Analysis of the extreme wave elevation due to second-order diffraction around a vertical cylinder     

《Applied Ocean Research》2019

Statistical analysis of nonlinear random waves is important in coastal and ocean engineering. One approach for modeling nonlinear waves is second-order random wave theory, which involves sum- and difference-frequency interactions between wave components. The probability distribution of the non-Gaussian surface elevation can be solved using a technique developed by Kac and Siegert [21]. The wave field can be significantly modified by wave diffraction due to a structure, and the nonlinear diffracted wave elevation can be of interest in certain applications, such as the airgap prediction for an offshore structure. This paper investigates the wave statistics due to second-order diffraction, motivated by the scarcity of prior research. The crossing rate approach is used to evaluate the extreme wave elevation over a specified duration. The application is a bottom-supported cylindrical structure, for which semi-analytical solutions for the second-order transfer functions are available. A new efficient statistical method is developed to allow the distribution of the diffracted wave elevation to be obtained exactly, accounting for the statistical dependency between the linear, sum-frequency and difference-frequency components. Moreover, refinements are proposed to improve the efficiency for computing the free surface integral. The case study yields insights into the problem. In particular, the second-order nonlinearity is found to significantly amplify the extreme wave elevation, especially in the upstream region; conversely, the extreme elevation at an oblique location downstream is attenuated due to sheltering effects. The statistical dependency between the linear and sum-frequency components is also shown to be important for the extreme wave statistics.  相似文献   

Semi-analytical solution for the water wave diffraction by arrays of truncated circular cylinders in front of a vertical wall     

《Applied Ocean Research》2019

The present study investigates the combined wave field that is induced by the continuous interaction of plane waves with an array of truncated circular cylinders in front of a rigid wall. The long-term goal of the study is the investigation of possible increase in the efficiency of cylindrical Wave Energy Converters (WECs) by putting in the vicinity of the array a barrier to propagation, a wall, that could assist the reflection of the incoming waves. The main task is to develop a generic solution method that is free of conceptual simplifications employed, e.g. by the method of images and the assumption of “pure” wave reflection. To cope with the set task, the proposed method relies on the semi-analytical formulation of the velocity potentials, while the solution is sought by combined expressions that involve polar and elliptical harmonics. The wall is represented as an elliptical cylinder with zero semi-minor axis. This assumption has eventually a beneficial effect to the underlying formulation given that it simplifies significantly the expansions of the involved diffraction potentials.  相似文献   

岩石显微构造分析现代技术——EBSD技术及应用   总被引：10，自引：0，他引：10  

曹淑云  刘俊来 《地球科学进展》2006,21(10):1091-1096

EBSD技术的发展,为岩石显微构造分析开辟了一个全新的领域。它与现代扫描电子显微镜和能谱分析等设备配合,可以同时对块状样品进行晶体结构与成分分析,从而使显微构造、微区成分与结晶学数据分析有机结合起来。 EBSD技术可以精确、快速定量标定包括各种晶系晶体颗粒的晶格方位和描述晶体颗粒的边界、形态等特征,对于具有低角度边界的晶体颗粒提供精确数据,为阐述岩石变形机制提供重要约束,并为高级晶族和不透明矿物结晶学组构与变形机制研究提供了有效的手段。EBSD尤其使获取微米级甚至纳米级尺度上颗粒（亚颗粒）或相之间的定向差别（达到20 nm的空间分辨率和0.3度角度分辨率）成为可能。EBSD技术在矿物相鉴定、亚微域内的应变分析、矿物出溶作用等方面的应用,进一步证明了这一新技术在显微构造分析及相关领域的应用前景。其广泛应用必将带来岩石显微构造研究的新突破,也将成为未来岩石变形机制与岩石圈流变学研究取得飞速发展不可或缺的技术手段。  相似文献   

对共反射面叠加的进一步探讨   总被引：5，自引：5，他引：0       下载免费PDF全文

田文辉  李振春  孙小东 《地球物理学进展》2006,21(3):932-937

共反射面元（CRS）叠加考虑了反射层的局部特征和第一菲涅耳带内的全部反射,更充分挖掘了多次覆盖数据的潜力.但在地下介质复杂并存在倾斜层时存在反射点分散的情况,从而影响了CRS叠加效果.本文从射线理论出发,在考虑反射层局部特征的情况下,推导了水平地表和起伏地表情况下计算真实反射点分散程度的公式,最终将反射点分散程度定量表达出来.通过对反射点分散程度的控制,从CRS道集中抽取出共反射点（CRP）道集,在CRP道集中而不是在CRS道集中实现叠加,其效果应比传统的CRS叠加效果要好.利用水平地表和起伏地表的模型验证了本文所推导的公式的正确性和有效性.该公式在实际资料处理中的运用尚待进一步研究.  相似文献   

基于走时的保幅偏移方法   总被引：5，自引：4，他引：1       下载免费PDF全文

张平平  常旭  桂志先 《地球物理学进展》2006,21(4):1186-1191

振幅随偏移距变化是描述储层特征的重要方法之一,保幅偏移方法就是使偏移剖面能够反映出振幅随偏移距的变化.本论文中的保幅偏移是以走时为基础,主要的方法是采用走时的双曲线展开法,通过走时的二阶空间导数来确定波前曲率.该方法通过建立在大网格上的走时表来确定插值系数,将大网格插值成为较为精细的网格,这样就节省了数据的存储空间.对于相同的网格密度,通过插值来计算走时表比采用程函方程有限差分法直接计算走时要节省5至6倍的时间.走时的插值系数还可以用来计算几何扩散因子、权函数,不仅提高了成像质量,还大大节省了计算时间.  相似文献   

弯曲射线追踪中Dijkstra算法的改进与实现   总被引：5，自引：5，他引：0       下载免费PDF全文

王汪根  刘盛东  张平松 《地球物理学进展》2006,21(4):1120-1126

文章针对图论中寻找最短路径的Dijkstra算法内存占用量大,效率低的缺点,对该算法进行了改进,修改后的算法计算效率是原来的四倍,内存使用量和图中节点数呈线性关系.在此基础上,用新算法求出了激发点和接收点的最短走时路径,并由激发接收点的旅行时结合联合迭代法对理论模型和实际场地进行了反演.结果表明：和直射线追踪相比,弯曲射线路径能更好地反演出地质体内部的速度场分布.理论模型和实际探测结果证实改进后的算法是有效的.  相似文献   

二维复杂介质中地震波走时和射线的计算方法及其应用   总被引：1，自引：0，他引：1  

潘纪顺  张先康  赵成斌  张景超 《地震研究》2006,29(3):245-250

将Podvin和Lecomte的精确局部格点走时计算方法和Schneider等人的动态规划方法结合起来,可得到一种快速、有效的有限差分波前计算方法。使用该方法对各种类型地震波的走时和射线的计算进行了讨论,并给出了这种有限差分走时计算在叠前深度偏移中的应用实例。  相似文献   

VCT的技术特性和临床价值     

李剑颖 《CT理论与应用研究》2007,16(2):60-65

本文介绍了Light Speed VCT的技术特性,包括硬件、软件和图像重建的技术进步,以及这些技术进步带来的图像质量上的改进和临床应用.这些先进的临床应用包括5秒心脏成像、胸痛三联诊等.探讨了降低病人剂量的重要性以及实现图像质量和X射线剂量的和谐和同一.  相似文献   

非线性效应对浅水水波变形的影响   总被引：3，自引：0，他引：3  

李瑞杰  魏守林 《海洋湖沼通报》1998,(1):1-5

本文采用波数矢量无旋和波能守恒方程建立了一个考虑非线性作用的浅水水波变形数值模型,模型中采用Ｂａｔｔｊｅｓ关系与波数矢量无旋,波能守恒方程一起来求解波浪在浅水中变形的波浪要素,在波能守恒方程中考虑了底摩擦的影响。利用本文提出的数值模型对一个斜坡浅滩水域波浪折射绕射现象进行了验证,验证计算中用一个非线性经验弥散关系近似浅水水波变形的非线性效应并与用线性弥散关系的计算结果进行了比较,结果说明使用非线性  相似文献   

Nonlinear Effect of Wave Propagation in Shallow Water   总被引：5，自引：2，他引：5  

LI Ruijie  WANG Houjie Associate Professor  Ocean University of Qingdao  Qingdao  P. R. China. Graduate Student  Ocean University of Qingdao  Qingdao  P. R. China. 《中国海洋工程》1999,(1)

—In this paper,a nonlinear model is presented to describe wave transformation in shallow wat-er with the zero-vorticity equation of wave-number vector and energy conservation equation.Thenonlinear effect due to an empirical dispersion relation(by Hedges)is compared with that of Dalrymple＇sdispersion relation.The model is tested against the laboratory measurements for the case of a submergedelliptical shoal on a slope beach,where both refraction and diffraction are significant.The computation re-sults,compared with those obtained through linear dispersion relation.show that the nonlinear effect ofwave transformation in shallow water is important.And the empirical dispersion relation is suitable for re-searching the nonlinearity of wave in shallow water.  相似文献