不同插值方法对CORS高程时间序列的影响分析

在CORS站高程时间序列的研究中,当连续缺失较多数据时,插值显得尤为重要。为了较好地解决这个问题,本文尝试采用正交多项式拟合的方法,分别利用正交多项式拟合、拉格朗日和三次样条等插值方法对高程时间序列进行插值,并对不同方法的插值结果进行了分析比较,验证了正交多项式拟合的可行性及有效性。结果表明:在高程时间序列插值中,三次样条插值结果较差;连续缺失3个点及以下时,正交多项式拟合、拉格朗日插值结果均较好,插值效果相当;随着缺失点数量的增加,正交多项式拟合结果要优于另2种方法。     

The Navier–Stokes-α equations revisited

The Navier–Stokes-α equation is a regularised form of the Euler equation that has been employed in representing the sub-grid scales in large-eddy simulations. Determined efforts have been made to place it on a secure deductive foundation. This requires two steps to be completed. The first is fundamental and consists of establishing from the equations governing the fluid flow, a relationship between two velocities called by Holm (Chaos, 2002a, 12, 518) the “filtered” and “unfiltered” velocities. The second consists of the relation between these two velocities. Until now, the preferred route to the first objective has been variational, by varying the action using Hamilton's principle. Soward and Roberts (J. Fluid Mech., 2008, 604, 297) followed that variational route and established the existence of an important but unwelcome term omitted by Holm in his derivation. It is shown here that the Soward and Roberts result may be derived from Euler's equation by a direct approach with considerably greater efficiency. Holm achieved the second objective by making a “Taylor hypothesis”, which we use here to evaluate the unwelcome term missing from his analysis of the first step. The resulting model equations differ from those of Holm's α model, and the attractive mean Kelvin's circulation theorem that follows from his α equations is no longer valid. For that reason, we call the term omitted by Holm unwelcome.     

烟台市新增亿元GDP用地量的分析探讨

新增亿元GDP用地量是衡量土地节约集约利用的重要指标,在分析烟台市新增亿元GDP用地量现状的基础上,确定烟台市新增亿元GDP用地量,并以此为基础对烟台市未来5年合理新增用地量进行预测,为促进土地节约集约利用提供参考。     

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北祁连-河西走廊地区垂直形变与构造应力场关系的初步研究——三维有限元拟合结果分析

根据已知的地震地质资料对北祁连 -河西走廊及相邻区进行了三维有限单元剖分 ,在线弹性条件下 ,拟合了其 2 0a来垂直运动的总体趋势。计算表明 ,北祁连 -河西走廊地区垂直形变的拟合结果 ,与背景应力场的约束形式和变化特征密切相关 ,其中采用构造应力场增强作为加载条件以及稳定地块作为位移约束条件得出的拟合结果与该区域 2 0a来垂直运动的整体分布特点相一致。在此基础上 ,进一步得到其背景应力场增强的量值估算 ,其中SN方向的压力变化为 +0 .11MPa(压为正 ) ,EW方向的压力变化为 +0 .0 4MPa(压为正 ) ,EW方向的压力变化量是SN方向的 3倍左右。此外 ,根据计算得到的 10～ 15km深处剪应力增量Δγxy的分布情况 ,对比中强地震震源分布可以看出 ,剪应力增量与震源在空间分布上有一定的关联性。震源往往分布在剪应力增量变化较剧烈处 ,从而证实了拟合得出的构造应力场具有一定的合理性     

用坡面增量系数进行区域地势评价的尝试--以江西省泰和县为例

选择山地、丘陵、河谷平原等层状地形构造特征突出的江西省泰和县为例,基于Arc/Info和Arcview等GIS软件的空间分析功能,使用25 m×25m的DEM数据源建立了数字坡度模型,并与乡级行政区划图进行叠加分析,计算出以乡(镇)为单位的地表坡面面积增量.进而根据坡地的坡度越陡其地表面积增量越大的原理,将坡面面积增量与其投影面积的比定义为坡面增量系数(Increment Coefficient if Slope Area,ICSA),以ICSA为量化指标,探讨了区域地势评价的方法.     

利用共轭梯度方法的电阻率三维反演若干问题研究

利用共轭梯度方法的电阻率三维反演是近几年才发展起来的 ,尚有诸多问题有待探讨。主要讨论了拉格朗日因子λ、共轭梯度迭代次数对三维反演结果的影响 ,以便获得良好的三维反演效果     

碎屑岩成岩过程中浊沸石形成条件的热力学解释

不同温度和压力条件下，与碎屑岩成岩作用中浊沸石形成有关的两个反应吉布斯自由能增量（△G）的计算结果说明，埋藏成岩条件下斜长石蚀变（斜长石，石英和水反应）形成浊沸石的反应在温度大于36℃的条件下就可以进行（按埋藏深度2000m，正常压力梯度考虑相应压力），而高龄石与方解石反应形成浊沸石（同时有石英和水参与）所需的最低温度为170℃（埋藏深度2000m，正常压力梯度考虑相应压力）；与温度相比，压力对碎屑岩成岩作用中浊沸石的形成影响较小。因而沉积岩成岩过程中形成的浊沸石主要与斜长石蚀变有关，同时也不应将浊沸石一概作为低级变质作用的产物。     

一次地形引起的特大暴雨雨量增幅过程分析

本文对9608号台风倒槽造成的庐山特大暴雨增幅进行了分析，结果表明，庐山的这次特大暴雨不仅与地形抬升作用有关，而且还与地形的冷中心效应有关。     

A Perturbative Treatment of The Co-Orbital Motion

We develop a formalism of the non-singular evaluation of the disturbing function and its derivatives with respect to the canonical variables. We apply this formalism to the case of the perturbed motion of a massless body orbiting the central body (Sun) with a period equal to that of the perturbing (planetary) body. This situation is known as the co-orbital motion, or equivalently, as the 1/1 mean motion commensurability. Jupiter's Trojan asteroids, Earth's co-orbital asteroids (e.g., (3753) Cruithne, (3362) Khufu), Mars' co-orbital asteroids (e.g., (5261) Eureka), and some Jupiter-family comets are examples of the co-orbital bodies in our solar system. Other examples are known in the satellite systems of the giant planets. Unlike the classical expansions of the disturbing function, our formalism is valid for any values of eccentricities and inclinations of the perturbed and perturbing body. The perturbation theory is used to compute the main features of the co-orbital dynamics in three approximations of the general three-body model: the planar-circular, planar-elliptic, and spatial-circular models. We develop a new perturbation scheme, which allows us to treat cases where the classical perturbation treatment fails. We show how the families of the tadpole, horseshoe, retrograde satellite and compound orbits vary with the eccentricity and inclination of the small body, and compute them also for the eccentricity of the perturbing body corresponding to a largely eccentric exoplanet's orbit.This revised version was published online in October 2005 with corrections to the Cover Date.