分解者亚系统能量流动的数学分析

依据房室模型和微分方程理论,对绿色农业生态系统中的分解者亚系统的能量流动过程进行了数学分析,建立了数学模型。稳定性分析结果表明,在绿色农业生态系统中,分解者亚系统能量流动过程中的平衡态是渐进稳定的。即该平衡态的稳定性机制为负反馈机制,该系统具有抵抗干扰和保持系统平衡态的自我调节能力,以确保能量流动的正常进行。最后,通过解微分方程,给出了该系统能量流动的数学模拟公式。     

在工科数学教学中加强数学应用意识教学的思考

阐述了加强数学应用意识教学的重要性,教师是加强数学应用意识教学的关键,加强数学应用意识教学应该适当增加数学实验与数学建模内容,在数学教学中加强对人的发展作用。     

Synthesis and Characterization of Porphyrin-Trisbenzimidazole Dinucleating Ligand and Its Heterodinuclear Complex as CcO Active Site Model

A new dinucleating ligand having two metal-binding sites has been designed and synthesized as model ligand for Cytochrome c Oxidase. The corresponding heterodi-nuclear complex, as an active site model of Cytochrome c Oxidase, consisting of a porphyrinatocobalt compound covalently linked with a copper derivative of tris(2-benzimidazylmethyl) amine bearing three benzimidazole ligands for copper was synthesized and spectroscopically characterized. The spectra data suggest that there are interactions between the cobalt and copper coordination units. The cobalt is coordinated to four central nitrogens of the porphyrin and the copper has pentaco-ordinate geometry with the four tertiary amine nitrogens and a chloride.     

梯级水库联合理想补偿调节研究

针对梯级水库群防洪调度问题，建立了一个梯级联合优化调度模型，并对此模型提出了一种联合理想补偿调节方式，通过对白山和丰满水库联合调度计算可得到良好的效果。     

A model for assessing effects of climate change on runoff in China

A model is established for assessing the effects of climate change on runoff in China based on the land surface parameterization scheme variable infiltration capacity (VIC). The entire area of China is represented by 2604 cells with a resolution of 60 km×60 km for each cell. Forcing data, soil and vegetation parameters needed by the VIC model for the entire area of China are prepared. Daily forcing data, which are obtained from 740 stations between 1980 and 1990, are interpolated to the 60 km×60 km grid system. The VIC model is run on every grid cell over the whole China, and a routing scheme is run offline with daily input of surface runoff and drainage from the VIC to get hydrograph at basin outlets. The spatial patterns of simulated runoff and mean annual precipitation are consistent very well. The results of monthly streamflow simulations over the Huaihe and Weihe River basins indicate that there is a good agreement between the observed and simulated values, and also initially indicate the rationality and feasibility of the evaluation model.     

A new method to dynamically simulate groundwater table in land surface model VIC

Soil moisture plays an important role in water and energy balance in land-atmospheric interaction, but is impacted directly by the groundwater table. Dynamic variation of the groundwater table can be described mathematically by a moving boundary problem. In this paper, the moving boundary problem is reduced to a fixed boundary problem through a coordinate transformation. A new model of groundwater table simulation is developed using the mass-lumped finite element method and is coupled with the land surface model of Variable Infiltration Capacity (VIC). The simulation results show that the new model not only can simulate the groundwater table dynamically, but also can evade the choice of water table depth scale in computation with a low computation cost.     

Lorenz系统混沌解序列可预报性的统计检验

利用Lorenz简化热对流模式产生了吸引子区域内的混沌解序列，对截取的序列进行了乎稳性和正态性检验．按照3种情形分别选取样本，并应用统计预报中的ARMA模型、多元线性回归模型、多项式回归模型和均值生成函数模型等作出项报。比较分析表明：所选取方程组产生的混池解序列，呈现非周期、非乎稳、非正态特性等极不规则的分布，导致几种统计模型对于两个不稳定平衡状态间的不确定的突变情形基本失去了预报能力，系统行为几乎无法预测，其根本原因在于系统的混沌特性。但在某一不稳定平衡状态内，序列段呈现振幅不断放大的准周期振荡，具有一定的规律性，几种统计模型预报的效果较好，说明在应用统计方法进行预报的前提下，系统行为存在着局部时段的有限的可预报性。     

低渗透油藏不稳定渗流规律的研究

用无因次分析法对低渗透岩心的实验数据进行了分析 ,得出新的渗流规律。具体表述为 :低于亚临界雷诺数 (Rem=8.5× 10 -5)为非达西渗流 ,其运动方程为v =c(dp/dl) 3 ;高于亚临界雷诺数为达西渗流。从微观角度出发 ,应用边界层理论进一步证实了这一渗流规律。运用新的运动方程 ,建立了低渗透油藏不稳定渗流的数学模型。根据拉氏变换和Stehfest数值反演 ,求得了有限半径井的实空间近似解 ,并应用数值分析方法验证了近似解析方法的可行性。对低渗透油藏的压力动态特征以及边界对压力动态影响的分析结果表明 ,低渗透油层试井曲线的压力动态特征为 :短时曲线与达西渗流模型相似 ,而长时曲线则受到非达西渗流的影响。对于恒压边界油藏 ,压力趋于稳定的时间比达西渗流要迟一些 ;在无限大地层中 ,其导数曲线是一簇平行的倾斜线。对于同一区域低渗透油层试井曲线 ,其导数曲线出现“阶跃”的时间较迟的井区 ,流动系数比较好 ;反之则较差     

水力压裂中多裂缝间相互干扰力学分析

将复变函数理论与位错理论相结合 ,在考虑了裂缝表面有流体压力作用且裂缝间存在相互干扰的情况下 ,建立了无限大介质中裂尖应力强度因子的数学模型 ,利用该模型可对水力压裂中多裂缝间的相互干扰进行力学分析。假设裂缝沿着垂直于局部最大周向拉应力方向扩展 ,应用数值方法对所建立的数学模型求解 ,得到裂尖的应力强度因子及转角。数值计算结果表明 ,裂缝间存在相互干扰时所产生的剪切应力强度因子远远小于法向应力强度因子。当两个裂缝尖端垂向距离为零时 ,法向应力强度因子达到最大值。两个裂缝尖端没交叠之前裂缝基本沿着轴线扩展 ;当尖端交叠面积较小时 ,两裂尖偏离自己的轴线向避开对方的方向扩展 ;当尖端交叠面积较大时 ,两裂缝向靠拢对方的方向扩展 ,最终将贯通在一起     

课件环境下教学模型的研究

本文介绍了应用系统分析理论构建的课件环境下的教学模型。该模型通过评估法能有效地掌握学生的学习状况，从而调整教学策略。激发学生的学习热情，提高教学质量。