Vigilancia por análisis de ruido de los sensores de temperatura

En este proyecto se van a aplicar las técnicas de análisis de ruido para caracterizar la respuesta dinámica de varios sensores de temperatura, tanto termorresistencias de platino como de termopares. Estos sensores son imprescindibles para él correcto funcionamiento de las centrales nucleares y requieren vigilancia para garantizar la exactitud de las medidas. Las técnicas de análisis de ruido son técnicas pasivas, es decir, no afectan a la operación de la planta y permiten realizar una vigilancia in situ de los sensores. Para el caso de los sensores de temperatura, dado que se pueden asimilar a sistemas de primer orden, el parámetro fundamental a vigilar es el tiempo de respuesta. Éste puede obtenerse para cada una de las sondas por medio de técnicas en el dominio de la frecuencia (análisis espectral) o por medio de técnicas en el dominio del tiempo (modelos autorregresivos). Además de la estimación del tiempo de respuesta, se realizará una caracterización estadística de las sondas. El objetivo es conocer el comportamiento de los sensores y vigilarlos de manera que se puedan diagnosticar las averías aunque éstas estén en una etapa incipiente. ABSTRACT In this project we use noise analysis technique to study the dynamic response of RTDs (Resistant temperature detectors) and thermocouples. These sensors are essential for the proper functioning of nuclear power plants and therefore need to be monitored to guarantee accurate measurements. The noise analysis techniques do not affect plant operation and allow in situ monitoring of the sensors. Temperature sensors are equivalent to first order systems. In these systems the main parameter to monitor is the response time which can be obtained by means of techniques in the frequency domain (spectral analysis) as well as time domain (autoregressive models). Besides response time estimation the project will also include a statistical study of the probes. The goal is to understand the behavior of the sensors and monitor them in order to detect any anomalies or malfunctions even if they occur in an early stage.

Estudio y desarrollo de sensores de fibra óptica para detección de vibraciones en ductos ascendentes submarinos

En esta tesis doctoral se describe el trabajo de investigación enfocado al estudio y desarrollo de sensores de fibra óptica para la detección de presión, flujo y vibraciones en ductos ascendentes submarinos utilizados en la extracción y transporte de hidrocarburos, con el objetivo de aplicarlos en los campos de explotación de aguas profundas en el Golfo de México pertenecientes a la Industria Petrolera Mexicana. El trabajo se ha enfocado al estudio y desarrollo de sensores ópticos cuasi distribuidos y distribuidos. En especial se ha profundizado en el uso y aplicación de las redes de Bragg (FBG) y de reflectómetros ópticos en el dominio del tiempo sensible a la fase (φ-OTDR). Los sensores de fibra óptica son especialmente interesantes para estas aplicaciones por sus ventajosas características como su inmunidad a interferencias electromagnéticas, capacidad de multiplexado, fiabilidad para trabajar en ambientes hostiles, altas temperaturas, altas presiones, ambientes salino-corrosivos, etc. Además, la fibra óptica no solo es un medio sensor sino que puede usarse como medio de transmisión. Se ha realizado un estudio del estado del arte y las ventajas que presentan los sensores ópticos puntuales, cuasi-distribuidos y distribuidos con respecto a los sensores convencionales. Se han estudiado y descrito los interrogadores de redes de Bragg y se ha desarrollado un método de calibración útil para los interrogadores existentes en el mercado, consiguiendo incertidumbres en la medida de la longitud de onda menores de ± 88 nm e incertidumbres relativas (la mas interesante en el campo de los sensores) menores de ±3 pm. Centrándose en la aplicación de las redes de Bragg en la industria del petróleo, se ha realizado un estudio en detalle del comportamiento que presentan las FBGs en un amplio rango de temperaturas de -40 ºC a 500 oC. Como resultado de este estudio se han evaluado las diferencias en los coeficientes de temperatura en diversos tramos de mas mismas, así como para diferentes recubrimientos protectores. En especial se ha encontrado y evaluado las diferencias de los diferentes recubrimientos en el intervalo de temperaturas entre -40 ºC y 60 ºC. En el caso del intervalo de altas temperaturas, entre 100 ºC y 500 ºC, se ha medido y comprobado el cambio uniforme del coeficiente de temperatura en 1pm/ºC por cada 100 ºC de aumento de temperatura, en redes independientemente del fabricante de las mismas. Se ha aplicado las FBG a la medición de manera no intrusiva de la presión interna en una tubería y a la medición del caudal de un fluido en una tubería, por la medida de diferencia de presión entre dos puntos de la misma. Además se ha realizado un estudio de detección de vibraciones en tuberías con fluidos. Finalmente, se ha implementado un sistema de detección distribuida de vibraciones aplicable a la detección de intrusos en las proximidades de los ductos, mediante un φ-OTDR. En este sistema se ha estudiado el efecto negativo de la inestabilidad de modulación que limita la detección de vibraciones distribuidas, su sensibilidad y su alcance. ABSTRACT This thesis describes the research work focused for the study and development of on optical fiber sensors for detecting pressure, flow and vibration in subsea pipes used in the extraction and transportation of hydrocarbons, in order to apply them in deepwater fields in the Gulf of Mexico belonging to the Mexican oil industry. The work has focused on the study and development of optical sensors distributed and quasi distributed. Especially was done on the use and application of fiber Bragg grating (FBG) and optical reflectometers time domain phase sensitive (φ-OTDR). The optical fiber sensors especially are interesting for these applications for their advantageous characteristics such as immunity to electromagnetic interference, multiplexing capability, reliability to work in harsh environments, high temperatures, high pressures, corrosive saline environments, etc. Furthermore, the optical fiber is not only a sensor means it can be used as transmission medium. We have performed a study of the state of the art and the advantages offered by optical sensors point, quasi-distributed and distributed over conventional sensors. Have studied and described interrogators Bragg grating and has developed a calibration method for interrogators useful for the existing interrogators in the market, resulting uncertainty in the measurement of the wavelength of less than ± 0.17 nm and uncertainties (the more interesting in the field of sensors) less than ± 3 pm. Focusing on the application of the Bragg gratings in the oil industry, has been studied in detail the behavior of the FBGs in a wide range of temperatures from -40 °C to 500 oC. As a result of this study we have evaluated the difference in temperature coefficients over various sections of the same, as well as different protective coatings. In particular evaluated and found the differences coatings in the range of temperatures between -40 º C and 60 º C. For the high temperature range between 20 ° C and 500 ° C, has been measured and verified the uniform change of the temperature coefficient at 1pm / ° C for each 100 ° C increase in temperature, in networks regardless of manufacturer thereof. FBG is applied to the non-intrusive measurement of internal pressure in a pipeline and measuring flow of a fluid in a pipe, by measuring the pressure difference between two points thereof. Therefore, has also made a study of detecting vibrations in pipes with fluids. Finally, we have implemented a distributed sensing system vibration applied to intrusion detection in the vicinity of the pipelines, by φ-OTDR. In this system we have studied the negative effect of modulation instability limits the distributed vibration detection, sensitivity and scope.

Estudio teórico y simulación de un OTDR para sistemas de comunicaciones por fibra óptica

El reflectómetro óptico en el dominio del tiempo, conocido por sus siglas en inglés como OTDR, es un dispositivo muy utilizado en sistemas de comunicaciones por fibra óptica para conocer de una manera rápida y sencilla como varía la potencia óptica a lo largo de la fibra óptica, siendo otro de sus usos frecuentes la localización de fallos y roturas en un enlace. Este proyecto fin de carrera, consiste en la realización mediante Matlab de una interfaz gráfica que permite simular un OTDR para distintos tipos de fibras, conectores y empalmes visualizándose por pantalla la variación de la potencia óptica en función de la distancia, pudiendo ampliar cualquier tramo del enlace que se desee visualizar con mayor detalle. Los objetivos del proyecto podemos establecerlos en dos partes. Primero, realizar una interfaz que nos permita diseñar un enlace de fibra óptica de forma sencilla, permitiendo además medir desde la atenuación de la fibra a la de un empalme. En segundo lugar, emplear la interfaz desarrollada para comprobar conceptos teóricos, haciendo hincapié en los principales errores de un enlace de fibra óptica real. Para una mejor visualización y concepción de lo implementado, es necesario revisar los principios básicos de funcionamiento de la fibra óptica y las principales características de un enlace, así como, los distintos dispositivos que lo componen, para después explicar el funcionamiento del OTDR y sus usos; por ello, en los capítulos segundo y tercero, se explican estas nociones básicas, necesarias para un mejor entendimiento del proyecto. Para poder utilizar la interfaz gráfica de usuario, el capítulo cuarto muestra la descripción de las funciones con parámetros, así como el manual de usuario de la interfaz gráfica. En el capítulo quinto se hace una recopilación y estudios de resultados para distintas simulaciones comprobando desde casos sencillos a casos extremos en los que se debe prestar una especial atención a los elementos que componen el enlace, siendo finalmente, en el sexto capítulo donde se presentan distintas conclusiones así como posibles trabajos futuros, a partir de lo realizado. ABSTRACT. The optical time domain reflectometer, known as OTDR, is a widely used device in systems for fiber optic communications used to know quick and simply how the optical power its varying along the fiber, with particular emphasis to another of its frequent uses in troubleshooting on a link. This final project consists in carrying through a graphical interface in Matlab to simulate an OTDR for different types of fibers, connectors and splices, visualizing the variation of optical power as a function of the distance. It is possible to zoom in specific sections to view them with greater detail. The project objectives can be set in two parts: - Make an interface that allows us to design a fiber optic link easily and measuring from the fiber attenuation to a splice one. - Use the interface developed to test theoretical concepts, emphasizing the most important mistakes of a real optical fiber link. For better visualization and understanding of what it’s been implemented, it is necessary to review the basic operating principles of fiber optics and the main characteristics of a fiber link, and also the different types of devices that comprise it, and then explaining also how the OTDR works and its uses, therefore, in second and third chapters, explains these basics needed for a better understanding of the project. To use the GUI, the fourth chapter shows the description of the functions with parameters and the user manual of the GUI. The fifth chapter is a compilation and study of some simulation results for simple cases to check from simply to extreme cases putting special attention to the elements that make up the link. To sum up, in the sixth chapter will appear different conclusions and possible future works for improving the graphical interface or making a new one.

Experimental and numerical investigation of effect of sawn timber dimensions in ultrasonic velocity measurements of Spanish softwoods

Ultrasonic sound velocity measurements with hand-held equipment remain due to their simplicity among the most used methods for non-destructive grading of sawn woods, yet a dedicated normalization effort with respect to strength classes for Spanish species is still required. As part of an ongoing project with the aim of definition of standard testing methods, the effect of the dimensions of commonly tested Scots pine (Pinus sylvestris L.) timbers and equipment testing frequency on ultrasonic velocity were investigated. A dedicated full-wave finite-difference time-domain software allowed simulation of pulse propagation through timbers of representative length and section combinations. Sound velocity measurements vL were performed along the grain with the indirect method at 22 kHz and 45 kHz for grids of measurement points at specific distances. For sample sections larger than the cross-sectional wavelength ?RT, the simulated sound velocity vL converges to vL = (CL/?)0.5. For smaller square sections the sound velocity drops down to vL = (EL/?)0.5, where CL, EL and ? are the stiffness, E-modul and density, respectively. The experiments confirm a linear regression between time of flight and measurement distance even at less than two wavelength menor que2?L distance, the fitted sound speed values increased by 15% between the two tested frequencies.

Optical detection of mealiness in apples using laser TDRS.

Mealiness is a textural attribute related to an internal fruit disorder that involves quality loss. It is characterised by the combination of abnormal softness of the fruit and absence of free juiciness in the mouth when eaten by the consumer. Recent research concluded with the development of precise instrumental procedure to measure a scale of mealiness based on the combination of several rheological properties and empirical magnitudes. In this line, time-domain laser reflectance spectroscopy (TDRS) is a new medical technology, used to characterise the optical properties of tissues, and to locate affected areas like tumours. Among its advantages compared to more traditional spectroscopic techniques, there is the feasibility to asses simultaneously and independently two optical parameters: the absorption of the light inside the irradiated body, and the scattering of the photons across the tissues, at each wavelength, generating two coefficients (µa, absorption coeff.; and µ's, transport scattering coeff.). If it is assumed that they are related respectively to chemical components and to physical properties of the sample, TDRS can be applied to the quantification of chemicals and the measurement of the rheological properties (i.e. mealiness estimation) at the same time. Using VIS & NIR lasers as light sources, TDRS was applied in this work to Golden Delicious and Cox apples (n=90), conforming several batches of untreated samples and storage-treated (20°C & 95%RH) to promote the development of mealiness. The collected database was clustered into different groups according to their instrumental test values (Barreiro et al, 1998). The optical coefficients were used as explanatory variables when building discriminant analysis functions for mealiness, achieving a classification score above 80% of correctly identified mealy versus fresh apples.

Detección óptica de harinosidad en manzana mediante una nueva técnica láser.

Mealiness, a textural disorder that produces quality loss, combines softness and absence of juiciness. The only one (destructive) test to measure it, combines information from a mechanical test on fruit probes to classify the samples according to instrumental mealiness. Time-domain laser reflectance spectroscopy (TDRS) is able to assess simultaneously and independently the absorption of the light inside the irradiated body (µa coefficient) and the scattering of the photons across the tissues (µS, transport scattering coeff.) measured at each wavelength. Using VIS&NIR lasers as light sources, TDRS was applied to Golden Delicious and Cox apples (n=90), conforming batches of untreated samples and storage-treated (20°C&95%RH) to induce mealiness development. The collected database was clustered into different groups according to their instrumental mealiness. Optical variables were used to build discriminant functions, achieving classification scores 75-89% of correctly identified mealy apples.

Operational Modal Analysis using Expectation Maximization Algorithm

This paper presents a time-domain stochastic system identification method based on Maximum Likelihood Estimation and the Expectation Maximization algorithm. The effectiveness of this structural identification method is evaluated through numerical simulation in the context of the ASCE benchmark problem on structural health monitoring. Modal parameters (eigenfrequencies, damping ratios and mode shapes) of the benchmark structure have been estimated applying the proposed identification method to a set of 100 simulated cases. The numerical results show that the proposed method estimates all the modal parameters reasonably well in the presence of 30% measurement noise even. Finally, advantages and disadvantages of the method have been discussed.

Measurements and Prediction of Pedestrian Walking Loads on an Aluminium Catwalk

During the last two decades the topic of human induced vibration has attracted a lot of attention among civil engineering practitioners and academics alike. Usually this type of problem may be encountered in pedestrian footbridges or floors of paperless offices. Slender designs are becoming increasingly popular, and as a consequence, the importance of paying attention to vibration serviceability also increases. This paper resumes the results obtained from measurements taken at different points of an aluminium catwalk which is 6 m in length by 0.6 m in width. Measurements were carried out when subjecting the structure to different actions:1)Static test: a steel cylinder of 35 kg was placed in the middle of the catwalk; 2)Dynamic test: this test consists of exciting the structure with singles impulses; 3)Dynamic test: people walking on the catwalk. Identification of the mechanical properties of the structure is an achievement of the paper. Indirect methods were used to estimate properties including the support stiffness, the beam bending stiffness, the mass of the structure (using Rayleigh method and iterative matrix method), the natural frequency (using the time domain and frequency domain analysis) and the damping ratio (by calculating the logarithmic decrement). Experimental results and numerical predictions for the response of an aluminium catwalk subjected to walking loads have been compared. The damping of this light weight structure depends on the amplitude of vibration which complicates the tuning of a structural model. In the light of the results obtained it seems that the used walking load model is not appropriate as the predicted transient vibration values (TTVs) are much higher than the measured ones.

Characteristic study, its identification and self-tuned approach to control hydro-power plants

The water time constant and mechanical time constant greatly influences the power and speed oscillations of hydro-turbine-generator unit. This paper discusses the turbine power transients in response to different nature and changes in the gate position. The work presented here analyses the characteristics of hydraulic system with an emphasis on changes in the above time constants. The simulation study is based on mathematical first-, second-, third- and fourth-order transfer function models. The study is further extended to identify discrete time-domain models and their characteristic representation without noise and with noise content of 10 & 20 dB signal-to-noise ratio (SNR). The use of self-tuned control approach in minimising the speed deviation under plant parameter changes and disturbances is also discussed.

Numerical and experimental study of the parametric rolling of a fisihing vessel in regular head waves

The dynamic behaviour of a fishing vessel in waves is studied in order to reveal its parametric rolling characteristics. This paper presents experimental and numerical results in longitudinal regular waves. The experimental results are compared against the results of a time-domain non-linear strip theory model of ship motions in six degrees-of-freedom. These results contribute to the validation of the parametric rolling prediction method, so that it can be used as an assessment tool to evaluate both the susceptibility and severity of occurrence of parametric rolling at the early design stage of these types of vessels.

BioMet®Phon: A system to monitor phonation quality in the clinics

BioMet®Phon is a software application developed for the characterization of voice in voice quality evaluation. Initially it was conceived as plain research code to estimate the glottal source from voice and obtain the biomechanical parameters of the vocal folds from the spectral density of the estimate. This code grew to what is now the Glottex®Engine package (G®E). Further demands from users in laryngology and speech therapy fields instantiated the development of a specific Graphic User Interface (GUI’s) to encapsulate user interaction with the G®E. This gave place to BioMet®Phon, an application which extracts the glottal source from voice and offers a complete parameterization of this signal, including distortion, cepstral, spectral, biomechanical, time domain, contact and tremor parameters. The semantic capabilities of biomechanical parameters are discussed. Study cases from its application to the field of laryngology and speech therapy are given and discussed. Validation results in voice pathology detection are also presented. Applications to laryngology, speech therapy, and monitoring neurological deterioration in the elder are proposed.

Using the EM algorithm to estimate the state space model for OMAX

This paper presents a time-domain stochastic system identification method based on Maximum Likelihood Estimation and the Expectation Maximization algorithm that is applied to the estimation of modal parameters from system input and output data. The effectiveness of this structural identification method is evaluated through numerical simulation. Modal parameters (eigenfrequencies, damping ratios and mode shapes) of the simulated structure are estimated applying the proposed identification method to a set of 100 simulated cases. The numerical results show that the proposed method estimates the modal parameters with precision in the presence of 20% measurement noise even. Finally, advantages and disadvantages of the method have been discussed.

Dynamic earth pressures against a retaining wall caused by Rayleigh waves

An approximate procedure for studying harmonic soil-structure interaction problems is presented. The presence of Rayleigh waves is considered and the resulting governing equations of the dynamic soil-structure system are solved in the time domain. With this method the transient and steady states of a vibratory motion and also the nonlinear behaviour of the soil can be studied. As an example, the dynamic earth pressure against a rigid retaining wall is investigated. The loads are assumed to be harmonic Rayleigh waves with both static and dynamic surface surcharges. The dependence of the results on the excitation frequency is shown.

Aplicación de distintas metodologías a la monitorización de la humedad del suelo y al cálculo del balance hídrico diario

Dada la importancia de conocer la humedad del suelo de forma precisa y en tiempo real, se ha realizado este trabajo de investigación cuyo objetivo principal ha sido seleccionar un Balance Hídrico del Suelo (BHS) diario y validar sus estimaciones de humedad del suelo frente a medidas obtenidas “in situ”, aplicándolo a tres emplazamientos seleccionados en la zona centro con características edáficas y climáticas diferentes, y de este modo estimar con cierta precisión la humedad del suelo como Agua Disponible (AD) para las plantas y a su vez permitir la realización de estudios climáticos. Los observatorios meteorológicos seleccionados fueron: Guadalajara/El Serranillo en la zona aluvial del río Henares; Colmenar Viejo/Base Famet en la rampa sur del Guadarrama sobre rocas metamórficas; y Radiosondeo/Madrid(Barajas) en arenas arcósicas de grano grueso. Se realizó una caracterización morfológica y un estudio de las propiedades físicas, químicas e hidrofísicas de los suelos en cada emplazamiento. El suelo de Guadalajara, Xerorthent Típico presenta una secuencia genética de horizontes (Ap-AC-C1-C2) siendo su clase textural entre franco-arenosa a franca, con menos del 2% de elementos gruesos, presencia de caliza a lo largo de todo el perfil, destacando la homogeneidad en vertical y horizontal de sus propiedades. El suelo de Colmenar, Xerorthent Dystrico, presenta una secuencia genética de horizontes (A-C-C/R) apareciendo el horizonte C/R entre 20-30 cm; y la roca aproximadamente a unos 30 cm; destacando en este perfil su acidez y el alto contenido de elementos gruesos. El suelo de Radiosondeo, Haploxeralf Típico, presenta la secuencia normal de horizontes de los alfisoles (A-Bt1-Bt2-C/Bt); destacando su heterogeneidad principalmente en el plano horizontal, con presencia del Bt a diferentes profundidades en un corto espacio longitudinal. En una primera fase de experimentación (2007-2008) se seleccionaron BHS diarios que sólo utilizaban como datos de entrada la información de variables meteorológicas y el valor del Agua Disponible Total (ADT) para cada tipo de suelo y profundidad. Se probaron BHS diarios con agotamiento exponencial y directo de la reserva, utilizando la evapotranspiración de referencia de Penman-Monteith recomendada por FAO. Al mismo tiempo que se disponía de los datos estimados de humedad de suelo mediante diferentes BHS diarios en los tres emplazamientos, también se realizó una monitorización de la humedad del suelo “in situ” mediante el método gravimétrico, con adaptación de dicha metodología a la problemática de cada suelo, para determinar en cada fecha tanto la humedad del suelo como su contenido de AD para una profundidad de 0 a 30 cm. Se tomaron en cada fecha de muestreo 5 muestras para la profundidad 0- 10 cm, otras cinco para 10-20 cm y otras cinco para 20-30 cm, realizándose el correspondiente tratamiento estadístico de los datos. El ADT se calculó a partir de los datos de capacidad de campo y punto de marchitez obtenidos en laboratorio con membrana de Richards. Los resultados de esta primera fase permitieron conocer que el BHS exponencial diario era el que mejor estimaba el AD en Guadalajara considerando la capacidad de campo a una presión de 33 kPa, mientras que en Colmenar se debían considerar para un mejor ajuste, 10 kPa en lugar de 33 kPa. En el observatorio de Radiosondeo debido a que en cada fecha de muestreo la profundidad en la que aparecía el horizonte Bt era diferente, no se pudo demostrar si el BHS exponencial diario tenía un buen comportamiento. En una segunda fase de experimentación (2009-2012) y con el objeto de aminorar los problemas encontrados en Radiosondeo para la medida de humedad del suelo por el método gravimétrico, se procedió a la instalación y utilización de diferentes sensores de medida de humedad de suelo en el mismo observatorio: TDR (time domain reflectometry - TRIME T3 de IMKO); FDR capacitivo (frecuency domain reflectometry - ECH2O EC-20 de DECAGON) y otros. Esta segunda fase de experimentación tuvo una duración de 4 años y se compararon las medidas de humedad de suelo obtenidas a partir de los sensores con las estimadas del BHS exponencial hasta una profundidad de 0 a 85 cm. En laboratorio se realizaron calibraciones específicas de los sensores TDR y FDR para cada uno de los horizontes más diferenciados del Haploxeralf Típico, utilizando diferentes tipos de regresión. Los valores de humedad de suelo con el equipo TDR, corregidos mediante la calibración específica de laboratorio, fueron los que más se ajustaron a las medidas realizadas por método gravimétrico “in situ”, por lo que se utilizó el TDR para las comparaciones con los valores obtenidos del BHS exponencial diario durante los cuatro años de esta segunda fase experimental. Se realizaron diferentes estimaciones del ADT, partiendo de datos de laboratorio y/o de datos procedentes de humedad de los sensores en campo. Los resultados mostraron de nuevo la conveniencia de utilizar el BHS exponencial diario, pero en este caso, con la estimación del ADT realizada a partir de las gráficas de los sensores. Mediante la utilización de los datos de humedad del BHS exponencial diario se han realizado comparaciones con el mismo tipo de balance pero utilizando un periodo semanal o mensual en lugar de diario, para conocer las diferencias. Los valores obtenidos con periodicidad mensual han dado valores de AD inferiores a los balances calculados semanalmente o diariamente. Por último se ha comprobado que los resultados de un BHS exponencial diario pueden complementar la información que se obtiene del Índice de Precipitación Estandarizado (SPI) y pueden mejorar el estudio de la sequía agrícola. ABSTRACT Due to the importance of a better knowledge of soil water at real time and in a more precisely way, this research work has being carried out with the main objective of selecting a daily Soil Water Balance (SWB) to estimate soil water content, and validate it in comparison to “in situ” measurements. Three locations, differing in soil and climate characteristics, were selected in central Spain in order to estimate with certain acuity soil water as plant-Available Water (AW) and to serve as a tool for the climatic studies. The selected places near meteorology stations were: Guadalajara/El Serranillo an alluvium of the Henares watershed; Colmenar Viejo/Base Famet, in the south raised area of the Guadarrama river basin, over metamorphic rocks; and Radiosondeo/Madrid (Barajas) in coarse arkosic sandstone. Morphology characterization, physical, chemical and hydrologic soil properties were studied in each area. In Guadalajara the soil is a Typic Xerorthent with a (Ap-AC-C1- C2) genetic horizon sequence, loam-sandy to loam textural class, less than 2% of rock fragments, presence of equivalent CaCO3 through the whole profile, outstanding the vertical and horizontal homogeneity of the properties. In Colmenar the soil is represented by a Dystric Xerorthent with a (A-C-C/R) genetic horizon sequence, the C/R is 20-30 cm deep where rock outcrops are approximately at 30 cm; a characteristic feature of this profile is its high acidity and high rock fragments content. In Radiosondeo the soil is represented by a Typic Haploxeralf, with the usual alfisol genetic horizon sequence (A-Bt1-Bt2-C/Bt); outstanding its horizontal heterogeneity, “the variability of the Bt (clay enriched horizon) depth in short distances”. In a first experimental stage (2007-2008), the daily SWB chosen was that which only uses as input data the information from the meteorology variables and plant-Total Available Water (TAW) for each soil type and depth. Different daily SWB (with exponential or direct plant-Available Water depletion) were applied, using the Penman- Monteith reference evapotranspiration (ETo) recommended by FAO. At the same time as soil water content was estimated from the different daily SWB at the three locations, also soil water content was being monitored by “in situ” gravimetric methodology, adapting it to each soil characteristic, to determine every time soil water content and AW to a depth of 0 to 30 cm. In each sampling date, 5 samples for each depth were taken: 0-10 cm; 10-20 cm and 20-30 cm and the data were submitted to the corresponding statistical analysis. The TAW was calculated based on field capacity (FC) and permanent wilting point (PWP) data obtained from laboratory by the Richards pressure plate. Results from this first experimental stage show that the daily exponential SWB was the one which better estimated the AW in Guadalajara considering field capacity at -33 kPa, though in Colmenar, field capacity at -10 kPa must be considered instead of -33 kPa for a better estimation. In Radiosondeo due to the fact that the Bt horizon depth varied in different sampling dates, it could not be established if the daily exponential SWB had a good performance. In a second experimental stage (20019-2012) and with the objective of minimizing the problems encountered in Radiosondeo for measuring “in situ” soil water content by the gravimetric method, the installation of different sensors for measuring soil water content were established and used in the same field location: TDR (time domain reflectometry - TRIME T3 from IMKO), capacitance FDR (frecuency domain reflectometry - ECH2O EC-20 from DECAGON) and others. This second experimental stage lasted 4 years in order to compare the soil water measures from the sensors with the estimations by the exponential SWB form 0 to 85 cm soil depths. At laboratory, specific calibrations for TDR and FDR sensors of the Typic Haploxeralf more differentiated horizons were done using different types of regressions. The results showed that soil water data obtained by the TDR equipment, corrected by the specific laboratory calibration, best fitted to “in situ” gravimetric soil water measures. In this way TDR was used for comparing to the daily exponential SWB during the four years of this second experimentation stage. Various estimations for obtaining TAW were tested; based on laboratory data – and/or on the data obtained of the soil water content field sensors. Results confirmed again, the convenience of using the daily exponential SWB, though in this case, with the TAW obtained from the field sensors graphics. Soil water estimated by exponential SWB on daily basis was compared to weekly and monthly periods, in order to know their reliability. The results obtained for a monthly period gave less AW than the ones obtained in a weekly or daily period. Finally it has been proved that the results obtained from the exponential SWB in a daily bases can be used as a useful tool in order to give complementary information to the SPI (Precipitation Standardized Index) and to help in agricultural drought studies.

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