黄土土性的空间自相关性研究

运用土层的随机场模型研究了绛帐、潼关和延安黄土主要物理力学指标沿深度的统计规律,计算出黄土土性的自相关距离,探讨了黄土土性的空间变异性,结果认为:黄土的物理力学指标沿深度均是统计非均匀的,在实际工程的设计中,如果把土层看成统计均匀,其土性参数的标准差会比实际情况大,从而会导致较大的误差。     

满足给定数字特征和谱的随机信号的产生

本文给出了满足给定数字特征和谱的随机序列的产生方法，即用无记忆非线性变换实现非正态随机信号的模拟．该法与Ｇｕｊａｒ法相比较，放宽了变量概率分布的限制，只要求变量矩的存在。同时考虑无记忆非线性变换对谱的影响，用异于Ｌｉｕ的方法在频域上求解输入正态分布随机序列的谱．     

Second-Order Solutions for Random lnterfacial Waves Under Steady Uniform Currents

In the present research, the study of Song (2004) for random interracial waves in two-layer fluid is extended to the case of fluids moving at different steady uniform speeds. The equations describing the random displacements of the density interface and the associated velocity potentials in two-layer fluid are solved to the second order, and the wave-wave interactions of the wave components and the interactions between the waves and currents are described. As expected, the extended solutions include those obtained by Song (2004) as one special case where the steady uniform currents of the two fluids are taken as zero, and the solutions reduce to those derived by Sharma and Dean (1979) for random surface waves if the density of the upper fluid and the current of the lower fluid are both taken as zero.     

回顾与展望

数学系创建于1977年。在完成全院各专业的数学教学任务的同时，积极开展了科学研究。在常微分方程、随机微分方程、偏微分方程、生物数学等基础数学和应用数学分支中取得了一批成果，并结合海浪、海流、潮汐、海洋工程、海洋气象、海洋地质、海洋生物及水产科学的研究获得了一些具有实用价值的成果。     

英国推出"噪音地图"或助缓解噪音污染

英国政府5月16日推出一项名为“噪音地图”的在线服务。英国网民只需点击鼠标即可了解自己所处地区的大致噪音污染程度。英国官员希望,这一地图能帮助人们直观了解身边的哚音污染状况,推动制定计划减少不必要的噪音污染。     

The acid neutralizing capacity （ANC） of South Africa＇s freshwater ecosystems

Acidification is considered the most important one of the primary chemical stress factors that impact on freshwater ecosystems. In unpolluted freshwater systems, the primary controls on the degree of acidification are factors such as the geological substrate of the catchment area, the presence of organic acids secreted by vegetation in the river system, and equilibrium exchange of carbon dioxide with the atmosphere. Anthropogenic factors that can impact on the degree of acidification of freshwater systems include agricultural, mining and industrial activities, either through direct runoff into river systems or through deposition of atmospheric pollutants from these sources. The capacity factors alkalinity and acidity, which represent the acid- and base-neutralizing capacity （ANC and BCN） of an aqueous system, have been used as more reliable measures of the acidic character of freshwater systems than pH. Unlike pH, ANC and BNC are not affected by parameters such as temperature and pressure. Therefore, ANC has been employed as a predictor of biological status in critical load assessments. Freshwater systems with ANC＇s eq/L isμeq/L are considered sensitive to acidification, ANC=0 μbelow 150 commonly used as the predictor for fish species such as trout in lakes, and an eq/L as more realistic for streams. Acid-neutralizing capacity μANC value of 40 （ANC） can be determined by titration with a strong acid to a preselected equivalence point. Alternatively, it can be calculated as the difference between base cations （[BC]） and strong acid anions （[SAA]）： ANC=[BC]- [SAA]=[Ca^2＋]＋[Mg^2＋]＋[Na^＋]＋[K^＋]-[SO4^2-]-[NO3^-]-[Cl^-] To date, there has been no attempt to establish the ANC of South Africa＇s freshwater ecosystems or variability therein, despite the fact that long-term water quality monitoring data exist for all the parameters needed to calculate it according to the above equations. As a result, the relationship between the acid neutralizing capacity of freshwater ecosystems in South Africa and biodiversity factors, such as fish status, is unknown. Results of the first comprehensive （country-wide scale） evaluation of the acid neutralizing capacity of river systems in South Africa will be presented. Long-term monitoring data obtained from the Department of Water Affairs and Forestry （DWAF） from most of South Africa＇s river systems were used to establish geographic and temporal variabilities in ANC. The results show that the Berg and Breede River systems are most susceptible to acidification, and that geological substrate appears to explain most of the geographic variabilities observed.     

结构随机响应的一种改进的概率谱叠加方法

目前有一些关于多自由度结构体系的地震响应中响应峰值按降序(即由大到小的顺序)排列时的峰值统计性质的研究。本文对这些研究中的概率方法提出一些改进。由于这些改进，概率谱叠加方法在实际应用中就变得更准确和实用。本文以五层的结构模型为例，计算其在埃尔森特罗(1940)地震激励下的响应，并与时程分析结果进行比较。结果表明，改进的概率谱叠加方法能够谁确的计算较高几阶重要响应峰值的幅值。     

随机地震荷载作用下饱和粉土的液化特性

为了考虑随机地震荷载作用下饱和粉土的液化特性，研究了如何通过合理的地震响应分析确定饱和粉土层受到的随机地震荷载，进一步探讨了随机地震荷载作用下的动三轴试验技术，以及利用此种试验分析饱和粉土液化特性的方法。研究结果为形成判别饱和粉土层地震液化可能性的新方法提供了依据。     

对近年来地震危险区预测效果的评估

采用R值评分方法，对中国地震局地球物理研究所2001—2004年度划定的全国地震危险区进行了评估，2001—2004年度的R值分别为0．265、0．182、0．293、0．404。近两年的R值相对高些，为了排除随机成分，做了相应的随机预报试验检验，并对地震落入危险区的随机概率作了估计。结果表明，4个年度的R值明显高于随机预报，除2002年度外，地震随机落入危险区的概率很低，不到2％。这说明中国地震局地球物理研究所实际地震危险区划分取得了一定的效果，且逐年提高。     

建筑物沉降规律的综合时序分析

建筑物的沉降监测数据序列具有趋势变化和随机变化的特点，本文针对两种变化项的特点分别建立相应的数学模型，再将其组合起来建立综合数学模型，从总体上把握沉降数据序列的变化规律。实例计算分析表明，此方法具有较高的拟合精度和预测能力，具有一定的应用参考价值。