Applications of Lodrigues Matrix in 3D Coordinate Transformation     

YAO Jili XU Yufei XIAO Wei 《地球空间信息科学学报》2007,10(3):173-176

Three transformation models (Bursa-Wolf, Molodensky, and WTUSM) are generally used between two data systems transformation. The linear models are used when the rotation angles are small; however, when the rotation angles get bigger, model errors will be produced. In this paper, we present a method with three main terms: ① the traditional rotation angles θ , φ ,ψ are substituted with a , b, c which are three re-spective values in the anti-symmetrical or Lodrigues matrix; ② directly and accurately calculating the formula of seven parameters in any value of rotation angles; and ③ a corresponding adjustment model is established. This method does not use the triangle function. Instead it uses addition, subtraction, multiplication and division, and the complexity of the equation is reduced, making the calculation easy and quick.  相似文献   

电感耦合等离子体发射光谱法测试地质样品中的基体效应及校正办法     

杨柳  唐振  王海娇 《地质与资源》2020,29(3):289-293

电感耦合等离子体发射光谱（ICP-AES）法分析速度快、干扰较少并能同时测定多种元素，被广泛应用于地质调查样品的分析测试中，成为通用的无机化学元素分析测试工具.在测定复杂基体样品时，由于基体效应产生的各种干扰也会影响分析测试结果，包括光谱干扰、物理干扰、化学干扰、电离干扰等.以ICAP-6000型号仪器为例，结合仪器特点及实际工作经验，对复杂基体地质样品测定中出现干扰的原因、特点进行分析，探讨基体消除的方法以保障测试结果的准确性.  相似文献   

矩阵广义初等变换及其运用     

胡军胜 《广东海洋大学学报》1998,(1)

提出了关于分块矩阵的广义初等变换这一概念,以此为工具简化了一些复杂矩阵问题的解决方法。  相似文献   

三维空间实体间拓扑关系的矩阵描述   总被引：1，自引：0，他引：1  

陈军  郭薇 《武汉大学学报(信息科学版)》1998,(4)

三维空间实体及其间拓扑关系的语义描述和形式化表达是三维ＧＩＳ空间数据建模的重要理论基础。在ｋ－维流形的三维空间实体形式化描述方法的基础上,根据三维空间实体的可剖分性,采用顾及维数的九元组描述框架,研究用于构成三维实体的ｋ－单纯形（０≤ｋ≤３）之间的拓扑空间关系,继而研究三维实体间的拓扑空间关系。  相似文献   

立体视觉的摄影测量理论   总被引：1，自引：0，他引：1  

单杰 《武汉大学学报(信息科学版)》1998,(4)

从引入空间投影变换的概念入手,证明了体积之交比为一般的投影不变量,从而将其作为描述物体的度量。通过对基础矩阵进行合适的分解,导出了确定投影变换模型之齐次坐标和投影坐标的方法。提出了三维直接线性变换用于由物体的投影变换模型进行物体重建。实验分析证实了所述理论和方法的正确性。  相似文献   

Calculation of the Inverse of the Covariance     

Dean S. Oliver 《Mathematical Geology》1998,30(7):911-933

In reservoir characterization, the covariance is often used to describe the spatial correlation and variation in rock properties or the uncertainty in rock properties. The inverse of the covariance, on the other hand, is seldom discussed in geostatistics. In this paper, I show that the inverse is required for simulation and estimation of Gaussian random fields, and that it can be identified with the differential operator in regularized inverse theory. Unfortunately, because the covariance matrix for parameters in reservoir models can be extremely large, calculation of the inverse can be a problem. In this paper, I discuss four methods of calculating the inverse of the covariance, two of which are analytical, and two of which are purely numerical. By taking advantage of the assumed stationarity of the covariance, none of the methods require inversion of the full covariance matrix.  相似文献   

Hydrocarbon Generating Potential of Mineral—Bituminous Matrix in Source Rocks     

陈建平  黄第藩 《中国地球化学学报》1998,17(3):234-240

Mineral-bituminous matrix(MBM) makes up a major part of source rocks,but its potential in hydrocarbon generation is uncertain,Mineral and organic (Maceral and kerogen) compositions,organic maturity and fluorescence of MBM are studied based on source rock samples from eastern Jiuquan(Jiudong)Basin.The results show that MBM is dominated by inorganic minerals and among the small percentage of organic components those of secondary origins are predominant over the primary species.This strongly indicates that the significance of MBM in hydrocarbon generation is limited.  相似文献   

四川甘孜生康剪切混杂岩带物质组成、变形特征及演化历史     

江元生  葛梦春 《四川地质学报》1998,(2)

甘孜生康剪切混杂岩带,它初始发育在陆棚与大陆基之间,是“再生”小洋盆关闭、俯冲－碰撞乃至斜冲剪切、左行走滑综合作用的产物。带内由不同岩性,不同层位,不同时代的构造岩块与遭受强烈剪切变形的粉砂岩、板岩“基质”组合而成。宏观上,无层无序,块体内有序,是造山带特有的非史密斯地层体。  相似文献   

Numerical simulation of ground acceleration spectra and accelerograms for engineering application     

S. J. Gibowicz  J. Pajchel  Z. Droste  J. Hordejuk 《Pure and Applied Geophysics》1980,119(2):380-391

A numerical approach to the earthquake ground motion analysis is proposed for regions where no accelerograms are available. Using Haskell matrix techniques, the response spectra of a layered substratum for SV waves were calculated and then multiplied by the spectra corresponding to Brune's type pulses. The ground acceleration spectra were obtained for different angles of pulse incidence at the substratum base. The spectrum shape depends upon the substratum response and the pulse shape, while its level was related to the maximum ground acceleration corresponding to the expected maximum intensity. Transformation of the ground spectra into the time domain produced numerical accelerograms for horizontal and vertical components and for different angles of pulse incidence. Finally, a standard statistical procedure was applied to obtain the design response spectra used in engineering applications.  相似文献   

Experimental and computational validation and verification of the Stokes–Darcy and continuum pipe flow models for karst aquifers with dual porosity structure     

Xiaolong Hu  Xiaoming Wang  Max Gunzburger  Fei Hua  Yanzhao Cao 《水文研究》2012,26(13):2031-2040

In our previous study, we developed the Stokes–Darcy (SD) model was developed for flow in a karst aquifer with a conduit bedded in matrix, and the Beavers–Joseph (BJ) condition was used to describe the matrix–conduit interface. We also studied the mathematical well‐posedness of a coupled continuum pipe flow (CCPF) model as well as convergence rates of its finite element approximation. In this study, to compare the SD model with the CCPF model, we used numerical analyses to validate finite element discretisation methods for the two models. Using computational experiments, simulation codes implementing the finite element discretisations are then verified. Further model validation studies are based on the results of laboratory experiments. Comparing the results of computer simulations and experiments, we concluded that the SD model with the Beavers–Joseph interface condition is a valid model for conduit–matrix systems. On the other hand, the CCPF model with the value of the exchange parameter chosen within the range suggested in the literature perhaps does not result in good agreement with experimental observations. We then examined the sensitivity of the CCPF model with respect to the exchange parameter, concluding that, as has previously been noted, the model is highly sensitive for small values of the exchange parameter. However, for larger values, the model becomes less sensitive and, more important, also produces results that are in better agreement with experimental observations. This suggests that the CCPF model may also produce accurate simulation results, if one chooses larger values of the exchange parameter than those suggested in the literature. Copyright © 2011 John Wiley & Sons, Ltd.  相似文献