求解变分不等式的Newton迭代的半局部收敛性分析

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。     

考虑几何非线性的强夯流固动力耦合分析

针对强夯法加固地基机理的流固动力耦合分析问题,本文考虑土体的几何非线性,建立土体非线性动力平衡方程和整体流固动力耦合方程,给出土体非线性动力平衡方程的迭代计算格式和流固动力耦合方程的解耦计算方法,并对一具体算例进行了数值分析,得到了地基位移、应力等在强夯作用下的变化规律和在空间上的分布特征,为精确模拟分析强夯加固机理提供了有效途径。     

河南及邻区地震前中小地震活跃-平静的定量指标研究

以累计频度定量计算方法，分区讨论了河南及邻区1970年以来地震活动非线性度ZL值的时间进程曲线，系统计算了M≥5．0级地震前的ZL值，结果表明：开始出现活跃(平静)异常的时间集中在地震前1—2年，结束异常的时间在地震前一年内，集中于0—4个月。同时提出了异常的定量指标以及发震类型。     

Carbon dioxide and radon gas hazard in the Alban Hills area (central Italy)

The sudden and catastrophic, or slow and continuous, release at surface of naturally occurring toxic gases like CO₂, H₂S and Rn poses a serious health risk to people living in geologically active regions. In general this problem receives little attention from local governments, although public concern is raised periodically when anomalous toxic-gas concentrations suddenly kill humans or livestock. For example, elevated CO₂ concentrations have been linked to the death of at least 10 people in the central Italian region of Lazio over the last 20 years, while it was the CO₂ asphyxiation of 30 cows in a heavily populated area near Rome in 1999 which prompted the present soil-gas study into the distribution of the local health risk. A detailed geochemical survey was carried out in an area of about 4 km² in the Ciampino and Marino districts, whereby a total of 274 soil-gas samples were collected and analysed for more than 10 major and trace gas species. Data were then processed using both statistical and geostatistical methods, and the resulting maps were examined in order to highlight areas of elevated risk. General trends of elevated CO₂ and Rn concentrations imply the presence of preferential pathways (i.e. faults and fractures) along which deep gases are able to migrate towards the surface. The CO₂ and Rn anomalous trends often correspond to and are usually elongated parallel to the Apennine mountain range, the controlling structural feature in central Italy. Because of this fundamental anisotropy in the factors controlling the soil-gas distribution, it was found that a geostatistical approach using variogram analysis allowed for a better interpretation of the data. With regard to the health risk to local inhabitants, it was found that although some high risk areas had been zoned as parkland, others had been heavily developed for residential purposes. For example, many new houses were found to have been built on ground which has soil-gas CO₂ concentrations of more than 70% and radon values of more than 250 kBq m⁻³. It is recommended that land-use planners incorporate soil-gas and/or gas flux measurements in environmental assessments in areas of possible risk (i.e. volcanic or structurally active areas).     

Nonlinear Rate Dependent Model of High Damping Rubber Bearing

The accurate analysis of the response of isolated structures requires the application of appropriate models of isolation devices. The purpose of this paper is to analyse a nonlinear strain rate dependent model of a high damping rubber bearing which simulates the horizontal behaviour of the device under specified vertical load using a nonlinear elastic spring-dashpot element. The effectiveness of the model is checked by fitting the experimental data concerning three different rubber bearings. The results of the study show that the model can simulate the bearing behaviour over a wide shear strain range with small simulation errors. This revised version was published online in July 2006 with corrections to the Cover Date.     

Stepwise Conditional Transformation for Simulation of Multiple Variables

Most geostatistical studies consider multiple-related variables. These relationships often show complex features such as nonlinearity, heteroscedasticity, and mineralogical or other constraints. These features are not handled by the well-established Gaussian simulation techniques. Earth science variables are rarely Gaussian. Transformation or anamorphosis techniques make each variable univariate Gaussian, but do not enforce bivariate or higher order Gaussianity. The stepwise conditional transformation technique is proposed to transform multiple variables to be univariate Gaussian and multivariate Gaussian with no cross correlation. This makes it remarkably easy to simulate multiple variables with arbitrarily complex relationships: (1) transform the multiple variables, (2) perform independent Gaussian simulation on the transformed variables, and (3) back transform to the original variables. The back transformation enforces reproduction of the original complex features. The methodology and underlying assumptions are explained. Several petroleum and mining examples are used to show features of the transformation and implementation details.     

Permeability Estimation with the Augmented Lagrangian Method for a Nonlinear Diffusion Equation

We consider numerical identification of the piecewise constant permeability function in a nonlinear parabolic equation, with the augmented Lagrangian method. By studying this problem, we aim at also gaining some insight into the potential ability of the augmented Lagrangian method to handle permeability estimation within the full two-phase porous-media flow setting. The identification is formulated as a constrained minimization problem. The parameter estimation problem is reduced to a coupled nonlinear algebraic system, which can be solved efficiently with the conjugate gradient method. The methodology is developed and numerical experiments with the proposed method are presented.     

偏心结构非线性地震反应分析的一种简化方法

本文建立了基于结构状态方程和偏心结构体系的层剪力-扭矩等效屈服EYST面概念的求解平扭耦联非线性地震反应的分离-予估-修正递推算法，编制了相应的计算程序。通过与三个单层偏心结构模型的破坏性地震模拟试验结果的对比，验证了小变形阶段平-扭耦联地震反应算法的实用性和可靠性。算例表明，该程序数据处理量小，运算快捷，便于应用。     

考虑空间效应的非线性结构主共振分析

本文针对考虑空间效应非对称刚度的单层结构，利用能量法得到了结构水平侧移和扭转相耦合的振动方程，采用多尺度法研究了侧移刚度和扭转刚度之间有某一关系时的主共振，分析了结构主共振的定常解并且讨论了其稳定性，通过算例分析得到了考虑空间效应时结构的一些有益的结论。     

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

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。