The Fourier Integral Method: An efficient spectral method for simulation of random fields

The Fourier Integral Method (FIM) of spectral simulation, adapted to generate realizations of a random function in one, two, or three dimensions, is shown to be an efficient technique of non-conditional geostatistical simulation. The main contribution is the use of the fast Fourier transform for both numerical calculus of the density spectral function and as generator of random finite multidimensional sequences with imposed covariance. Results obtained with the FIM are compared with those obtained by other classic methods: Shinozuka and Jan Method in 1D and Turning Bands Method in 2D and 3D, the points for and against different methodologies are discussed. Moreover, with the FIM the simulation of nested structures, one of which can be a nugget effect and the simulation of both zonal and geometric anisotropy is straightforward. All steps taken to implement the FIM methodology are discussed.     

三分量地震资料中各向异性检测

各向异性研究是当令地震学研究领域中重要课题之一；三分量地震资料中各向异性的检测是各向异性理论研究成果解决地球科学实际问题的重要桥梁。本文简要描述了各向异性介质中横波分裂现象，分别介绍了现有的四种主要检测技术，即偏振图法、协方差拒阵法、质，点振动分辨率法及传输矩阵法，并对这四种技术作了一定的评述。     

统一方差分量估计公式

本文提出了一种适用于协方差阵奇异或非奇异、设计阵列满秩或降秩时的方差分量估计方法;其公式推导简单,形式统一,不需解线性方程组,同时可保证迭代计算方差分量的非负要求。作为特例还和Helmert法及MINQUE法作了比较。最后讨论了用真误差进行方差分量估计的计算公式,并给出了一个测距误差分析的实例。     

The equivalence of predictions from universal kriging and intrinsic random-function kriging

A proof is provided that the predictions obtained from kriging based on intrinsic random functions of orderk are identical to those obtained from anappropriate universal kriging model. This is a theoretical result based on known variability measures. It does not imply that people performing traditional universal kriging will get the same predictions as those using intrinsic random functions, because traditionally these methods differ in how variability is modeled. For intrinsic random functions, the same proof shows that predictions do not depend on the specific choice of the generalized covariance function. It is argued that the choice between these methods is really one of modeling and estimating the variability in the data.     

New Investigation on the Space Group of Chevkinite

Chevkinite specimen from a rare-earth mineral deposit in Sichuan,southwest ofChina have been studied in detail by means of transmission electron microscope(TEM).The selected area electron diffraction(SAED)and convergent beam electron diffraction(CBED)patterns,obtained from different crystal zone axis direction,proved coineidently that the space group of chevkinite is C2/m.Fringe lattice image obser-vation showed the mineral crystal is structurally uniform in microscale,and it is anideal specimen for electron diffraction analysis.The mineral studied here is similar to theone from Bayan Obo,Inner Mongolia,China,in chemical composition and REE distri-bution.The chemical formula of the crystal is(Ce,La,…,Ca)_4 Fe~2-(Fe,Ti,Nb)_2O_8 (Si_2O_7)_2 .From our study,we come to the conclusion that the space group of the natu-ral chevkinite is C2/m,instead of P2_1/a as synthetic one.Up to now,chevkinitecompositionally similar to the synthetic one,in which the complete replacements of Ce,La by Nd and Fe by Mg or Co o     

BAYES方差分量估计在虚拟权平差中的应用

本文把近似Bayes方基分量估计公式应用于矿区扩建网的虚拟权平差中，解决了具体计算中的一些实际问题，最后，通过一矿区扩建网平差实例验证了该方法的可行性．     

Estimation of a multidimensional covariance function in case of anisotropy

A model of a multivariate covariance function with an ellipsoidal directional correlation scale has been developed. The axes of the ellipsoidal scale are related to the eigenvalues and eigenvectors of a matrix B which characterizes the ellipsoid of the range of influence. The matrix B is found to be related to a matrix T which can be estimated directly from sparse sampling data and can be used to determine estimates of the matrix B. The method has been applied to both two-dimensional and three-dimensional cases. The numerical results show that the satisfactory accuracy is obtained with sparse sampling data from an anisotropic random function.     

水准测量往返测较差方差之估计

现有文献中以水准测量往返测较差为统计量估计较差方差已提出许多观点和公式,但对于较差误差模型既没有回答其正确性,也缺乏严密可行的参数估计方法。本文将方差分量的最小范数二次无偏估计(MINQUE)法用于较差方差估计,并提出了以近代回归分析原理为基础的较差误差模型统计检验与比较选择的基本方法。这些估计、分析方法既简单易行又严密合理。最后通过对部分一等水准实测数据试算分析,也初步证实了它们的实际效益。     

Comparison between Pollutant Concentration in the Samples of Fog and Rime Water Collected at Mt. Milešovka

The article aims at showing the differences in concentration of pollutants that are contained in the samples of fog and/or low cloud water in comparison with the water from rime. The results follow from the fog and rime measurements made at Mt. Mileovka (eské Stedohoí Mountains). They are compared with the results of other studies that also report the differences in fog and rime chemistry.