球面距离计算方法及精度比较

球面距离(角间距)计算是天文或地理学中极常用的计算之一,也是目标查找、锥形检索、交叉证认等方法的基础。数学上,通过球面几何可以直接计算出两点的距离,前人已经推导出了多个复杂程度不一的计算方法。但是由于计算机的精度有限,在进行数值计算时有舍入误差,导致公式计算结果出现偏差。对几个常用的球面距离计算公式进行了考察,测试并对比它们在不同计算环境下的精度与优缺点。此外还展示并比较了几种常用天文软件包、数据库的球面距离计算方法,以期有助于天文工作者选择适合自己当前需要的计算方法。     

Effect of Berm Width and Elevation on Irregular Wave Run-Up

This paper discusses the effect of berm width and elevation of composite slope on irregular wave run-up. Based on the data obtained from model tests, the formula and distribution of irregular wave run-up on composite slope are derived. The changing of wind speed, width and elevation of the berm are considered comprehensively. The wave run-up with various exceedance probability can be es-timated utilizing the distribution curves of irregular wave run-up.     

格构梁在软岩边坡治理中的应用研究

格构锚固结构是边坡治理中的一种有效的抗滑结构。本文通过工程实例探讨适合软岩边坡治理的格构梁的内力计算方法。提出按照交叉梁与地基之间的相互作用的受力模式分析格构梁,提出通过交叉点处荷载分配,将格构梁简化为纵、横两个方向的Winkle弹性地基上有限长梁来计算的方法。     

基于Bishop条分法的多点多向地震动作用下边坡稳定性分析

以人工合成的多点、多向地震加速度时程作为地震动输入,基于Bishop条分法推导了地震边坡稳定安全系数的表达公式。在此基础上,针对某一具体算例,分析了不同地震峰值加速度下的不同坡高边坡稳定安全系数的变化规律,并与单点、单向地震动输入的结果进行了对比。结果表明,对于本文给出的算例,在坡高与地震峰值加速度都相同的条件下,多点、多向地震作用下的边坡安全系数要大于单点、单向作用下的安全系数;当坡高小于30 m、地震峰值加速度小于0.1 g时,多点、多向地震动作用下的边坡安全系数与单点、单向相差不大;当坡高大于30 m、地震峰值加速度大于0.1 g时,多点、多向地震动作用下的边坡安全系数相对单点、单向要小36%以上,此时边坡稳定性评价必须考虑地震动的多点、多向特性。     

Seasonal variations in faunal distribution and activity across the continental slope of the goban spur area (NE Atlantic)

Density, biomass and community structure of macrofauna were estimated together with several sediment characteristics at seven stations ranging from 208 m to 4460 m water depth along the OMEX transect in the Goban Spur area (NE Atlantic) during three seasons (October 1993, May 1994, and August 1995). Median grain size decreased with increasing water depth and showed no differences between the seasons. The percentages of organic carbon and total nitrogen were highest at mid-slope depths (1000 to 1500 m), and were significantly higher in August at the upper part of the slope to a depth of 1500 m. The C:N ratio in the surface layer amounted to 7 to 8 in May, 10 to 12 in August and 14 to 17 in October at all stations (except the deepest at 4460 m, where it was 11 in May and August), indicating arrival of fresh phytodetritus in May, and therefore seasonality in food input to the benthos. Densities of macrofauna decreased exponentially with increasing water depth. Significantly higher densities of macrofauna were found in May at the upper part of the slope to a depth of 1500 m. These differences were mainly due to high numbers of postlarvae of echinoids at the shallowest station and ophiuroids at the deeper stations. Biomass values also decreased with increasing water depth, but biomass was relatively high at the 1000 m station and low at 1500 m, due to relatively high and low mean weights of the individual macrofaunal specimens. No significant differences in biomass were found between the seasons. Respiration was high (15 to 20 mgC·m⁻²·d⁻¹) in May at the upper part of the slope to a depth of 1000 m and low (1–3 mg C·m⁻²·d⁻¹) at the deeper part. At the shallowest stations to a depth of 1000 m respiration was highest in May, at the mid-slope stations (1400–2200 m) it was highest in August, whereas the deepest stations (3600 to 4500 m) did not show any differences in respiration rates. In conclusion; seasonal variation in organic input is reflected in denstiy, community structure and activity of the macrofauna along the continental slope in the NE Atlantic.     

基于改进的灰关联分析和层次分析法的边坡稳定性研究

边坡的稳定性受到多种因素的共同影响,合理评价和预测其稳定性是边坡研究中亟需解决的课题。提出了基于改进的灰关联分析和3标度的层次分析法（AHP）相结合的边坡稳定性分析的综合方法。由改进的灰关联分析理论,得到边坡稳定性等级的关联度,根据最大关联度准则判断待测边坡的稳定性等级。该方法克服了传统灰关联分析中没有考虑稳定性评价标准中的区间形式的缺点,并利用3标度的层次分析法,对影响边坡稳定的各指标的权重进行了讨论,从而提高了灰关联分析的精度。实例分析表明,该方法能准确反映边坡稳定性状况,证明了方法是合理、有效的     

改进的最小二乘法在水文分析计算中的应用

在水分析计算中，经常涉及到变量之间的线性或非线性拟合，而在拟合各种特性曲线时，通常应用以实测资料与拟合曲线间的误差平方和最小作为目标函数的方法——最小二乘法，但这种方法忽视了所有实测点应与拟合曲线间的相对误差尽量不超过某一百分比的原则，为了达到上述要求，提出了非线性的加权最小二乘法及线性相关方程的最小距离平方和法，探讨改进了传统的最小二乘法达到优化的效果。最小距离平方和法与常用的图解法相比，本法所得成果较为客观；与传统的单方向(x或y方向)最小二乘回归法相比，所求线性方程不会因坐标系的选取而改变。最后应用算例进行了初步讨论。     

顾及DEM误差自相关的坡度计算模型精度分析

基于DEM的坡度计算,其误差来源于DEM误差、DEM结构和坡度计算模型。在顾及DEM误差自相关的前提下,对四种DEM坡度计算模型进行了分析和评价。研究表明,三阶不带权差分能给出较高的坡度计算精度;在局部窗口中,格网点数量越多,坡度计算越准确;等权比不等权的坡度计算模型更准确;DEM误差自相关结构形式对坡度计算无影响。进一步的理论分析和试验分析还表明：DEM误差自相关性的存在,不仅能够改善地形分析的精度,也能改善DEM自身精度。     

金沙江金安桥水电站左岸B2崩塌体稳定性分析

对金安桥水电站左岸下游B2崩塌堆积体的工程特性进行研究,重点分析了凝灰岩夹层分布形式、分布特点,并提出了其对崩塌体的稳定性产生的影响以及可能导致崩塌体的破坏类型。运用2D有限元及极限平衡分析法分别对崩塌体的稳定性进行分析,由此得出：B2崩塌体按松动体底面和凝灰岩夹层组合滑动面的安全系数满足工程要求;地震作用对崩塌堆积体的影响较天然状态下大,根据极限平衡理论的最弱面搜索结果及计算结果,沿崩塌堆积体底面和凝灰岩夹层组合的整体性平面滑动破坏可能性存在。同时提出了对浸水后凝灰岩夹层特性进行研究及及时监控反馈分析的合理化建议。     

珠穆朗玛峰北坡东绒布冰川成冰作用的新认识

冰川成冰作用的研究对于选择冰芯钻取点具有重要的科学意义。前人对珠穆朗玛峰北坡冰川成冰作用的研究,由于缺少高海拔区域的实测资料而具有一定的局限性。文章通过1998年东绒布冰川垭口处(6 500 m a. s. l.)11 m冰芯和海拔6 450 m处20 m冰芯剖面的成冰作用过程研究,认识到由于水、热条件的逐年波动,冰川成冰作用也处于变化之中。珠穆朗玛峰北坡东绒布冰川高海拔区域,在一定的水、热条件下(如气温较低和降水量较大等),再冻结-重结晶作用依然占主导地位,该成冰作用至少在垭口部位是有分布的。而一般在气温较高或降水量较少等条件下,冰川的成冰作用则以冷渗浸-重结晶作用为主。