科尔沁沙地土壤水分动态分析及其概率密度函数模拟

基于Laio土壤水分动态随机模型(Laio模型),利用2006-2010年5~9月土壤水分连续监测数据及日降水资料,分析科尔沁沙地固定沙丘和沙质草地生长季根系层土壤水分动态及其与降水格局的关系,研究点尺度土壤水分概率密度函数,并对Laio模型涉及的13个参数进行了敏感性分析。结果表明:① 研究区年降水的季节分配极不均匀,主要集中在4~10月的生长季,占全年降水量的93%;0~5 mm降水事件占全年降水事件的73%,但其降水量只占全年降水量的25%;降水间隔期以0~10 d为主,占全年无降水期的38%,其频数最高,占全年间隔期频数的87%。② 固定沙丘和沙质草地根系层厚度分别为0~100 cm和0~70 cm,沙质草地根系层土壤水分显著高于固定沙丘;两类沙地7月份的土壤水分都显著高于生长季其他月份。③ 两类沙地生长季根系层土壤水分均服从正态分布;通过Laio模型得到了两类沙地生长季根系层土壤水分概率密度函数p(s),其峰值及峰值出现的位置和峰的阔度均与观测结果很接近,说明Laio模型能对科尔沁沙地土壤水分概率密度函数进行较好的模拟。④ Laio模型涉及的13个参数中,对p(s)最为敏感的参数是降水频率λ、平均降水量α、最大蒸散量E_max、水分胁迫点s*和凋萎系数s_w,主要影响p(s)曲线的峰值。     

二次电流场多次叠加概率成像

基于地下电流场的积分公式,离散化的二次电流场被分解为电性不连续界面上的一系列点电荷电场的代数和.单位正点电荷电场被引入作为空间扫描函数（SDS）,积累电荷出现的概率（COP）函数定义为二次电流场与SDS的互相关.为对概率成像结果进行定量分析解释,提出了规范的积累电荷出现的概率（NCOP）函数.通过应用有限元算法对2D地电模型进行二次电流场合成,实现了二次电流场的多次叠加概率成像.结果表明对均匀半空间中赋存地质异常体的电性结构,概率成像方法对地下异常体的空间位置有较好的指示作用.     

Modelling raindrop impact and splash erosion processes within a spatial cell: a stochastic approach

A new approach is proposed to simulate splash erosion on local soil surfaces. Without the effect of wind and other raindrops, the impact of free‐falling raindrops was considered as an independent event from the stochastic viewpoint. The erosivity of a single raindrop depending on its kinetic energy was computed by an empirical relationship in which the kinetic energy was expressed as a power function of the equivalent diameter of the raindrop. An empirical linear function combining the kinetic energy and soil shear strength was used to estimate the impacted amount of soil particles by a single raindrop. Considering an ideal local soil surface with size of 1 m × 1 m, the expected number of received free‐falling raindrops with different diameters per unit time was described by the combination of the raindrop size distribution function and the terminal velocity of raindrops. The total splash amount was seen as the sum of the impact amount by all raindrops in the rainfall event. The total splash amount per unit time was subdivided into three different components, including net splash amount, single impact amount and re‐detachment amount. The re‐detachment amount was obtained by a spatial geometric probability derived using the Poisson function in which overlapped impacted areas were considered. The net splash amount was defined as the mass of soil particles collected outside the splash dish. It was estimated by another spatial geometric probability in which the average splashed distance related to the median grain size of soil and effects of other impacted soil particles and other free‐falling raindrops were considered. Splash experiments in artificial rainfall were carried out to validate the availability and accuracy of the model. Our simulated results suggested that the net splash amount and re‐detachment amount were small parts of the total splash amount. Their proportions were 0·15% and 2·6%, respectively. The comparison of simulated data with measured data showed that this model could be applied to simulate the soil‐splash process successfully and needed information of the rainfall intensity and original soil properties including initial bulk intensity, water content, median grain size and some empirical constants related to the soil surface shear strength, the raindrop size distribution function and the average splashed distance. Copyright © 2007 John Wiley & Sons, Ltd.     

Truncation of the distribution of ground-motion residuals

Recent studies to assess very long-term seismic hazard in the USA and in Europe have highlighted the importance of the upper tail of the ground-motion distribution at the very low annual frequencies of exceedance required by these projects. In particular, the use of an unbounded lognormal distribution to represent the aleatory variability of ground motions leads to very high and potentially unphysical estimates of the expected level of shaking. Current practice in seismic hazard analysis consists of truncating the ground-motion distribution at a fixed number (ε _max) of standard deviations (σ). However, there is a general lack of consensus regarding the truncation level to adopt. This paper investigates whether a physical basis for choosing ε _max can be found, by examining records with large positive residuals from the dataset used to derive one of the ground-motion models of the Next Generation Attenuation (NGA) project. In particular, interpretations of the selected records in terms of causative physical mechanisms are reviewed. This leads to the conclusion that even in well-documented cases, it is not possible to establish a robust correlation between specific physical mechanisms and large values of the residuals, and thus obtain direct physical constraints on ε _max. Alternative approaches based on absolute levels of ground motion and numerical simulations are discussed. However, the choice of ε _max is likely to remain a matter of judgment for the foreseeable future, in view of the large epistemic uncertainties associated with these alternatives. Additional issues arise from the coupling between ε _max and σ, which causes the truncation level in terms of absolute ground motion to be dependent on the predictive equation used. Furthermore, the absolute truncation level implied by ε _max will also be affected if σ is reduced significantly. These factors contribute to rendering a truncation scheme based on a single ε _max value impractical.     

考虑桩底沉渣的灌注桩可靠度分析方法

基桩的完整性检测不一定都能够检测到基桩中的缺陷,这些缺陷将会影响到基桩的安全性。为此,提出了考虑基桩可能出现缺陷时的基桩可靠度分析方法。以单桩桩底可能出现的沉渣缺陷为例,采用全概率理论将完整桩的失效概率和桩底含有沉渣的桩的失效概率有机地结合起来,得到了单桩的失效概率。采用基桩承载力折减系数来定量地考虑沉渣对基桩承载力的影响,并进一步推导了桩底含沉渣的基桩承载力偏差系数和变异系数的计算公式。算例分析表明,所提方法能够定量地反映基桩中可能出现的沉渣对基桩可靠度的影响。桩底沉渣对桩的可靠指标具有明显的不利影响。随着沉渣厚度和桩的直径的增加,桩底含有沉渣的桩的可靠指标逐渐减小;桩的可靠指标随着桩长的增加逐渐增大。如果不考虑桩可能出现沉渣的质量问题,基桩的安全性将明显地被高估。基桩的完整性检测可以有效地提高基桩的安全性。     

二元函数逼近在斜坡可靠度分析中的应用研究

极限平衡分析方法是斜坡稳定性评价中的常用方法,在长期的工程实践中积累了丰富的经验,但其不能考虑斜坡岩土体中实际存在的不确定性,在应用中具有一定的局限性。可靠度分析方法可有效地考虑斜坡系统内的不确定性和相关性,但因状态函数偏导数的求解比较困难,使可靠度分析方法在实际中应用不便。为解决上述问题,根据二元函数插值逼近原理,在矩形区域上构造拉格朗日不完全双二次多项式逼近状态函数,从而近似地计算状态函数的偏导数,求得状态函数的均值和方差,并利用精度较高的一次二阶矩方法来计算斜坡的可靠指标和破坏概率。据鄂西恩施地区马堡营滑坡实例分析表明,引入二元函数插值逼近的一次二阶矩方法计算结果与剩余推力法及Monte-carlo模拟方法结果一致,其精度可满足工程需求。     

隧道结构系统可靠度研究

在结构系统可靠度研究的基础上,根据隧道结构的特点,应用概率理论及工程结构系统可靠度分析方法,对整个隧道结构系统可靠度进行了探讨。隧道结构系统可靠度研究包括衬砌断面可靠度、在各种不同围岩压力作用下衬砌断面可靠度、同种围岩地段衬砌可靠度以及整座隧道可靠度的研究。整座隧道可看作由两端洞门和洞内不同围岩地段隧道衬砌所组成的串联系统,任一围岩地段衬砌和任一洞门结构的破损,都认为该隧道破损,则运用“概率网络估算技术”（又称PNET法）可求得整座隧道系统的失效概率与可靠指标。通过实例计算得到,整座隧道系统的总体可靠指标比所有单段结构的可靠指标都要低。     

基于可靠度理论的滑坡稳定性及其影响因素分析

基于可靠度理论,利用Morgenstern-Price法、Ordinary法、Bishop法和Janbu法等4类极限平衡方法对台州市北水南调工程朱溪引水段Ⅷ号滑坡的稳定性进行了分析,设计了最不利组合、最有利组合、平均值组合的确定性分析方案,目的是为可靠度计算结果提供对比基准;设计了Monte-Carlo循环次数为5 000,50 000,500 000,5 000 000次等4种计算工况,岩土参数的概率分布函数为正态分布、三角形分布和均匀分布等3种情况,方差等于0.5,1.0,2.0,3.0,4.0,5.0倍初始实验方差等6种计算方案,岩土参数间相关性在-1.0～1.0间按0.25等幅变化的9种情况。研究发现,循环次数仅对安全系极值有较大影响,对可靠度指标影响不大;分布函数和数据离散性均会对结果精度造成影响;参数相关性仅对失效概率造成较大影响。     

流域演化与泥石流的系统性——以云南东川蒋家沟为例

以典型的云南东川蒋家沟为例,根据Strahler面积-高程曲线的积分将其分区,揭示了流域的演化差异.证明了泥石流发生在特定的演化区域,并具有特定的物质组成.通过概率模型,定性说明了泥石流在流域的形成和扩张,其结果就表现为间歇性的阵流.阵流的时空特征反过来证明了泥石流的系统性.统计还表明,阵流的流量分布和衰减取决于最大流量;最大流量序列很好继承了作为流域系统行为的动力学特征.最后,可以根据单沟泥石流的过程系统考察区域泥石流活动.泥石流在大尺度水系的分布,从概率过程看,完全等同于泥石流源地小分支在单个流域的分布,而且满足相似的分布特征.     

基于有限比较法研究万州区滑带土干重度的概率分布

对万州区滑坡滑带土干重度的86个测试数据进行拟合优度检验,发现多种传统的检验方法都既可以接受正态分布也可以接受对数正态分布.在传统检验方法失效的情况下,引入了有限比较法,确定了干重度的最优概率分布为正态分布,并用统计模拟的方法分析了有限比较法选中真实分布的概率.