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The derivatives of the nonsmooth equations are computed to make the generalized derivative matrix nonsingular. Then the nonsmmoth damped Newton method is used to solve them.Analytic solutions of the KdV equation with variable coefficients: Shallow water wave problems belong to problems of free surface wave, and can be molded by the nonsmooth equations model given above in principle.

在前面建立的非光滑方程组数学模型和固定网格法基础上,利用广义导数的概念给出了求解渗流自由面的一种新方法-----非光滑阻尼牛顿法,该法是对非光滑方程组求导,适当的处理广义导数矩阵使其非奇异,利用非光滑牛顿法求解。

Nowadays,the properties of sediments changed by bioturbation have been concerned by International Geosphere and Biosphere Plan, especially the problems about the bioturbation and hydrodynamic coupling led to the tidal flat sediment flow differences.

如今,生物扰动对潮滩沉积物性质的改变已越来越引起国际地圈、生物圈计划的关注,尤其是生物扰动和水动力的耦合作用影响潮滩沉积物渗流差异问题。

In this article, seepage and stability against deep sliding are studied and discussed in detail as regard to Dongzhang Dam which has glacis weak surfaces in the dam foundation, some valuable results are obtained.

本文结合坝基含有缓倾角软弱夹层的东张水库大坝工程,对坝基渗流及抗滑稳定性问题进行了较为深入的研究,得出了一些有意义的结论。

A numerical model for infiltration flow and diffusion of gas in heterogeneous goaf was established.

建立了非均质采空区瓦斯渗流-扩散的数值模型,模拟了瓦斯在采空区中的涌出、分布及积聚的流体力学原理。

In this paper the conflicting discussion of scholastic view-point on seepage force which has lasted many years is stated. Then the physical concept of seepage force and its related forces including the resolved two components (a seepage force and a buoyant force) from seepage resultant force, the transformation between the seepage force and boundary pore water pressures, schematic diagram of forces acting on unit soil mass and the mathematic proof by Green theorem are described.

追述了多年来对渗透力学术观点的争论,并再就此问题论述了渗透力的物理概念及其与之相关的各力(包括渗流作用合力及其分解成的两个分力,渗透力与周边孔隙水压力的转换关系及各力作用在单位土体的图示;从数学上引用格林公式,证明土体表面水压力与土体本身渗透力之间的转换关系。

However, due to the complexity and multiplicity of influential factors, this research is still in the stage of groping.

由于低渗透岩石渗流的复杂性和影响因素的多样性,这方面的研究尚处于探索阶段。

In Chapter 2, we discuss the initial boundary problem of a porous equation in half space.

第二章,我们讨论半空间上的渗流方程组的初边值问题。

Owing to the monotonic mapping of fuzzy structured element established the homeomorphic property between fuzzy number space and the family of standard bounded monotone function, so, we can transform the study of any properties in fuzzy number space to the corresponding one in the family of standard bounded monotone function, e.g.

本项目针对矿井下采空区岩石陷落形成的多孔隙介质空间的极度不规则性,建立一种以模糊值函数分析学为基础的、更接近于刻划采空区内气体流动实际状况的模糊微分方程及各种边值问题,进而得出解算复杂采场气体模糊渗流问题的数学方法。

The seepage of irregular fracture is a very important problem in rock hydraulics.

不规则裂隙的渗流问题是岩体水力学中一个比较复杂的问题。

Based on the powerful functions of calculation, statistics and graphing of Excel, making the best of its VB and macro operation, the automatic statistics and analysis of dam seepage monitoring data and drawing of corresponding graphs phreatic line, hydrograph etc.

以Excel强大的计算、统计和图形绘制功能为基础,充分利用Excel的VB编程和宏运算,实现了大坝渗流监测数据的自动统计、分析和相应图形的绘制,为水库运行管理部门提供了大坝运行系统参数和决策依据。

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According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm~150rpm时取得最大值,此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世,形体几无变化。

When I was in school, the rabbi explained everythingin the Bible two different ways.

当我上学的时候,老师解释《圣经》用两种不同的方法。