数学模型

In the light of the complex, high-level and non-linear feature of the mathematical model which describe the transport of the coalbed methane, this paper study the fully-implicit solving method of the mathematical model in detail. Based on the complexity of the algebraic equations which are formed eventually, according to the alternating direction implicit difference pattern, this paper use the iterative method and the fully main element Gauss-Jordan eliminating method to solve equations, which is to use the iterative method to determine coefficient matrix and use the fully main element Gauss-Jordan method to solve th linear algebraic equation group, at the same time of studying the solving method of the mathematical model, according to the devising requirement of FORTRAN77 program structure, this paper draw up computer program and form the corresponding computer model, and verify the validity and reliability of the model in theory by operating the model.

重点研究了模型内、外边界及有关参数的处理，针对描述煤层甲烷运移的数学模型是一个复杂、高阶非线性数学模型的特点，详细研究了模型的全隐式求解方法，根据最后形成的代数方程组的复杂性，按交替方向隐式差分格式，采用迭代与全选主元高斯约当消去法相结合的方法求解方程：即确定系数矩阵采用迭代法，求解线性方程组时采用全选主元高斯约当消去法，在研究模型解法的同时按FORTRAN结构化程序设计的要求，编制计算机程序，形成相应的CBMRS计算机模型，并通过模型的运行从理论上证明了模型的正确性与可靠性。

The text"s main works involve to establishing mathematical models and come true models" algorithmization and found blocking simulation models and simulation application.

建立电力系统数学模型的任务是根据系统仿真目的和系统原型与模型的数学相似原则来构造模型的数学描述。

The mathematical model for formulation design and optimization of expanded ammonium nitrate rock explosive is also studied.

文中论述了含C、H、O、N元素的工业炸药配方设计数学模型的建构方法，研究了岩石膨化硝铵炸药配方设计及最优化的数学模型，给出了岩石膨化硝铵炸药配方设计及最优化数学模型的计算机计算结果。

Considering complicated conditions of the coastal dynamic environment, sediment dynamics, and together with the immature sediment itself, the predicted results will be somewhat limited if only with numerical model. So, in order to obtain microcosmic quantitative assessment and macroscopically understanding, numerical model is combined with field observations in the thesis. Firstly, the tidal current, SSC distribution, benthal deposited materials were basically analyzed by field observations. Then, the tidal current, SSC distribution, and the erosion and accumulation of the seabed were simulated with the numerical model of ECOMSED.

但由于海岸动力环境多变，泥沙运动复杂，加之泥沙问题本身的复杂性，如仅用数学模型，其预测结果将受到一定的限制，故本文采用实测调查与数学模型计算相结合的方法，宏观把握，微观量化，在掌握岚山港西突堤工程所在海域潮流、悬沙量分布、表层底质沉积物类型及特点基本态势的基础上，紧扣开发工程可能引起潮流场变化，分析工程后悬沙量、海底冲淤变化及其空间分布，进而建立潮流作用下的泥沙输运数学模型，首先比较好地模拟目前岚山港西突堤工程附近海域的潮流场和悬沙场，然后预测海湾沿岸可能引起的冲淤强度变化和冲淤区域的空间分布。

It's pointed out that soft sensor will play more important role in field bus network control system. According to this, a crude solution was addressed. At last, we point out that soft sensor technology must used to build an information warehouse for the whole enterprise, combined with data fusion, data warehouse, data rectification and other related technologies. The main contributions of this dissertation are as follows: The background, requirement, and application situation of soft sensors are expounded, the theories, methods and skills of soft sensing technology are analyzed, and the fruits and problems in current soft sensor technologies are summarized. Some new methods of soft sensor is proposed: A principal component analysis-based secondary variable selection method are proposed; A new conception which modeling data should have gross error detection is addressed, and then a cluster analysis-based modeling data gross error detection method is given.

本文的主要贡献有：对软测量技术根据实践的要求进行了一定的理论研究，针对具体问题提出了新的方法：讨论了辅助变量选择问题，研究了基于主元分析的辅助变量选择方法，该方法克服了传统方法只能利用数学模型产生的仿真数据进行最优辅助变量选择的缺点，可以根据历史数据进行辅助变量选择；提出了建模数据显著误差侦破的概念，指出传统的显著误差侦破研究的是已知过程数学模型的情况，而建模时数学模型是未知的，但是直接来自现场的数据并不能保证不含显著误差，并用基于聚类分析的方法解决了该问题，该方法利用聚类分析原理，直接面对过程数据，不需以过程模型为基础，在此基础上给出了软测量建模过程中样本数据的处理方法。

The motor's dynamic model, which is generally employed for speed control and parameter estimation applications, is improved for the purpose of improving the parameter estimation accuracy by the assumption that the stator self inductance Ls is identical to the rotor self inductance Lr. The motor's dynamic response to a direct on line start is used to estimate the parameters.

详细给出了遗传算法应用于动态数学模型参数识别问题的一般步骤，在Kron动态数学模型基础上，假定定子自电感Ls和转子自电感Lr相等，利用异步电动机直接空载起动的特性，对异步电动机动态数学模型和简化模型的参数进行了识别，给出了识别参数及有关结果。

Under experimental results of wax deposition and phase change, the mechanical characteristics of fluids flowing through porous media and the relevant physicochemical problem were all summed up as solving the gas-liquid-solid coupling mathematical model. After considering the phase change action between condensate gas and condensate liquid, wax deposition interlarded with interfacial drag force and capillary pressure engendered in the process of phase change. Numerical simulation results proved that the flow resistance increased and the production output decreased owing to wax deposition.

在蜡沉积变相态渗流实验和渗流数学模型的研究基础上，引入蜡沉积数学模型、考虑毛管力和表面张力的相对渗透率模型等，建立了相应的多孔介质中气－液－固变相态多相流－固耦合渗流数学模型，数值模拟结果表明，蜡沉积可使都分区域孔隙减少，流动阻力增大，不考虑蜡沉积会对产量预测明显偏大，蜡沉积可使产量下降。

Therefore, the study is significant both theoretically and practically. As a result, the studying aim of this paper is to establish a practical and complete system for the prediction of ship maneuvering motion, taking into account of the influence of the environmental factors, such as the wind, wave and current, establish a practical and complete system for the prediction of ship maneuvering motion. In this paper, the OpenGL virtual reality simulation technique is introduced into the field of ship maneuver and control, and using the MMG mathematical model, the three dimensional dynamic simulation system of the ship motion is established and good results are achieved. In the process of the system development, firstly, the maneuvering motion equations for ship in the still water are established, based on the MMG module mathematical model and serial experimental result. After compiling the program, the calculation results are compared with the experimental data, the coherence between them validate the mathematical model.

在系统开发过程中，首先采用MMG分离式数学模型及相关的系列化试验结果，建立单桨单舵海洋运输船舶在静水中的船舶操纵运动方程，并编制计算程序，经与试验结果比较，证实了计算结果的正确性；为了解MMG数学模型中模型参数变化对操纵性指数的影响程度，作者在上述已有程序基础上，对有关模型参数进行偏移修正，探讨了相应参数变化后的操纵性指数，对船舶操纵性指数对模型参数的灵敏度进行了详细的分析与探讨，所得结论与工程实际相吻合，具有实际应用价值，并为进一步提高船舶操纵性预报的精度打下了基础；然后，在已有的船舶静水操纵运动模型基础上，考虑双桨双舵的影响，建立了内河双桨双舵船舶的操纵运动模型；最后，综合考虑风浪流作用力的影响，进行了船舶的操纵运动仿真计算。

We will introduce some definitions in the Mathematics Ecology and the mathematical theories and methods. Methods for studding the population ecology or the more ordinary ecology are by setting up the mathematical modelings. We will give the examples of the single population models and the population with interaction models.

简单介绍数学生态学中的一些常用的名词和研究问题所用的数学手段-通过数学建模的方法，将一个实际的生态问题量化为一个数学问题，给出常用的单种群增长的数学模型和具有种间关系的多种群数学模型。

In this paper, the mechanisms of the generation, migration and production for coal seam gas are researched and the geological model for coal seam gas reservoir simulation is presented, according to the theories and methods of coal seam gas geology, petroleum geology and dynamic of fluids through porous media. A three-dimensional, dual-porosity, two-phase, pseudo-steady, non-equilibrium sorption mathematical model is established with the help of petroleum reservoir numerical simulation method. After that, this complex mathematical mode is approximated and solved by finite-difference and fully implicit methods. Coal Seam Gas Reservoir Simulation software in 1. 0 version (CSGRS 1. 0) with Chinese interface of pre-and post-processing function is developed.

本文应用煤层气地质学、石油天然气地质学和渗流力学等学科的理论和方法，研究了煤储层中煤层气的生成、储集、运移和产出机理，概化出了煤层气储层模拟的地质模型；以油气藏数值模拟和数值计算方法为工具，建立了描述三维、双孔隙、非平衡吸附、拟稳态条件下气-水两相流体混相运移规律的煤层气储层模拟的数学模型；详细推导出了该数学模型的全隐式求解方法；并借助计算机技术开发了具有中文操作界面的煤层气储层数值模拟软件CSGRS 1.0，实现了这一复杂数学模型的数值求解。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。