高陡山区岩体移动分析的Fuzzy数学模型

本文利用 Fuzzy数学理论 ,针对高陡山区地下房柱法采矿所引起的岩体移动变形问题 ,建立了具体的数学模型和预测分析方法 .通过对工程实例的计算分析 ,表明本文所建立的数学模型和分析方法适用于工程实际     

待钻井处钻前油层压力预测的数学模型及求解

根据所研究问题的特点,将地下三相流体假设为单相流体,再利用渗流理论建立了确定地下流体压力的数学模型,并讨论了数值求解方法.当钻井前准备要采用某一注采方案时,利用此数学模型可以求得待钻井处各油层流体压力在不同时刻的值,这为评价该注采方案的优劣及进一步确定最优注采方案提供了科学依据.最后利用此模型对实际问题进行了模拟计算,验证了模型的正确性和计算的可靠性.     

灰色-模糊系统(GFS)方法用于预测开挖引起的山体失稳

针对山区复杂地形条件下工程开挖实际情况,利用模糊数学和灰色系统理论建立了预测山区地下开挖引起岩体及自然坡失稳的数学模型,并对具体矿山工程中岩体移动和自然坡失稳问题进行了计算和分析.提出了山区复杂地形条件下地下安全开采技术方案.     

对盐湖地下晶间卤水的渠道法集卤采过程的数学模拟

本文首先建立了盐湖地下晶间卤水的渠道集卤采卤过程的数学模型，然后根据有关实际数据，对该模型作了合理简化，并了简述了模型的数值计算方法以及计算结果。卤水水位的数值模拟值与实验观测值之间的相对误差小于１０％。     

油藏储油空间体积的近似公式

在石油勘探与开发中,估计油藏边界及其储量具有极其重要的意义。为此,我们提出了用于估计油藏储油空间体积的近似公式。 由于油在地下渗流的复杂性,所以必须做一定的简化假设,以便建立适当的数学模型。假设油藏为均匀介质、各向同性、均匀厚度、微压缩流体、地层参数已知。     

平面非牛顿流体在m＞1时的径向流动

讨论平面非牛顿流体(例如高粘度高含腊量的地下石油)在m>1时的径向流动.作者首先给出了问题的数学模型,它是退缩的自由边值问题.然后得到了该问题的近似问题古典解的存在唯一性.当油井边的压力梯度是常值函数时,该问题古典解的存在唯一性也得到了.     

Fuzzy概率理论用于研究采矿引起的岩体移动

本文运用 Fuzzy 概率理论,对矿山岩体力学中的岩体移动问题,建立了相应的Fuzzy 数学模型,并利用该模型对地下采矿导致的岩体垂直移动、水平移动、水平变形、岩体倾斜和曲率变化等指标进行了定量计算.对于山区开采导致的岩体移动问题也进行了初步探讨.最后还对几个矿山工程实例进行了计算分析,结果表明,本文提出的新方法可用于分析采矿导致的岩体移动问题.     

储油罐横向偏转变位后罐容表的重新标定算法

由于地基变形等原因,地下储油罐使用一段时间后罐体的变位会导致原标定的罐容表失效。本文针对常用储油罐的几何形状,用微元法推导了根据罐内油位高度计算储油量的公式,给出了储油罐发生横向偏转时探针测量的油位高度与罐中油位实际高度的关系,建立了储油罐变位后储油量与变位参数和探针测量油位高度关系的数学模型,为识别罐体位置的变位和罐容表重新标定提供理论依据,给出了罐容表的初始标定与变位后的重新标定算法。     

竞争不可逆化学反应过程工艺特征数学模型的建立

讨论提出竞争不可逆反应过程工艺方案和建立过程工艺数学模型,包括反应物完全转化条件下主反应的选择率数学模型,过程稳定态数学模型,特定极限分离边界数学模型和极值边际数学模型.     

吐鲁番-哈密盆地葡萄树生长模拟模型研究

建立了葡萄树生长水分数学模型、葡萄树生长碳氮数学模型、葡萄树生长根和叶数学模型,为了检验和应用此数学模型计算吐鲁番-哈密盆地葡萄树需水量,采用数值模拟的方法求了数学模型的近似解,用MATLAB软件得出精度较高的数值解,并用图形的方式将解的形态显示出来.     

Mathematical Modeling of Gas Hydrate Dissociation in Porous Medium Taking into Account Ice and Salinity

Doklady Mathematics - This work is devoted to the mathematical modeling of the dissociation of gas hydrates in a porous medium. Numerical methods are developed for solving problems of underground...     

A clone-based graphical modeler and mathematical model generator for optimal production planning in process industries

This paper outlines a visually interactive graphical modeling approach for process type production systems, with hidden generation of complex optimization models for production planning. The proposed system lets the users build a graphical model of the production system with one-to-one clones of its production units through its interactive visual interface, accepts production-specific data for its components, and finally, internally generates and solves its mathematical programming model without any interaction from the user. This “clone-based” modeling approach allows the continued use of optimization models with minimal mathematical programming understanding, as generation of mathematical model by clones is hidden and automatic, therefore maintenance-free: Updating graphical production system models is enough for renewing internal optimization models. The concept is demonstrated in this paper with a linear programming prototype developed for a petroleum refinery.     

Two-dimensional filtration problem for solutions in a nonhomogeneous porous medium

We present a mathematical model of underground leaching by solutions filtering through a porous medium. The model describes the motion of solutions from injection to extraction boreholes, as well as dissolution and secondary deposition in reduced-pH regions. A numerical algorithm has been developed for solving the problem on a plane in the general case of a homogeneous medium that contains regions with various nonhomogeneities. The algorithm combines triangulation of the region with the finite element method. The model also allows slow variation over time of some of the process parameters, such as porosity and the filtration coefficient. Numerical results are reported for various cases. The model qualitatively describes the main regularities of underground leaching and can be used to study and understand the detailed dynamics of these processes. The model also fills gaps in geological prospecting data, and extraction curves constructed for different wells can be applied to determine the approximate location of a particular nonhomogeneity. Mathematical modeling can help to optimize mineral extraction by underground leaching. Translated from Prikladnaya Matematika i Informatika, No. 29, pp. 29–55, 2008.     

数学建模是开启数学大门的金钥匙

作为大学《数学建模》课程的导言,对什么是数学建模,以及数学建模在推动数学学科发展及培养创新型人才方面的重要性,作充分的阐述.同时,针对数学建模的特点,对数学建模课程的教学,提出一些必要的建议.     

Faces of mathematical modeling

In this paper I will discuss and exemplify my perspectives on how to teach mathematical modeling, as well as discuss quite different faces of mathematical modeling. The field of mathematical modeling is so enormous and vastly outspread and just not possible to comprehend in one single paper; or in one single book, or even in one single book shelf. Nevertheless, I have found that the more I can illuminate some of the various interpretations and perceptions of mathematical modeling which exists in the world around us when introducing and starting a course in mathematical modeling, the more benefit I will have during the course when discussing the need and purpose of mathematical modeling with the students. The fact that only some models fit within the practical teaching and assessing of a course in mathematical modeling, does not exclude the importance to illustrate that the world of today cannot go on without mathematical modeling. Students are nevertheless much more charmed with some models of reality than others.     

深入开展数学建模活动，培养学生的综合应用素质

数学建模时大学生综合应用素质培养的一种有效途径。本文首先分析数学建模在大学生实践创新能力和综合应用素质培养中的作用,在此基础上从数学建模的数学理念更新、数学模式和教学内容设计,教学方法运用等多个方面,研究了以培养学生综合应用素质为牵引的多焊接、全方位的数学建模教学模式,提出了一些创新性的实践做法,为教学建模数学与组织竞赛活动的开展提供参考。     

Pre-service Teachers’ Developing Conceptions about the Nature and Pedagogy of Mathematical Modeling in the Context of a Mathematical Modeling Course

Adopting a multitiered design-based research perspective, this study examines pre-service secondary mathematics teachers’ developing conceptions about (a) the nature of mathematical modeling in simulations of “real life” problem solving, and (b) pedagogical principles and strategies needed to teach mathematics through modeling. Unlike other studies that have focused on single-topic and lesson-sized research sites, a course-sized research site was used in this study. Having been through several iterations over three teaching semesters, the 15-week long course was implemented with 25 pre-service secondary mathematics teachers. Findings revealed that pre-service teachers developed ideas about the nature of mathematical modeling involving what mathematical modeling is, the relationship between mathematical modeling and meaningful understanding, and the nature of mathematical modeling tasks. They also realized the changing roles of teachers during modeling implementations and diversity in students’ ways of thinking. The researchers’ conceptual development, on the other hand, involved realizing the critical aspect of the “teacher role” played by the instructor during modeling implementations, and the need for more experience of modeling implementations for pre-service teachers.     

社区大学数学建模教学及其评估

20世纪以来 ,数学的应用已深入到所有重要学科 ,数学建模也以其广泛的参与性促进了科学技术与经济建设的紧密结合 .我国普通高校数学建模竞赛活动发展迅速 ,而社区大学数学建模教学进展缓慢 .1 996年 ,在三维教学模式研究的基础上 ,丰台职大开设了数学建模新课 ,为北京市社区大学数学建模教学及其评估提供了成功的案例     

陆上油田开发投资规模方法研究

本介绍一种计算油田开发经济投资规模的方法，中从技术和经济角度出发，用聚类分析方法对油田进行分类，利用DESA有效性原理，建立投资规模界限值数学模型，采用数学模型研究石油勘探开发经济投资规模，为投资决策提供定量依据。