叠加原理

By means of image theory and potential superposition principle,this paper presents the analytic solution of water cresting height and lateral distance from wellbore under steady flow,and optimizes the optimum wellbore placement.

该文利用镜像反映和势的叠加原理，给出底水油藏水平井稳定渗流情况下不同时刻和临界条件下底水脊进高度和水脊面距井轴的侧向距离的解析解，同时结合矿场实例给出实际优化水平井最佳井筒位置，其结果和方法对底水油藏水平井油藏工程设计和理论研究具有一定的指导意义。

Since the multiple scattering should be considered, the scattering problem of many-cylinders is more complicated than single cylinder. By using scattering matrix method to solve the scattering problem of many-cylinders, first we have to express the incident fieldand scattered field by special function（for example, Bessel function and Hankel function）under cylindrical coordinate, then use the addition theorem of special function to get a linear system of equations to relate the incident field coefficients and scattered field coefficients. The incident and scattered field coefficients for every cylinder can be solved from the linear equations by matching electromagnetic boundary condition pointwisely.

单颗圆柱散射体的散射场解析解很早就被解出，而多个圆柱阵列的散射场问题因为涉及到入射光在圆柱与圆柱间的多重散射，故散射行为较单颗圆柱的散射复杂，因此圆柱阵列的多重散射问题需要利用加法定理来处理；散射矩阵法的主要精神即是先用圆柱座标下的特殊函数对平面波和圆柱散射体的内外域电磁场做无穷级数展开，再藉由特殊函数的加法定理将所有圆柱散射体的展开中心移到同一个展开中心，最后可以得到一组连结整个散射系统的入射电磁场系数及散射电磁场系数的线性方程组，将该组线性方程配合电磁场在散射体边界的连续条件，便可分别求出圆柱阵列中各个圆柱体的内部电磁场与外部散射场，再利用线性叠加原理即可求得整个圆柱系统的全域电磁场分布。

In addition, three-dimension scattering characteristics of aplane wave by a cylindrical conductor are described by applying reduced matrix.

应用平面波谱技术将高斯波束展开成平面波序列，然后利用叠加原理及圆柱导体的边界条件推导了基模高斯波束入射单个圆柱导体的二维散射场公式，应用约化矩阵描述了平面波入射单个圆柱导体的三维散射特性。

The vehicle loads are considered as rectangular harmonic moving loads,and the analytical solution of the pavement and layered ground interaction is deduced with Lame decomposition theorem of displacement field and Fourier transform method.

首先，考虑车辆荷载的多轮性质，利用三角级数、Fourier变换及叠加原理等方法推导获得了粘弹性地基上连续配筋混凝土路面在多轮荷载作用下的稳态响应解；另外考虑基底剪切阻尼作用，详细分析了荷载参数、路面参数和地基参数对路面动力响应的影响。

Analytic description of disc diffraction model is obtained using elliptical pits model and Babinet principle.

基于衍射理论，采用更接近光盘实际情况的椭圆型信息符模型并利用光盘的线性叠加原理得到光盘衍射模型的解析表达式，对三种主流盘片的盘片倾斜对循迹系统产生的影响进行定量的计算与分析。

By the theory of complex functions, dynamic propagahon problem on Dugdale model of mode Ⅲ interface crack for nonlinear characters of materials was studied. The general expressions of analytical solutions are obtained by the methods of serf-similar functions. The problems dealt with can be easily transformed into Riemann-Hilbert problems and their closed solutions are attained rather simple by this approach.

通过复变函数论的方法，对材料的非线性特性下的Ⅲ型界面裂纹Dugdale模型的动态扩展问题进行了研究，采用自相似函数的方法可以获得解析解的一般表达式，应用该法还可以很容易将所讨论的问题转化为Riemann-Hilbert问题，并可以相当简单地得到问题的闭合解，利用这些解并采用叠加原理，就可以求得任意复杂问题的解。

Gain the solution of pseudo pressure distribution with the effect of well bore storage and skin by applying the principle of Duhamel's superposition.

利用Duhamel叠加原理考虑井筒储集效应和表皮效应的影响，绘制了不同边界条件下的凝析气藏水平井典型试井曲线，并分析了相关参数对典型曲线的影响。

The stable field problem is discussed in rectangle area with method, which are eigenfunction and superpositionle.

文章结合叠加原理，应用本征函数法研究矩形区域上稳定场问题。

But the equivalent computation of algebraic equation must be performed to get state variables corrections.

但是，这些算法中的大多数是在实时潮流计算的基础上，利用其中间结果和线性系统的叠加原理，直接求解出事故后的状态变量，都需要通过网络方程求解整个网络状态变量的增量，计算量较大，难于满足紧急状态下快速安全性评估的实时性要求，国内外一系列因静态潮流问题引起的大停电事故就是例证。

By use of the method of integral equation, the second kind Fredholm's integral equation was deduced to solve the interaction factors of pile-pile, pile-soil and soil-soil. Using the principle of superposition, the piled raft foundation was calculated. The validity of the proposed method was verified through comparison with solutions obtained using other methods by existing theories of elasticity.

采用积分方程法推导出求解桩－桩、桩－土和土－土间相互作用系数所需要的第二类Fredholm积分方程，利用叠加原理对桩筏基础进行计算分析，通过与常规弹性理论方法计算结果的比较验证了本文方法的正确性。

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