高斯投影公式的机助推导

随着GPS应用的普及,高斯投影在测量中出现的机会越来越多。许多文献上都给出了推导过程,这个推导过程的运算量是非常大的,而且计算精度难于提高。经过研究,一种易于编程的递推公式被发现,虽然这个公式在计算量上没有减少,但是可以较好地解决精度问题。     

About the specification of erosion flux for soft stratified cohesive sediments

The present paper deals with the specification of bed erosion flux that accounts for the effects of sediment-induced stratification in the water column. Owing to difficulties in measuring the bed shear stress _b and the erosive shear strength _s, we suggest a series of methods that combine laboratory and numerical experiments. A simplified turbulent transport model that includes these effects helps to quantify _b and _s. Focusing on soft stratified beds, the present study considers erosion rate formulas of the form =_f exp {[T_b-T_s]} where is a model constant (=1 for Gularte's (1978) formula and =1/2 for Parchure's (1984) formula). First, the bed erosive strength profile _s(Z) is adjusted by forcing the turbulent transport model with measured erosion rates. Second, three procedures are suggested to determine the erosion rate formula coefficients _f and : a global procedure and two different layer-by-layer procedures. Each procedure is applied to an erosion experiment conducted in a rotating annular flume by Villaret and Paulic (1986). The use of the layer-by-layer procedure based on a least squares fitting technique provides a closer fit than the global procedure. The present study points out the complementarity of experimental and numerical approaches and also suggests possible improvements in laboratory test procedures.     

Pall型摩擦阻尼支撑内力计算方法

从Pall摩擦阻尼器四连杆机构的几何非线性变形特征出发，分析框架位移、支撑刚度、阻尼器摩擦力、阻尼器大小、支撑倾角、支撑屈曲力等对一种改进的Pall摩擦阻尼器-T形芯板摩擦阻尼器支撑的受力特点，拟合出可供设计人员使用的实用计算公式。     

加标回收在水质分析中的应用及回收率计算方法

阐述了水质分析中加标回收分析的方法步骤、条件控制及计算方法。当加标体积影响试样在加标水样中的浓度时,直接使用回收率理论计算公式的计算值,均较其真实的回收率偏低,且其偏低值随加标体积的增加而增大。根据加标回收分析的定义,分别以加标前后被测组分质量浓度(mg/L)的变化或含量(μg)的变化为依据,导出两个计算加标回收率的实用公式。采用该公式,加标体积可以不受严格控制,其计算结果与真实的回收率一致,适用于日常水质分析工作。     

关于二轴晶矿物光性正负判别式的讨论

作者同意刘智星的论断:旧的二轴晶矿物光性正负判别式是错误的。本文也对刘智星的推论作了更为简明直观的解释,同时提出一个新的测定二轴晶矿物光性正负的判别式:Nm-N_(45)。应用此判别式检查了近470个二轴晶矿物的光性,发现某些文献中所记载或所引用的资料(折射率或光性符号)有错。     

NaCl—H_2O溶液包裹体的密度式和等容式及其应用

由于含盐类包裹体不能应用现有的状态方程求解,作者根据实验数值,采用最小二乘法等,得到含盐度(wt%)≤25的NaCl-H_2O溶液包裹体的密度式和等容式。只要测定出包裹体的均一温度和含盐度,代入密度式,即可计算包裹体中的流体密度。再由此密度、含盐度的等容式,进一步可求得包裹体的形成温度和压力。最后,作者列举了三个实例。     

方差—协方差分量极大似然估计的通用公式

本文由概括平差函数模型出发，按极大似然做估计原则导出了适用于所有平差函数模型的方差分量估计的通用公式，由Ｋ．Ｋｕｂｉｋ和Ｃ．Ｒ．Ｋｏｃｈ所导出的两个公式都是它的特例。     

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.     

From Celsius to Chaos to Cyclones: Using Temperature-Conversion Equations to Introduce Advanced Mathematical Concepts in Earth Science Courses

The Fahrenheit-to-Celsius temperature-conversion equation is a basic component of many introductory earth science courses. Despite its simplicity, it presents a challenge to students and instructors alike because residents of the United States are unfamiliar with the Celsius scale. By solving for the point at which these two temperature scales are equal, it is possible to use the equations for temperature conversion as a springboard to more advanced topics. It is demonstrated that temperature-conversion equations and chaotic equations can be solved using identical numerical and graphical techniques. As a result, the fundamental concepts of chaos theory and numerical methods can be introduced to students in the context of the simplest equations in the earth sciences. These solution methods are applied to the quantitative theory of the extratropical cyclone as an example of the utility and broad scope of this educational approach.     

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。