特征方程

This dissertation makes horizontal well and symmetric multibranch horizontal wells as research object, according to reservoir characteristics and the seepage process of horizontal well, using multidisciplinary knowledges comprehensively including reservoir geology, reservoir seepage theory, point source function, Green function, conformal transformation, partial differential equation and computational mathematics et al, then researches theory and method suitable for describing seepage process and productivlty calculation of horizontal well.

本文以水平井和对称多分支水平井为研究对象，从油气藏的储层特征和水平井的渗流过程出发，综合运用油气藏地质、油气藏渗流理论、点源函数、Green函数、保角变换、偏微分方程及计算数学等多学科知识，研究出适合于描述水平井渗流与产能计算的理论与方法，主要取得了以下成果

To solve this problem, we selected CONGAS condensate oil/gas reservoir evaluation software to establish a triporosity logging response equation based on the triporosity logging response of natural gas. It was used to calculate the gas/oil ratio and movable hydrocarbon density. The calculated oil/gas saturation and gas/oil ratio were crossplotted to obtain a comprehensive logging interpretation chart.

为此，采用CONGAS凝析油气藏解释评价软件，根据三孔隙测井曲线对天然气的响应特征，通过计算三孔隙测井响应方程，计算出地面条件下的气油比和可动油气密度等参数，将计算的油气饱和度与气油比进行交绘，形成综合测井解释图版。

Studying result enunciates that the dynamics characteristic of this machine can be opened out directly by compendious graphics mode and regularized dynamics equation can be established automatically by computer program .

结果表明：使用该方法可以用简明的图形方式直观揭示出机构的动力学特征，动力学方程建立的规则化便于计算机自动生成。

Any high Re number flow over bodies consists of three basic flows: the flow with convection-dominant in all spatial directions, the flow with convection-diffusion competition in all directions and the flow with convection-dominant in part directions and convection-diffusion competition in part directions, which is called the interacting shear flow; the features of the three basic flows are different; their simplest conservation equations, i.e. the Euler equations, Navier-Stokes equations and diffusion parabolized NS equations, have different mathematical characteristics; there is a great disparity in domains of the three basic flows and the domains of NS equations are very small. Therefore, adopting Euler-DPNS-NS equation system to analyze and compute high Re number flows over bodies is a logical approach. There exists a mutual examined-complemented relationship of this approach with the usual one of adopting only NS equations.

主要内容如下：（1）高Re数绕流包含3种基本流动：所有方向对流占优流动、所有方向对流扩散竞争流动和部分方向对流占优部分方向对流扩散竞争流动，3个基本流动的特征彼此不同且在流场中所占领域大小彼此相差悬殊，NS方程区域很小，它们的最简单控制方程组Euler、Navier-Stokes和扩散抛物化NS方程组的数学性质彼此不同，因此利用Euler-DPNS-NS方程组体系分析计算高Re数绕流流动就是一个合乎逻辑的选择，该法与利用单一NS方程组的常用方法可以彼此检验和补充。

To satisfy the requirements of fast producing,low cost manufacture and large thickness preforming in the field of non-resin winding cylinder composite,the equation of retracing cosine curve was deduced based on the section principle.

为使复合材料圆柱壳体预制件适应短周期快速生产、低成本、壳体厚壁成型的要求，基于缠绕区段划分原理推导出端部余弦折回曲线方程，并结合传统纺织理论，推导了余弦折回曲线模型下端部特征参数计算公式。

Then 4 approaches are used for solving semiconductor thermoelectric problems are proponed:(1) solve basic semiconductor equations directly,(2) solve heat transfer equation with the fitting expressions of thermoelectric transport,(3) approximation of relaxation interval time,(4) characteristic temperature of thermoelectric-pile method.

随后，提出了求解半导体热电问题的4种方法：①直接求解半导体方程组②驰豫时间近似法③利用温差电输运系数的拟合式来求解导热方程④热电堆特征温度法。

Based on the gray scale distribution on satellite cloud picture s,the gray levelcooccurrence matrices are dealt with, followed by cloud texture features sampled for identifyingtheir characteristic quantities.

根据卫星云图的灰度分布，计算灰度共生矩阵，然后抽取一组纹理识别特征童，组成卫星云图云自动分类方程，从而实现云图微机自动分类。

The main contents include the kinematic and dynamic characteristics of floating body and concept about large body; the kinematic and dynamic conditions and governing equations for constrained floating body; illumination of simple harmonic by decomposition into diffraction and radiation; introduction of relevant effect forces; the formula of velocity potential in waters with constant depth; the scattering by a vertical cylinder with circular cross section.

简述浮体的运动及动力特征、大尺度物体的概念；受约束浮体的运动学及动力学条件及其控制方程；通过分解为绕射和辐射问题讲解简谐运动及有关的作用力；等水深地形上速度势的表达式；铅垂圆柱产生的散射。

And to the problems of special distribution of underlying assets, this paper analyzes the price movement of the underlying assets from the arrival of information, the market efficiency and the market mechanism which decide the price. It also studies the problem of real option pricing when the underlying assets follow the pure jump Poisson, mixed jump-diffusion Merton and mean-reversion model, and obtains the price formula or partial differential equation to price and hedge the real option.

对实物资产的特殊价值分布问题，本文从决定资产价格的市场机制、信息到达方式及市场效率三方面来分析实物资产的价格变动特征；并重点研究当基本资产遵循纯跳跃Poisson过程、跳跃扩散Merton过程及均值回复过程时的实物期权定价问题，运用复制定价和随机动态规划方法，得到确定实物期权价值和风险对冲策略的偏微分方程。

Analyzing the deformation and failure characters of different backfills, their damage constitutive equations investigated with damage mechanics whose calculating results coincide with experiment results well were proposed.

分析了不同配比充填体变形与破坏特征，用损伤力学建立了4种不同配比充填体损伤本构方程。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失