有限维的

During the calculation the results got by quintic spline kernel was the best so it was chosen as the proper kernel for the SPH simulation. By comparison of the simulation results got by SPH and finite volume method, it was proved that the buffer cells method proposed in the SPH simulation to implement the Dirichlet boundary conditions was accurate, and this is of great importance for the simulation of flows pass a pipe. At last, the SPH method was improved to simulate the liquid-solid two phase flows and the results show that this method was appropriate for the simulation of flows containing viscous fluid and macroscopic solid components. Now the two methods are both able to predict the continuum flows and rarefied flows severally, but the hybrid program still has some aspects to be improved.

首先用标准算例验证了SPH方法的理论模型和计算程序的准确性；通过比较确定选用五次样条核作为计算低雷诺数下的粘性连续流动时的核函数；采用SPH方法和有限体积法分别对同一管道流动进行了对比计算，证明了本文提出的边界缓冲区方法在实现SPH方法中的流体边界条件时的有效性，解决了SPH方法模拟管道流动时的一个关键问题；巧妙地使用SPH方法对化工分离流动中常见的固液两相流及固液耦合作用进行了模拟尝试，获得了较好的结果；在跨尺度计算方面，目前两个子程序已经能够分别模拟连续的和稀薄的二维管流问题，二者的耦合计算程序还处于调试和优化阶段，各个参数对于计算精度和计算速度的影响规律仍在探索中。

With the investigation of the domestic and foreign literature systematically, the bases on the domestic and foreign present research and the comprehensive utilizations of the various knowledge of fluid mechanics in porous medium, reservoir engineering, mathematical physics, perforation completion, numerical simulation and so on, this article takes numerical simulation of gas reservoir of water solubility as the research aim which has completed following research works and obtained the corresponding research results: it analyzes the nature of the Water-soluble gas and formation water as well as the influent factors of the solubility through the study of massive materials; It establishes mathematical models three-dimension, the dual medium, the gas-water phase through the way of finite difference in the migration of water-soluble gas, which describes the entire process of release, migration and production in formation, where it considered the problems of variable bubble point; According to the numerical models of gas reservoir of water solubility it provides solution procedure that based on black oil model; It discovers that there will obtain the good effects in the lowly speed of development through simulation; the reinjection of formation water may largely enhance the produce degree of water-soluble gas when we consider reinjection in simulator; It considered the influence of perforated completion on development so as to increase the simulator"s versatility, It discovers that the simulator may reflect the conditions of development when we exanimate he simulator"s reliability with the empirical datum.

本文以水溶性气藏数值模拟研究为研究目标，在系统调研国内外文献、深入分析国内外研究现状的基础上，综合利用渗流力学、油气藏工程、数学物理方法、射孔完井以及数值模拟理论等多方面的知识，完成了以下研究工作并取得相应的研究成果；①通过对大量的资料调研，分析了水溶气、地层水性质、储层地质性质以及影响气体在水中溶解度的因素。②考虑到由于高压产生的大量水力裂缝，采用有限差分方法建立水溶气运移的三维、双重介质、气-水两相全隐式数学模型，该模型描述了水溶气在地层中的释放、运移和采出的整个过程。③在原有黑油模型的基础上，根据水溶性气藏数值模型编制了该数值模型的求解程序，该程序可以求解单重、双重介质两种情况。④通过模拟不同开采速度对水溶气开发效果的影响，发现开采速度较慢的时候可以取得较好的开采效果。⑤在模拟器中考虑了注水对水溶性气藏开发的影响，地层水回注可以大幅度提高水溶气的采出程度。⑥为增加模拟器的通用性，在模拟器中考虑了射孔完井方式对开采的影响。⑦检验模拟器计算的可靠性，发现在使用实验数据对水溶性气藏进行模拟时，模拟器可以很好的反映气藏开发的状态。

The value of the plainradiographs of pelvic was limited in the diagnosis of acetabular fractures and thedecision of pre-operative planing.EBCT images could show acetabular fractures in detail.Onthe basis of EBCT images,rational treatment might be drawed,but working out the detail ofoperative plan,orthopedist had to have rich experience in observing EBCT scan.The imagesof EBCT 3D reconstruction might provide exact guidance to formulate operative plan,thusEBCT 3D reconstuction now was the best method in the diagnosis of acetabular fractures.

骨盆平片诊断髋臼骨折是粗浅的，对制定治疗方案帮助有限；EBCT平扫能显示骨折的详细情况，并由此选择合适的治疗方法，但要制定具体的手术方案，需要临床医生有丰富的阅片经验；EBCT三维重建对制定详细的手术计划可提供正确指导，是目前最理想的诊断髋臼骨折的方法。

By analyzing the problem of hydrological 3D spatial dispersion in 3D finite differential numeric simulation of porous groundwater flow, as well as discontinuous spatial distribution and asymmetric thickness of porous aquiferous strata and partitive groundwater stratum, the paper presents the GIS-based technique of 3D spatial dispersion of porous aquiferous stratum system. Besides, the paper puts forward the 3D spatial dispersion method of irregular hexahedral unit based on GIS to guarantee to the greatest degree the uniqueness of the stratum types among the dispersed units and improve the precision of 3D spatial dispersion.

分析了目前孔隙地下水流三维有限差分数值模拟中对含水层系统三维空间离散存在的问题，针对自然界孔隙含水层与隔水层空间分布的不连续性与厚度的不均匀性，研究了基於GIS的孔隙含水层系统三维空间离散实现的技术路线，提出了基於GIS与不规则六面体元的孔隙含水层系统的三维空间离散方法，最大限度地保证了离散体元中含水层类型的单一性，提高了孔隙地下水流模拟模型三维空间离散的精度。

By analyzing the problem of hydrological 3D spatial dispersion in 3D finite differential numeric simulation of porous groundwater flow, as well as discontinuous spatial distribution and asymmetric thickness of porous aquiferous strata and partitive groundwater stratum, the paper presents the GIS-based technique of 3D spatial dispersion of porous aquiferous stratum system .

分析了目前孔隙地下水流三维有限差分数值模拟中对含水层系统三维空间离散存在的问题，针对自然界孔隙含水层与隔水层空间分布的不连续性与厚度的不均匀性，研究了基于GIS的孔隙含水层系统三维空间离散实现的技术路线，提出了基于GIS与不规则六面体元的孔隙含水层系统的三维空间离散方法，最大限度地保证了离散体元中含水层类型的单一性，提高了孔隙地下水流模拟模型三维空间离散的精度。

The so-called AT-algebras are inductive limits of finite direct sums of matrices over the extension algeras of circle algebra by K, where K is the C~*— algebra of all compact operators on a separable infinite dimensional Hilbert space.

若V_*与V_*同构，且保持单位元等价类；T与T仿射同胚，且同构映射与同胚映射相容，则存在E与E′的同构导出上述同构和同胚，所谓AT-代数即为圆代数通过κ的本质酉扩张的矩阵代数的有限直和的归纳极限，这里κ为可分的无限维复Hilbert空间上的紧算子全体，不变量中的V*为三变元Abel半群，T为迹态空间，[1]为单位元所在的Murray-von Neumann等价类，r_E为连接映射。

Then, a series of successful numerical simulations on the finite length inclined positively buoyant jets in uniform cross flows environment are developed. Based on the results from numerical simulations, some qualitative pictures of the complex three -dimensional mean flows are given. In terms of these pictures, the flowing behavior of the buoyant jets and the mechanism of end-vortexes generation are made a study. The change rules of end-vortexes and temperature and dilution on trajectory of jets, horse-hoof shape of buoyant jets on horizontal, the phenomenon of the jets touch wall, and the effects of diffuser length^ densimetric Foroude number % velocity ratio on buoyant jets are also given.

之后对均匀横流环境中的有限长线源型倾斜浮力射流进行了大量的数值计算，根据数值模拟的结果，绘出了一些复杂的三维图，据此探讨了其流动特性及端涡的产生机理，成功模拟了端涡现象及其发展过程，对轨迹线上沿程温度及稀释度的变化规律，倾斜浮力射流的马蹄形结构，浮力射流的贴壁现象，扩散器长度、喷口弗汝德数、流速比等对浮力射流的影响等问题均给出了有价值的结论。

The method of prediction on stochastical simulating 3D parameter field of rock mechanics is brought forward in this paper. Namely, rock mechanics parameters- curve obtained by known and limited conventional log materials is took as inputs of hard data;and seismic attribute data body, hydrating of mud shale and rock environmental parameters data is took as constraint of soft data. By simulating stochastically through optimizing algorithm of Sequential Gauss Simulation,dynamical data field of rock mechanics parameter of three-dimensional space are gotten, then log response of rock mechanics parameters in position of any point in space is predicted.

提出三维岩石力学参数场随机模拟预测的方法，即以已知有限的常规测井资料计算出来的岩石力学参数曲线作为硬数据输入，以已知地震属性数据体及泥页岩水化和岩石环境参数数据作为软数据约束，选择序贯高斯模拟方法，随机模拟得到动态规律变化的岩石力学参数的三维空间数据场，然后由岩石力学参数的三维空间数据场预测空间任一位置的岩石力学参数在井上的测井响应，并把该反映动态规律变化的测井响应按照油田勘探开发的要求输出成特定格式，供生产和工程上使用。

This research method is to use the three-dimensional mapping software to draw the cardiovascular stent of different size first , next is it create their cardiovascular stent boundary conditions and simulation their of support after implantation according to finite element method into the human body to go; Receive different residue pressures and pressure of the repeated blood circulation , greatest stress , meets an emergency and the relation between total deformation amount caused; Being imitated the cardiovascular stent , the position with damage of fatigue life in the blood vessel by its greatest stress value at the same time ; But by the simulation result of the above , can understand that use life of Palmaz-schatz cardiovascular stent has been more than 109 up till now ; At the same time , can know the position where the stress two times concentrates , the right angle position joined in the rib and rib of Palmaz-schatz cardiovascular stent too.

本研究的方法乃是先会使用三维绘图软体画出不同尺寸的血管支架，然后在根据有限元素法去设定其血管支架的边界条件和模拟其植入人体后；受到不同的残留压力与反覆血液流动的压力，所造成的最大应力、应变及总变形量之间的关系；同时在由其最大应力值去模拟血管支架，在血管中的疲劳寿命与疲劳损坏位置；然而由以上的模拟结果，可以了解到目前Palmaz-schatz血管支架之使用寿命为109以上；同时也可以知道二次应力集中的位置，在Palmaz-schatz血管支架之肋和肋连接的直角位置。

In this dissertation, first, based on theory of cutting tooth about the gleason spiral bevel gear, the equation of meshing in the process of cutting tooth, the surface equation of generating gear as well as the general tooth surface equation of the double circular arc spiral bevel gear, using GB12759-1991 type of double circular arc gear as a basic gear profile, a three-dimension solid model of double circular arc spiral bevel gear which has the good adaptability was carried out by used of Unigraphics software;Second, by researching of the algorithm about contact and collision as well as various contact types based upon Contacting Finite Element Method, a foundation was laid for selecting the contact type in analyzing contact stress of double circular arc spiral bevel gearing;Finally, through the connection port of PARASOLID between UG software and ANSYS/LS-DYNA software, the three-dimension solid model of double circular arc spiral bevel gearing obtained above in UG was imported into ANSYS/LS-DYNA, a finite element analyzing about contact stress of double circular arc spiral bevel gearing was carried out by applying new loading method.

本文首先基于格利森弧齿锥齿轮加工原理及切齿啮合过程中的啮合方程、产形轮齿面方程以及双圆弧弧齿锥齿轮的齿面方程，选用GB12759-1991型双圆弧齿轮基本齿廓为基准齿形，利用Unigraphics软件的建模功能，绘制了有较好适应性的双圆弧弧齿锥齿轮传动三维实体模型。其次，描述了应用有限单元法进行实体接触与碰撞问题算法的公式，研究了有限元分析中的各种接触类型以及双圆弧弧齿锥齿轮接触应力分析中所选择接触类型的依据。最后，通过UG软件和ANSYS/LS-DYNA之间的PARASOLID接口工具包，将UG软件中得到的啮合齿轮模型导入ANSYS/LS-DYNA有限元分析软件，给出一种新的加载方法，进行了双圆弧弧齿锥齿轮传动的接触应力的有限元分析。

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。