schrödinger (DNLS) equation, describing propagation of circularly polarized Alfven waves of finite amplitude in a cold plasma, is truncated to explore the coherent, weakly nonlinear, cubic coupling of three waves near resonance, one wave being linearly unstable and the other waves damped. In a reduced three-wave model (equal damping of daughter waves, three-dimensional flow for two wave amplitudes and one relative phase), no matter how small the growth rate of the unstable wave there exists a parametric domain with the flow exhibiting chaotic dynamics that is absent for zero growth-rate. This hard transition in phase-space behavior occurs for left-hand (LH) polarized waves, paralelling the known fact that only LH time-harmonic solutions of the DNLS equation are modulationally unstable.