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Third, applied the variational function to the analysis of the reservoir property variety predication in three dimension, and the last, It is valuable and useful for low permeability gas field development to use the Darcy law and the permeability tensor analysis to describe the Permeability anisotropy.

本文对储层的宏观及微观非均质性统计分析的研究成果，特别是首次应用地质统计学的实验变差函数，量化分析储层属性变量的空间变异性，为储层参数

On the journey, you'll discover how tensor notation relates to vector calculus, how differential geometry is built on intuitive concepts, and how freeduan.com variational calculus leads to field theory.

在旅行时，你将发现tensor表达式与矢量微积分有关怎样，几何学建立直觉概念多么不同啊，和freeduan.com variational微积分怎样导致原野理论。

Finally, combining PDE with Differential Geometry, parametrically representing the surface, tensor based image processing techniques have been proposed, such as edge detection , morphological operation? implicitly representing the surface as the level-set of the higher dimensional function, the variational problems and partial differential equations that define maps onto the given generic surface have been discussed.

本文结合微分几何学，基于曲线坐标系下的微分算子将平面上的图像处理框架推广到曲面上，得到了参数化曲面上的图像处理框架，并给出了边缘检测和形态学运算的算例；在已知给定曲面的隐式表达时，探讨了定义在任意曲面上的偏微分方程，解决了任意曲面上数据场的扩散问题。

In fact, tunnel fire is unsteady and variational because of throttling effect and buoyancy effect.

实际上，在节流效应和浮力效应作用下，隧道火灾是动态变化的。

In order to adapt the variational light intensity, it is necessary to change integration time for optimal exposure.

为了适应光照强度的变化，通常需要改变积分时间来选择合适的曝光量。

Image restoration ; image inpainting ; image completion ; variational method ; partial differential equation; total variation ; texture synthesis

图像复原；图像修补；图像补全；变分方法；偏微分方程；全变分；纹理合成

We have studied the variational pattern of track geometrical form due to wheel/rail forces under the quasi-static for operating of rolling stock, and also have studied the actions on elastic displacements of constraint rail due to the thickness and stiffness of track pad.

由轮轨力所引起的线路几何形态的变化规律；在假定轮轨力不变的情况下，又研究了轨底垫层的厚度和刚度对于约束钢轨弹性位移所起的作用；为确定轮轴的弯曲变形对轮轨关系的影响，同时建立了轮对有限元模型，计算了轮对承载状态所发生的弹性变形。

The ground-state binding energy of an exciton confined in quantum wires and quantum wells in the presence of a uniform electric field has been calculated under the effective-mass approximation using variational approach.

本文采用变分法研究了外加电场下无限深方形量子线中重空穴激子的束缚能，我们用平面波展开的方法求解在电场作用下无限深方形量子线中电子和空穴的基态能和基态波函数及低激发态的能量和波函数，并用所得到的波函数进一步计算激子的基态及低激发态的束缚能，最后计算了激子的Stark能移。

The variational relations of the first internal excited state energy,the excitation energy and the frequency of transition spectral line between the first internal excited state and the ground state of the electron which is strongly coupled with phonon in an asymmetry quantum dot with the transverse and longituainal effective confinement length of quantum dot and the electron-phonon coupling strength were studied by using a linear combination operator and the unitary transformation methods.

采用线性组合算符和幺正变换方法研究非对称量子点中与声子强耦合的电子的第一内部激发态能量、激发能量和第一内部激发态到基态的跃迁谱线频率随量子点的横向和纵向有效受限长度，电子-声子耦合强度的变化关系。

According to the variational characteristics of physical variates in discrete for-mation model,we achieve physical variate description using Walsh function.

根据离散地层模型中物理量变化的特点，本文提出用沃尔什函数描述这些物理量的新方法。

Objective:To explore the feasibility of laparoscopy in diagnosing and treating of abdominal diseases.

目的：探讨腹腔镜用以诊断腹部外科疾病及选择治疗方案的可行性。

The lifetime of nylon 1010 and nylon 1010/POSS composites decreased with increasing temperature.

热重-红外联用分析表明尼龙1010在氮气气氛下的降解产物主要为小分子的低聚物，POSS并不改变尼龙1010降解产物的组成。