Descriptive statistics for N -dimensional closed arrays: A spherical coordinate approach

Recent publications have demonstrated that the composition of a system can be described by the angles which define the vector resulting from the projection of the composition onto the unit hypersphere. Although published trigonometric relationships allow determination of the angles in any number of dimensions, no general hyperdimensional recursive formulae exist for the calculation of these quantities and their variances and covariances. A general methodology for calculating the angles which describe the compositions of systems in any number of dimensions is presented. These angles can be used to calculate statistics (central moments and resultant vectors) describing the central tendency and dispersion among rock compositions, as well as to quantify the angular differences between compositions. Equations that relate the variances and covariances of these angular variables to the variances and covariances of the actual component proportion variables are presented, allowing projection of these measurements from one reference frame to another (cartesian to spherical and vice versa).     

岩浆分离结晶作用过程微量元素反演

介绍岩浆分离结晶作用中微量元素系统反演的基本原理和方法,反演计算中极小化问题的求解,反演所需要的优选模式参数估计方法,进行反演的计算机程序,利用模拟数据和实测数据检验了方法和程序的有效性.     

甫沙-曲吕西地区电磁阵列剖面法研究

通过对塔里木盆地西南缘甫沙-曲吕西地区电法勘探(CEMP),以电性剖面为主,综合地震、重力、地面地质等资料,运用前陆盆地构造分析学理论,对该区构造式样及局部构造进行了研究,摸索了一套研究复杂构造的方法,弥补了地震勘探的不足.     

Broadband synthetic aperture borehole radar interferometry

Trials in mines have established that wideband VHF borehole radars (BHR), working in the 10–100-MHz band, can be used to probe the rockmass between boreholes over ranges from <5 m to as much as 150 m with submeter resolution. There is evidence that ore bodies reflect these radar signals both specularly and diffusely, much as the ground/air interface does when overflown by synthetic aperture radar (SAR). In both SAR and BHR, multiple flight lines, together with diffuse reflections admit the possibility of developing interferometric 3D images of the object. This paper examines the possibility of imaging buried objects in three dimensions by interferometrically combining broadband VHF borehole radar profiles shot in adjacent pairs of boreholes. Broadbanding in BHR has the advantage of releasing the image from 2nπ phase ambiguities, but practically, interferometric borehole radar (InBHR) needs high signal-to-noise ratios (SNR) to avoid noise capture. This means that 3D InBHR is limited to ranges in wavelengths which are less than the rock's attenuation factor Q. Interferometric methods are developed which are capable of mapping ore bodies and other structures in three dimensions. Tangent plane migration methods are developed here in order to reconstruct surfaces that lie in the near-field of sparse interferometric arrays.     

Orbit injection error analysis for the Lageos III mission

An analysis is presented of the orbital injection errors for the Lageos III satellite mission. Several methods are introduced for the solution of the Inverse Problem in the Theory of Errors. The novelty of the present approach consists in the use of the full geopotential covariance matrix in the error propagation equations. The GEM-T1 covariance matrix is used. It is found that by properly accounting for the correlation among the even zonal harmonic coefficients the acceptable error bounds increase by an order of magnitude with respect to the case when only the variances are used. The most stringent constraint, even when using the full covariance, is on inclination, whose nominal value must be realized within approximately 0.1° for the recovery of the Lense-Thirring precession to be successful at the 3% level (accounting only for injection errors). The associated tolerance in the semimajor axis is about 30 km while that in eccentricity is approximately 0.2. However, if the errors in semimajor axis and eccentricity can be kept to the routinely achievable levels respectively of 10 km and 0.004, then the tolerance in inclination can be relaxed to 0.2°.     

卫星摄影三线阵CCD影像的EEP法空中三角测量（三）

4 平差方案及模拟数据平差实验4.1 自由网+控制点空中三角测量由前方交会(2.1)式,后方交会(2.2)式以及外方位元素平滑制约条件(2.3)式,可以构成类似经典的光束法空中三角测量,但由于EFP像点坐标是推算出来的,所以控制点不宜直接参与平差过程.于是平差要分成自由网平差及利用控制点作三维线性变换两个步骤.另一方面,卫星摄影中起始角元素大约在±0.5°左右,对于经典空中三角测量,角元素起始近似值均可按零处理.但在EFP平差中,φ角起始值φ0对空中三角测量,像元素起始近似值均可按零处理.在EFP平差中,φ角起始值φ0对整条航线的几何状态影响很大,必须采用特殊的程序预先加以确定.我们采用不断步进φ角值,比较由前方交会及(1.2)式计算的Y视差的均方根值最小者,即作为φ的最佳起始值.平差框图见图4.     

逆气压改正对卫星测高数据反演潮汐参数的影响

定量分析了逆气压改正对各主分潮潮汐参数反演的影响。结果表明,逆气压改正对Sa的反演结果影响最大,在Sa的实际振幅中,气压变化的平均贡献比率为42%,气压变化使Sa的迟角减小了约27°,而对其他主分潮的影响可忽略不计。建议在应用卫星测高数据时,不加逆气压改正,但在数据处理时,需加Sa分潮的改正。