Simulation and application of three-dimensional migration-accumulation of oil resources

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《线性代数》课程教学改革探讨

１　引　言线性代数是代数学中最初等的部分,也是代数学中应用最广泛的部分之一．实际上,它广泛应用于微分方程、概率统计、离散数学、现代控制理论等数学分支．而且,它的知识已经渗透到自然科学的其它学科、工程技术、经济与社会科学等领域．近年来,随着各学科量化研究的深入及电子计算机的普遍应用,它们对线性代数的应用需求日益增长．所以,线性代数已经成为高等学校工科专业、经济管理专业等非数学专业的重要的数学基础课程．但是,目前非数学专业《线性代数》课程教学中存在一些不可忽视的问题．首先,从总体上讲,所使用的教材停…     

三氯化铁催化的—锅法合成3,4-二氢嘧啶-2-酮

六水合三氯化铁催化下,β-酮酸酯、芳香醛、脲(1:1:1.5)在无水乙醇中进行环化缩合反应,合成了3,4-二氢嘧啶-2-酮衍生物,改进了Biginelli用盐酸为催化剂的一锅法反应,缩短了反应时间,操作简便,产率高达80％～90％,且Fe~(3 )对环境友好。     

微波促进合成苝单酰亚胺类化合物

以3,4;9,10-苝四甲酸酐为原料,经微波促进反应探讨了反应底物用量、反应时间和反应温度等条件对反应收率的影响,合成了系列苝单酰亚胺类化合物,其中2,6-二异丙基苯胺修饰的苝单酰亚胺化合物N-2’,6’-二异丙基苯胺基-3,4-苝单酰亚胺(PMI-1)在30min的反应时间内,分离收率可达64.1%.     

Characteristic fractional step finite difference method for nonlinear section coupled system

For the section coupled system of multilayer dynamics of fluids in porous media, a parallel scheme modified by the characteristic finite difference fractional steps is proposed for a complete point set consisting of coarse and fine partitions. Some tech- niques, such as calculus of variations, energy method, twofold-quadratic interpolation of product type, multiplicative commutation law of difference operators, decomposition of high order difference operators, and prior estimates, are used in theoretical analysis. Optimal order estimates in 12 norm are derived to show accuracy of the second order approximation solutions. These methods have been used to simulate the problems of migration-accumulation of oil resources.     

局部坐标有限分析法解材料非线性结构问题

本文首次将有限分析法应用于分析固体力学中的弹塑性问题,导出了二维全量理论弹塑性边值问题的计算格式。采用了局部坐标变换,使该方法能有效地用于求解某些几何形状较复杂的平面问题。算例表明,这一方法解非线性问题是有效的。     

半正定两相驱动问题的多步有限体积方法及其理论分析

考虑多维半正定两相驱动方程的初边值问题,在非结构网格上构造多步的迎风有限体积格式,利用微分方程先验估计理论证明了格式的离散模形式的误差估计为D(△t~2 h),其中△t和h分别表示时空步长．数值算例进一步验证了格式的有效性．     

提高重整化群精度的一个尝试

以热逾渗分析散粒体导热率时,利用重整化群方法改变粗视化程度来定量地获得导热率的变化。实践表明这只有设法提高重整化群的精度才会有较好的结果。本文以逾渗转变为例,针对b=2的相关尺度变化方式,分别对二维和三维实空间的重整化变换进行了修正,导出了相应的重整化方程。计算精度有明显提高,计算结果与实验值更接近。     

GENERALIZED OPERATORS AND P（φ）2 QUANTUM FIELDS

In this paper by Sobolev imbedding theorem and characterization theorem of generalized operators the existence of P(φ)2 quantum fields as generalized operators is obtained and a rigorous mathematical interpretation of renormalization procedure is given under white noise theory.     

Transport properties in La0.7-xGdxSr0.3MnO3 system

The influence of Gd doping at La-site on the electrical transport properties and the colossal magnetoresistance of La0.7-xGdxSr0.3MnO3 (x = 0.00, 0.10, 0.15, 0.20, 0.30, 0.40, 0.50, 0.60, and 0.70) is studied. The experimental results indicate that the transport properties exhibit abnormal behavior under high doping condition. For x = 0.50, we find that a transition from metal to insulator occurs after the occurrence of insulator-metal transition near Tc, which seldom occurs in ABO3 structure. For samples x = 0.60 and 0.70, it exhibits insulator behavior far above Tc. These abnormal behaviors are attributed to different magnetic background, i.e. the system undergoes a transition from long range ferromagnetic order to the cluster-spin glass state and further to antiferromagnetic order.