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.     

Formation Dynamics and Quantitative Prediction of Hydrocarbons of the Superpressure System in the Dongying Sag

Based on the theory of formation dynamics of oil/gas pools, the Dongying sag can be divided into three dynamic systems regarding the accumulation of oil and gas： the superpressure closed system, the semi-closed system and the normal pressure open system. Based on the analysis of genesis of superpressure in the superpressure closed system and the rule of hydrocarbon expulsion, it is found that hydrocarbon generation is related to superpressure, which is the main driving factor of hydrocarbon migration. Micro fractures formed by superpressure are the main channels for hydrocarbon migration. There are three dynamic patterns for hydrocarbon expulsion： free water drainage, hydrocarbon accumulation and drainage through micro fissures. In the superpressure closed system, the oil-driving-water process and oil/gas accumulation were completed in lithologic traps by way of such two dynamic patterns as episodic evolution of superpressure systems and episodic pressure release of faults. The oil-bearing capacity of lithologic traps is intimately related to reservoir-forming dynamic force. Quantitative evaluation of dynamic conditions for pool formation can effectively predict the oil-bearing capability of traps.     

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。     

中国公路泥石流研究

公路泥石流是指发育于公路沿线并对公路桥涵、路基路面及相应防护结构具有冲击毁损和淤埋破坏的病害类型。丰富的物源、具有焚风效应的气象条件以及泥石流沟轴线与区域新构造应力场主压应力方向一致等是形成大型泥石流的宏观背景。将泥石流概化为固、液两相流体,运用两相流理论、泥沙运动力学、Bingham流变方程和Bagnold颗粒相互作用试验结果等,初步建立了泥石流固-液分相流速计算方法、基于泥石流在防治结构表面及泥石流沟岸产生的冲击形迹建立的反求泥石流冲击力计算方法以及泥石流磨蚀力计算方法。开发了速流结构、泥石流隧道及翼型墩汇流结构等10余种防治技术,集成了拦-汇-排等多种综合治理模式。据此撰写了《公路泥石流防治工程设计、施工指南》。实施了60余个防治工程。效果显著。研究成果初步构建了公路泥石流理论及技术体系。     

Income distribution dynamics and cross-region convergence in Europe

This paper presents a continuous version of the model of distribution dynamics to analyse the transition dynamics and implied long-run behaviour of the EU-27 NUTS-2 regions over the period 1995–2003. It departs from previous research in two respects: first, by introducing kernel estimation and three-dimensional stacked conditional density plots as well as highest density regions plots for the visualisation of the transition function, based on Hyndman et al. (J Comput Graph Stat 5(4):315–336, 1996), and second, by combining Getis’ spatial filtering view with kernel estimation to explicitly account for the spatial dimension of the growth process. The results of the analysis indicate a very slow catching-up of the poorest regions with the richer ones, a process of shifting away of a small group of very rich regions, and highlight the importance of geography in understanding regional income distribution dynamics.

TCA2003全站仪监测数据处理新方法

在微震颤状态下,TCA2003智能全站仪的垂直自动补偿器不能正常工作,因此由持续监测过程中的温度变化而引起的仪器竖轴周期性倾斜摆动不能通过自动补偿来改正。本文提出了一种新的非线性坐标转换方法,该方法用于TCA2003变形监测数据处理可以消除竖轴倾斜的影响,提取高精度的变形量,而且适用于大角度的三维坐标转换并且不依赖于初值。     

准噶尔盆地西北缘克-百地区不整合面及其动力学条件

不整合及其性质和强度的确定对理解克拉玛依至百口泉地区构造变形历史和油气聚集规律具有重要意义。根据地震资料研究显示,该区二叠纪至中生代地层中存在多个不整合面,且多为构造运动的反映。其中对克-百地区构造形成具有重要影响的有四期,其一发生在中二叠统下乌尔禾组沉积后,主要表现为冲断掀斜运动,使其前的二叠纪沉积向南东方向掀斜抬升,遭受剥蚀;其二发生在三叠纪末期,对克百断裂上盘大侏罗沟断层至百口泉段的构造有重要影响;其三发生在中侏罗世末,该期构造运动在克百断裂带及其上盘表现最为清楚,以冲断为主,局部地区有褶皱现象;其四发生在早白垩世末期,表现为掀斜运动,褶皱和断裂作用相对较弱。克-百地区不同时期、不同构造部位变形的差异性与构造动力条件密切相关。     

A continuous/discontinuous Galerkin framework for modeling coupled subsurface and surface water flow

We consider conjunctive surface-subsurface flow modeling, where surface water flow is described by the shallow water equations and ground water flow by Richards’ equation for the vadose zone. Coupling between the models is based on the continuity of flux and water pressure. Numerical approximation of the coupled model using the framework of discontinuous Galerkin (DG) methods is formulated. In the subsurface, the local discontinuous Galerkin (LDG) method is used to approximate ground water velocity and hydraulic head; a DG method is also used to approximate surface water velocity and elevation. This approach allows for a weak coupling of the models and the use of different approximating spaces and/or meshes within each regime. A simplified LDG method based on continuous approximations to water head is also described. Numerical results that investigate physical and numerical aspects of surface–subsurface flow modeling are presented. This work was supported by National Science Foundation grant DMS-0411413.