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By numerical simulation, it is found that the stable borehole shape is an ellipse with a tip.

数值模拟计算发现稳定的井眼形状是一带尖点的椭圆形。

The numerical result demonstrates the Born Approximation can be effectively used for 3D imaging for borehole-ground electrical method. It also demonstrates that the method can be used as the basis for fast 3D inversion in reservoir monitoring application and in water injection exploration.

数值计算的结果表明Born近似是一种有效的井地电法三维快速反演方法，同时也说明井地电法监测油水前驱和储层边界预测的观测数据可以用该方法进行快速三维反演成像。

Easter′s scheme, which is the modified version of Bott′s forward in time and positive definite numerical advection scheme, is described in this paper.

Easter的方案是把水汽的通量方程和连续方程联立求解，在计算中不会出现水汽负值，而且稳定性好。

The numerical experiments demonstrated that, on the case that only a half of the information of the whole microstructure is used, FDHMM can effectively simulate the transient unsaturated water flow in the specific soils, FDHMM with the Dirichlet boundary condition for cell problem can offer a big saving in the computational cost.

数值实验表明：在仅使用一半微观信息的情况下，FDHMM能够有效地模拟特定土壤中的非稳定非饱和水流问题，单胞问题使用Dirichlet边界条件的FDHMM能大幅度地节省计算费用。

The most-used numerical method for solving direct boundary integral equation is collocation method, which is simple and faster. Seldom have been used the Galerkin scheme in this case.

一般来说，直接边界积分方程可以很方便的用配点法求解，还未见有实际用Galerkin边界元来解的报道。

In chapter 2,all kinds of numerical methods of computational fracturemechanics are summarized,the development histories and present situation ofboundary collocation method,boundary integral method,finite difference method,boundary element method and finite element method are expounded,and theapplication of finite element method in fracture mechanics are emphaticallydiscussed.

第二章 总结了计算断裂力学中各种数值方法，论述了边界配位法、边界积分法、有限差分法、边界元法及有限元法的发展历史和现状，并着重讨论了有限元法在断裂力学中的应用。

Numerical computation results show that it is a simple and effective absorbing boundary condition.

设计一种简单、精确、高效的吸收边界条件是很有难度的。

This treatment on the boundary condition is proved to be available by both numerical and experimental research.

在处理CEFR数值模拟问题时，考虑了变物性的的影响，且在计算实际过程中，采用了一些加快收敛的措施。

The experimental results are consistent with the results of double Reynolds boundary condition of numerical model.

实验结果表明：油膜形成和破裂边界的变化趋势与采用双雷诺边界条件计算的结果相比是比较一致的。

Chapter 2 is seepage numerical model and boundary condition.

第二章为渗流数学模型及定解条件。

Recall that, in the Kolmogorov axiomatization, measurable sets are the sets which have a probability or, in other words, the sets corresponding to yes/no questions that have a probabilistic answer.

延期开工的Kolmogorov宣布要衡量所有套职能有限许多坐标限制在于衡量子寅。换句话说，如果是/否的问题回答f可看的价值观念在许多最有限坐标，然后它有一个概率的答案。

The experimental results showed that the algorithm can filter singular points and remain fixity of the target edge.

实验表明：基于模糊理论的图像智能滤波方法比常规图像滤波方法运算量小，它既能去除奇异点，又能保持图像中目标的边缘不变性，具有很好的滤波效果。