求解变分不等式的Newton迭代的半局部收敛性分析     

王征宇  沈祖和 《华东地质学院学报》2003,26(2):159-162

分析了求解变分不等式Newton方法的半局部收敛性，建立了类似于Kantorovich定理的收敛性结果。该结果不仅为判断Newton方法的收敛性提供了可计算的充分条件，也给出了Newton方法的收敛域以及问题解的存在区域。同时，文章也得到了Newton方法的若干收敛性质，包含收敛阶以及可计算的误差估计式等。  相似文献   

贵州某机场的主要工程地质问题分析及其处理措施建议   总被引：1，自引：2，他引：1  

张宁  胡瑾 《地质灾害与环境保护》2003,14(2):66-70

贵州某机场为山区高填方机场，最大填方高度近60m，场址沟谷发育，基底为软硬交替的、顺倾向岩层的斜坡地区，笔者就该机场的主要工程地质问题一边坡稳定问题、沉降问题、地表水和地下水的排泄问题进行了不同程度的研究并提出了相应的处理措施。  相似文献   

活动断裂引发的环境地质问题及措施     

王生力韩振富  刘唐生裘平一 《城市地质》2003,15(3):23-26

随着经济的飞速发展和现代化建设的加快，全社会防灾减灾意识的增强，在国土规划、抗震规划及高、深、大型工程项目的建设中，对活动断裂的研究，已成为勘测、设计中的重要课题。本文就影响张家口市城市安全的活动断裂的类型、空间展布、活动特征、引发的环境地质灾害及工程对策等予以阐述，为城市规划提供依据。  相似文献   

论上海软土地基⑦⑧⑨层压缩模量Es的定值问题   总被引：2，自引：0，他引：2  

董炳炎  甘德福 《水文地质工程地质》2003,30(4):59-62

上海地区深部土层⑦⑧⑨层埋深在30～70m。对其压缩模量Es的定值问题,现行《上海市地基基础设计规范》(DGJ08 11 1999)(后文中简称《规范》)长期以来确定室内试验E0 1～0 2值为沉降计算值,导致沉降计算值与建(构)筑物实际沉降量之间相差2～8倍。为符合规范的变形要求,设计人员不得不采取桩加粗、加长、加密的办法,从而造成桩基投资的极大浪费。为了正确认识深部土层的Es值,上海岩土工程界进行了多种形式的试验研究。近年来,笔者结合上海高、大、深、重建(构)筑物的工程实践,深入进行上海深部⑦⑧⑨层压缩模量Es的试验研究,获得许多新的认识,对其定值问题作了研究,提出⑦⑧⑨层的建议值,供同行参考研讨。  相似文献   

Coupled inverse modelling of groundwater flow and mass transport and the worth of concentration data   总被引：1，自引：0，他引：1  

Harrie-Jan Hendricks Franssen  Jaime Gómez-Hernández  Andrés Sahuquillo 《Journal of Hydrology》2003,281(4):281-295

This paper presents the extension of the self-calibrating method to the coupled inverse modelling of groundwater flow and mass transport. The method generates equally likely solutions to the inverse problem that display the variability as observed in the field and are not affected by a linearisation of the state equations. Conditioning to the state variables is measured by an objective function including, among others, the mismatch between the simulated and measured concentrations. Conditioning is achieved by minimising the objective function by gradient-based methods. The gradient contains the partial derivatives of the objective function with respect to: log conductivities, log storativities, prescribed heads at boundaries, retardation coefficients and mass sources. The derivatives of the objective function with respect to log conductivity are the most cumbersome and need the most CPU-time to be evaluated. For this reason, to compute this derivative only advective transport is considered. The gradient is calculated by the adjoint-state method. The method is demonstrated in a controlled, synthetic study, in which the worth of concentration data is analysed. It is shown that concentration data are essential to improve transport predictions and also help to improve aquifer characterisation and flow predictions, especially in the upstream part of the aquifer, even in the case that a considerable amount of other experimental data like conductivities and heads are available. Besides, conditioning to concentration data reduces the ensemble variances of estimated transmissivity, hydraulic head and concentration.  相似文献   

武汉市高层建筑岩土工程问题分析     

谭松林  江权 《水文地质工程地质》2003,(Z1)

武汉市是华中地区最大的城市,改革开放以来,兴建了许多高层建筑。高层建筑尤其是超高层建筑的主要特点是高度大、重心高、基底压力大及基础埋深大等。而武汉地区的地质条件又比较复杂,就第四纪地层而言,从最新沉积的各类软土如人工填土、淤泥类土、软塑状粘性土等,到全新世(Q4)沉积的各类砂土与卵砾石,直至晚更新世(Q3)及其以前沉积的老粘土均有分布。各类土层的厚度、深度及性质均变化较大。因此武汉地区高层建筑的岩土工程问题就显得复杂与多样,在众多复杂的岩土工程问题中,本文主要分析了比较突出的基础持力层与基础类型的确定,深基坑开挖中的边坡滑移、基坑涌水、流砂、突涌以及基坑防护等。通过对这些问题的分析,从中可以得出一些规律,对今后高层建筑的兴建具有一定的指导作用。  相似文献   

Adaptive Multiscale Permeability Estimation     

Alv-Arne Grimstad  Trond Mannseth  Geir Nævdal  Hege Urkedal 《Computational Geosciences》2003,7(1):1-25

With multiscale permeability estimation one does not select parameterization prior to the estimation. Instead, one performs a hierarchical search for the right parameterization while solving a sequence of estimation problems with an increasing parameterization dimension. In some previous works on the subject, the same refinement is applied all over the porous medium. This may lead to over-parameterization, and subsequently, to unrealistic permeability estimates and excessive computational work. With adaptive multiscale permeability estimation, the new parameterization at an arbitrary stage in the estimation sequence is such that new degrees of freedom are not necessarily introduced all over the porous medium. The aim is to introduce new degrees of freedom only where it is warranted by the data. In this paper, we introduce a novel adaptive multiscale estimation. The approach is used to estimate absolute permeability from two-phase pressure data in several numerical examples.  相似文献   

卫星测高问题的球谐级数解法   总被引：3，自引：0，他引：3  

于锦海 《测绘学院学报》2003,20(1):7-9

研究了球界面下卫星测高问题的解法，利用有限逼近方法得到了下列结论：若陆地部分是球冠，则卫星测高问题的解可以转换成关于球谐级数位系统的线性方程组。同时证明了常用的Stokes问题、Dirichlet问题、Neumann问题可以看成卫星测高问题的特殊情况。  相似文献   

n维非线性波动方程对应的线性方程Cauchy问题解的一个估计式     

郭华  李月  杨宝俊  刘财  杨冬  张景 《地球物理学进展》2003,18(1):142-145

对于地震波在地球介质中传播的传播非线性而言，在求解n维非线性波动方程Canchy问题时，需要求解其对应的线性波动方程Cauchy问题和建立一些解的估计式。我们已经求得了其对应的线性波动方程Canchy问题解的表达式。在此基础上，本文应用函数空间L^1(R^n)、L^∞（R）的范数，建立了n维非线性波动方程对应的线性波动方程Cancny问题解的一个估计式，为求解n维非线性波动方程莫定了基础。  相似文献   

Construction of Green's function to the external Dirichlet boundary-value problem for the Laplace equation on an ellipsoid of revolution   总被引：1，自引：0，他引：1  

Z. Martinec  E. W. Grafarend 《Journal of Geodesy》1997,71(9):562-570

Green's function to the external Dirichlet boundary-value problem for the Laplace equation with data distributed on an ellipsoid of revolution has been constructed in a closed form. The ellipsoidal Poisson kernel describing the effect of the ellipticity of the boundary on the solution of the investigated boundary-value problem has been expressed as a finite sum of elementary functions which describe analytically the behaviour of the ellipsoidal Poisson kernel at the singular point ψ = 0. We have shown that the degree of singularity of the ellipsoidal Poisson kernel in the vicinity of its singular point is of the same degree as that of the original spherical Poisson kernel. Received: 4 June 1996 / Accepted: 7 April 1997  相似文献