罗德里格矩阵在共线方程严密解法中的应用

在共线方程严密解法中,人们习用的是以方位元素X_s,Y_s,Z_s,φ,ω,κ为未知数的严密公式。本文则以罗德里格旋转矩阵的三个独立元素b,a,c取代角方位元素φ,ω,κ,并推导了相应的误差方程式。理论表明,新方法在组成旋转矩阵和计算误差方程系数中只需作加、减、乘、除等运算而不需解求三角函数,因而节省了计算工作量。     

关于薄壁金刚石钻头胎体性能的探讨

对薄壁金刚石钻头胎体进行了性能分析和配方设计探讨，尤其根据被钻切介质对钻头胎体性能的要求作了较详细的分析，从理论分析结合实践经验筛选出了钻切建筑石材和各种钢筋砼的钻头胎体配方，在生产中满足了钻头工作条件的要求。     

Estimation of Land Subsidence Based on Groundwater Flow Model

This article presents an approach for estimating land subsidence due to withdrawal of groundwater. The proposed method calculates the groundwater seepage in 3-D-condition and calculates the land subsidence one-dimensionally. The governing equation on groundwater seepage is based on the three-dimensional mass conservation law and the principle of effective stress. The land subsidence calculation method is derived based on the following assumptions: (1) displacements occur only in the vertical direction, and (2) in vertical direction the total stresses do not change. The governing equation is solved by numerical method, i.e., finite element method (FEM) in spatial discretization and finite difference method (FDM) in time series discretization. In FEM Galerkin method is adopted and in FDM, lumped matrix method is employed. The proposed method is calibrated via analyzing 1-D consolidation problem and the results are compared with those from Terzaghi's one-dimensional consolidation theory and oedometer test. The proposed method is employed to analyze the consolidation of a soft layer due to withdrawal of groundwater from an aquifer under it. Moreover, this method is also applied to a field case of land subsidence due to groundwater pumping in a gas production field in Japan. The analytical results are compared with the field observed data. The results show that this approach simulates the field case well.     

New finite-gap solutions for the coupled Burgers equations engendered by the Neumann systems

On the tangent bundle TS^N-1 of the unit sphere S^N-1, this paper reduces the coupled Burgers equations to two Neumann systems by using the nonlinearization of the Lax pair, whose Liouville integrability is displayed in the scheme of the r-matrix technique. Based on the Lax matrix of the Neumann systems, the Abel--Jacobi coordinates are appropriately chosen to straighten out the restricted Neumann flows on the complex torus, from which the new finite-gap solutions expressed by Riemann theta functions for the coupled Burgers equations are given in view of the Jacobi inversion.     

基于MATLAB的基本矩阵随机采样鲁棒估计

基本矩阵的估算可以分为线性算法、非线性优化迭代算法、鲁棒估计算法三大类,而以鲁棒估计效率、效果最为突出,但是实现比较复杂。本文通过数码相机获取的两张未标定照片,采样互相关系数法和RANSAC算法,在MATLAB中实现了基本矩阵的自动拟合,实验表明拟合精度较高、速度快,为下一步三维场景的自动重建和量测奠定了基础。     

Solution of the propagation of the waves in open channels by the transfer matrix method

Many problems in mechanics can be solved by the use of the transfer matrix method. The use of this method in hydraulics engineering is not widespread and only limited studies are available. In this study, linearized St. Venant equations were used and the use of transfer matrix in ocean engineering was investigated for long waves in open channels, and numerical application was carried out. The results obtained through the transfer matrix method, which is quite easy to use, program and comprehend, showed similar results obtained from the characteristics method and finite differences method.     

Growth Aspects and Magnesium Carbonate Concentrations of the Reef Building Octocoral Heliopora coerulea (Pallas) after Transplantation

Abstract. An experiment to test C have's hypothesis on temperature dependent MgCO₃ concentrations in marine calcareous skeletons was undertaken by transplanting colonies of Heliopora coerulea. The corals were transferred from a shallow lagoon with high average temperatures to the outer bottom of a fringing reef, 16 m depth, with low average temperatures. Against expectation, a statistically significant increase of average mol % concentrations from 0.48 to 0.54 % for upper growth regions and from 0.49 to 0.62% for lower growth regions was obtained. Temperature records during the experimentation period and the above data indicate that the mol% MgCO₃ concentration in the skeleton of living Heliopora colonies increases when transplanted to an environment with a lower temperature average than that of their original growth site, and with seasonal temperature fluctuations which are smaller in the experimental site than in the control site. Temperature fluctuations at the control site were up to 2.5 times greater than at the experimental site for most of the observation months. This supports the conclusion that the parameters a) minimum temperature and b) temperature stability of the environment are essential for the incorporation of Mg into the carbonate skeleton matrix of marine organisms. Within this study the results of a quantitative chemical analysis of the carbonate skeleton of H. coerulea are presented and growth data of transplanted colonies compared with those from the control site.     

关于二阶伴随模型的理论研究

Hesse矩阵-目标函数关于控制变量的二阶偏导数形成的矩阵,在变分数据同化过程中以及敏感性分析等方面起着重要的作用;它可以通过建立数学模型的一阶和二阶伴随模型求得.以浅水方程模型为例,利用泛函的Gâteaux微分和Hilbert空间上伴随算子的概念,导出了一阶和二阶伴随模型并由此得到Hesse矩阵.改进了Zhi Wang等(1992)建立的二阶伴随模型理论.     

基于模糊综合评判理论的过驳系统效率计算方法

如何计算整个系统的运转效率，特别是受不确定因素影响的系统(如过驳系统)，仍然是一个非常重要的研究课题。文章提出基于模糊综合评判方法的效率计算方法，是一种新的尝试，这种方法较好的避免了人的主观随意性，更符合实际情况，同时又可以弥补统计方法的不足。文章对某沿海地区的一过驳系统进行了效率计算，取得比较好的效果。     

Investigation and sensitivity analysis of a mechanistic phytoplankton model implemented in a new modular numerical tool (Eco3M) dedicated to biogeochemical modelling

A new class of phytoplankton models with a mechanistic basis has been presented in a companion paper (Baklouti, M., Diaz, F., Pinazo, C., Faure, V., Queguiner, B., 2006. Investigation of mechanistic formulations depicting phytoplankton dynamics for models of marine pelagic ecosystems. Progress in Oceanography). It is the default class of models implemented in our new numerical tool Eco3M, which is dedicated to Ecological, Mechanistic and Modular Modelling. A brief overview of its main features is given in Section 2 of the present paper. In the next sections, a particular phytoplankton model among the aforementioned class has been tested with special emphasis on the mechanistic photosynthesis component relating the photosynthetic rate to the proportion of open photosystems II. The present study encompasses several essential steps that are inherent to any modelling, including model reduction, model sensitivity analysis and comparison of model outputs with experiments. The global sensitivity analysis of the plankton model for one-at-a-time parameter perturbations revealed a restricted set of parameters having major influence on the model outputs. Sensitivity tests involving simultaneous parameter perturbations within the range actually encountered in the literature provided a confidence interval for the outputs. Chemostat experiments performed on nitrate-limited diatoms grown under low (LL) and high-light (HL) conditions have been used for comparison with model outputs. The good fit between measured data and model outputs using the same parameter values in both the LL and HL cases demonstrates the ability of our model to represent the main features of phytoplankton dynamics including photoacclimation. Finally, Eco3M is ultimately intended to include explicit bacterial and zooplankton compartments, as well as to be coupled with ocean circulation models, but the intrinsic behavior of the phytoplankton model has been investigated first, independently of physical forcing.