浅水区海底管道周围海床渗透压力计算研究

我国海上油田开采起步较晚,大部分油田处于浅水区,因此,在设计管道时,应充分考虑由浅水区波浪引起的管道周围海床渗流力。根据浅水波相关假设,考虑自由水面非线性影响,推导出椭圆余弦波的波面方程,在此基础上进一步得到一个关于速度势的表达式,并根据该表达式得出作用于海床表面的波压公式。考虑海床土的压缩性,推导出一阶近似椭圆余弦波作用下浅水区埋置管道周围海床的渗流压力解析解,最后将计算结果与大型水槽试验及以往研究成果作对比。结果表明,在椭圆余弦波的作用下,由一阶椭圆余弦波理论得到的计算结果与试验结果规律基本一致,与相似工况下的现有理论成果数值基本相同,具有一定的可行性和工程价值。     

水力耦合作用下煤矿井壁结构的竖向承载特性试验

为掌握深厚含水层段地下水渗流-应力耦合作用下钢筋混凝土井壁结构的竖向承载特性,根据相似理论设计出了4组模型试验,并在同组试验中增设对照试验;研究了不同强度井壁混凝土在考虑与不考虑水力耦合作用下的力学性能差异以及水力耦合作用下井壁结构的应力变形特征与竖向极限承载力的变化情况。结果表明:地下水渗流-应力耦合损伤影响程度与井壁混凝土强度有关;随着混凝土强度提高,相应地,抗渗性与密实度亦得到提高,地下水渗入混凝土内部的难度增加,从而使耦合损伤影响程度减弱。结合极限平衡理论对井壁结构的受力机理展开了分析,根据理论推导和试验结果共同建立了水力耦合作用下井壁结构竖向承载力计算公式,理论值与试验值偏差范围为0.39%～2.05%,此结果可为该类井壁结构的竖向承载力设计提供依据。     

考虑床面边界层效应的波浪海床相互作用分析

在考虑海床表面附近黏性边界层的影响下, 考察了波浪与弹性多孔海床之间的相互作用．波浪场包括势流部分和边界层部分,海床域控制方程由比奥固结理论给出．波浪场和海床域通过交界面处应力连续和速度连续条件进行耦合．在简谐波和小变形的前提下,通过联立求解势流方程、波浪边界层方程和海床准静态比奥固结方程得到了波浪运动及相应的海床动力响应的解析解．通过与以往文献的实验结果进行对比,解析解的合理性得到了验证．通过参数分析讨论了实际问题中需要考虑波浪和海床相互作用机制的海床土质条件,以及流体黏性对波能衰减的影响规律．      

分数阶理论下实心球体受热冲击作用的渐进分析

基于分数阶广义热弹性理论,针对实心球体在外表面受均匀热冲击作用下的一维广义热弹性问题进行研究分析. 利用热冲击的瞬时特征,借助于Laplace 正、反变换技术及柱函数的渐进性质,推导了热冲击作用周期内位移场、温度场和应力场的渐进表达式. 通过计算,得到了不同传热能力下受热冲击作用时热波、热弹性的传播规律以及位移场、温度场及应力场的分布规律. 结果表明:分数阶参数取值的不同,热波、热弹性波的传播以及各物理场的分布均有所不同,分数阶参数可视为延迟时间的影响因子,通过改变延迟效应对热弹性行为的影响来改变热冲击的作用效果.      

基于双剪统一强度理论的厚壁圆筒塑性极限载荷分析

应用双剪统一强度理论,考虑材料的拉压异性和同性,推导了在内压和轴力联合作用下的厚壁圆筒的塑性极限载荷表达式．在该表达式中,当其系数取不同的值时,就能得到按Tresca屈服准则、线性逼近的Mises屈服准则和双剪应力屈服准则进行计算的结果．     

多个椭圆柱波浪力的一种解析解

波浪在大尺寸结构表面产生不可忽略的散射波, 该散射波在多柱体体系中继续传播, 并在同体系中的其他柱体上产生高次散射波. 本文基于椭圆坐标系和绕射波理论首先推导了波浪作用下椭圆单柱体产生的散射波压力公式, 随后考虑该散射波在多柱体系中的传播, 将其视为第二次入射波, 推导出柱体上第二次散射波压力公式, 同理可以推导出高次散射波压力公式, 最后得到椭圆多柱体波浪力解析解, 并用数值解验证了本文解析方法的正确性. 本文以双柱体和四柱体体系为例, 分析了不同参数(波数、净距、波浪入射角度等)下, 高次散射波对柱体上波浪作用的影响. 结果表明: 波数较大的情况下, 高次散射波引起柱体上的波浪力不能忽略; 结构间距较大的情况下, 虽然高次波的作用有减小的趋势但仍然明显; 高次散射波来自多个柱体对入射波的散射, 柱体数目的增加后, 高次波的影响会增加, 结构所受的高次波作用因参数变化而起的波动会变剧烈; 高次波对上游柱体波浪力的贡献较对下游柱体的贡献大.      

两层流体界面上的二阶椭圆余弦波

本文考虑两固壁间静定分层的两流体模式,采用约化摄动法及PLK方法,得到界面二阶椭圆余弦波。在退化情况下与文献[2]、[3]的结果相一致。     

瓦斯渗流场作用下煤层抽放钻孔弹塑性解

为研究瓦斯渗流场作用下的煤层抽放钻孔周围应力分布情况,假定钻孔周围煤体中瓦斯的流动为稳定径向流动状态,建立了渗流力学模型,给出了瓦斯径向稳定渗流方程;在考虑瓦斯渗流场作用下,推导了钻孔周围煤体的微元体力学平衡方程,并引入应力调整系数,求解出其弹性应力解析解;再应用Mohr-Coulomb屈服准则,求解出钻孔周围煤体的塑性应力和塑性半径的解析表达式。通过实例分析表明:钻孔内的抽放负压对钻孔周围煤体应力、塑性区的半径等参数影响较小;在一定的抽放负压(15k Pa)下,随着煤层原始瓦斯压力的增大,钻孔周围煤体的塑性区半径随之增大,距钻孔足够远处的弹性区煤体的应力也随之增大,这比不考虑瓦斯渗流场作用时的经典弹塑性解更加符合实际情况。     

基于稳定理论的剪切薄膜屈曲分析

依据大挠度屈曲理论,考虑沿褶皱方向张拉应力对薄膜结构的影响,推导出了屈曲后的褶皱构形参数表达式,并结合试验结果对所得公式进行了简化. 采用该公式对剪切位移载荷作用下平面张拉薄膜的屈曲现象进行分析. 通过与已有文献公式以及ABAQUS 数值分析结果和试验结果进行比较,从而验证了该公式的有效性和合理性.      

基于稳定理论的剪切薄膜屈曲分析简

依据大挠度屈曲理论,考虑沿褶皱方向张拉应力对薄膜结构的影响,推导出了屈曲后的褶皱构形参数表达式,并结合试验结果对所得公式进行了简化. 采用该公式对剪切位移载荷作用下平面张拉薄膜的屈曲现象进行分析. 通过与已有文献公式以及ABAQUS 数值分析结果和试验结果进行比较,从而验证了该公式的有效性和合理性.     

Diffraction of cnoidal waves by vertical cylinders in shallow water

Diffraction of nonlinear waves by single or multiple in-line vertical cylinders in shallow water is studied by use of different nonlinear, shallow-water wave theories. The fixed, in-line, vertical circular cylinders extend from the free surface to the seafloor and are located in a row parallel to the incident wave direction. The wave–structure interaction problem is studied by use of the nonlinear generalized Boussinesq equations, the Green–Naghdi shallow-water wave equations, and the linearized version of the shallow-water wave equations. The wave-induced force and moment of the Green–Naghdi and the Boussinesq equations are presented when the incoming waves are cnoidal, and the forces are compared with the experimental data when available. Results of the linearized equations are compared with the nonlinear results. It is observed that nonlinearity is very important in the calculation of the wave loads on circular cylinders in shallow water. The variation of wave loads with wave height, wavelength and the spacing between cylinders is studied. Effect of the neighboring cylinders, and the shielding effect of upwave cylinders on the wave-induced loads on downwave cylinders are discussed.     

地震和波流作用下海底悬跨管线模型实验研究

利用水下地震-波流联合模拟实验系统研究了海底管线在波浪、水流和地震作用下的动态响应特征。实验中考虑了有无地震作用、悬跨长度、波浪高度、水深、水流速度以及是否满管状态等因素。通过DDP动态数据后处理软件对实验结果进行处理分析,得到海底悬跨管道的动态响应特性。实验结果表明:在浅海海域,悬跨管线的动态反应受波浪及水深变化的影响不明显,悬跨长度是影响管道动态响应的主要影响因素;悬跨管线在地震与波流共同作用下的反应与仅地震作用下的应变存在差别;在波浪力作用下,空管时管线的应变要小于满管时的情况。     

A method to recover water-wave profiles from pressure measurements

An operational formulation is proposed for reconstructing a time series of water surface displacement from waves using measurements of pressure. The approach is based on the fully nonlinear formulation for pressure below traveling-wave solutions of Euler’s equations developed by Oliveras, Vasan, Deconinck and Henderson. Its validity is tested using experiments in which both the pressure and the surface displacement are measured. The experiments include a wave system that is Galilean invariant – cnoidal waves, and wave systems that are not – reflected cnoidal waves and wave groups. We find that since the proposed formulation is nonlinear, it reproduces the amplitude spectrum of the measured surface displacements better than the hydrostatic model and better than the linear model that takes into account the pressure response factor due to small amplitude waves (the transfer function). Both the proposed formula and the transfer function reconstruct the surface reasonably well, with the proposed formula’s being about 5% more accurate.     

Recent progresses in studies on wave-current loads on foundation structure with piles and slab

The foundation structure with piles and slab is widely used in offshore wind farm construction in shallow water. Experimental studies on the hydrodynamic loads acting on the piles and slab under irregular waves and currents are summarized with discussion on the effects of pile grouping on the wave forces and wave impact loads on the slab locating near the free surface. By applying the theoretical solution of the wave diffracted by the slab and using the Morison equation to evaluate the wave force on the piles, the effects of the slab on the wave forces acting on the piles are analyzed. Based on the Reynolds-averaged Navier-Stokes (RANS) equations and the volume of fluid (VOF) method, a numerical wave basin is developed to simulate the wave-structure interaction. The computed maximum wave force on the foundation structure with piles and slab agrees well with the measured data. The violent deformation, breaking, and run-up of the wave around the structure are presented and discussed. Further work on the turbulent flow structures and large deformation of the free surface due to interaction of the waves and foundation structures of offshore wind farms needs more efficient approaches for evaluating hydrodynamic loads under the effects of nonlinear waves and currents.     

A new approach to solve the problems of seismic vibrations for periodically nonuniform buried pipelines

The method proposed by E.A. Il’yushina is used to study the longitudinal vibrations of segmented buried pipelines. It is shown that the averaged wave velocity in a periodically nonuniform pipeline is specified by the effective static moduli of the periodicity cell and that, in the case of using a vibration damping material made of rubber or soft metal at joints between pipes, this velocity can be much less than the velocity of longitudinal waves in the main pipe. The last fact makes it reasonable to consider supersonic regimes in the problems of seismic vibrations when the wave velocity in a pipeline is less than the wave velocity in the soil.     

Wave forces on a submerged horizontal plate - Part I: Theory and modelling

This paper is concerned with the propagation of nonlinear gravity waves over a thin horizontal plate submerged in water of shallow depth. An unsteady solution of the problem is obtained by use of the theory of directed fluid-sheets for the two-dimensional motion of an incompressible and inviscid fluid. Particular attention is paid to the calculation of the nonlinear wave-induced vertical and horizontal forces and overturning moment by solving the Level I Green–Naghdi equations. The theoretical formulation of the problem is given in this paper (Part I), while the results due to solitary and cnoidal waves, and comparisons with the available experimental data are given in a companion paper under the same title (Part II).     

A theoretical investigation on the wave forces on the multiple cylinders in shallow water

The diffraction problem of two kinds of shallow water wave, cnoidal wave and solita. wave, around a group of cylinders is discussed. A Bessel corrdinate transformation i. employed to uniform the coordinate system, and thus the boundary condition on each cylinder’s surface can be satisfied by determining the coefficients in the solution. Several examples are calculated for two kinds of incident wave and various arrangement of the cylinders, and the results are discussed and compared with the available experimental data.     

Steep wave fronts on extrudates of polymer melts and solutions: lubrication layers and boundary lubrication

Steep wave fronts tend to develop in many regimes of lubricated, slipping flows in which waves appear. Problems of slip, spurt, fracture and extrudate distortion can be framed in terms of lubrication theory with paradigms arising from the lubrication of heavy oil with water for some problems and concepts from the theory of boundary lubrication for others. In water-lubricated pipelines, high pressures are produced at the front side of a wave on the oil when water is forced through the wavecrest and the wall, low pressures develop at the back of the wave where the gap opens. The steep waves which develop on cores of heavy oil lubricated by water are irregular and look like melt fracture. Direct numerical simulation of regular periodic waves give rise to sharkskin solutions in which the wave length decreases with the wave amplitude as the gap size decreases, preserving the steep wave front. Wave steepening seems always to occur in extrusion when the polymers slip, in the abrasion of rubber samples and in Schallamach's waves of detachment.     

破碎带波浪的数值模拟

基于一组色散关系得到改进的完全非线性Boussinesq方程建立了一个波浪模型可以模拟近岸水域的波浪变浅、破碎以及在海滩上的爬高等多种变形。波浪破碎引起的能量衰减是在动量方程中引入一个在空间和时间上都只作用于波前的涡粘项来模拟。动海岸线边界用窄缝法处理。波浪爬高用非线性浅水方程推导的非破碎波浪在斜坡上爬高的解析解来验证。本模型还模拟了波浪在斜坡上不同类型的破碎变形过程,并将其波高和平均水位的沿程变化和物理模型实验的结果比较,两者符合良好。     

Large eddy simulation of boundary layer flow under cnoidal waves

Water waves in coastal areas are generally nonlinear, exhibiting asymmetric velocity profiles with different amplitudes of crest and trough. The behaviors of the boundary layer under asymmetric waves are of great significance for sediment transport in natural circumstances. While previous studies have mainly focused on linear or symmetric waves, asymmetric wave-induced flows remain unclear, particularly in the flow regime with high Reynolds numbers.Taking cnoidal wave as a typical example of asymmetric waves, we propose to use an infinite immersed plate oscillating cnoidally in its own plane in quiescent water to simulate asymmetric wave boundary layer. A large eddy simulation approach with Smagorinsky subgrid model is adopted to investigate the flow characteristics of the boundary layer. It is verified that the model well reproduces experimental and theoretical results. Then a series of numerical experiments are carried out to study the boundary layer beneath cnoidal waves from laminar to fully developed turbulent regimes at high Reynolds numbers, larger than ever studied before.Results of velocity profile, wall shear stress, friction coefficient, phase lead between velocity and wall shear stress, and the boundary layer thickness are obtained. The dependencies of these boundary layer properties on the asymmetric degree and Reynolds number are discussed in detail.