中太平洋CP25岩心的矿物、稀土元素及Sr、Nd同位素组成--晚新生代海底火山活动的证据

中太平洋ＣＰ２５岩心沉积物中钙十字沸石、蒙脱石／伊利石比值（Ｍ／Ｉ）、稀土元素含量、铈异常（δＣｅ）、铕异常（δＥｕ）及Ｓｒ、Ｎｄ同位素特征作为海底火山活动的证据,揭示了中太平洋海盆晚新生代以来火山活动和沉积的历史。其结果是,早中新世约２０～１７ＭａＢ．Ｐ．间,火山活动逐渐强烈,在１７ＭａＢ．Ｐ．最强烈,使得沉积物具有高Ｍ／Ｉ和∈Ｎｄ、低δＣｅ和８７Ｓｒ／８６Ｓｒ。１７～１ＭａＢ．Ｐ．发生沉积间断。１ＭａＢ．Ｐ．至现代,火山活动较早中新世减弱     

一类非线性二阶常微分方程解的多重性

考虑一类二阶非线性常微分方程的边值问题（p（t）u′）′＋h（t）f（u）=0，0＜t＜1和u（0）=u（1）=0。通过引入f（s）／s在∞与0处的极限值，并运用打靶法和相应的Sturm比较定理得到解的多重性定理，推广有关文献中的许多重要结果。     

Internal wave eigenmodes and their weak nonlinear resonant interaction in a nonlinearly stratified fluid—A preliminary theoretical and experimental study

A preliminary theoretical and experimental study was conducted on internal wave modes and their weak nonlinear resonant interaction in a nonlinearly stratified fluid. An asymptotical solution of the modes and a dispersion relation of internal waves in a stratified fluid with density profile similar to that in our experiment were obtained theoretically. The resonant-interaction mechanism to 2nd order approximation is also discussed. The resonant interaction of the 3rd and 4th mode internal waves excited by the unstable 1st mode wave is analyzed on the basis of data obtained by conductivity probes. The resonant-interaction condition, i.e., ,k ₁+k ₃+k ₄=0, is examined. It is shown that the resonant instability increases with pycnocline thickness and wave maker driving frequency. This work is supported by the National Natural Science Foundation of China.     

基于强跟踪性能的QEKF组合导航自适应滤波研究

以低成本陆用航姿参考系统（AHRS）/GPS紧耦合系统为研究对象,建立了基于伪距、伪距率、航向角的组合观测数学模型。引入强跟踪滤波（STF）算法,利用渐消因子的作用,增强滤波器对状态快速变化的跟踪能力。同时,针对微惯性器件漂移过大的缺点,采用二阶EKF（QEKF）方法,通过对Hessian矩阵的求解,补偿系统观测方程线性化的二阶截断误差。仿真表明：STQEKF方法可高速准确地逼近系统非线性模型,实现陆地载体导航控制,在传感器精度有限的情况下,使姿态和位置的控制效果较标准EKF分别提高了约8.9%-38.2%和48.7%-54.4%     

Effect of Multipoint Heterogeneity on Nonlinear Transformations for Geological Modeling： Porosity-Permeability Relations Revisited

An analysis of statistical expected values for transformations is performed in this study to quantify the effect of heterogeneity on spatial geological modeling and evaluations. Algebraic transformations are frequently applied to data from logging to allow for the modeling of geological properties. Transformations may be powers, products, and exponential operations which are commonly used in well-known relations (e.g., porosity-permeability transforms). The results of this study show that correct computations must account for residual transformation terms which arise due to lack of independence among heterogeneous geological properties. In the case of an exponential porosity-permeability transform, the values may be positive. This proves that a simple exponential model back-transformed from linear regression underestimates permeability. In the case of transformations involving two or more properties, residual terms may represent the contribution of heterogeneous components which occur when properties vary together, regardless of a pair-wise linear independence. A consequence of power- and product-transform models is that regression equationswithin those transformations need corrections via residual cumulants. A generalization of this result isthat transformations of multivariate spatial attributes require multiple-point random variable relations. This analysis provides practical solutions leading to a methodology for nonlinear modeling using correct back transformations in geology.     

模拟退火算法在控制网平差中的应用

线性最小二乘估计在对非线性函数进行线性近似的过程中会产生模型误差,而一些非线性参数估计方法可能因为函数复杂而难以求导,法方程系数矩阵秩亏或呈病态矩阵时难以求解,非线性迭代解法有时对初始值的选择存在依赖性,不恰当的初始值会导致迭代无法收敛。针对这些问题,引入了模拟退火算法,介绍了该算法的基本原理、计算步骤和收敛性,并以3个控制网平差应用为例,说明该算法具有无需求导求逆,简洁实用,易于编程等优势,并能实现全局优化,获得高精度的平差结果。     

一种新型非线性滤波理论及其应用

研究一种新型的非线性滤波理论,即Unscented卡尔曼滤波（UKF）,同时为了获得更高的计算效率和确保协方差阵的非负定性,研究了平方根UKF。将UKF和平方根UKF应用到星载GPS卫星定轨中,实际算例表明UKF和平方根UKF的性能要优于常用的推广卡尔曼滤波的性能。     

土壤吸湿-湿过程中水力传导度的拟合研究

非饱和含水介质在吸湿和脱湿的不同过程中,水力传导度随介质含水率的变化规律是不同的。本文选取大沽河流域两种代表性砂土,对其吸湿-脱湿两个过程分别进行试验观测,并使用VanGenuchten—Mualem模型对其吸湿-脱湿过程进行水力传导度的拟合。研究结果表明：砂土在吸湿过程的非饱和水力传导度与脱湿过程的非饱和水力传导度大小并不相同,在含水率相同的情况下,吸湿过程的水力传导度要比脱湿过程大,在含水率较低时（小于15％）相差可达1个数量级。     

岩石中的渗透率、流体流动及热液成矿作用

热液成因的固体金属矿床形成过程中都曾拥有一段流动的历史。成矿物质以溶液的形式从矿源地穿过孔隙或断裂达到了现在的栖身之所,在此过程中流体通过的路径决定了它们的走向,而溶液本身也改变了路径的特征。因此,对于此类矿床的研究不能仅仅囿于眼之所见,而应将古流体流动的观念融入其中,并考察它们的跋涉之路。文中总结了近年来国内外在岩石孔隙、断裂介质及与其相关渗透率对热液成矿作用的控制等领域的研究成果和最新进展,对岩石渗透率、渗透率的影响因素、岩石中流体流动的特征等问题进行了阐述,讨论了渗透率对于热液成矿作用深度、成矿规模、矿质沉淀机制等方面的重要影响,藉此在固体金属矿床研究中强化流"体运动"的观念,并促进构造地质学和成矿作用地球化学间一个新研究方向的发展。     

Normative quartz as an indicator of the mass transfer intensity during the postmagmatic alteration of the Botuobinskaya pipe kimberlites (Yakutia)

The intensity of postmagmatic processes in the Botuobinskaya pipe kimberlites was estimated from the calculated content of normative secondary quartz (Q). Several simple algorithms are proposed to calculate the Q content from chemical analyses of kimberlites. Ten groups of altered kimberlites have been recognized from the Q contents. The contents of MgO, some trace elements, and LREE in the groups, the contents of Cr and Ca of crimson garnets, the diamond contents of kimberlites, and the average weight of diamonds decrease as the Q content increases. It is shown that the negative SiO₂–MgO correlation is the most effective indicator of the postmagmatic alteration of kimberlites. As the degree of their secondary alteration increases, the kimberlites transform into an assemblage of quartz and clay minerals enriched in some trace elements and almost completely lacking REE and diamonds.