The development of studying flexible pipe bend reinforced by Kevlar fibers

The flexible pipe bend can not only reduce the structural vibration and fluid noise in pipeline, but also realize the flexible connection of a horizontal line and a vertical line and compensate the displacement of three dimensions produced by the shock or vibration of pipeline in the special situations. Up to now, little attention has been paid to study the flexible pipe bend applied in the pipeline of medium or high pressure, because no appropriate framework materials can be used to reinforce it which must endure the burst pressure higher than 10 MPa. The investigation shows that it is possible to produce the flexible pipe bend of medium or high pressure if such fibers with high performance as Kevlar fibers are used to be its reinforced materials. However, its structural designing theory, manufacturing technology and measuring techniques aren‘t yet perfect and systematic, which leads to the instability of the performance of products. Furthermore, few references about its research can be seen. Therefore, it is necessary to systematically and thoroughly develop the structural designing theory, manufacture technology and measuring techniques of flexible pipe bend.     

Stress analysis of the subsea dynamic riser baseprocess piping

Thesubsea dynamic riser base （SDRB） is an important piece of equipment for the floating production platform mooring system.One end is connected to the rigid pipeline, carrying a rigid pipeline thermal expansion load and the other end is connected to a flexible riser, carrying the dynamic load of the flexible riser, so its function is a transition connection between the flexible riser and the rigid pipeline which fixes the flexible riser on the seabed. On the other hand. as a typical subsea product, the design will satisfythe requirements of the standards for subsea products. By studying the stress analysisphilosophy of the topside piping and subsea pipeline, a physical model and procedure for piping stress analysis of the SDRB have been established.The conditions of the adverse design load have been considered, and a combination of the static load from the rigid pipeline and the dynamic load flexibility has also been optimized. And a comparative analysis between the AMSE, DNV and API standards for piping stress with the checking rules has been done.Because theSDRB belongs to the subsea pipeline terminal product, the use of DNV standards to check its process piping stress is recommended. Finally, the process piping stress of the SDRB has been calculated, and the results show that the jacket pipe and the carrier pipe stress of the SDRB process piping satisfy the DNV standards as a whole.The bulkhead cannot be accurately simulated by the AutoPIPE software which uses the FEA software ANSYS inthe detailed analysis, but the checking results will still meet the requirements of the DNV standards.     

Analytical and experimental study of free vibration of beams carrying multiple masses and springs

The structures in engineering can be simplified intoelastic beams with concentrated masses and elastic spring supports.Studying the law of vibration of the beams can be a help in guidingits design and avoiding resonance. Based on the Laplace transformmethod, the mode shape functions and the frequency equations ofthe beams in the typical boundary conditions are derived. Acantilever beam with a lumped mass and a spring is selected toobtain its natural frequencies and mode shape functions. Anexperiment was conducted in order to get the modal parameters ofthe beam based on the NExT-ERA method. By comparing theanalytical and experimental results, the effects of the locations ofthe mass and spring on the modal parameter are discussed. Thevariation of the natural frequencies was obtained with the changingstiffness coefficient and mass coefficient, respectively. The findingsprovide a reference for the vibration analysis methods and thelumped parameters layout design of elastic beams used inengineering.     

空泡闭合区压力特性试验研究(英文)

The most complicated component in cavitating flow and pressure distribution is the flow in the cavity closure line. The cavitating flow and pressure distribution provide critical aspects of flow field details in the region. The integral of pressure results of the hydrodynamic forces, indicate domination in the design of a supercavitating vehicle. An experiment was performed in a water tunnel to investigate the pressure characteristics of the cavity closure region. Ventilation methods were employed to generate artificial cavity, and the ventilation rate was adjusted accordingly to obtain the desired cavity length. An array of pressure transducers was laid down the cavity closure line to capture pressure distribution in this region. The experimental results show that there is a pressure peak in the cavity closure region, and the rise rate of pressure in space tends to be higher in the upwind side when the flow is non-axisymmetric. The transient pressure variations during the cavity formation procedure were also present. The method of measurement in this paper can be referenced by engineers. The result helps to study the flow pattern of cavity closure region, and it can also be used to analyze the formation of supercavitating vehicle hydrodynamics.     

质量比对于柔性圆柱体流激振动的影响（英文）

The effect of the mass ratio on the flow-induced vibration(FIV) of a flexible circular cylinder is experimentally investigated in a towing tank. A Tygon tube with outer and inner diameters of 7.9 mm and 4.8 mm, respectively, was employed for the study. The tube was connected to a carriage and towed from rest to a steady speed up to 1.6 m/s before slowing down to rest again over a distance of 1.6 m in still water. Reynolds number based on the cylinder's outer diameter was 800–13,000, and the reduced velocity(velocity normalized by the cylinder's natural frequency and outer diameter) spanned from 2 to 25. When connected, the cylinder was elongated from 420 mm to 460 mm under an axial pre-tension of 11 N. Based on the cylinder's elongated length, the aspect ratio(ratio of the cylinder's length to outer diameter) was calculated as 58. Three mass ratios(ratio of the cylinder's structural mass to displaced fluid mass, m*) of 0.7, 1.0, and 3.4 were determined by filling the cylinder's interior with air, water, and alloy powder(nickel-chromium-boron matrix alloy), respectively. An optical method was adopted for response measurements. Multi-frequency vibrations were observed in both in-line(IL) and cross-flow(CF) responses; at high Reynolds number, vibration modes up to the 3rd one were identified in the CF response. The mode transition was found to occur at a lower reduced velocity for the highest tested mass ratio. The vibration amplitude and frequency were quantified and expressed with respect to the reduced velocity. A significant reduced vibration amplitude was found in the IL response with increasing mass ratios, and only initial and upper branches existed in the IL and CF response amplitudes. The normalized response frequencies were revealed to linearly increase with respect to the reduced velocity, and slopes for linear relations were found to be identical for the three cases tested.     

不规则响应产生的非粘结柔性立管螺旋条带应力分析（英文）

A helical wire is a critical component of an unbonded flexible riser prone to fatigue failure. The helical wire has been the focus of much research work in recent years because of the complex multilayer construction of the flexible riser. The present study establishes an analytical model for the axisymmetric and bending analyses of an unbonded flexible riser. The interlayer contact under axisymmetric loads in this model is modeled by setting radial dummy springs between adjacent layers. The contact pressure is constant during the bending response and applied to determine the slipping friction force per unit helical wire. The model tracks the axial stress around the angular position at each time step to calculate the axial force gradient, then compares the axial force gradient with the slipping friction force to judge the helical wire slipping region, which would be applied to determine the bending stiffness for the next time step. The proposed model is verified against the experimental data in the literature. The bending moment–curvature relationship under irregular response is also qualitatively discussed. The stress at the critical point of the helical wire is investigated based on the model by considering the local flexure. The results indicate that the present model can well simulate the bending stiffness variation during irregular response, which has significant effect on the stress of helical wire.     

基于塑性模型的钢悬链立管疲劳分析（英文）

The most critical issue in the steel catenary riser design is to evaluate the fatigue damage in the touchdown zone accurately. Appropriate modeling of the riser-soil resistance in the touchdown zone can lead to significant cost reduction by optimizing design. This paper presents a plasticity model that can be applied to numerically simulate riser-soil interaction and evaluate dynamic responses and the fatigue damage of a steel catenary riser in the touchdown zone. Utilizing the model, numerous riser-soil elements are attached to the steel catenary riser finite elements, in which each simulates local foundation restraint along the riser touchdown zone. The riser-soil interaction plasticity model accounts for the behavior within an allowable combined loading surface. The model will be represented in this paper, allowing simple numerical implementation. More importantly, it can be incorporated within the structural analysis of a steel catenary riser with the finite element method. The applicability of the model is interpreted theoretically and the results are shown through application to an offshore 8.625″ steel catenary riser example. The fatigue analysis results of the liner elastic riser-soil model are also shown. According to the comparison results of the two models, the fatigue life analysis results of the plasticity framework are reasonable and the horizontal effects of the riser-soil interaction can be included.     

集束塔式立管总体强度分析(英文)

Bundled hybrid offset riser (BHOR) global strength analysis, which is more complex than single line offset riser global strength analysis, was carried out in this paper. At first, the equivalent theory is used to deal with BHOR, and then its global strength in manifold cases was analyzed, along with the use of a three-dimensional nonlinear time domain finite element program. So the max bending stress, max circumferential stress, and max axial stress in the BHOR bundle main section (BMS) were obtained, and the values of these three stresses in each riser were obtained through the "stress distribution method". Finally, the Max Von Mises stress in each riser was given and a check was made whether or not they met the demand. This paper provides a reference for strength analysis of the bundled hybrid offset riser and some other bundled pipelines.     

考虑内流和海床作用的柔性立管和钢悬链线立管非线性分析(英文)

Flexible risers and steel catenary risers often provide unique riser solutions for today’s deepwater field development. Accurate analysis of these slender structures, in which there are high-speed HP/HT internal flows, is critical to ensure personnel and asset safety. In this study, a special global coordinate-based FEM rod model was adopted to identify and quantify the effects of internal flow and hydrostatic pressure on both flexible and deepwater steel catenary risers, with emphasis on the latter. By incorporating internal flow induced forces into the model, it was found that the internal flow contributes a new term to the effective tension expression. For flexible risers in shallow water, internal flow and hydrostatic pressure made virtually no change to effective tension by merely altering the riser wall tension. In deep water the internal pressure wielded a dominant role in governing the riser effective tension and furthering the static configuration, while the effect of inflow velocity was negligible. With respect to the riser seabed interaction, both the seabed support and friction effect were considered, with the former modeled by a nonlinear quadratic spring, allowing for a consistent derivation of the tangent stiffness matrix. The presented application examples show that the nonlinear quadratic spring is, when using the catenary solution as an initial static profile, an efficient way to model the quasi-Winkler-type elastic seabed foundation in this finite element scheme.     

缓波型柔性立管构型优化及敏感性分析

针对缓波型柔性立管存在的波型较陡和浮子段张力较大的问题,对其进行优化,将单波构型优化为双波构型,运用集中质量法对改进前后的2种结构形式进行分析,确认双波构型在静力和动力响应下的张力及弯曲特性更优。在此基础上,对双波型柔性立管进行敏感性分析。在静力状态下,悬挂点和第2段浮子段末端对浮子段间隔和浮子段长度敏感;在动力响应下,悬挂段到第1段浮子段的张力变化和最小弯曲半径对浮子段间隔和大悬挂角非常敏感。研究得到的敏感性参数结论可作为缓波型柔性立管总体布置设计的参考。为提升缓波型柔性立管的性能,可合理增加浮子段与浮子段的间隔和悬挂角,但同时要满足规范的要求,避免关键部位动力响应过大。     

柔性立管构型比选及目标油田构型推荐

柔性立管是一种重要的立管形式，由于其在恶劣环境条件下具有优越的性能在海洋油气田开发中得到广泛应用。针对目前主要应用的立管构型进行介绍，并进行了深入对比分析。依托某油田开发方案设计，基于集中质量模型，利用Orcaflex 软件建模，对不同立管构型进行时域动态分析，得出立管最大有效张力、最小有效张力以及最小弯曲半径等数据，推荐适应目标油田的立管构型。     

深水塔式立管顶部浮力筒设计分析方法

研究深水塔式立管顶部浮力筒初步设计分析的基本流程与方法,涉及的技术难点包括顶部浮力筒设计中阻力最小化与浮力最大化的优化、浮力筒舱室的数量与尺寸的确定、单/多个浮力筒舱室破坏时浮力的裕量等。总结顶部浮力筒设计参数对设计性能影响的基本规律,并给出顶部浮力筒分析校核的主要工况载荷。以西非海域深水油气田为例,对深水塔式立管顶部浮力筒进行设计分析。范例表明提出的设计分析方法行之有效。     

顺应式垂直通路立管新构型设计及其力学性能分析

为研究顺应式垂直通路立管（以下简称CVAR）的力学特性，本文基于虚功原理和变分原理创建了CVAR力学模型，并与文献结果进行对比验证，之后在原构型的基础上提出改进，在进一步校正浮力因子后对CVAR进行时域内的动力响应分析。结果表明：新构型相较于原构型不仅减少了浮力块的布置数量，而且在设计位置和极端偏移情况下都能保证良好的作业性能；新构型过渡段的浮力因子在1.08~1.82范围内能满足文中给出偏移情况下的作业要求；CVAR的动力分析中，下部区域（靠井口位置）的各项位移很小，能保持良好的作业性能；过渡段区域由于弯矩较大引起应力值较高，是应优先检测的位置。     

深水系泊缆绳动力特性研究

考虑波浪、海流、顶部浮体运动与海底接触效应的影响,依据集中质量法建立系泊缆绳柔性力学模型,以一座深水半潜式平台的系泊系统为例,对比研究了各种因素对于缆绳动态张力与水中构型的影响程度,最后采用模型试验方法对数值计算结果进行验证。研究表明：缆绳的动态系泊张力主要由浮体运动所引起,可达总张力的20%左右,海流流速可使得缆绳形态出现大变形,导致缆绳卧底长度发生明显改变,危及平台作业安全,波浪与海底摩擦对于缆绳响应的直接作用较小,设计阶段基本可以忽略不计。     

脐带缆深水安装的参数影响分析(英文)

随着水深的增加引起外部压力的增大和脐带缆的重量相应增加,且由于海洋环境载荷和浮体的运动引起复杂的动力特性使得脐带缆的受力复杂,其安全性受到很大的挑战,故深水安装是脐带缆的关键问题之一。文章详细分析了安装过程中不同浮力块的布置方式(不同尺寸,长度和布置位置)和波浪与流的方向对脐带缆的影响。利用悬链线方程构建自由悬挂的脐带缆的模型,然后施加浮力与环境载荷得到动态脐带缆的安装模型。通过对比分析表明,浮力块的布置方案和波浪与流的方向对脐带缆的安装都有很大的影响,上述这些参数在安装中需要给予重视。     

A numerical study on the installation configuration design of compliant vertical access riser (CVAR) in deepwater

In oil and gas transportation, the compliant vertical access riser (CVAR) system conducts economic and operational advantages due to its special configuration. In this paper, the static performance of the CVAR is studied by an efficient numerical method. According to the unique configuration of the CVAR, the mathematical model is established based on minimum total potential energy principle. The equilibrium equations are discretized by finite difference method and then solved by Newton-Raphson technique. The accuracy of the numerical method is verified by OrcaFlex software. Detailed parametric analysis is carried out based on practical engineering requirements. The effects of buoyancy section's configuration including buoyancy factor, buoyancy section's length and buoyancy section's location, and external environmental factors including wellhead offset distance, water depth and current velocity on installation shape and mechanical properties of the CVAR are analyzed. The research shows that the presented numerical method has good applicability and flexibility for the early installation configuration design of marine risers which have no touchdown section but only one touchdown point and are equipped with multiple buoyancy blocks subjected to forces of different directions and magnitudes, such as CVARs.     

深水缓波型刚性立管的设计方法

缓波型刚性悬链线立管由于其良好的力学性能和较低的成本,适用于深水油气田开发。本文详述了缓波型刚性悬链线立管的设计准则和设计流程,给出了分布式浮块的设计方法和等效原则,推导了等效水动力参数的计算公式。通过静力分析,得到了不同浮块的布置位置和浮力系数对立管形态、顶端张力、弯矩分布的影响;通过动力分析,得到了沿管等效应力响应的分布规律,为缓波型刚性悬链线立管的设计提供了有益的参考。     

海洋立管悬挂状态的固有频率和振型

文章把悬挂状态的立管简化为一端固定一端自由的梁模型,考虑截面性质和有效张力及质量的变化,其控制方程为变系数的四阶偏微分方程,运用微分变换方法推导了固有频率和振型的数值计算方法。通过数值算例验证了文中方法的有效性,考察了收敛速度的变化情况,讨论了立管末端的悬挂器具对固有频率和振型的影响,并结合工程实际,给出了若干海况下立管悬挂状态时在飞溅区的共振区域。     

柔性立管涡激振动响应轨迹特性研究

为了深入研究细长柔性立管的涡激振动响应特性,进行了柔性立管的拖曳水池试验。由拖车拖动立管产生相对来流,根据应变测试得到的应变数据,基于模态叠加法得到位移响应。试验分析前,通过数值方法先针对刚性立管的涡激振动响应轨迹特性进行了分析。紧接着,通过试验方法对柔性立管的单模态以及多模态涡激振动响应轨迹特性进行了深入的分析和讨论。通过分析发现:柔性立管在低速下具有与刚性立管类似的轨迹响应特性,均呈现经典的8字形状;柔性立管在高速下,其轨迹开始变得混乱,这主要是由位移的多模态响应特性所产生。