天然软土地基路堤临界高度一种计算方法研究

考虑地表硬壳层应力扩散作用、硬壳层的抗剪强度、中间主应力 对地基承载力的影响,从实际情况下土的静止侧压力系数出发,依据极坐标表示的弗拉曼公式和统一强度理论,推导出天然软土地基临塑与临界荷载公式,提出天然软土地基上路堤临界高度的一种计算方法。结合算例,探讨了软土层和硬壳层静止侧压力系数 、中间主剪应力系数 取不同值对路堤临界高度 的影响。结果表明： 与 的改变对路堤临界高度 影响很大,新的理论公式更能反应软土地基承载力的实质,对覆有硬壳层的软土地基上路堤的修筑具有一定的指导意义。     

应用matlab求解小流域推理公式的方法

针对《水利水电工程设计洪水计算规范》在推求小流域洪水时采用的推理公式,提出以图解法及牛顿迭代法为基础,用matlab软件在各种汇流类型下求解推理公式的洪峰流量及汇流时间,该方法计算速度快、精度高,而且简便、实用、易操作.     

A rational runoff coefficient for a revisited rational formula

ABSTRACT

The Rational Formula (RF) is probably the most frequently applied equation in practical hydrology to compute the peak discharge, due to its simplicity and effective compromise between theory and data availability. Thus, after more than a century, the estimation of peak discharge through the RF is still an important and challenging issue in hydrology. The RF assumes response linearity and sometimes assumes that the return period does not depend on the runoff coefficient and neglects the time to ponding and the antecedent moisture condition. Moreover, the RF requires the critical duration of rainfall and the runoff coefficient to be estimated, both of which are highly controversial. This paper proposes an advanced RF that makes it possible to derive the peak discharge at the hillslope scale, where the above RF assumptions are mostly relaxed. Physically based runoff coefficient tables, which are not affected by subjectivity, are presented and application of the derived procedure is performed.     

余震活动机理研究综述

从介质和应力的不均匀性、力学加载、流体侵入及应力腐蚀、速率-状态依从等几方面对余震活动机理研究进行综述.已有的研究表明,介质和应力的不均匀性是余震产生的基本前提.瞬时蠕变和余滑观点能够从力学的角度解释震后极短时间内余震的快速衰减,而应力松弛过程更有利于解释长时期的余震活动特征.流体侵入及应力腐蚀在一定条件下控制着余震的演化过程.受主震应力扰动影响的断层间的相互作用,始终存在于余震的活动过程之中.各类模型和理论解释都在努力寻求与G-R关系和修改的大森公式这两个统计地震学基本关系的一致性.     

伶仃洋河口水域纳潮特性分析

为阐明伶仃洋河口水域纳潮现状和特性,分别采用经验公式和建立贴体曲线坐标系下的珠江河口二维数学模型的方法,对河口伶仃洋水域的纳潮特性进行了分析和探讨.数学模型的离散和求解采用纯隐格式的混合有限分析法,根据实测资料对其进行了验证.比较显示,采用实测资料和经验公式计算到的伶仃洋水域纳潮量与数学模型的计算结果相差在5%以内,从而证实了数学模型的可靠性.结果表明,伶仃洋海域的主要纳潮口门为伶仃洋口门,约占总纳潮量的87.7%,通过香港暗士顿水道进出的潮量仅占12.3%左右,显示伶仃洋口门为该海域的主要径潮通道,对该河口的防洪和生态具有重要的作用     

若干非线性偏微分方程的守恒律

采用第一同伦公式法,借助符号计算软件Maple,分别构造(1+1)维非线性弹性波动方程、Brusselator方程组及(2+1)维广义CBS方程的守恒律.     

Unification of vertical datums by GPS and gravimetric geoid models using modified stokes formula

In general, neighboring vertical datums can be compared directly at one or more common points on the border between the datums. This direct method requires leveling and gravity measurements. Such a direct connection is not possible if the datums are separated by an ocean or another body of water. Then a rigorous mathematical model, an indirect approach, may be useful. In order to connect regional vertical datums, a rigorous mathematical model is derived based on a method by Rummel and Teunissen. In this study, two vertical datums are connected indirectly by means of a combination of precise geocentric positions of tide gauge sites and their geoid heights in one geocentric coordinate system and their height values in the respective height datums. This method is used to connect the Swedish and the Finnish height systems. The difference between Swedish RH70 and the Finnish N60 height systems is estimated to —12.1±2.7 cm. The results are mostly in good agreement with those of the direct approach by Sjöberg and by Ekman and the indirect approach by Pan and Sjöberg.     

哑铃桩模型试验与承载力计算方法研究

对自主研发的哑铃桩进行了系列试验和理论分析。通过与不同截面形式的桩进行承载性能试验对比,分析了存在项盘、扩头情况下的哑铃桩与传统单桩等桩型在不同外力荷载作用下的承载力差异,及其与桩端受力、荷载沉降等的关系。研究表明,本文模型试验中,周围填土是砂的条件下,哑铃桩桩端阻力分担了绝大部分的桩顶荷载,可把哑铃桩视作端承桩进行设计,其承载力较之其它桩型显著提高,且在达到桩基极限承载力时,其所对应的桩顶沉降较之普通预制桩明显减小。此外,还针对哑铃桩的构造特点提出了哑铃桩承载力计算公式,并通过与试验数据的对比,验证了其合理性。     

垂直重力梯度反演Moho面的频谱域公式及其应用

通过求解引力相等原则下的Fredholm积分方程,可以得到不规则单一密度界面(Moho面)的起伏.本文充分参考了前人的理论研究,推导出扰动垂直重力梯度确定Moho面深度的频谱域表达式,该式具有二次项迭代精度.运用此公式进行了全球Moho面的恢复计算,并将该结果与CRUST1.0模型和GEMMA Moho模型进行了对比和验证.     

Seismic safety of high concrete dams

Peak ground acceleration(PGA) estimation is an important task in earthquake engineering practice.One of the most well-known models is the Boore-Joyner-Fumal formula,which estimates the PGA using the moment magnitude,the site-to-fault distance and the site foundation properties.In the present study,the complexity for this formula and the homogeneity assumption for the prediction-error variance are investigated and an effi ciency-robustness balanced formula is proposed.For this purpose,a reduced-order Monte Carlo simulation algorithm for Bayesian model class selection is presented to obtain the most suitable predictive formula and prediction-error model for the seismic attenuation relationship.In this approach,each model class(a predictive formula with a prediction-error model) is evaluated according to its plausibility given the data.The one with the highest plausibility is robust since it possesses the optimal balance between the data fi tting capability and the sensitivity to noise.A database of strong ground motion records in the Tangshan region of China is obtained from the China Earthquake Data Center for the analysis.The optimal predictive formula is proposed based on this database.It is shown that the proposed formula with heterogeneous prediction-error variance is much simpler than the attenuation model suggested by Boore,Joyner and Fumal(1993).