On the motion around the centre of mass of a viscously elastic sphere in the restricted elliptic three-body problem

In the restricted three-body problem we consider the motion of a viscously elastic sphere (planet) with its centre of mass moving in a conditionally-periodic orbit. The approximate equations describing the rotational motion of the sphere in terms of the Andoyer variables are obtained by the method of the separation of motion and averaging; the evolution of the motion is also analysed.     

南海北部陆架区两个台风过境时近惯性运动的若干特征

Features of near-inertial motions on the shelf(60 m deep) of the northern South China Sea were observed under the passage of two typhoons during the summer of 2009. There are two peaks in spectra at both sub-inertial and super-inertial frequencies. The super-inertial energy maximizes near the surface, while the sub-inertial energy maximizes at a deeper layer of 15 m. The sub-inertial shift of frequency is induced by the negative background vorticity. The super-inertial shift is probably attributed to the near-inertial wave propagating from higher latitudes. The near-inertial currents exhibit a two-layer pattern being separated at mid-depth(25–30 m), with the phase in the upper layer being nearly opposite to that in the lower layer. The vertical propagation of phase implies that the near-inertial energy is not dominantly downward. The upward flux of the near-inertial energy is more evident at the surface layer(17 m). There exist two boundaries at 17 and 40 m, where the near-inertial energy is reflected upward and downward. The near-inertial motion is intermittent and can reach a peak of as much as 30 cm/s. The passage of Typhoon Nangka generates an intensive near-inertial event, but Typhoon Linfa does not. This difference is attributed to the relative mooring locations, which is on the right hand side of Nangka's path(leading to a wind pattern rotating clockwise with time) and is on the left hand side of Linfa's path(leading to a wind pattern rotating anti-clockwise with time).     

2013年7月1日河北宁晋极端短时强降水成因研究

2013年7月1日午后至夜间,华北出现一次区域性暴雨和局地大暴雨过程。局地极端降水出现在河北省邢台市宁晋县四芝兰镇,过程雨量409 mm,其中当日17—19时连续2 h雨量超过100 mm。利用常规高空和地面观测资料、NCEP再分析资料和石家庄新一代天气雷达资料,探讨了宁晋极端短时强降水的形成原因。主要结论是:(1)低槽、冷锋、副热带高压及其外围低涡切变线为其主要影响系统,海南附近台风远距离影响加强了水汽自南向北的输送,半定常的地面辐合切变线对新生对流的触发和已有对流的维持及加强起到重要作用;(2)宁晋最强降水期间,其上空具有较强的垂直风切变,有利于高度组织化的对流系统发展;(3)对流系统的后向传播使回波主体移动缓慢、持续时间长,而回波强度大和雨强很强,则导致四芝兰镇极端强降水,此外,具有弱中气旋的超级单体相对较长时间的影响使其对四芝兰镇强降水具有重要贡献;(4)产生极端降水的对流系统属于高质心发展强烈的大陆强对流型,而非更易导致强降水的低质心系统。同时,针对众多学者研究北京"7.21"特大暴雨得到的一些结论进行了进一步探讨和验证。     

超长管棚施工技术在山岭隧道软弱围岩中的应用

以黄衢南高速公路阳排尖隧道为例,介绍了大于30 m超长管棚施工技术;并根据现场监控量测数据,对左右洞不同管棚施工技术效果进行对比分析;分析结果显示,一次性施作超长管棚在山岭隧道软弱围岩地段有较好的实用性。     

A-C复合交联剂的合成及其应用

合成了3种交联剂:柠檬酸铝、柠檬酸铬、A-C复合交联剂,利用傅立叶红外光谱、紫外光谱对它们进行了表征,并将其用于清水和处理后油田采出污水配制HPAM型聚合物弱凝胶的对比实验。实验表明:A-C复合交联剂用于油田采出污水配制的聚合物弱凝胶的成胶效果最优;当pH值为6、成胶温度为60℃、成胶时间为1 d时所配制的弱凝胶黏度最大,其黏度值达到1 129 mPa.s。随后考察了A-C复合交联剂浓度、成胶温度、矿化度、pH值、S2-及Fe2+等因素对A-C复合交联剂弱凝胶体系黏度的影响效果,结果表明:A-C复合交联剂基本上可用于油田处理后污水配制弱凝胶体系,有望实现油田处理后污水的资源化利用。     

地震过程中斜坡滑动破坏实验分析

为了研究地震引起的斜坡滑动破坏规律及其位移、应变的变化规律,利用数字散斑相关方法(DSCM),对主要受水平方向地震动荷载作用下的斜坡进行了实验模拟。结果表明,斜坡的破坏首先从模型底部弱面位置开始,沿弱面逐渐扩展,最终破坏;斜坡所含弱面的深度,对破坏过程有重要的影响。     

高精度磁测划分弱磁地层界线的应用效果

甘肃省西和县大坪测区、礼县马家沟测区、肃南县黑沟西测区应用高精度磁法测量划分弱磁性地层界线的效果良好,岩性磁化率差值在10～20×10-5SI以上,磁异常差值在10～20nT以上的弱磁性地层界线可以明显区分。在实际生产中对地质填图起到了指导作用。     

海杂波微弱目标分形检测

The target on the sea surface is complex and difficult to detect due to the interference of backscattered returns from the sea surface illuminated by the radar pulse. Detrended fluctuation analysis （DFA） has been used successfully to extract the time-domain Hurst exponent of sea-clutter series. Since the frequency of the sea clutter mainly concentrates around Doppler center so that we consider to extract frequency-do- main fractal characterization and then detect a weak target within sea clutter by using the difference of frequency-domain fractal characterization. The generalized detrended fluctuation analysis （GDFA） is more flexible than traditional DFA owing to its smoothing action for the clutters. In this paper, we apply the GDFA to evaluate the generalized Hurst exponent of sea-clutter series in the frequency domain. The difference of generalized Hurst exponents between different sea-clutter range bins would be used to determine whether the target exists. Moreover, some simulations with the real IPIX radar data have also been demonstrated in order to suooort this conclusion.     

井中磁测资料预处理与弱信号识别

井中磁测仪器距离场源近,磁测资料受到钻孔打穿磁性体产生的内磁场影响,往往存在强干扰压制有用信号,因此研究井中磁测资料预处理与弱信号识别方法具有重要意义。笔者将地面重磁资料边界识别中倾斜角总水平导数和解析信号振幅方法改进后应用于井中磁测资料预处理中,提出倾斜角垂向导数和均值归一解析信号振幅方法。通过模型分析证明了两种方法都可识别强弱不同的井旁磁性体位置,反映边界信息,且给出了计算均值归一解析信号振幅过程中窗口选择的依据。将两种方法应用于江苏某工区ZK002孔磁测资料预处理中,得出倾斜角垂向导数方法应用于实测资料中会放大干扰,而均值归一解析信号振幅方法增强了该钻孔弱异常信息,且压制了干扰信号,处理结果与磁化率测井和钻孔资料相对应。     

On the exact shape of the horizontal profile of a topographically rectified tidal flow

Abstract

Starting from the nonlinear shallow water equations of a homogeneous rotating fluid we derive the equation describing the evolution of vorticity by a fluctuating bottom topography of small amplitude, using a multiple scale expansion in a small parameter, which is the topographic length scale relative to the tidal wave length. The exact response functions of residual vorticity for a sinusoidal bottom topography are compared with those obtained by a primitive perturbation series and by harmonic truncation, showing the former to be invalid for small topographic length scales and the latter to be only a fair approximation for vorticity produced by planetary vortex stretching. In deriving the exact shape of the horizontal residual velocity profile at a step-like break in the bottom topography, it is shown that the Lagrangian profile only exists in a strip having the width of the amplitude of the tidal excursion at both sides of the break, and that it vanishes outside that interval. Moreover, in the limit of small amplitude topography at least, it vanishes altogether for the generation mechanism by means of planetary vortex stretching. The Eulerian profile is shown to extend over twice the interval of the Lagrangian profile both for production by vortex stretching and by differential bottom friction. These finite intervals over which the residual velocity profiles exist for a step-like topography are not reproduced by harmonic truncation of the basic equation. This method gives exponentially decaying profiles, indicating spurious horizontal diffusion of vorticity. In terms of orders of magnitude, the method of harmonic truncation is reliable for residual velocity produced by vortex stretching but it overestimates the residual velocity produced by differential bottom friction by a factor 2.