Internal waves in a rotating stratified spherical shell: asymptotic solutions

Summary. Small amplitude oscillations of a rotating, density-stratified fluid bounded by a spherical shell are examined. No restrictions are placed on the thickness of the shell. The internal mode spectrum is examined in the complete rotation-stratification parameter range including the regime that is appropriate for a plausible stratification distribution in the Earth's fluid core. A mathematical model is derived in terms of an eigenvalue PDE of mixed type. The existence of oscillatory solutions is exhibited in the limits of no rotation and no stratification. The frequency spectrum is extended asymptotically away from these limiting cases. A reduction in the complexity of the PDE for modes oscillating at the inertial frequency is exploited. A variational formulation is constructed in which the stratification parameter is treated as an eigenvalue of the system for fixed wave frequency. The spectral information is again extended asymptotically away from these 'accessible' points. Although the PDE reduces to Laplace's tidal equations (LTE) only under stringent parameter restrictions, it is observed that aspects of the behaviour of low frequency LTE modes are reproduced in the general model.     

乔治王岛菲尔德斯半岛的地温特征和岩石热物理性质

1985—1986年度和1986—1987年度在菲尔德斯半岛对地面温度进行了测量,共获得129个数据,并对带回的样品进行了岩石热导率测量,共获得210个数据。本文在分析和归纳这些数据的基础上对菲尔德斯半岛的地温特征和岩石热物理性质进行了初步探讨。     

Reflection effect in close binaries. II. Distribution of emergent radiation from the irradiated component along the line of sight

We have calculated the effects of irradiation from a point source observed at infinity. Plane-parallel approximation and spherically-symmetric approximations are employed in calculating the self-radiation field for the sake of comparison. It is found that there are considerable changes in the radiation received at infinity between the approximation of plane-parallel stratification and spherical symmetry.     

球面四元三角网的复杂拓扑关系计算

针对已有球面四元三角网拓扑关系计算方法不能处理带空洞复杂目标的情况,提出了基于公共三角格网来计算球面四元三角网复杂拓扑关系,该方法能准确判断出带空洞复杂目标的拓扑关系,为全球空间分析和应用提供了新的思路。     

基于QTM的海平面上升分析与模拟

针对海平面上升影响范围分析与模拟这一国际前沿问题,通过研究基于球面四元三角网(QTM)的关键技术问题,包括复杂拓扑关系计算、LOD剖分、球面水淹分析、基于QTM的多分辨率的DEM数据组织方法和分析精度的相关性评定等,以.Net和Direct3D为开发工具,设计开发了基于QTM的海平面上升影响范围评估模型。该研究结果可为全球海平面上升影响的防灾减灾决策提供有效支撑,并推动了球面数据模型和球面格网拓扑分析的理论成果在全球变化预测相关领域的应用进展。     

基于球谐函数模型的电离层预报

据球谐函数模型系数的特点,采用ARMA(p,q)模型对球谐函数模型系数进行预报,由球谐函数模型计算电离层VTEC。提出了针对某一时刻球谐系数进行预报的方法,相比传统按照时刻顺序的预报,预报时间大大延长,预报精度也有所提高。试验结果表明,相比中高纬度地区,低纬度地区预报精度偏低,同时,一天中不同时刻预报结果有所差别,前半天的预报效果明显好于后半天。     

Analysis of the three-dimensional stellar velocity field using vector spherical functions

We apply vector spherical functions to problems of stellar kinematics. Using these functions allows all of the systematic components in the stellar velocity field to be revealed without being attached to a specific physical model. Comparison of the theoretical decomposition coefficients of the equations for a particular kinematical model with observational data can provide precise information about whether the model is compatible with the observations and can reveal systematic components that are not described by this model. The formalism of vector spherical functions is particularly well suited for analyzing the present and future (e.g., GAIA) catalogs containing all three velocity vector components: the propermotions in both coordinates and the radial velocity. We show that there are systematic components in the proper motions of Hipparcos stars that cannot be interpreted in terms of the linear Ogorodnikov-Milne model. The same result is also confirmed by an analysis of the radial velocities for these stars.     

Study of a thermal drill head for the exploration of subsurface planetary ice layers

The recently discovered water vapor plumes on Saturn's moon Enceladus, the polar caps of planet Mars and the possible ice volcanism on the Jovian satellites call for suitable techniques to explore deep ice layers of the solar system bodies. This paper presents a novel approach to deliver scientific probes into deeper layers of planetary ice. Several existing locomotion concepts and techniques for such probes are presented. After studying the mathematical framework of the melting locomotion process, melting tests with different head forms were done to evaluate the influence of the head's geometry on the melting process. This work led to a novel concept of a thermal drill head, using heat and mechanical drill in combination to penetrate the ice. We compare the performance of such a hybrid concept versus the melting penetration alone by a mathematical model and tests in ice with a prototype of the melting drill head.     

非饱和黄土地基降雨入渗离心模型试验及多物理量联合监测

对非饱和土降雨入渗过程及其致灾机制的深入认识有赖于室内外试验及多物理量联合监测。基于离心机超重力环境下土体响应监测技术,开展了非饱和黄土地基降雨入渗离心模型试验,测试研究了超重力环境对新研制的微型TDR探针及张力计测量的影响规律,并利用TDR、张力计及弯曲元对降雨入渗过程中土体响应进行多物理量联合监测。研究结果表明:在不同离心加速度下微型TDR探针与给定含水率土体实测原始波形重合,说明超重力环境对TDR测试没有影响,含水率的测试误差在2%以内。在离心机加速过程中,张力计所测吸力下降约2.0~2.9 kPa,当离心加速度稳定在40g时,所测吸力在10min内上升并接近常重力下土体初始吸力。在降雨入渗过程中,埋设在同一深度的TDR探针、张力计和弯曲元对湿润锋响应的时间点基本一致,降雨入渗导致土体含水率增加,基质吸力降低,剪切波速降低。这些多物理量监测数据有助于建立非饱和土含水率-吸力-剪切模量之间的关系。