Experimental investigation on vortex-induced force of a Steel Catenary Riser under in-plane vessel motion

A method to identify vortex-induced forces and coefficients from measured strains of a Steel Catenary Riser (SCR) undergoing vessel motion-induced Vortex-induced Vibration (VIV) is proposed. Euler–Bernoulli beam vibration equations with time-varying tension is adopted to describe the out-of-plane VIV responses. Vortex-induced forces are reconstructed via inverse analysis method, and the Forgetting Factor Least Squares (FF-LS) method is employed to identify time-varying vortex-induced force coefficients, including excitation coefficients and added mass coefficients. The method is verified via a finite element analysis procedure in commercial software Orcaflex. The time-varying excitation coefficients and added mass coefficients of an SCR undergoing vessel motion-induced VIV are investigated. Results show that vessel motion-induced VIV is excited at the middle or lower part of the SCR and in the acceleration period of in-plane velocity, where most of the excitation coefficients are positive, while during the deceleration period, the excitation coefficients becomes too small to excite VIVs. Parameter γ [1] has strong correlation with excitation coefficients. In addition, time-varying tensions contribute significantly to the variations of added mass coefficients under the condition that the ratio of dynamic top tension to pretension exceeds the range of 0.7–1.3. Moreover, chaotic behaviors are observed in vortex-induced force coefficients and are more evident with the increase of vessel motion velocity. This behavior may attribute to the randomness existing in in-plane velocity and its coupling with out-of-plane vibrations.     

Fatigue damage induced by vortex-induced vibrations in oscillatory flow

Vortex-induced vibration (VIV) of a flexible cylinder in oscillatory flow was experimentally investigated in an ocean basin. An intermittent VIV was confirmed to have occurred during the tests. The fatigue damage caused by VIV was calculated based on rainflow counting and a standard S–N curve. There are 3 main observations for fatigue damage from VIV in oscillatory flow: 1) the damage varied significantly with the KC number, which is a unique feature for VIV in oscillatory flow. 2) Fatigue damage at small KC number cases was found to be larger compared to those at large KC numbers owing to the fact that number of vortex shedding cycles per half of the motion cycle is low, and damping within half of the motion cycle will hence become low. The fact that vortices from the previous cycle still are active during the next may also contribute to the large response at small KC numbers. 3) ‘Amplitude modulation’ and ‘mode transition’, two specific features for VIV in oscillatory flow, were found to have a strong influence on fatigue. Fatigue damage has also been calculated by an empirical VIV prediction model assuming that all cases have steady flow at an equivalent velocity. Finally, a simplified method for calculating fatigue damage from VIV in oscillatory flow based on steady flow conditions is proposed. A modification factor diagram is presented, but the scope of the present study is too limited to provide a good basis for a general model for this factor. A general model for how to apply results from constant current analysis to predict fatigue in oscillatory flow will therefore need further research.     

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。     

Riser-soil interaction model effects on the dynamic behavior of a steel catenary riser

A mathematical model employed to analyze the global dynamics of a Steel Catenary Riser (SCR) taking into account the interaction with the seafloor and the effect of the soil reaction forces is established. The choice of soil model plays an important role for the dynamic behavior of SCRs. The riser has been modeled using flexible beam with large curvature and elastic foundation beam to describe the riser-soil interaction by means of realistic nonlinear load-deflection (P–y) curves. The study is made to improve an existing finite element numerical code for dynamic analysis of mooring lines and risers, known as CABLE 3D, which is based on a slender rod assumption. Effects of nonlinear seabed model on the dynamic behavior of SCRs under vessel cyclic perturbation have further been investigated and discussed using a realistic P–y curve to simulate soil deformation and resistance forces. The interaction model depends on several factors, such as soil strength, penetration depth and riser characteristics. The dynamic responses of the riser Touchdown Point (TDP) excited by vessel periodic heave motion are studied and the results are compared with those from the linear spring model. SCR has been perturbed by 10 regular sinusoidal cycles and the responses calculated by improved code show a number of features such as suction force mobilization, gradual increasing penetration depth, and gradual reduction of soil resistance at maximum penetration. The riser behavior at the touchdown zone (TDZ) depends on the riser top motion amplitude, nonlinear soil stiffness and suction force. The impact of the riser-soil interaction model on the dynamic behavior in the TDZ has been thoroughly studied in this paper.     

振荡来流下柔性立管涡激振动响应特性试验研究

在顶部浮体的带动下,悬链线立管的动力响应会诱发其周围产生相对来流,而这种振荡来流将激励立管悬垂段产生“间歇性”的涡激振动。文章在海洋工程水池中对不同最大约化速度URmax、KC数组合下的振荡来流作用下的柔性立管开展模型试验研究,利用光纤应变片测量模型的涡激振动响应。结合模态分析与小波变换对试验数据进行分析,讨论并总结了最大约化速度URmax以及KC数对涡激振动位移幅值响应特性的影响规律。文中进一步分析发现振荡来流下的涡激振动响应还存在“迟滞”及“高阶谐频”现象。     

参激振动对顺应式垂直通路立管涡激振动的影响

顺应式垂直通路立管(CVAR)是目前处于研究阶段的一种新型的立管类型,在海流作用下产生涡激振动,在平台垂荡运动作用下产生参数激励振动。为了研究参数激励的影响,本文引入尾流振子模型模拟漩涡脱落对立管的作用,同时考虑浮式平台升沉运动产生的参数激励,建立了CVAR参激-涡激联合振动方程,获取联合作用下的动力响应,并与纯涡激振动响应进行对比。结果表明,在相同的流速下CVAR中部涡激振动幅值最大,流速的增大会导致涡激振动的频率增大,发生高阶锁振,高阶锁振振动幅值比低阶锁振振动幅值小。考虑参数激励之后,较纯涡激振动而言,立管的振动幅值增大;当参激频率与涡激振动频率接近时,立管的振动幅值最大。     

基于模型试验的实尺度立管涡激振动响应预报方法研究

为了研究立管涡激振动模型试验与实尺度立管涡激振动响应之间的相互关系问题,文章从模型试验的相似理论出发,基于涡激振动预报方法的理论分析;通过对模型试验中按照相似理论换算得到的流速进行调整的方法,改变模型立管的涡激振动响应,并逼近实尺度立管的涡激振动响应.结果表明:通过调整试验流速,提高试验的雷诺数,可以使立管模型的涡激振动响应模态数、无量纲振幅RMS(A/D)响应与实尺寸立管很好地符合.针对不同的缩尺比模型,给出了立管模型试验流速与其模拟的真实流速之间的对应关系式.     

Fatigue damage from time domain simulation of combined in-line and cross-flow vortex-induced vibrations

A semi-empirical method for time domain simulation of vortex-induced vibrations (VIV) is used to calculate the in-line and cross-flow fatigue damage of a tensioned riser in uniform and sheared flow. Simulations are run for flow velocities ranging from 0.3 m/s to 2.4 m/s, and a detailed comparison with experimental observations is performed. Results are reported in terms of dominating frequency, mode of vibration and mean of r.m.s. of displacement, as well as fatigue damage distribution along the length of the structure and maximum fatigue damage rates for each case. Fatigue damage is calculated by rainflow counting of the strain time series together with an idealized S–N curve with slope m = 3. The results show that the model reproduces the measured fatigue damage with a satisfactory level of realism, using a consistent set of parameters. This indicates that the model is usable for calculation of riser VIV fatigue damage in various current conditions, assuming the Reynolds number is in the subcritical range.     

LQR control on multimode vortex-induced vibration of flexible riser undergoing shear flow

Under the actions of ocean currents and/or waves, deep-sea flexible risers are often subject to vortex-induced vibration (VIV). The VIV can lead to severe fatigue and structural safety issues caused by oscillatory periodic stress and large-amplitude displacement. As flexible risers have natural modes with lower frequency and higher density, a multimode VIV is likely to occur in risers under the action of ocean currents, which is considered as shear flow. To decrease the response level of the VIV of the riser actively, a multimode control approach that uses a bending moment at the top end of the riser via an LQR optimal controller is developed in this study. The dynamic equations of a flexible riser including the control bending moment in shear flow are established both in the time and state-space domains. The LQR controllers are then designed to optimize the objective function, which indicates the minimum cost of the riser's VIV response and control input energy based on the Riccati equation of the closed-loop system under the assumption that the lift coefficient distribution is constant. Finally, the VIV responses of both the original and closed-loop systems under different flow velocities are examined through numerical simulations. The results demonstrate that the designed active control approaches can effectively reduce the riser displacement/angle by approximately 71%–89% compared with that of the original system. Further, for multimode control, the presented mode-weighted control is more effective than the mode-averaged control; the decrease in displacement is approximately 1.13 times than that of the mode-averaged control. Owing to the increase in flow velocity as more and higher-order modes are excited, the VIV response of the original system decreases slightly while the frequency response gradually increases. For the closed-loop system, the response becomes smaller and more complicated, and the efficiency of the controller becomes lower at a certain flow velocity.     

Fatigue damage analysis of the deepwater riser from VIV using pseudo-excitation method

The fatigue damage of a long deepwater riser undergoing in-line and cross-flow vortex-induced vibration (VIV) in deepwater is numerically studied using pseudo-excitation method (PEM) in present paper. For evaluating the fluid–structure interaction problem of vortex-induced vibration of deepwater riser at high Reynolds number, the strip theory is employed in this paper, and the discrete vortex method (DVM) is used to calculate the VIV of each strip to obtain the load spectrum as the pseudo-excitation, while the finite volume method (FVM) is employed to evaluate the structure dynamics of a deepwater riser. The VIV is considered as a stationary random process. The response of riser to vortex induced excitation is calculated using pseudo-excitation method. The DVM model and pseudo-excitation method are both validated by comparing their numerical results with experiments. The fatigue damage of one deepwater riser is evaluated based on the Palmgren–Miner Rule.     

表面粗糙度对立管涡激振动响应影响的试验研究

应用模型试验的方法,研究了表面粗糙度对立管涡激振动响应特性的影响规律,对不同粗糙度条件下立管所受拖曳力、升力、端部张力、漩涡泄放频率、结构振动响应频率、位移响应等参数的变化规律进行了对比分析。结果表明：与立管横向振动相比,立管流向振动更早出现锁定现象,因此当折合速度较低时,立管流向振动的涡激振动响应要大于横向振动。立管张力均存在两个峰值频率,其中一个峰值频率为主导频率,与拖曳力主导频率吻合,由流向涡激振动所产生;另一个峰值频率为主导频率的一半,与升力主导频率吻合,由横向涡激振动所产生。因此可以看出：横向涡激振动与流向涡激振动通过张力作用而相互影响。与光滑立管相比,表面粗糙度降低了立管的涡激振动位移响应,减小了涡激振动的锁定区域,但提高了漩涡泄放频率。对于不同粗糙度下的粗糙立管,随着粗糙度的增加,立管的锁定区域开始点逐渐提前,锁定结束点逐渐推迟,锁定区域逐渐变宽。     

计及海底井口影响的隔水管涡激振动响应特性试验

在靠近海底井口位置,隔水管周围流场受井口系统的影响发生变化,流固耦合下涡激振动可能诱发隔水管在横流向(CF方向)更为剧烈的振动。为了研究受管土装置影响的隔水管涡激振动响应特性,使用自主设计的管土装置模拟海底井口,采用8 m柔性立管,进行了均匀流下单管和受管土装置影响的涡激振动对比试验。试验通过FBG光纤应变片测得应变信息,使用模态叠加法、FFT变换处理分析试验数据,对比分析2组隔水管的主导频率、应变时历与幅值谱、无因次振幅以及激励力系数等参数沿管径的分布情况。结果发现管土装置影响下,隔水管主导频率减小;CF方向涡激振动增大,振幅沿径向呈非对称特征;涡激振动振幅更大,隔水管受流场的激励与阻尼更为剧烈。     

Numerical analysis of vortex-induced vibration on a flexible cantilever riser for deep-sea mining system

The flexible cantilever riser, as a special form of the marine riser, can be encountered in a deep-sea mining system, where the bottom of the long vertical lifting pipeline is connected with the intermediate warehouse. The main objective of this paper is to investigate the effects of the bottom weight caused by the intermediate warehouse and the flow speed on the dynamic responses of the cantilever pipeline. A quasi-3D coupling algorithm based on the discrete vortex method and finite element method is employed to calculate the unsteady hydrodynamic forces and vortex-induced vibrations of this pipeline in the time domain, respectively. We first simulate the VIV of a long flexible riser with two fixed ends in a stepped flow to validate the feasibility of the present method. Then, systematic simulations of cross-flow VIV of the cantilever riser are carried out under a wide range of bottom weights and different current speeds. The number of the vibration mode shows the decreasing tendency with the increase of the bottom weight. In a certain range of the weight, the number of the dominant mode remains unchanged, while the vibration amplitude declines with increasing weight. An amplitude jump phenomenon can be observed when the transition of the dominant mode in two contiguous mode clusters occurs. Moreover, the higher-order modes are excited with the increase of the current speed.     

平台运动对深水钻井隔水管非线性动力响应的影响

文章建立了波浪、海流和船体运动等载荷综合作用下的深水钻井隔水管非线性时域动力响应模型,模型考虑了顶部张力和隔水管内部泥浆对隔水管动力响应的影响,计人了张力沿隔水管长度的变化,并采用有限差分法求解了四阶偏微分运动方程.计算了随机波浪和规则波浪下船体运动对深水钻井隔水管非线性动力响应的影响,研究分析了船体平均偏移以及波频响应和低频响应的周期和幅值对深水钻井隔水管动力响应的影响.结果表明,船体运动对深水钻井隔水管动力响应有较大的影响,在随机波浪和海流作用下,考虑船体运动时,隔水管上部最大弯矩增大了59%.船体的平均偏移主要影响底部最大弯矩.船体波频运动对上部最大弯矩有较大影响,随着波频响应的周期和幅值的变化,上部最大弯矩变化较快,而低频响应的则主要影响隔水管上部弯矩.     

低质量-阻尼因子圆柱体的涡激振动预报模型

本文考查了在均匀来流中作横向振荡的圆柱体与周围流体之间的能量转移,由此建立了基于受迫振荡实验数据的弹性支撑圆柱体在均匀流中的涡激振动响应预报模型.根据此模型,分析了低质量-阻尼因子圆柱体的涡激振动响应特性.就水中圆柱体涡激振动响应特性相关的几个关键性问题进行了深入的讨论,包括响应振幅的决定因素、附加质量对锁定范围及响应频率的影响.正确理解这些问题对于深水立管涡激振动响应的有效预报至关重要.     

Towards a model of hydrodynamic damping for a circular cylinder with helical strakes at low KC

This paper investigates the hydrodynamic damping of a circular cylinder with helical strakes at Keulegan-Carpenter (KC) number from 0.07 to 3 in the presence of steady currents. Experiments were performed with a straked cylinder oscillating in either in-line or cross currents over Reynolds number (based on the oscillating velocity amplitude) varying from 1260 to 54,000. With in-line current being present, the measured drag coefficients of the straked cylinder are found to depend on the ratio between the oscillating velocity amplitude and the steady current velocity. This phenomenon is further confirmed by computational fluid dynamics using large-eddy simulations. The drag coefficients obtained from the numerical simulations agree well with the experimentally determined values. Similar phenomenon is observed for the cases with cross background current. Based on the experimental data, empirical formulae are proposed to evaluate drag coefficients. These results are of importance in estimating the resonant motion and the fatigue life of risers, e.g. water intake risers, in the flow regime of low KC. Finally, recommendations are provided for fatigue analysis of risers with helical strakes from the perspective of engineering practice.     

南海自由站立式立管设计与分析

自由站立式立管可作为南海油气开发的立管形式。根据设计参数建立自由站立式立管系统模型,根据南海某油田环境参数校核立管各工况下的强度结果并进行疲劳分析,探讨自由站立式立管动态强度与疲劳特性并验证是否满足规范要求。分析结果表明：该立管设计满足规范中的强度与疲劳要求,且疲劳性能较好;立管等效应力最大处为立管主体顶部应力节下端;最危险浪流方向为沿立管向平台方向;立管主体应力水平受平台运动影响较小,受顶部张紧力以及海流大小影响较大;疲劳损伤最大处位于立管主体顶部,且涡激疲劳损伤大于浪致疲劳损伤。     

螺旋侧板的高度对VIV影响的CFD分析

深水立管在来流作用下容易产生流向和横向的周期性位移振动(VIV),这种流固耦合作用会加剧立管结构疲劳,最终导致其功能失效。之前的研究发现螺旋侧板可以有效的抑制VIV的影响,其中侧板高度和螺距等几何参数决定其抑制效率。文章主要基于CFD对不同高度螺旋侧板的立管的尾流场进行数值模拟。结果表明:在研究范围内,螺旋侧板随高度增大抑制VIV效果越好,在H=0.25D(D为立管直径)时作用最佳,但拖曳力系数明显增大,同时来流方向和螺旋侧板的夹角也会影响其抑制效率。     

钢悬链线的涡激振动分析

文章介绍了立管在不同流剖面下的涡激振动实验,然后给出了简支钢悬链线的静态方程和基于能量平衡原理的涡激振动频域预报理论.之后提出把钢悬链的参数转化为顶部张紧钻井隔水管的参数的思想.通过预报顶部张紧钻井隔水管的涡激振动响应,得到钢悬链线的涡激振动响应.文中还研究了不同的顶部预张力和不同流剖面对钢悬链线的涡激振动响应影响.结果表明立管的固有频率和模态数的关系足线性的,并且立管的均方根位移和激励的模态数不仅与流速的大小和变化范围有关,还与顶部预张力有关.     

螺旋列板绕流流场CFD分析

隔水管是海洋钻井作业的关键设备,其安全性至关重要.涡激振动是隔水管失效的重要因素.水深小于500m时,优化隔水管系统可以避免使用涡激抑制装置,超过1000m,必须采用涡激抑制装置.螺旋列板是现场常用的涡激抑制装置.基于流体动力学方法,利用FLUENT软件求解螺旋列板三维绕流流场的控制方程,同时计算了钝体隔水管三维绕流流场,流场参数(升力系数、曳力系数、涡量等)特征进行对比分析,显示出螺旋列板在涡激抑制方面的优势.计算结果表明,虽然螺旋列板能够减小横向升力,但同时会导致流向曳力明显增加.