数值积分过程中截断误差和舍入误差的分离方法及其效果检验   总被引：2，自引：0，他引：2  

王鹏飞  黄荣辉  李建平 《大气科学》2011,35(3):403-410

本文讨论数值积分过程中截断误差和舍入误差的分离方法和理论,解析地给出某些数值计算方法的理论截断误差,并以此来分离计算结果中的误差.然后引入参考解的办法,用来分离更为一般的微分方程求解过程中的截断误差和舍入误差.以参考解算法为基础,对一个偏微分方程的数值解进行计算,所得结果与采用理论截断误差得到的结果进行了对比,发现:(...  相似文献   

Early evaluation of coastal nutrient over-enrichment: new procedures and indicators     

Goberville E  Beaugrand G  Sautour B  Tréguer P 《Marine pollution bulletin》2011,62(8):1751-1761

Recent studies have provided compelling evidence for an accelerated anthropogenic impact on coastal systems, resulting in intense inputs of materials and nutrients from the continent. This has led scientists and policymakers to encourage the implementation of monitoring programmes, which have resulted in the multiplicity of datasets. However surprisingly, only a few attempts have been made to couple observations with statistical and mathematical tools to detect, as soon as the data become available perturbations in coastal systems. Here, we propose new mathematical procedures to evaluate the state of a system, based on the building of relative reference state and indicators of nutrient over-enrichment. The techniques were tested in some French coastal systems using data from the programme SOMLIT. Applied to this dataset, the multivariate procedures rapidly identified and evaluated anthropogenic nutrient anomalies from the continent on three sites (Wimereux, Roscoff and Villefranche-sur-Mer) from 1997 onwards.  相似文献   

基于Monte Carlo模拟技术的液化危险性分析     

符圣聪  江静贝  黄世敏 《地震工程与工程振动》2011,31(5):149-156

利用Monte Carlo模拟技术考虑了震源和震级的贡献及抗液化阻力的概率分布,将液化安全系数的倒数作为工程需求参数,对土层的液化危险性作概率估计,可以满足基于性态的抗震设计对于不同设防水平工程场地液化安全判定的要求。在文中应用该方法对北京地区若干场址多种设定土层情况分别进行了液化危险性分析,并在所得的大量模拟样本的基础上,引入液化需求锤击数基准值概念和土层埋深水位影响系数,进行统计分析,提出了本地区简化的液化危险性估计方法。验算表明,该简化方法有一定的合理性,也便于一般设防工程使用。作者认为其它地区也可以依此途径建立适合于该地区的液化危险性的估计方法。  相似文献   

水系沉积物标准物质研制   总被引：4，自引：3，他引：1  

程志中  刘妹  张勤  顾铁新  黄宏库 《岩矿测试》2011,30(6):714-722

为满足区域地球化学调查及矿产勘查的需要,新研制了15个水系沉积物标准物质,其中6个样品是原有水系沉积物标准物质的复制,9个新研制的样品主要采自中国北方的森林沼泽和干旱荒漠特殊景观区。样品粒度依据区域地球化学调查规范的要求,森林沼泽区采样粒级为2.0～0.22 mm,干旱荒漠区采样粒级为4.76～0.90 mm,山区和丘陵地区的采样粒级为小于0.22 mm。样品在室内晾干后在110℃烘24 h,置于大型高铝瓷球磨机粉碎并混匀,使样品中小于0.074 mm的部分大于99%以上。样品采用波长色散X射线荧光光谱进行进行均匀性检验,方差检验的F值小于临界值,所有元素的RSD均小于4%,大部分元素的RSD小于3%,P、Mn、Ti、Fe2O3、K2O等元素的RSD小于1%,证明样品均匀性良好。经2年内4次分析,检验结果表明对所检验的元素和成分均未发现统计学意义的明显变化,证明样品的稳定性良好。采用多家家实验室用不同原理的方法联合定值,邀请全国15家有资质的实验室采用准确度较高的方法分析测试约72种组分,根据ISO导则35和国家一级标准物质研制规范的要求,计算15种水系沉积物标准物质中72种元素和组分的标准值(部分组分给出参考值)和不确定度,这些新研制的标准物质是原有水系沉积物标准物质的一个补充。  相似文献   

Determination of Precise and Accurate 51V/50V Isotope Ratios by Multi‐Collector ICP‐MS,Part 2: Isotopic Composition of Six Reference Materials plus the Allende Chondrite and Verification Tests     

Julie Prytulak  Sune G. Nielsen  Alex N. Halliday 《Geostandards and Geoanalytical Research》2011,35(3):307-318

We present the first measurements of vanadium (V) stable isotopes for six reference materials – USGS PCC‐1, BHVO‐2, BCR‐2, BIR‐1a, GSP‐2 and AGV‐2 – plus the widely available carbonaceous chondrite Allende. We present standard addition and matrix spiking tests to assess the robustness and reproducibility of our data. Standard addition utilised an enriched ⁵⁰V solution designated VISSOX (Vanadium Isotope Standard Solution OXford). We further assessed the veracity of the method by spiking collected sample matrices with the same amount of a V standard solution, whose isotopic composition was defined as 0‰. Standard addition and matrix spiking tests recorded no appreciable artificial isotope fractionation. We estimate that the best currently attainable long‐term reproducibility of stable ⁵¹V/⁵⁰V isotope measurements in complex matrices is 0.15‰, which is in the same order as the reproducibility achievable with standard solutions. Finally, a large range of ～ 1.2‰ in stable V isotopic composition was documented, with ～ 0.5‰ of that variation in high temperature igneous materials alone. The range and resolving power of V stable isotopes, with respect to igneous material, compared favourably with the magnitude of fractionation reported for other non‐traditional stable isotope systems, which bodes well for the utility of this new system.  相似文献   

Flux‐Free Fusion of Silicate Rock Preceding Acid Digestion for ICP‐MS Bulk Analysis     

Kenji Shimizu  Qing Chang  Kentaro Nakamura 《Geostandards and Geoanalytical Research》2011,35(1):45-55

We present a new method for the decomposition of silicate rocks by flux‐free fusion in preparation for whole‐rock trace element determination (Sc, Rb, Sr, Y, Zr, Nb, Cs, Ba, rare earth elements and Hf) that is especially applicable to zircon‐bearing felsic rocks. The method was verified by analyses of RMs of mafic (JB‐1a, JB‐2, JGb‐1) and felsic rocks (JG‐3, JR‐3, JSd‐1, GSP‐2, G‐2). Pellets of powdered sample (up to 500 mg) without flux were weighed and placed in a clean platinum crucible. The samples were then fused in a Siliconit® tube furnace and quenched to room temperature. The optimum condition for the fusion of granitic rock was determined to be heating for 2–3 min at 1600 °C. The fused glass in the platinum crucible after heating was decomposed using HF and HClO₄ in a Teflon® beaker. Decomposed and diluted sample solutions were analysed using a quadrupole inductively coupled plasma‐mass spectrometer. Replicate analyses (n = 4 or 5) of the RMs revealed that analytical uncertainties were generally < 3% for all elements except Zr and Hf (～ 6%) in JG‐3. These higher uncertainties may be attributed to sample heterogeneity. Our analytical results for the RMs agreed well with recommended concentrations and recently published concentrations, indicating complete decomposition of our rock samples during fusion.  相似文献   

Comprehensive Chemical and Isotopic Analyses of Basalt and Sediment Reference Materials   总被引：2，自引：0，他引：2  

Catherine Chauvel  Sarah Bureau  Christèle Poggi 《Geostandards and Geoanalytical Research》2011,35(1):125-143

Geochemical studies of geological samples require the precise determination of their major and trace element contents and, when measured, of their isotopic compositions. It is now commonly accepted that the accuracy and precision of geochemical analyses are best estimated by the concomitant analysis of international reference materials run as unknown samples. Although the composition of a wide selection of basalts is relatively well constrained, this is far from being the case for sedimentary materials. We present here a comprehensive set of major and trace element data as well as Nd, Hf, Sr and Pb isotopic compositions for thirteen commonly used international reference materials – eight magmatic rocks (BHVO‐2, BR, BE‐N, BR 24, AGV‐1, BIR‐1, UB‐N, RGM‐1) and five sediments (JLk‐1, JSd‐1, JSd‐2, JSd‐3, LKSD‐1). We determined the concentrations of over forty elements in the magmatic rocks together with Sr, Nd, Hf and Pb isotopic compositions. Our trace element results were both accurate (difference ≤ 3%) and precise (reproducibility at 1s ≤ 3%) and the isotopic results were very similar to other published values. In contrast, we observed a significant chemical and isotopic variability in the sedimentary materials, which we attribute to mineral heterogeneities in the powders. Despite the limitation imposed by this heterogeneity, our work presents a complete set of data determined with a precision not yet achieved in the literature for sedimentary material. We also provide the first Nd, Hf and Pb isotopic measurements for the five sediments, which are commonly used by the geochemical community. Our study of both basalt and sediment reference materials represents a comprehensive and self‐consistent set of geochemical data and can therefore be considered as a reference database for the community.  相似文献   

Proposal for an International Molybdenum Isotope Measurement Standard and Data Representation     

Thomas F. Nägler  Ariel D. Anbar  Corey Archer  Tatiana Goldberg  Gwyneth W. Gordon  Nicolas D. Greber  Christopher Siebert  Yoshiki Sohrin  Derek Vance 《Geostandards and Geoanalytical Research》2014,38(2):149-151

Molybdenum isotopes are increasingly widely applied in Earth Sciences. They are primarily used to investigate the oxygenation of Earth's ocean and atmosphere. However, more and more fields of application are being developed, such as magmatic and hydrothermal processes, planetary sciences or the tracking of environmental pollution. Here, we present a proposal for a unifying presentation of Mo isotope ratios in the studies of mass‐dependent isotope fractionation. We suggest that the δ^98/95Mo of the NIST SRM 3134 be defined as +0.25‰. The rationale is that the vast majority of published data are presented relative to reference materials that are similar, but not identical, and that are all slightly lighter than NIST SRM 3134. Our proposed data presentation allows a direct first‐order comparison of almost all old data with future work while referring to an international measurement standard. In particular, canonical δ^98/95Mo values such as +2.3‰ for seawater and ?0.7‰ for marine Fe–Mn precipitates can be kept for discussion. As recent publications show that the ocean molybdenum isotope signature is homogeneous, the IAPSO ocean water standard or any other open ocean water sample is suggested as a secondary measurement standard, with a defined δ^98/95Mo value of +2.34 ± 0.10‰ (2s).  相似文献   

Precise Determination of Sm and Nd Concentrations and Nd Isotopic Compositions in Highly Depleted Ultramafic Reference Materials     

Zhuyin Chu  Jinghui Guo  Yueheng Yang  Liang Qi  Chaofeng Li 《Geostandards and Geoanalytical Research》2014,38(1):61-72

In this study, a high‐precision method for the determination of Sm and Nd concentrations and Nd isotopic composition in highly depleted ultramafic rocks without a preconcentration step is presented. The samples were first digested using the conventional HF + HNO₃ + HClO₄ method, followed by the complete digestion of chromite in the samples using HClO₄ at 190–200 °C and then complete dissolution of fluoride formed during the HF decomposition step using H₃BO₃. These steps ensured the complete digestion of the ultramafic rocks. The rare earth elements (REEs) were separated from the sample matrix using conventional cation‐exchange chromatography; subsequently, Sm and Nd were separated using the LN columns. Neodymium isotopes were determined as NdO⁺, whereas Sm isotopes were measured as Sm⁺, both with very high sensitivity using single W filaments with TaF₅ as an ion emitter. Several highly depleted ultramafic rock reference materials including USGS DTS‐1, DTS‐2, DTS‐2b, PCC‐1 and GSJ JP‐1, which contain extremely low amounts of Sm and Nd (down to sub ng g^?1 level), were analysed, and high‐precision Sm and Nd concentration and Nd isotope data were obtained. This is the first report of the Sm‐Nd isotopic compositions of these ultramafic rock reference materials except for PCC‐1.  相似文献   

Non‐Matrix‐Matched Calibration for the Multi‐Element Analysis of Geological and Environmental Samples Using 200 nm Femtosecond LA‐ICP‐MS: A Comparison with Nanosecond Lasers     

Klaus Peter Jochum  Brigitte Stoll  Ulrike Weis  Dorrit E. Jacob  Regina Mertz‐Kraus  Meinrat O. Andreae 《Geostandards and Geoanalytical Research》2014,38(3):265-292

LA‐ICP‐MS is one of the most promising techniques for in situ analysis of geological and environmental samples. However, there are some limitations with respect to measurement accuracy, in particular for volatile and siderophile/chalcophile elements, when using non‐matrix‐matched calibration. We therefore investigated matrix‐related effects with a new 200 nm femtosecond (fs) laser ablation system (NWRFemto200) using reference materials with different matrices and spot sizes from 10 to 55 μm. We also performed similar experiments with two nanosecond (ns) lasers, a 193 nm excimer (ESI NWR 193) and a 213 nm Nd:YAG (NWR UP‐213) laser. The ion intensity of the 200 nm fs laser ablation was much lower than that of the 213 nm Nd:YAG laser, because the ablation rate was a factor of about 30 lower. Our experiments did not show significant matrix dependency with the 200 nm fs laser. Therefore, a non‐matrix‐matched calibration for the multi‐element analysis of quite different matrices could be performed. This is demonstrated with analytical results from twenty‐two international synthetic silicate glass, geological glass, mineral, phosphate and carbonate reference materials. Calibration was performed with the certified NIST SRM 610 glass, exclusively. Within overall analytical uncertainties, the 200 nm fs LA‐ICP‐MS data agreed with available reference values.  相似文献