精确解

Theequivalence percolation resistance law is accurate enough to be used in productivitycalculation of horizontal well pattern.(3) Productivity of mixed well pattern of horizontalwell or multilateral horizontal well and vertical well is constructed and formulae are simpleenough to be used in the oilfield. The patterns include 5-spot pattern,7-spot pattern and9-spot pattern.(4) Productivity formula of united rectangular well pattern of horizontaland vertical wells is constructed. By this formula, the calculation results show that fora horizontal well length, there is a shape factor at which the productivity of the patternis biggest. So optimum method of the well pattern is proposed.(5) A new concept ofdimensionless length of horizontal well is advanced and the relationship of optimum shapefactor of the rectangular well pattern against dimensionless length of horizontal well ispresented. The influences of length of the horizontal well, area of the well pattern unitand the thickness of reservior are concerned.

利用该公式计算表明：当水平井长度一定时，存在一个最优井网形状，使得水平井的产能最大，在此基础上提出了水平井井网的优化方法；(5)提出了水平井无因次长度的概念，给出了联合井网最优井网形状因子与水平井无因次长度的关系式，并对水平井长度、油层厚度及井网面积对产能的影响进行了分析；(6)推导出了一无限水平井井排在XY 平面内势的解析解，为不同水平井整体开发井网或水平井和直井井网整体开发渗流理论的研究奠定了理论基础；(7)建立了交错式水平井与直井整体开发渗流理论，给出了拟三维条件下井网产能的精确解析解及该井网最优井网形状因子与水平井无因次长度的关系，并对产能的影响因素进行了分析；(8)建立了水平井与水平井正排列井网、交错排列井网条件下渗流理论及井网产能在拟三维条件下的精确解析解，给出了交错井网条件下最优井网形状因子与水平井无因次长度的关系，通过与正方形井网对比，说明优化井网可大幅度提高开采效果；(9)建立了分支水平井和直井面积井网水油两相非活塞驱替条件下渗流问题的解析解，给出了见水前后无因次产量与无因次时间的关系式以及见水时间等。

Studies show that the AM method and the new analytical expression are reliable and economical physical methods for studying full vibrational energy spectra and molecular dissociation energies of diatomic electronic systems theoretically, which are particularly useful for those diatomic systems whose high-lying vibrational energies may not be available.

结果表明，AM方法和新建立的离解能解析式相结合的理论方法对研究双原子分子及离子的完全振动能谱和离解能是行之有效的、简单经济的物理方法，为实验技术难以精确测量其高激发振动能级或离解能的双原子分子或离子体系提供了获得精确的完全振动能谱和体系离解能的一种理论新方法。

To more briefly calculate the accurate solution of the hangingpoint motion parameters of the beampumping unit,the walking beam's swing equation according to the geometry relationship and movement characteristic of the four pitmen mechanism in the beampumping unit is found.

根据游梁式抽油机四连杆机构的几何关系和运动特点，建立了游梁的摆动方程，并由该方程得出了游梁摆角变化规律以及悬点运动的位移、速度和加速度的计算公式，从而给出了求游梁式抽油机悬点运动参数精确解的一种计算方法。

Then we find out the exact bounded wave solutions for WBK equation in chapter four. According to the theory of dynamical system, we investigate the explicit exact traveling wave solutions of nonlinear wave equations by using the characters of the closed trajectory connecting equilibrium points and the relations between obits and traveling waves.

在对系统进行定性分析、了解了系统所有可能解的大致形态的基础上，论文第四章给出了WBK方程的精确有界解，应用动力系统理论，利用连接平衡点的闭轨线的特点结合轨线与行波之间的对应关系来研究非线性波方程行波解的有界性及精确的显式表达式。

This thesis presents the studies of U-shape gantry structure of container gantry crane, and dynamic simulation and fatigue life estimation of its rigid anti-sway. The main contends are as follows: Supposed that trolley frame is composed of spring structure, due to larger trolley gauge of U-shape gantry structure. For the gantry crane, a series spring dynamic vibrating model with three masses, three freedoms of degrees is built in this thesis and vibrating calculus equations are precisely resolved by mode analyses rule.

本文研究集装箱门式起重机U型门架结构及其刚性减摇系统的动态仿真和疲劳寿命估算，主要内容如下：由于U型门架结构小车轨距较大，本文建立了考虑小车架为弹性结构时门式起重机的三质量三自由度串联弹性动力学振动模型，用模态分析法求解振动系统微分方程组的数值精确解。

The two dimensional accurate solution is obtained on plane strain assumption, the numerical results of strain energy release rate and crack tip energy release rate are presented.

在平面应变假设下，给出其二维精确解，并提供了机械应变能释放率和裂尖能量释放率等数值结果。

Nonlinear reaction equationes based on physics are studied with generalized conditional sym metry method. As a result, some exact solutions are given.

本文利用广义条件对称方法研究分析了具有物理背景的非线性反应扩散方程，并相应得到了一些精确解。

Finally, some examples of two-dimensional and three-dimensional bodies are given, at the same time the Richardson's extrapolations of these numerical results are calculated.

最后，给出了一些二维，三维的任意导体的数值结果，并且给出了这些数值结果的Richardson外推值，计算结果与文献以及精确解都吻合的比较好，从而说明了该方法的有效性和准确性。

The research shows clearly that the application of coastal multisource geospatial platform has changed the traditional coastal geomorphological science dramatically from its research scope, fields and methods, however, as made clear, extracting accurate information from remotely sensed data and GIS databases for coastal geomorphological applications is a nontrivial challenge that requires the combined knowledge and skills of information scientists and geomorphologists.

通过上述方法体系与应用研究说明，以GIS为核心建立的多源地理空间信息平台使传统海岸海洋地貌研究的范围、内容及方法都发生了重大变化，但多源数据信息的精确解译和成功应用必须同时具有空间信息学和地貌学专家知识。

The results indicate that it is available and sSatisfied to identify the mode parameters of the chimney by the enviromental random exc it ing method.

结果表明，对于烟囱这一类难于由理论计算得到精确解的结构，用环境随机激振方法来识别其模态参数是可行的，并能得到满意的结果。

Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势，并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。