山西乡宁—吉县地区黄土高边坡可靠度研究

在山西乡宁—吉县地区实测了7个具有代表性的自然极限状态黄土高边坡断面,建立边坡地层结构模型;选取研究区合理的黄土物理力学参数,并分地层年代对10个典型工点的黄土强度参数内聚力和内摩擦角的变异性进行分析;选取6组典型的强度参数变异系数组合,基于Monte-Carlo法进行可靠度模拟,评价该区边坡稳定性;采用自然类比法进行边坡设计。结果表明：边坡失效概率随坡高的变化趋势一致,均是中等坡高（49.8m）的边坡失效概率较大,低坡和高坡的失效概率较低;当变异系数较小时,边坡失效概率对坡高和坡度的变化敏感,而当变异系数较大时,边坡失效概率对坡高和坡度的变化不敏感;当坡型一定、强度参数变异系数较小时,边坡的稳定系数基本不变,而当参数变异系数超过某一界限时,稳定系数随变异系数的增大而增大,二者存在非线性相关关系;研究区黄土边坡处于基本稳定状态,但其失效概率最大达69.3%,平均21.1%,介于20%～30%的比例为33.3%,大于30%的比例为14.3%,可靠度指标介于-0.5～8.5,其中小于2.7的比例为88.1%;对于坡高约为50m的黄土高边坡,若取30%作为可接受失效概率,边坡坡度需降至45°以下,如果期望可接受失效概率在10%以内,则坡度不宜超过34°。     

Dynamic simulation of beam-like structure with a crack subjected to a random moving mass oscillator

In this paper,dynamic simulation of a beam-like structure with a transverse open crack subjected to a random moving mass oscillator is investigated.The simultaneous effect of a crack and a random oscillator has not been addressed up to now.The crack in the beam at different locations and with different depths is considered as one group of damage,each as an individual imperfection.In addition,bearing immobility is considered as another type of problem in the beam.Mass, stiffness,damping and velocity of th...     

蒙特卡罗法在煤层气资源量计算中的应用

将蒙特卡罗(Monte-Carlo)法引入煤层气资源量计算,可弥补容积法视各参数为常数的不足。重点论述了蒙特卡罗法用于煤层气资源量计算的主要算法和函数实现,包括参数选择、分布函数确定、伪随机数的产生以及对应伪随机数参数值的确定。利用上述算法自主开发了蒙特卡罗法软件。研究实例表明,在数据样本较多的情况下,该算法与容积法能保持较小误差范围且有更高的可信度。      

Monte-Carlo 法模拟复杂地形对扩散的影响

不考虑边界层中层结作用，引入Kao得到的复杂地形中的平均流场分布和近十年来PBL实验和理论研究导出的新的湍流统计量参数化关系，本文用Monte-Carlo模式模拟了复杂地形对扩散的影响，结果表明:地形的影响主要是迎风坡抬升和背风坡下沉；陡峭地形和平缓地形的影响不完全相同；在陡峭地形和大的平缓地形的背风坡能够形成空腔区，空腔区内出现闭合的浓度中心，且地形越陡峭，闭合浓度中心的范围越大；大地形对扩散的影响可以掩盖其下风方小地形的影响。     

Storm-scale ensemble forecast based on breeding of growth modes

How to obtain fast-growth errors, which is comparable to the actual forecast growth error, is a crucial problem in ensemble forecast (EF). The method, Breeding of Growth Modes (BGM), which has been used to generate perturbations for medium-range EF at NCEP, simulates the development of fast-growth errors in the analysis cycle, and is a reasonable choice in capturing growing errors modes, especially for extreme weather by BGM. An ideal supercell storm, simulated by Weather Research Forecast model (WRF), occurred in central Oklahoma on 20 May 1977. This simulation was used to study the application of BGM methods in the meso-scale strong convective Ensemble Prediction System (EPS). We compared the forecasting skills of EPS by different pertubation methods, like Monte-Carlo and BGM. The results show that the ensemble average forecast based on Monte-Carlo with statistics meaning is superior to the single-deterministic prediction, but a less dynamic process of the method leads to a smaller spread than expected. The fast-growth errors of BGM are comparable to the actual short-range forecast error and a more appropriate ensemble spread. Considering evaluation indexes and scores, the forecast skills of EPS by BGM is higher than Monte-Carlo’s. Furthermore, various breeding cycles have different effects on precipitation and non-precipitation fields, confirmation of reasonable cycles need consider balance between variables.     

研究地球深部电导率结构的Monte—Carlo反演法

介绍了Ｍｏｎｔｅ－Ｃａｒｌｏ反演法的一种特殊设计：固定各层厚度,让各层电导率及汉数随机取样。文中研究和讨论了波数随机取样带来的问题。     

CALCULATION OF AIR-MASS FACTORS FOR O3

In conversion of the integrated slant column amount of atmospheric ozone(O₃) measured by the ground-based spectrometer technique during twilight to the vertical quantity,the air-mass factor(AMF) is an important parameter.In this work,calculations of AMF for ozone were performed for different atmospheres.It is shown that the O₃ AMF has seasonal variations with the minimum at the beginning of spring and the maximum in summer due to the seasonal change in the vertical distributions of O₃.A parameterization relation is obtained between O₃ AMF and optical thickness of stratospheric volcanic aerosols based on the Monte-Carlo radiative transfer simulations.     

2360aBP古洪水对小浪底设计洪水的作用

根据我国频率计算中广泛采用的Ｐ－Ⅲ型分布,应用统计试验方法,分别对仅由历史调查洪水和实测洪水组成的不完全系列,以及加入考虑流量误差情况下的古洪水资料后的系列进行了计算,得到后者比前者抽样误差大为减小的结论。     

白杨水源地潜水水质的Monte-Carlo随机模拟

对白杨水源地的地质和水文地质条件进行简要论述,在此基础上建立了二维潜水地下水水流和水质的数学模型。根据渭河水位、水质、降水量等随机变量的特征,选取Ｍｏｎｔｅ－Ｃａｒｌｏ随机模拟方法对水源地潜水的水流和氯离子浓度进行了评价和预测,求出了潜水水位和氯离子浓度的均值及方差,并对氯离子浓度超过１００ｍｇ／Ｌ的概率给出了定量预测,得出了水源地投产后总输水管道中水的氯离子浓度与渭河水中氯离子浓度密切相关等结论。     

On robustness of large quantile estimates of log-Gumbel and log-logistic distributions to largest element of the observation series: Monte Carlo results vs. first order approximation.

Robustness of large quantile estimates to the largest element in a sample of methods of moments (MOM) and L-moments (LMM) was evaluated and compared. Quantiles were estimated by log-logistic and log-Gumbel distributions. Both are lower bounded and two-parameter distributions, with the coefficient of variation (CV) serving as the shape parameter. In addition, the results of these two methods were compared with those of the maximum likelihood method (MLM). Since identification and elimination of the outliers in a single sample require the knowledge of the samples parent distribution which is unknown, one estimates it by using the parameter estimation method which is relatively robust to the largest element in the sample. In practice this means that the method should be robust to extreme elements (including outliers) in a sample.The effect of dropping the largest element of the series on the large quantile values was assessed for various coefficient of variation (CV) / sample size (N) combinations. To that end, Monte-Carlo sampling experiments were applied. The results were compared with those obtained from the single representative sample, (the first order approximation), i.e., consisting of both the average values (Ex_i) for every position (i) of an ordered sample and the theoretical quantiles based on the plotting formula (PP).The ML-estimates of large quantiles were found to be most robust to largest element of samples except for a small sample where MOM-estimates were more robust. Comparing the performance of two other methods in respect to the large quantiles estimation, MOM was found to be more robust for small and moderate samples drawn from distributions with zero lower bound as shown for log-Gumbel and log-logistic distributions. The results from representative samples were fairly compatible with the M-C simulation results. The Ex-sample results were closer to the M-C results for smaller CV-values, and to the PP-sample results for greater CV values.