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Experimental and Numerical Study of Wave-Induced Backfilling Beneath Submarine Pipelines

机译:海底管道波浪回填试验与数值研究

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Through complementary experimental and numerical efforts, the present paper aims to make a significant contribution to the overall understanding of backfilling processes beneath submarine pipelines. For this purpose, we aim to simplify the experimental backfilling process to an elementary two-stage process: (1) initial scour induced by a pure current, followed by: (2) backfilling induced by pure waves. A steady current is introduced via a re-circulating pump, and is kept constant with a cross-sectional velocity of V = 0.48 m/s until an initial equilibrium scour depth, S0, is reached. Then, the current is stopped and waves (characterized by their Keulegan-Carpener number KC and Shields parameter θ)are introduced to initiate the backfilling process, which is maintained until a new equilibrium scour depth, Sf, is reached. The time at which waves are introduced will be denoted as t = 0. For the backfilling process both regular and irregular waves are used during the experiments. As a demonstration of the initiated two-stage (scour followed by backfilling) process, bed profiles based on video recordings from a case having KC = 9.7 and ϴ = 0.195,are depicted at selected stages in Figure 1. Figure 1(upper left) depicts the current-induced equilibrium scour hole in the near vicinity of the pipe at t = 0, with the profile approximated as the dashed red line. Similarly, Figure 1(upper right) depicts the new equilibrium scour profile (approximated as the full blue line) that has developed under wave-induced backfilling, corresponding to t = 60min. To ease comparison, the dashed red and full bluelines from these plots are additionally combined onto Figure 1 (bottom).The experimental campaign has additionally been complemented with similar numerical simulations (using regular waves), based on a fully-coupled hydrodynamicand morphodynamic CFD model (Jacobsen et al., 2014),extending previous pipeline scour-related applications ofFuhrman et al. (2014) and Larsen et al. (2016). Comparison of the numerical and experimental results demonstrate the ability of the CFD model to reasonably simulate the current-to-wave backfilling process, both interms of the achieved new wave induced equilibriumscour depths as well as the corresponding backfilling timescales. Figure 2 depicts a summary of both experimental and numerical backfilling time scale Tb versus Shields parameter θ. As can be seen, both experimental as well as numerical results match the regression equation:T=0.3 θ-quite closely (solid line in Figure 2).
机译:通过相辅相成的实验和数值努力,本论文旨在为对海底管道下方回填过程的整体理解做出重大贡献。为此,我们旨在将实验回填过程简化为基本的两阶段过程:(1)由纯电流引起的初始冲刷,然后:(2)由纯波引起的回填。稳定电流通过循环泵引入,并以V = 0.48 m / s的截面速度保持恒定,直到达到初始平衡冲刷深度S0。然后,停止电流并引入波(由其Keulegan-Carpener数KC和Shields参数θ表征)以启动回填过程,该过程一直保持到达到新的平衡冲刷深度Sf为止。引入波的时间将表示为t =0。对于回填过程,实验过程中同时使用了规则波和不规则波。为了说明已启动的两阶段(先进行冲刷,然后进行回填)过程,在图1的选定阶段描绘了基于来自KC = 9.7和ϴ = 0.195的案例的视频记录的床剖面。图1(左上方)图中描绘了在t = 0处管道附近附近的电流感应平衡冲刷孔,其轮廓近似为红色虚线。同样,图1(右上方)显示了在波浪诱导的回填作用下形成的新的平衡冲刷剖面(近似为全蓝线),对应于t = 60min。为了便于比较,将这些图中的红色虚线和全蓝线额外合并到图1中(底部)。基于完全耦合的流体动力学和形态动力学CFD模型,实验活动还通过类似的数值模拟(使用规则波)进行了补充(Jacobsen等人,2014),扩展了Fuhrman等人先前与管道冲刷相关的应用。 (2014)和Larsen等。 (2016)。数值和实验结果的比较表明,CFD模型能够合理模拟电流到波浪的回填过程,包括获得的新波浪引起的平衡冲刷深度以及相应的回填时间尺度。图2总结了实验和数值回填时间标度Tb与Shields参数θ的关系。可以看出,实验结果和数值结果均与回归方程式非常吻合:T = 0.3θ-非常紧密(图2中的实线)。

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