Estimation of the wave-related ripple characteristics and induced bed shear stress

A large data set on ripples was collected and examined. A set of new formulas for the prediction of the ripple characteristics is proposed with an emphasis on the disappearance of the ripples. The ripple wavelength was observed to be proportional to the bottom wave excursion but also to be a function of the grain-related Shields parameter and wave period parameter introduced by Mogridge et al. (1994). The ripple steepness was found to be nearly constant for orbital ripples, and with a sharp decrease for suborbital ripples. Two empirical functions are added including the effects of the critical Shields parameters (inception of transport and inception of sheet flow), i.e. giving the boundaries for the ripple existence's domain. The proposed formulas yield better prediction capabilities compared to the previously published formulas, especially when ripples are washed out. The effect of the ripple characteristics on the roughness height and the calculation of the bed shear stress is also discussed. It appeared that the bed shear stress calculation is more sensitive to the empirical coefficient a_r introduced in the estimation of the ripple-induced roughness height or to the limits of existence of the ripples than the ripple characteristics themselves.     

淹没植物对河道糙率的影响

基于河道水动力及植物柔性变形分析,建立淹没状态下的植物河道糙率计算的理论关系,同时,利用试验资料及理论分析成果,进一步获得了植物河道糙率的附加值,借此可以分析与评价河道植物对水流阻力的影响程度.     

地表沉陷空间预报及其有理分式解法的应用

通过阐述地面沉陷机理,分析地下岩体内应力状态和地下开挖空间的形成过程.引入数学积分模型建立地面沉陷理论模型,重点说明单元下沉盆地和特征点下沉,推导出地面沉陷预报公式.并利用有理分式解法求解地面沉陷预报数值.此法的计算精度高,适用面广,有效地解决了常规解法工作量大、计算精度低的缺点.为一种有效、实用的计算地面沉陷预报值的方法.     

西藏盐湖卤水蒸发速率的实验与计算

本文对国内外水面蒸发速率的研究进行了综述,总结了西藏扎布耶盐湖Φ20cm蒸发皿淡水蒸发量与气温、降水、日照的相关关系,提出了改进的扩展彭曼公式法,用于较为准确地计算盐湖卤水蒸发速率,并以西藏扎布耶盐湖为例计算了盐湖卤水蒸发。该方法可以应用于盐湖湖面蒸发与水量均衡计算,也可以应用于盐湖开发中的盐田工艺设计计算与实际生产应用。     

Energy balance and evaporation loss of an agricultural reservoir in a semi‐arid climate (south‐eastern Spain)

A typical agricultural water reservoir (AWR) of 2400 m² area and 5 m depth, located in a semi‐arid area (southern Spain), was surveyed on a daily basis for 1 year. The annual evaporation flux was 102·7 W m^?2, equivalent to an evaporated water depth of 1310 mm year^?1. The heat storage rate G exhibited a clear annual cycle with a peak gain in April (G ～ 45 W m^?2) and a peak loss in November (G ～ 40 W m^?2), leading to a marked annual hysteretic trend when evaporation (λE) was related to net radiation (R_n). λE was strongly correlated with the available energy A, representing 91% of the annual AWR energy loss. The sensible heat flux H accounted for the remaining 9%, leading to an annual Bowen ratio in the order of 0·10. The equilibrium and advective evaporation terms of the Penman formula represented 76 and 24%, respectively, of the total evaporation, corresponding to a annual value of the Priestley–Taylor (P–T) coefficient (α) of 1·32. The P–T coefficient presented a clear seasonal pattern, with a minimum of 1·23 (July) and a maximum of 1·65 (December), indicating that, during periods of limited available energy, AWR evaporation increased above the potential evaporation as a result of the advection process. Overall, the results stressed that accurate prediction of monthly evaporation by means of the P–T formula requires accounting for both the annual cycle of storage and the advective component. Some alternative approaches to estimating R_n, G and α are proposed and discussed. Copyright © 2009 John Wiley & Sons, Ltd.     

转动物台椭圆偏光运动轨迹分析

本文研究了转动物台椭圆偏光的运动规律,并用公式和图解表示椭圆偏光运动轨迹,导出的椭圆偏光方程式集中反映了各公式之间的关系。为解决椭圆偏光长轴运动轨迹,推导出计算椭圆长轴(a)和视旋转角(Ar)两个新公式,使最大视旋转角所对应的物台转角的研究有新的进展。本文重点讨论不透明矿物反射光的椭圆偏光的性质,但对透明矿物透射光的椭圆偏光也有一定意义。     

A survey of numerical methods for stochastic differential equations

The development of numerical methods for stochastic differential equations has intensified over the past decade. The earliest methods were usually heuristic adaptations of deterministic methods, but were found to have limited accuracy regardless of the order of the original scheme. A stochastic counterpart of the Taylor formula now provides a framework for the systematic investigation of numerical methods for stochastic differential equations. It suggests numerical schemes, which involve multiple stochastic integrals, of higher order of convergence. We shall survey the literature on these and on the earlier schemes in this paper. Our discussion will focus on diffusion processes, but we shall also indicate the extensions needed to handle processes with jump components. In particular, we shall classify the schemes according to strong or weak convergence criteria, depending on whether the approximation of the sample paths or of the probability distribution is of main interest.     

用王水分解含金矿物的机理探讨

本文从理论上对王水分解含金矿物的机理进行了探讨。在非标准状态下,温度、压力不变,改变体系中物质的浓度、酸度条件,用能斯特公式求解体系中HNO_3和Au的电极电位值,而后用EMF(电池电动势)根据规则判断反应是否可以进行。经理论计算,结论是可行的。另外由于Au~(3 )和Cl~-大量存在时,生成稳定的[AuCl_4]~-,经过络合作用,促使了HNO_3和Au的氧化还原反应,最终使含金矿物溶解完全。作者认为王水同含金矿物反应的机理是:氧化和络合的双重作用。     

再论波动方程反演波速问题——波的反射与透射公式

本文是文[1]的续篇,讨论由波动方程(?)Q/(?)t~2=v~2(x)△Q 反演波速v(x)的方法是否近似可用。作者指出,在非均匀介质条件下用此波动方程不能正确描述波的传播特性,因它不能保证弹性力在间断面上连续。以双层介质为例,分别从此方程及原始波动方程出发推导波的反射与透射公式,得到不同的反射系数与透射系数表达式。二者相差很大,不可能是近似关系,因此从波动方程直接反演波速函数的方法是不可取的。