回顾与展望

数学系创建于1977年。在完成全院各专业的数学教学任务的同时，积极开展了科学研究。在常微分方程、随机微分方程、偏微分方程、生物数学等基础数学和应用数学分支中取得了一批成果，并结合海浪、海流、潮汐、海洋工程、海洋气象、海洋地质、海洋生物及水产科学的研究获得了一些具有实用价值的成果。     

Nonlinear Static Finite Element Stress Analysis of Pipe-in-Pipe Risers

Owing to the complexity of the pipe-in-pipe (PIP) riser system in structure, load and restraint, many problems arise in the structural analysis of the system. This paper presents a new method for nonlinear static finite element stress analysis of the PIP riser system. The finite element (FE) model of the PIP riser system is built via software AutoPIPE 6.1. According to the specialties of a variety of components in the PIP riser system, different elements are used so as to model the system accurately. Allowing for the complication in modeling the effects of seabed restraint, a technique based on the bilinear spring concept is developed to calculate the soil properties. Then, based on a pipeline project, the entire procedure of stress analysis is discussed in detail, including creation of an FE model, processing of input data and analysis of results. A wide range of loading schemes is investigated to ascertain that the stresses remain within the acceptable range of the pipe material strength. Finally, the effects of the location of flanges, the thermal expansion of submarine pipelines and the seabed restraint on stress distribution in the riser and expansion loop are studied, which are valuable for pipeline designers.     

胶州湾泛亚码头疏浚方案优选及悬浮物影响预测

采用有限元分步杂交方法,在已建潮流场的基础上,建立了胶州湾疏浚物悬浮泥沙的二维输运-扩散模型,并应用于胶州湾前湾港区泛亚码头工程疏浚区的疏浚物输运扩散的数值模拟预测。根据预测结果分析了泛亚码头疏浚区施工期间悬浮泥沙对附近海域水环境和生态环境的影响,并对不同的疏浚方案进行了优选。     

东营北部凸起带古冲沟储层分布规律研究

在油田勘探与开发中 ,充分认识古冲沟油气藏的勘探与开发是十分重要和有意义的。本文利用东营北部凸起带的地质、钻井、航磁和地震等资料 ,对古冲沟在地震剖面上的特征和古冲沟储层预测方法等进行了研究与探讨     

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%     

基于非线性测度函数的改进属性识别模型在水质综合评价中的应用

线性测度函数的传统属性识别模型,对水质评价标准随机抽样的评价结果存在较大误差。为增加其对实测样本评价的可信度,提出了基于非线性属性测度函数的改进属性识别模型。均匀随机和正交设计两种抽样的评价试验显示,改进属性识别模型评价结果准确度明显好于传统模型,说明指标的属性测度函数对属性识别模型的综合评价结果有重要影响。太原市地下水水质的综合评价实例说明,由于非线性测度函数比线性测度函数能更好地描述评价指标的实际隶属度,故改进的属性识别模型具有更高的评价可信度,在水质综合评价中具有更广泛的适用性。     

基于非等间距模型的建筑物沉降预测方法研究

该文基于实测资料进行建筑物沉降预测。在灰色模型和泊松曲线模型理论的基础上,引入对非等间距数列进行变换处理的方法,从而建立了非等间距预测模型。结合建筑物沉降监测资料进行分析比较,结果表明,两种预测方法均能较好地反映建筑物的沉降趋势。     

GIS在处置地下管线突发事件中的应用研究——以苏州市地下综合管网应急处置系统为例

随着经济社会的不断发展,城市建设步伐不断加快。近几年,各类地下管线突发事件频发。通过"苏州市地下综合管网应急处置系统"项目的开发和实践,本文试图从总体上论述地下综合管网突发事件的处置过程、应用原理及相关的技术实现,重点阐述了基于"12345"便民服务中心工作平台,在充分利用GIS的网络分析技术的基础上,实现城市地下管网突发事件应急处置的自动化和信息化。     

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.     

植被波谱空间尺度效应及尺度转换方法初步研究

基于遥感图像的地物识别需要大量地物波谱数据的支持,而现有地物波谱库中收集到的同一地物的波谱,由于其测量尺度和方法的差异,波谱也存在很大差异.以冬小麦为例,首先介绍了材料波谱、端元波谱和像元波谱这3种不同尺度波谱的概念,并以实验数据分析了不同测量尺度下波谱的差别,以此说明波谱尺度转换的必要性.然后利用物理模型和统计模型建立不同测量尺度下的波谱转换关系.分别验证了SAILH模型和线性光谱混合模型在波谱转换中的精度.研究表明,在大尺度上采用统计模型,在小尺度上采用非线性的物理模型可以解释不同尺度观测植被波谱之间的差异.