地球磁极倒转的分形混沌研究

地球磁场多次发生南北(正负)磁极位置的变换,这已为大家所公认。但造成这种异常现象的原因,则是迄今未能很好解答的一个难题。应用分形混沌理论对地球磁极倒转进行了分析,认为发生地球磁极倒转时间段在时间轴上具有分形分布的性质;地球磁场系统通过不断与外界交换物质和能量,维持一种空间或时间的有序结构。地球磁场极性的随机倒转具有混沌运动的自逆转特性,混沌理论给地磁极性倒转提出了一个简明的动力机制解释。     

动态非线性滤波模型非线性强度的曲率度量及其应用

基于微分几何的两种曲率——参数影响曲率和固有曲率,给出了定量描述非线性滤波问题的非线性强度的方法,分别采用扩展Kalman滤波方法和Unscented Kalman滤波方法进行了模拟实验。结果验证了这些曲率确实能够度量非线性滤波问题的非线性强度,且能够评估非线性滤波算法的状态估计性能。     

A New Strategy for Solving a Class of Constrained Nonlinear Optimization Problems Related to Weather and Climate Predictability

There are three common types of predictability problemsin weather and climate, which each involve different constrained nonlinearoptimization problems: the lower bound of maximum predictable time, theupper bound of maximum prediction error, and the lower bound of maximumallowable initial error and parameter error. Highly efficient algorithmshave been developed to solve the second optimization problem. And thisoptimization problem can be used in realistic models for weather and climateto study the upper bound of the maximum prediction error. Although afiltering strategy has been adopted to solve the other two problems, directsolutions are very time-consuming even for a very simple model, whichtherefore limits the applicability of these two predictability problems inrealistic models. In this paper, a new strategy is designed to solve theseproblems, involving the use of the existing highly efficient algorithms forthe second predictability problem in particular. Furthermore, a series ofcomparisons between the older filtering strategy and the new method areperformed. It is demonstrated that the new strategy not only outputs thesame results as the old one, but is also more computationally efficient.This would suggest that it is possible to study the predictability problemsassociated with these two nonlinear optimization problems in realisticforecast models of weather or climate.     

基于高光谱技术的黑土地微量金属元素探测方法及地学意义

在土壤中重金属含量较低的情况下,重金属的高光谱特征响应非常微弱,不易构建精确的高光谱直接反演模型.为了解决上述问题,依据土壤化学变量间的理化性质,将重金属富集特征转移到与之相关的化学主量元素上,使重金属微弱的信息得以间接定量反演.文中以海伦市黑土土壤为研究对象,通过主成分分析、 聚类分析确定了主量元素氧化铁(Fe2O3...     

非线性最小二乘参数平差迭代算法

在非线性最小二乘问题现有的3类主要算法－－高斯－牛顿法、阻尼最小二乘法和最小二乘的拟牛顿法的基础上，引入了综合性能更优的非线性规划的SQPM（序列二次规划法）算法，并且为进一步提高SQPM算法迭代的收敛性，对其步长策略进行了改进。改进的SQPM算法成为无需精确计算参数概略值的非线性最小二乘参数平差的实用和有效算法。     

2015年4月25日尼泊尔廓尔喀M_S8.1级地震强地面运动

2015年4月25日尼泊尔廓尔喀地区发生MS8.1级地震,本文分析了加德满都强震台站的强地震动记录特征,其水平向地震动表现为明显的脉冲地震动,脉冲周期约为6.0s,反映了近场地震动的方向性效应;处于深厚沉积层上的加德满都谷地对地震动有一定的放大作用,且主震的场地峰值频率向低频段偏移,出现明显的场地非线性反应;采用随机有限断层方法模拟的空间地震动分布与宏观地震烈度图符合较好,可以为分析宏观震害提供参考;通过与尼泊尔设计反应谱对比,得出在短周期与长周期段,加德满都台站的水平向地震动的反应谱远高于设计反应谱,说明即使严格按照尼泊尔建筑抗震规范设计施工的建筑结构也难以抵御此次地震的破坏。     

深水钢悬链立管疲劳寿命评估分析

在时域内分析深水钢悬链立管在平台运动和波流载荷共同作用下的非线性动力响应;采用雨流计数法处理立管节点应力的时间历程,选用DoE.E型S-N曲线分析立管在单一海况和平台运动联合作用下的疲劳损伤;将各方向含概率分布的疲劳损伤进行叠加,得到立管整体的全方向疲劳损伤及疲劳寿命。平台的运动为六自由度的运动预报数据,波流载荷由某海域实际的波浪统计数据采用Morison公式计算所得。计算结果表明钢悬链立管疲劳寿命的极值点分别位于悬挂点附近和触地点附近,对立管疲劳寿命极值点各方向疲劳损伤分布情况进行了分析。所提方法为钢悬链立管疲劳分析提供了新思路,给出的结论对钢悬链立管设计分析有一定借鉴意义。     

无限水深聚焦波完全非线性数值模拟

基于势流理论提出一种新的高阶边界元方法对无限水深的聚焦波浪进行完全非线性数值模拟.自由水面满足完全非线性边界条件,模拟波浪的非线性效果可以达到更高阶.利用镜像原理,建立一种全新的格林函数应用到无限水深的数值波浪水槽中,以致于两无限深水槽侧壁的积分可以被排除.为了产生相应的入射波和吸收出流波浪,一个由点源组成的造波装置被布置于计算域内,同时人工阻尼层被用来吸引出流波浪,由波浪聚焦的方法得到极限波浪.通过开展线性和完全非线性聚焦波浪的数值实验及与理论解对比,验证本数值模型可以用来模拟无限深水域的极限波浪,且在出流边界没有反射.     

A New Approach to High-Order Boussinesq-Type Equations with Ambient Currents

A new approach to high-order Boussinesq-type equations with ambient currents is presented. The current velocity is assumed to be uniform over depth and of the same magnitude as the shallow water wave celerity. The wave velocity field is expressed in terms of the horizontal and vertical wave velocity components at an arbitrary water depth level. Linear operators are introduced to improve the accuracy of the kinematic condition at the sea bottom. The dynamic and kinematic conditions at the free surface are expressed in terms of wave velocity variables defined directly on the free surface. The new equations provide high accuracy of linear properties as well as nonlinear properties from shallow to deep water, and extend the applicable range of relative water depth in the case of opposing currents.