An in situ zircon Hf isotopic,U-Pb age and trace element study of banded granulite xenolith from Hannuoba basalt： Tracking the early evolution of the lower crust in the North China craton

Backscattered electron images, in situ Hf isotopes, U-Pb ages and trace elements of zircons in a banded granulite xenolith from Hannuoba basalt have been studied. The results show that the banded granulite is a sample derived from the early lower crust of the North China craton. It is difficult to explain the petrogenesis of the xenolith with a single process. Abundant information on several processes, however, is contained in the granulite. These processes in-clude the addition of mantle material, crustal remelting, metamorphic differentiation and the delamination of early lower crust. About 80% of zircons studied yield ages of 1842 ±40 Ma, except few ages of 3097-2824 Ma and 2489-2447 Ma. The zircons with ages older than 2447 Ma have high εHf (up to +18.3) and high Hf model age (2.5-2.6 Ga), indicating that the primitive materials of the granulite were derived mainly from a depleted mantle source in late Archean. Most εhf of the zircons with early Proterozoic U-Pb age vary around zero, but two have     

基于实数连续性定理等价的新探讨

实数集关于极限的运算是封闭的 ,这就是实数的连续性 ;实数的连续性理论是构筑极限理论的重要基础 ;实数连续性定理虽然数学表现形式不同 ,但它们都描述了实数的连续性 ,它们彼此是等价的 ,即任意一个定理都是其它定理成立的充要条件 ,另辟蹊径对其等价性进行了新的探讨。     

两阶段资金投入条件下多项目组合中基于项目启动水平的资金分配问题研究

对两阶段资金投入条件下多项目组合中基于项目启动水平的资金分配问题进行了研究.由于已启动项目的资金不能按预算全额投入,因此文中引入了项目启动水平的概念,低于最低启动水平则项目不能启动.假设每个项目的净收益值与资金投入值可表示为与启动水平有关的线性函数,据此对两阶段投资过程分别建立了数学模型,分析认为它们分别属于0/1背包问题和连续背包问题,且都为NP难题.在建立了相关定理及定义的基础上,基于连续松弛条件下的价值密度贪婪准则,分别应用分枝定界算法、动态规划算法得到了该问题的资金分配最优策略.     

二阶反序泛函微分方程解的存在性条件

本文主要讨论一类二阶泛函微分方程Neumann边值问题在上下解反序条件下，解的存在性条件．     

Water in granulites: implications for the nature and evolution of the lower continental crust

The lower continental crust is one of the most important sphere-layers in the deep earth, and is the direct place where the crust-mantle interactions occur. Granulites are the dominated rocks in the lower crust, and have critical implications for the knowledge of the composition, nature and evolution of the deep crust; fluids are important mediums influencing many geochemical, geophysical and geodynamical characteristics of the lower crust, and may also play a fundamental role in the petrogenesis of granulites and the formation of the lower crusts. In this paper, we review recent advances involved with the deep continental crust, granulites and fluids, and some long-standing debates. Combined with the Fourier-transform infrared spectroscopy (FTIR) analysis performed on the mineral assemblages (cpx, opx, plag and grt) in lower crustal granulite xenoliths and terrains (exposed section) from east China, it is suggested that structural water, dominated by OH, in these nominally anhydrous phases may constitute the most important water reservoir in the deep crust. This structual water may help to understand many lower crustal geological processes and phenomena (e.g. seismic activities and electrical conductive anomalies), and influences from these water must be taken into consideration.     

最终破产概率的Lundberg上界及其应用

利用停时和鞅论技巧导出了保险公司在初始盈余为u(u≥0)的条件下的最终破产概率及其Lundberg上界,并结合实例说明它的应用.     

Applying partial correlation method to analyzing the correlation between ionospheric NmF2 and height of isobaric level in the lower atmosphere

On the basis of a multiple linear regression model performed for ionospheric NmF2, partial correlation method is first applied to investigating the relation between NmF2 and h (the height of isobaric level) in the lower atmosphere over Wuhan, China during 1957―2004. The results show that partial correlation method can eliminate the influences of solar and geomagnetic activities as well as the seasonal varia- tion factors and reveal the true correlation between NmF2 and h in the lower atmosphere. A weak posi- tive correlation between NmF2 and h is found in the middle stratosphere. In addition, by comparing the partial correlation coefficients between NmF2 and its influence factors, we find that NmF2 is mainly affected by solar activity and the seasonal variation factors, and weakly affected by geomagnetic ac- tivity, but hardly affected by h in the lower atmosphere. The study suggests that partial correlation method is a helpful tool for investigating the correlation between ionospheric parameter and its influ- ence factors.     

偶圈的Tur(a)n数和Wenger图

设G是一个图，G的Turan数记作ex（n；G），是指阶数为n的不含G作为子图的图的最大边数．根据Erdos在1965年给出的偶圈C2m的Turan数ex（n；C2m）的上界10mn^1＋1/m和Wenger在1991年构造的偶图Hm（q），并由这种图得到的ex（n；C2m）（m=2，3，5）的下界cn^1＋1/m（其中c为一个与n无关的常数），可以知道，当n→＋∞时，ex（n；C2m）=O（n^1＋1/m）（m=2，3，5）．n^1＋1/m就是ex（n；C2m）的准确阶．给出了Wenger图Hm（q）的一些一般性质，并分别构造了Hm（q）中长为8的圈（m≥4）和Hm（q）中长为12的圈（m≥6），从而证明了不可能由图Hm（q）得到ex（n；C2m）的所有准确阶．     

低渗透储层成岩储集相及储集空间演化模式

以砂西油田古近系下干柴沟组下段（E3^1）为例,综合应用取心井的岩石铸体薄片、图像分析、扫描电镜、电子探针能谱、阴极发光、粘土矿物X衍射分析、镜质体反射率等实验测试资料,对E3^1储层的成岩作用、成岩演化序列和成岩阶段划分方法进行了研究,分析了低渗透储层成岩作用对储集物性的影响,详细阐述了低渗透储层中各类成岩储集相的特征及其形成机制,并探讨了其储集空间类型及演化模式。研究结果表明,本区储层砂岩较低渗透率的主要成因是成岩期各种自生矿物的充填和胶结作用。根据成岩作用及其特有的储集空间组合,可将E3^1储层划分为4种成岩储集相类型,即不稳定组分中强溶解次生孔隙成岩储集相（A相）、中等胶结中强压实残余粒间孔成岩储集相（B相）、碳酸盐强胶结成岩储集相（C相）和早期硬石膏强胶结成岩储集相（D相）,其中A类储集相的储集性能最好,D类最差,为差储层或非储层。     

高阶微分方程的特征值估计

运用试验函数和Rayleigh定理得到了一个基本不等式，证明了三个引理。建立了用前n个特征值来估计第n 1个特征值的上界的不等式，其估计系数与区间的几何度量无关，其结果在物理学和力学中应用广泛。