沿圆曲线的Radon变换数值解

研究具有紧支集且在支集内连续的二元函数沿上半圆曲线的Radon变换反演问题。基于对投影函数的Fourier变换,反演问题可以归结为具有弱奇性及震荡核的Abel积分方程的求解。我们证明了当圆曲线中心及半径在一定范围内变化时,在已知沿上半圆曲线的Radon变换情况下,这个积分方程的解具有唯一性,并给出了消除Abel积分方程弱奇性的数值方法。在考虑投影数据噪声的情况下,给出了多次加权改善系数矩阵条件数稳定的数值方法,并通过数值模拟验证所提出方法的有效性。     

A conceptual model for kimberlite emplacement by solitary interfacial mega-waves on the core mantle boundary

If convection in the Earth's liquid outer core is disrupted, degrades to turbulence and begins to behave in a chaotic manner, it will destabilize the Earth's magnetic field and provide the seeds for kimberlite melts via turbulent jets of silicate rich core material which invade the lower mantle. These (proto-) melts may then be captured by extreme amplitude solitary nonlinear waves generated through interaction of the outer core surface with the base of the mantle. A pressure differential behind the wave front then provides a mechanism for the captured melt to ascend to the upper mantle and crust so quickly that emplacement may indirectly promote a type of impact fracture cone within the relatively brittle crust. These waves are very rare but of finite probability. The assumption of turbulence transmission between layers is justified using a simple three-layer liquid model. The core derived melts eventually become frozen in place as localised topographic highs in the Mohorovicic discontinuity (Moho), or as deep rooted intrusive events. The intrusion's final composition is a function of melt contamination by two separate sources: the core contaminated mantle base and subducted Archean crust. The mega-wave hypothesis offers a plausible vehicle for early stage emplacement of kimberlite pipes and explains the age association of diamondiferous kimberlites with magnetic reversals and tectonic plate rearrangements.     

关于O3层垂直剖面遥感的逆转曲线的数学拟合模式

逆转遥感是当前获得大气O₃层垂直剖面资料的重要方法之一，而逆转曲线的质量对遥感结果的精度至关重要．本文在最小二乘法的基础上，结合逆转曲线的特征，加以适当处理，建立了逆转曲线的拟合数学模式．其性能良好，对研究O₃层垂直剖面的长期演变趋势具有重要意义．     

小尺度断裂沿层曲率敏感性研究

沿层曲率作为地震属性的一种,不仅有数学几何意义更有着重要的地质意义。和相干体相比,沿层曲率在油气勘探中常被用于刻画地质构造形态及断裂精细解释,特别是在小尺度断裂发育的地区更为有效。而在实际工作中,有时利用沿层曲率所描述的断裂效果不太明显。为进一步明确对于刻画断裂结果的影响因素及其适用条件,以鄂尔多斯盆地Q区Tj9为研究对象,基于Geoeast软件对该区小尺度断裂系统从选取属性、方位角、频带三个方面展开分析。结果表明：（1）曲率比相干体更适用于刻画较小尺度的断层;（2）平面上从平行断裂的方位观测,断裂识别不清晰;从垂直断裂的方位观测,易于识别;（3）在反射层同相轴较强时,中高频段对断裂识别更清楚;在反射层同相轴较弱时,中频段对断裂识别更清楚。因此可以根据不同属性、不同方位角、不同频带对断裂的敏感程度,用不同的数据体解释小尺度断裂,提高对断层刻画的精度,为复杂油气勘探寻找有利区奠定基础。     

软土地基深开挖对场地设计地震动的影响

本文根据南京河西地区所处的地震地质环境、地震活动环境及基岩地震动衰减规律,在场址区地震危险性分析基础上确定该地区的基岩地震动参数,并选取河西地区某个典型工程场地,根据场地上的静、动力性能参数的测试结果,进行场地上层地震反应分析,研究软土地基条件下地基深开挖场地的地震动效应及其对场地设计地震动参数的影响．文中给出了设计基准期为５０年及１００年时对应不同抗震设防水准的设计地震动参数,该结果对河西地区其它高层建筑的抗震设计也有一定的参考价值．     

2001年1月26日高纬磁层顶通量管事件的观测研究

2001年1月26日11:10～11:40UT, ClusterⅡ卫星簇位于午后高纬磁鞘边界层和磁鞘区,此 时行星际磁场Bz为南向. 本文对在此期间观测到的多次磁通量管事件作了详细的研究 ,获得一系列的新发现：（1）高纬磁鞘边界层磁通量管的出现具有准周期性,周期约为78s ,比目前已知的磁层顶向阳面FTE的平均周期（8～11min）小得多. （2）这些通量管都具有 强的核心磁场;其主轴多数在磁场最小变化方向,少数在中间变化方向,有些无法用PAA判 定其方向（需要用电流管PAA确定）,这与卫星穿越通量管的相对路径有关. （3）每个事件 都存在很好的HT参考系,在HT参考系中这些通量管是准定常态结构;所有通量管都沿磁层顶 表面运动,速度方向大体相同,都来自晨侧下方. 通量管的径向尺度为1～2RE, 与通 常的FTE通量管相当. （4）起源于磁层的强能离子大体上沿着管轴方向由磁层向磁鞘运动; 起源于太阳风的热等离子体沿管轴向磁层传输. 通量管为太阳风等离子体向磁层输运和磁层 粒子向行星际空间逃逸提供了通道. （5）每个通量管事件都伴随有晨昏电场的反转,该电 场为对流电场.     

The Freezing Precipitation over the Middle-Lower Reaches of the Yangtze River during February-March 2009

In this paper, the authors analyze the quasistationary fronts, surface conditions, and atmospheric stratification processes associated with a freezing precipitation event over the middle-lower reaches of the Yangtze River, especially in the Dabie mountain during February-March 2009. The long duration of freezing precipitation was primarily caused by stationary and anomalous synoptic weather patterns, such as a blocking high pressure in the northern branch and a trough in the southern branch of the westerlies, which resulted in the encounter cold air from northern China and warm moisture from the south. The east-west-oriented, quasi-stationary front （or shear line） found in central China was mostly responsible for producing the precipitation. The warm layer and nearsurface frozen layer were located in the lower troposphere along the front zone. Although the warm layer （〉 0℃） existed along the whole front, a surface temperature less than 0℃ appeared only over the lower-middle reaches of the Yangtze River, especially in the Dabie mountain. Therefore, the surface temperature was the main influencing factor, as the freezing precipitation only happened over the Dabie mountain.     

基于BJ-RUCv2.0预报系统对大雾形成和发展关键条件的数值分析

为了弄清北京地区持续性雾-霾天气过程的演变规律、揭示大雾形成和发展的关键条件,利用常规气象观测资料、高速路自动气象站观测资料和大气成分观测资料分析了2013年1月26~31日雾-霾天气过程的演变特征和有利于大雾形成和发展的天气形势。在此基础上,采用先进的北京快速循环同化中尺度数值预报系统（BJ-RUC v2.0）开展数值模拟,分析大雾形成的水汽、动力和热力条件,得出:模式对1月30日夜间至31日前半夜的雾区模拟较好,但对28日夜间至29日白天（大雾天气伴严重大气污染）雾区的模拟偏差较大。发现近地层的持续性东南风使950 hPa以下湿度增大是大雾形成的关键条件。上层（975~800 hPa）的明显暖平流导致逆温层的加强和维持,使大气层结稳定度增强,是大雾天气发展和维持的重要条件。另外,近地层950 hPa以下为风场辐合、其上层为风场辐散的结构有利于雾的进一步发展。     

沙漠化:从圈层耦合到全球变化

从沙漠化概念提出伊始 ,沙漠化成因机理的研究就一直成为学术界关注的焦点。沙漠化过程究竟有多少是由自然因素所致 ,多少是由人类活动所为 ,诸因素与沙漠化之间有何内在关系 ,沙尘天气发生发展过程及其诱因等 ,当属地球系统科学应解决的难题。文章从全球变化的角度 ,将沙漠系统视作一种类生命的非线性动力系统 ,指出沙漠化源于地球表层系统各圈层之间复杂的相关与耦合作用 :气候变化是控制沙漠进退的首要因素 ;陆表水持续亏损则是导致干旱、半干旱地区沙漠化发展的直接原因 ;岩石圈构造运动塑造了不同的地形地貌单元 ,奠定了沙漠分布的地理格局 ;人类的不当活动和气候变化引起的生物生产力的衰退及土地覆盖的破坏 ,造成了现代沙漠化的快速扩张。     

Instabilities of the tidally induced bottom boundary layer in the rotating frame and their mixing effect

To investigate the stability of the bottom boundary layer induced by tidal flow (oscillating flow) in a rotating frame, numerical experiments have been carried out with a two-dimensional non-hydrostatic model. Under homogeneous conditions three types of instability are found depending on the temporal Rossby number Ro_t, the ratio of the inertial and tidal periods. When Ro_t < 0.9 (subinertial range), the Ekman type I instability occurs because the effect of rotation is dominant though the flow becomes more stable than the steady Ekman flow with increasing Ro_t. When Ro_t > 1.1 (superinertial range), the Stokes layer instability is excited as in the absence of rotation. When 0.9 < Ro_t < 1.1 (near-inertial range), the Ekman type I or type II instability appears as in the steady Ekman layer. Being much thickened (100 m), the boundary layer becomes unstable even if tidal flow is weak (5 cm/s). The large vertical scale enhances the contribution of the Coriolis effect to destabilization, so that the type II instability tends to appear when Ro_t > 1.0. However, when Ro_t < 1.0, the type I instability rather than the type II instability appears because the downward phase change of tidal flow acts to suppress the latter. To evaluate the mixing effect of these instabilities, some experiments have been executed under a weak stratification peculiar to polar oceans (the buoyancy frequency N²  10⁻⁶ s⁻²). Strong mixing occurs in the subinertial and near-inertial ranges such that tracer is well mixed in the boundary layer and an apparent diffusivity there is evaluated at 150–300 cm²/s. This suggests that effective mixing due to these instabilities may play an important role in determining the properties of dense shelf water in the polar regions.