A nonlinear analysis of laying a floating pipeline on the seabed

In this article, a model for the determination of displacements, strains, and stresses of a submarine pipeline during its construction is presented. Typically, polyethylene outfall pipelines are the ones treated by this model. The process is carried out from an initial floating situation to the final laying position on the seabed. The following control variables are considered in the laying process: the axial load in the pipe, the flooded inner length, and the distance of the control barge from the coast. External loads such as self-weight, dead loads, and forces due to currents and small waves are also taken into account.This paper describes both the conceptual framework for the proposed model and its practical application in a real engineering situation. The authors also consider how the model might be used as a tool to study how sensitive the behavior of the pipeline is to small changes in the values of the control variables. A detailed description of the actions is considered, especially the ones related to the marine environment such as buoyancy, current, and sea waves. The structural behavior of the pipeline is simulated in the framework of a geometrically nonlinear dynamic analysis. The pipeline is assumed to be a two-dimensional Navier_Bernoulli beam. In the nonlinear analysis an updated Lagrangian formulation is used, and special care is taken regarding the numerical aspects of sea bed contact, follower forces due to external water pressures, and dynamic actions. The paper concludes by describing the implementation of the proposed techniques, using the ANSYS computer program with a number of subroutines developed by the authors. This implementation permits simulation of the two-dimensional structural pipe behavior of the whole construction process. A sensitivity analysis of the bending moments, axial forces, and stresses for different values of the control variables is carried out. Using the techniques described, the engineer may optimize the construction steps in the pipe laying process

Caracterización multivariada de los temporales para su aplicación en el dimensionamiento del manto principal

En esta tesis se presenta una metodología para la caracterización del oleaje, dentro del marco de las nuevas Recomendaciones para Obras Marítimas (ROM 0.0.-00 y ROM 1.0-09), por ser una de las principales acciones que afectan a la estabilidad de las estructuras marítimas. Debido al carácter aleatorio intrínsecamente multivariado de la acción considerada, las tormentas, su caracterización paramétrica se realiza en términos de funciones cópula uniparamétricas. Las variables consideradas son altura de ola significante del pico de la tormenta, el periodo medio asociado y la magnitud, o número de olas, de todo el ciclo de solicitación. Para establecer un patrón teórico de evolución de la tormenta que permita extrapolar las muestras fuera de la región con datos se analizan los modelos teóricos existentes, comprobándose que no reproducen adecuadamente las tormentas constituidas por estados de mar con un peso importante de oleaje swell. Para evitar esta limitación se proponen cuatro modelos teóricos de evolución de tormentas con distintas formas geométricas. El análisis de los modelos existentes y los propuestos pone de relieve que el Modelo Magnitud Equivalente de Tormenta (EMS= Equivalent Magnitude Storm) con la forma triangular es el que mejor adapta las tormentas constituidas por estados de mar típicos del viento. Para tormentas con un mayor grado de desarrollo, el modelo teórico de tormenta EMS con la forma trapezoidal es el adecuado. De las aproximaciones propuestas para establecer el periodo medio de los sucesivos estados de mar del ciclo de solicitación. la propuesta por Martín Soldevilla et al., (2009) es la más versátil y , en general , mejor reproduce la evolución de todo tipo de tormentas. La caracterización de las tormentas se complementa con la altura de ola máxima. Debido a la mayor disponibilidad y longitud temporal de los datos sintéticos frente a las registros, la práctica totalidad de los análisis de extremos se realizan con tormentas sintéticas en las que la distribución de olas individuales es desconocida. Para evitar esta limitación se utilizan modelos teóricos de distribución de olas acordes a las características de cada uno de los estados de mar que conforman la tormenta sintética. Para establecer dichas características se utiliza la curtosis y en función de su valor la altura de ola máxima se determina asumiendo una determinada distribución de olas. Para estados de mar lineales la distribución de olas individuales de Rayleigh es la considerada. Para condiciones no lineales de gran ancho de banda el modelo de distribución de olas propuesto por Dawson, (2004) es el utilizado y si es de banda estrecha las predicciones de (Boccotti, (1989), Boccotti et al., (2013)) se compara con las resultantes del modelo de Dawson. La caracterización de la evolución de las tormentas en términos multivariados es aplicada al estudio de la progresión del daño del manto principal de diques en talud, y al rebase de las olas. Ambos aspectos cubren el segundo objetivo de la tesis en el que se propone una nueva formulación para el dimensionamiento de mantos constituidos por bloques cúbicos de hormigón. Para el desarrollo de esta nueva formulación se han utilizado los resultados recogidos en los estudios de estabilidad del manto principal de diques talud realizados en modelo físico a escala reducida en el Centro de Estudios de Puertos y Costas (CEDEX) desde la década de los 80 empleando, en su mayoría, bloques paralelepípedos cúbicos de hormigón. Por este motivo y porque los últimos diques construidos en la costa Española utilizan este tipo de pieza, es por lo que la formulación planteada se centra en este tipo de pieza. Después de un primer análisis de las fórmulas de cálculo y de evolución existentes, se llega a la conclusión de que es necesario realizar un esfuerzo de investigación en este campo, así como ensayos en laboratorio y recogida de datos in-situ con base a desarrollar fórmulas de evolución de daño para mantos constituidos por piezas diferentes a la escollera, que tenga en cuenta las principales variables que condiciona su estabilidad. En esta parte de la tesis se propone un método de análisis de evolución de daño, que incluye el criterio de inicio de avería, adecuada para diques en talud constituidos por bloque cúbicos de hormigón y que considera la incidencia oblicua, el daño acumulado y el rebase. This thesis proposes a methodology to estimate sea waves, one of the main actions affecting the maritime structures stability, complying with (ROM 0.0.-00 & ROM 1.0-09.Due to the multivariate behavior of sea storms, the characterization of the structures of sea storms is done using copula function. The analyzed variables are the significant height wave, mean period and magnitude or number of waves during the storm history. The storm evolution in terms of the significant height wave and the mean period is also studied in other to analyze the progressive failure modes. The existing models of evolution are studied, verifying that these approximations do not adjust accurately for developed waves. To overcome this disadvantage, four evolution models are proposed, with some geometrical shapes associated to fit any development degree. The proposed Equivalent Magnitude Storm model, EMS, generally obtains the best results for any kind of storm (predominant sea, swell or both). The triangle is recommended for typical sea storms whereas the trapezoid shape is much more appropriate for more developed storm conditions.The Martín Soldevilla et al., (2009) approach to estimate the mean period is better than others approaches used.The storm characterization is completed with the maximum wave height of the whole storm history. Due to synthetic historical waves databases are more accessible and longer than recorded database, the extreme analyses are done with synthetic data. For this reason the individual waves’ distribution is not known. For that limitation to be avoided, and depending on the characteristics of every sea states, one theoretical model of waves is choose and used. The kurtosis parameter is used to distinguish between linear and nonlinear sea states. The Rayleigh model is used for the linear sea states. For the nonlinear sea states, Dawson, (2004) approach is used for non-narrow bandwidth storms, comparing the results with the Boccotti, (1989), Boccotti et al., (2013) approach, with is used for narrow bandwidth storms. The multivariate and storm evolution characterization is used to analyze of stone armour damage progression and wave overtopping discharge. Both aspects are included in the second part of the thesis, with a new formula is proposed to design cubes armour layer. The results the stability studies of armour layer, done in the Centre for Harbours and Coastal Studies (CEDEX) laboratory are used for defining a new stability formula. For this reason and because the last biggest breakwater built in Spain using the cube, the damage progression is analyze for this kind of concrete block. Before to analyze the existing formulae, it is concluded that it is necessary more investigation, more tests in laboratory and data gathering in situ to define damage evolution formulae to armour of other kind of pieces and that takes to account the principal variables. This thesis proposed a method to calculate the damage progression including oblique waves, accumulated damage, and overtopping effect. The method also takes account the beginning of the movement of the blocks.

Estudio dinámico de cimentaciones en obras portuarias

Los diques de abrigo verticales son estructuras monolíticas que sirven para reflejar el oleaje creando, de este modo, una zona abrigada en el lado tierra. Son estructuras de contención de gravedad, es decir, su peso es el elemento resistente fundamental. Las solicitaciones sobre estas estructuras son de tipo dinámico (oleaje) y consisten, fundamentalmente, en un empuje frontal y una subpresión en la base que varían en el tiempo. Habitualmente, las acciones sobre los diques de abrigo se establecen mediante fórmulas empíricas, que se describen en la presente tesis si bien, para obras de especial importancia, suelen medirse en modelos reducidos de laboratorio. Cuando el cimiento en que han de apoyarse estas estructuras no presenta una resistencia al corte suficiente, el apoyo se realiza en banquetas que redistribuyen la carga y que están formadas por materiales granulares. En la práctica habitual para conocer la estabilidad de estas estructuras frente a un temporal, tras establecer las acciones de cálculo (empuje frontal y subpresión) se efectúa un cálculo pseudoestático en el que se consideran condiciones drenadas o no drenadas del cimiento en función de su permeabilidad. Se conoce que en los suelos saturados, bajo cargas cíclicas, tiende a producirse una elevación de las presiones intersticiales y una reducción de tensiones efectivas así como una degradación del módulo de deformación tangencial en función del número de ciclos de carga, pudiéndose producir el fenómeno conocido como licuefacción (arenas) o movilidad cíclica (suelos más finos). El objeto de la tesis es explorar la posibilidad, con la tecnología actual, de analizar la estabilidad de los diques de abrigo verticales en cuyo cimiento existen suelos blandos, proponiendo un procedimiento para evaluar la estabilidad dinámica en este tipo de obras. Para ello se han revisado los procedimientos actualmente utilizados para definir las acciones de cálculo, los principales modelos de comportamiento dinámicos de suelos saturados disponibles y los procedimientos de cálculo. Una vez investigado el estado del arte sobre este tema, se propone un procedimiento de cálculo en el que, utilizando el programa comercial FLAC, se establecen las acciones cíclicas sobre un dique de abrigo vertical tipo con distintas condiciones de apoyo, aplicando, para el cimiento, un modelo de comportamiento tipo hiperbólico con generación de presiones intersticiales cuyos parámetros pueden obtenerse de ensayos de campo y laboratorio. Por último, una vez descrito el procedimiento, se aplica a un caso real en el que se produjo un fallo en la cimentación que desembocó en el hundimiento de parte de un dique vertical situado en el puerto de Barcelona, presentándose los resultados obtenidos del análisis efectuado y comparándolos con los obtenidos utilizando los métodos de cálculo habituales. Vertical breakwaters are monolithic structures built to reflect sea waves, thereby providing a sheltered area on the land side. They are gravity retaining structures, that is, their own weight is their basic resisting mechanism. Loads acting on these structures are dynamic (waves) and consist essentially in a frontal thrust and an uplift pressure on the base, which both vary over time. Usually, actions in breakwater design are established by empirical formulas, which are described in this thesis. For works of particular importance, such forces are measured in small-scale laboratory tests. When there are no soils with enough shear strength under the planned vertical breakwaters, they usually rest on granular berms which redistribute the load. Nowadays, after establishing the acting forces on the breakwater (front push and uplift pressure), a pseudostatic calculation (with drained or undrained conditions depending on the foundation permeability) is normally done to analyze the stability of these structures against storm waves. It is known that pore pressures tend to rise in saturated soils under cyclic loading and, consequently, there is a reduction of effective stress. A degradation of the shear modulus also occurs depending on the number of load cycles. All of these effects can bring about the phenomenon known as liquefaction in sands or cyclic mobility in fine-grained soils. The aim of the thesis is to explore the possibility that current technology provides to analyze the stability of vertical breakwaters founded on soft soils, and to suggest a method to evaluate the dynamic stability in this type of works. To this end, a review has been made of procedures currently used to define the actions in calculations, the main models of dynamic behaviour of saturated soils available and of calculation procedures. Once the state of the art on this subject has been reviewed, a method of calculation is proposed that uses the commercial program FLAC and is applied to a typical vertical breakwater on a range of different foundation conditions. For the foundation soil, a hyperbolic constitutive model with pore pressure generation has been employed, whose parameters can be obtained from field and laboratory tests. Finally, the described procedure is applied to an actual case where a foundation failure occurred that led to the sinking of several caissons in a vertical breakwater located in the port of Barcelona. The results obtained with the proposed method are compared with those obtained using conventional methods.

Improvement of theoretical storm characterization for different climate conditions

The different theoretical models related with storm wave characterization focus on determining the significant wave height of the peak storm, the mean period and, usually assuming a triangle storm shape, their duration. In some cases, the main direction is also considered. Nevertheless, definition of the whole storm history, including the variation of the main random variables during the storm cycle is not taken into consideration. The representativeness of the proposed storm models, analysed in a recent study using an empirical maximum energy flux time dependent function shows that the behaviour of the different storm models is extremely dependent on the climatic characteristics of the project area. Moreover, there are no theoretical models able to adequately reproduce storm history evolution of the sea states characterized by important swell components. To overcome this shortcoming, several theoretical storm shapes are investigated taking into consideration the bases of the three best theoretical storm models, the Equivalent Magnitude Storm (EMS), the Equivalent Number of Waves Storm (ENWS) and the Equivalent Duration Storm (EDS) models. To analyse the representativeness of the new storm shape, the aforementioned maximum energy flux formulation and a wave overtopping discharge structure function are used. With the empirical energy flux formulation, correctness of the different approaches is focussed on the progressive hydraulic stability loss of the main armour layer caused by real and theoretical storms. For the overtopping structure equation, the total volume of discharge is considered. In all cases, the results obtained highlight the greater representativeness of the triangular EMS model for sea waves and the trapezoidal (nonparallel sides) EMS model for waves with a higher degree of wave development. Taking into account the increase in offshore and shallow water wind turbines, maritime transport and deep vertical breakwaters, the maximum wave height of the whole storm history and that corresponding to each sea state belonging to its cycle's evolution is also considered. The procedure considers the information usually available for extreme waves' characterization. Extrapolations of the maximum wave height of the selected storms have also been considered. The 4th order statistics of the sea state belonging to the real and theoretical storm have been estimated to complete the statistical analysis of individual wave height

A non-linear analysis of lying a floating pipeline on the seabed

In this article, a model for the determination of displacements, deformations and tensions of a submarine pipeline during the construction is presented. The process is carried out from an initial floating situation to the final laying position on the seabed. The existence of currents and small waves are also considered. Firstly, this technique, usually applied to polyethylene pipelines, is described in this paper as well as some real world examples, as well as the variables that can be modified to control the behavior of the structure. A detailed description of the actions in this process is considered, specially the ones related to marine environment, as Archimedes force, current and sea waves. The behavior of the pipeline is modeled with a non linear elasto dynamic model where geometric non linearities are taken into account. A 3-D beam model, without cross section deformation effects, is developed. Special care is taken in the numerical analysis, developed within an updated lagrangian formulation framework, with the sea bed contact, the follower forces due to the external water pressures and the dynamic actions. Finally, some subroutines are implemented into ANSYS to simulate the two dimensional case, where the whole construction process is achieved. With this software, a sensibility analysis of the bending moments, axial forces and stresses obtained with different values of the control variables in order to optimize the construction steps. These control variables are, the axial load in the pipe, the inundated inner length and the distance of the control barge from the coast.

Artificial neural network application in short-term prediction in an oscillating water column

Oscillating Water Column (OWC) is one type of promising wave energy devices due to its obvious advantage over many other wave energy converters: no moving component in sea water. Two types of OWCs (bottom-fixed and floating) have been widely investigated, and the bottom-fixed OWCs have been very successful in several practical applications. Recently, the proposal of massive wave energy production and the availability of wave energy have pushed OWC applications from near-shore to deeper water regions where floating OWCs are a better choice. For an OWC under sea waves, the air flow driving air turbine to generate electricity is a random process. In such a working condition, single design/operation point is nonexistent. To improve energy extraction, and to optimise the performance of the device, a system capable of controlling the air turbine rotation speed is desirable. To achieve that, this paper presents a short-term prediction of the random, process by an artificial neural network (ANN), which can provide near-future information for the control system. In this research, ANN is explored and tuned for a better prediction of the airflow (as well as the device motions for a wide application). It is found that, by carefully constructing ANN platform and optimizing the relevant parameters, ANN is capable of predicting the random process a few steps ahead of the real, time with a good accuracy. More importantly, the tuned ANN works for a large range of different types of random, process.

Caracterização ambiental de bancos areno-lamosos nos campos petrolíferos de Macau e Serra (RN), como subsídio às medidas mitigadoras ao processo erosivo

On Rio Grande do Norte northern coast the process of sediment transport are intensely controlled by wind and sea (waves and currents) action, causing erosion and shoreline morphological instability. Due to the importance of such coastal zone it was realized the multi-spectral mapping and physical-chemical characterization of mudflats and mangroves aiming to support the mitigating actions related to the containment of the erosive process on the oil fields of Macau and Serra installed at the study area. The multi-spectral bands of 2000 and 2008 LANDSAT 5 TM images were submitted on the several digital processing steps and RGB color compositions integrating spectral bands and Principal Components. Such processing methodology was important to the mapping of different units on surface, together with field works. It was possible to make an analogy of the spectral characteristics of wetlands with vegetations areas (mangrove), showing the possibility to make a restoration of this area, contributing with the environmental monitoring of that ecosystem. The maps of several units were integrated in GIS environment at 1:60,000 scale, including the classification of features according to the presence or absence of vegetation cover. Thus, the strategy of methodology established that there are 10.13 km2 at least of sandy-muddy and of these approximately 0.89 km2 with the possibility to be used in a reforestation of typical flora of mangrove. The physical-chemical characterization showed areas with potential to introduce local species of mangrove and they had a pH above neutral with a mean of 8.4. The characteristic particle size is sand in the fine fractions, the high levels of carbonate, organic matter and major and trace element in general are concentrated where the sediment had the less particles size, showing the high correlation that those elements have with smaller particles of sediment. The application of that methodological strategy is relevant to the better understanding of features behavior and physical-chemical data of sediment samples collected on field allow the analysis of efficiency/capability of sandy-muddy to reforestation with local mangrove species for mitigation of the erosive action and coastal processes on the areas occupied by the oil industry

MODELING EVOLUTION OF INTERNAL WAVES IN SOUTH CHINA SEA

Internal waves are an important factor in the design of drill operations and production in deep water, because the waves have very large amplitude and may induce large horizontal velocity. How the internal waves occur and propagate over benthal terrain is of great concern for ocean engineers. In the present paper, we have formulated a mathematical model of internal wave propagation in a two-layer deep water, which involves the effects of friction, dissipation and shoaling, and is capable of manifesting the variation of the amplitude and the velocity pattern. After calibration by field data measured at the Continental Slope in the Northern South China Sea, we have applied the model to the South China Sea, investigating the westward propagation of internal waves from the Luzon Strait, where internal waves originate due to the interaction of benthal ridge and tides. We find that the internal wave induced velocity profile is obviously characterized by the opposite flow below and above the pycnocline, which results in a strong shear, threatening safety of ocean structures, such as mooring system of oil platform, risers, etc. When internal waves propagate westwards, the amplitude attenuates due to the effects of friction and dissipation. The preliminary results show that the amplitude is likely to become half of its initial value at Luzon Strait when the internal waves propagate about 400 kilometers westwards.

Efficient Simulation of Freak Waves in Random Oceanic Sea States

Numerical simulations of freak wave generation are studied in random oceanic sea states described by JONSWAP spectrum. The evolution of initial random wave trains is numerically carried out within the framework of the modified four-order nonlinear Schroedinger equation (mNLSE), and some involved influence factors are also discussed. Results show that if the sideband instability is satisfied, a random wave train may evolve into a freak wave train, and simultaneously the setting of the Phillips parameter and enhancement coefficient of JONSWAP spectrum and initial random phases is very important for the formation of freak waves. The way to increase the generation efficiency of freak waves though changing the involved parameters is also presented.

Observation and theoretical analysis for the sand-waves migration in the North Gulf of South China Sea

According to the environmental characteristic of the north gulf of South China Sea, a quasi-3D mechanics model has been built for simulating the small scale sand-waves migration in the seas of southwest of Hainan Island. Based on the submarine micro-geomorphic data induced by multi-beam system and hydrographic survey record, the migrations of the sand-waves in the study area are predicted. The results show that calculation is consistent with the observation data in the groove of sand ridge, but not well in the crest of sand ridge. It is indicated that the mechanics model should be used to predict the migration of the small scale sand-waves which are dominated by bed load in the seas. This paper is very meaningful to project the route of submarine pipeline.

Effects of winds, tides and storm surges on ocean surface waves in the Sea of Japan

Ocean surface waves are strongly forced by high wind conditions associated with winter storms in the Sea of Japan. They are also modulated by tides and storm surges. The effects of the variability in surface wind forcing, tides and storm surges on the waves are investigated using a wave model, a high-resolution atmospheric mesoscale model and a hydrodynamic ocean circulation model. Five month-long wave model simulations are inducted to examine the sensitivity of ocean waves to various wind forcing fields, tides and storm surges during January 1997. Compared with observed mean wave parameters, results indicate that the high frequency variability in the surface wind filed has very great effect on wave simulation. Tides and storm surges have a significant impact on the waves in nearshores of the Tsushima-kaihyo, but not for other regions in the Sea of Japan. High spatial and temporal resolution and good quality surface wind products will be crucial for the prediction of surface waves in the JES and other marginal seas, especially near the coastal regions.

Characteristics of nonlinear internal waves observed in the northern South China Sea

The South China Sea (SCS) is one of the most active areas of internal waves. We undertook a program of physical oceanography in the northern South China Sea from June to July of 2009, and conducted a 1-day observation from 15:40 of June 24 to 16:40 of June 25 using a chain of instruments, including temperature sensors, pressure sensors and temperature-pressure meters at a site (117.5A degrees E, 21A degrees N) northeast of the Dongsha Islands. We measured fluctuating tidal and subtidal properties with the thermistor-chain and a ship-mounted Acoustic Doppler Current Profiler, and observed a large-amplitude nonlinear internal wave passing the site followed by a number of small ones. To further investigate this phenomenon, we collected the tidal constituents from the TPXO7.1 dataset to evaluate the tidal characteristics at and around the recording site, from which we knew that the amplitude of the nonlinear internal wave was about 120 m and the period about 20 min. The horizontal and vertical velocities induced by the soliton were approximately 2 m/s and 0.5 m/s, respectively. This soliton occurred 2-3 days after a spring tide.

Highly nonlinear internal solitary waves over the continental shelf of the northwestern South China Sea

Large amplitude internal solitary waves (ISWs) often exhibit highly nonlinear effects and may contribute significantly to mixing and energy transporting in the ocean. We observed highly nonlinear ISWs over the continental shelf of the northwestern South China Sea (19A degrees 35'N, 112A degrees E) in May 2005 during the Wenchang Internal Wave Experiment using in-situ time series data from an array of temperature and salinity sensors, and an acoustic Doppler current profiler (ADCP). We summarized the characteristics of the ISWs and compared them with those of existing internal wave theories. Particular attention has been paid to characterizing solitons in terms of the relationship between shape and amplitude-width. Comparison between theoretical prediction and observation results shows that the high nonlinearity of these waves is better represented by the second-order extended Korteweg-de Vries (KdV) theory than the first-order KdV model. These results indicate that the northwestern South China Sea (SCS) is rich in highly nonlinear ISWs that are an indispensable part of the energy budget of the internal waves in the northern South China Sea.

A study of internal solitary waves observed on the continental shelf in the northwestern South China Sea

Based on in-situ time series data from the acoustic Doppler current profiler (ADCP) and thermistor chain in Wenchang area, a sequence of internal solitary wave (ISW) packets was observed in September 2005, propagating northwest on the continental shelf of the northwestern South China Sea (SCS). Corresponding to different stratification of the water column and tidal condition, both elevation and depression ISWs were observed at the same mooring location with amplitude of 35 m and 25 m respectively in different days. Regular arrival of the remarkable ISW packets at approximately the diurnal tidal period and the dominance of diurnal internal waves in the study area, strongly suggest that the main energy source of the waves is the diurnal tide. Notice that the wave packets were all riding on the troughs and shoulders of the internal tides, they were probably generated locally from the shelf break by the evolution of the internal tides due to nonlinear and dispersive effects.