The kinematic dynamo action of spiralling convective flows

We consider the kinematic production of magnetic fields in a sphere by velocity fields dominated by differential rotation and spiralling convective cells. The high magnetic Reynolds number limit of Braginsky (1964) is considered and formulae are derived allowing an α-effect parametrization of such flows to be easily calculated. This permits an axisymmetric system to be investigated in parallel with the direct 3-D numerical computations. Good agreement between the asymptotic and 3-D calculations is found. The 'spiralling' property typical of convective motion in rotating spheres is important in terms of dynamo action; the differential rotation coexisting with this feature is also vital. Indeed, it is the presence of both features which allows the analysis of Braginsky to be employed. With flows approximating the columnar form anticipated for rapidly rotating convection, dynamo action is relatively easily achieved for all azimuthal wavenumbers; modes of differing wavenumbers interact almost by a simple superposition. With flows of more complex latitudinal form, the mutual interactions between modes become more complicated. For columnar-type flows, dipole magnetic fields are favoured when the sense of outward spiralling is prograde and the zonal flow is eastwards, as is physically preferred.     

韧性剪切带相关褶皱研究进展

褶皱是韧性剪切带内普遍发育的构造变形,是研究韧性剪切带乃至造山带构造作用的桥梁,但是对于剪切带中存在的这类褶皱国内尚无统一命名,本文根据剪切带内褶皱的最新研究成果,引进了“韧性剪切带相关褶皱”的概念。目前,国内外学者对韧性剪切带相关褶皱(尤其是鞘褶皱)的研究多集中在运动学和动力学上。本文介绍了韧性剪切带相关褶皱的类型及其研究方法,为客观理解韧性剪切带相关褶皱的形成机制提供了新思路和方法,进而为恢复陆内造山作用过程提供了客观的约束条件。     

井下凿岩机器人自主操作方法研究进展

目前钻孔机器人位姿调节多采用手动遥控调节与人工复测结合,未实现全自动调节,开环控制精度低、自动化能力低、无法实现煤矿用探放水、防突和防冲钻孔机器人精确开孔定位与孔群全自动施工。通过分析钻孔机器人钻臂结构和动作,建立了钻臂运动学模型;通过对加工误差、机身变形、装配间隙等影响因素分析,发现采用回转减速器蜗轮蜗杆结构间隙会引起倾角和方位角误差放大,并在机身平时会引起倾角和方位角误差最大达0.85°;为消除误差,首先采用传统钻臂运动学误差补偿方法建立了钻臂静、动态误差补偿模型,利用全站仪测试关节间隙和变形量,基于补偿模型和RBF神经网络法求逆解得到误差补偿量,钻臂期望位姿与实际位姿误差的x方向平均误差为9.6 mm,y方向平均误差为18.2 mm,z方向平均误差为16 mm,满足工程应用要求;其次为解决传统全站仪试验测量的方法的复杂性和非实时性问题,提出了一种通过激光测距仪和高精度开孔定向仪组合获得位姿误差检测的方法,通过测距实时计算实际和理论倾角、方位角差值,作为误差补偿后的新倾角和方位角的控制输入量,对钻臂进行实时误差检测与补偿;最后利用传统全站仪精度检测方法对激光测距组合位姿误差补偿模型进行验证。试验表明：激光测距组合定位误差检测法最大误差差值在±0.5°以内,方位角最大误差在±0.5°以内,比未采用误差补偿前分别提高了41.1%和37.5%,满足了钻孔机器人开孔定位误差要求。在煤炭行业开展了钻孔机器人钻臂在线精确定位与误差补偿研究,对钻孔机器人精确自动开孔定位及孔群全自动施工具有重要的借鉴和指导意义。

     

Internal testing of a numerical model of hillslope–channel coupling using laboratory flume experiments

The numerical model COUP 2D simulates the hydrological coupling between hillslopes and the river channel during a rainfall event. In order to test the numerical model, a 1:100 scaled laboratory flume which was modified to incorporate lateral hillslope elements, was used to run a series of experiments in which hillslope angle, channel angle, hillslope discharge and channel discharge were the varying parameters. Overall, there were 18 different experimental configurations with three replicates carried out for each condition, leading to a total of 54 experiments. These conditions were then used to parameterize and run COUP 2D. Internal model outputs of flow depth and flow velocity at four cross‐sections in the channel were compared to the measurements made in the physical model for the same parameter conditions. Statistical comparisons of the measured and modelled data were carried out for each experiment and across all experiments, using two goodness‐of‐fit measures—root mean square error and Nash–Sutcliffe coefficient of efficiency—in order to assess the performance of the model over an entire simulation as well as over all the simulations. The main effects on the goodness‐of‐fit measures for flow depth of each experimental variable, as well as the interactions between variables, were evaluated using statistical modelling. The results show that the model captures flow‐depth variations in response to changing channel and hillslope parameters. Statistical modelling suggests that the main effects on model error are cross‐section position, channel angle and channel discharge. Significant interactions also occur between all the channel variables and between the channel variables and hillslope discharge. The results of the testing procedure have significant implications for the consideration of different model components and for the interaction between data‐ and model evaluation. Copyright © 2007 John Wiley & Sons, Ltd.     

Three‐parameter discontinuous distributions for hydrological samples with zero values

A consistent approach to the frequency analysis of hydrologic data in arid and semiarid regions, i.e. the data series containing several zero values (e.g. monthly precipitation in dry seasons, annual peak flow discharges, etc.), requires using discontinuous probability distribution functions. Such an approach has received relatively limited attention. Along the lines of physically based models, the extensions of the Muskingum‐based models to three parameter forms are considered. Using 44 peak flow series from the USGS data bank, the fitting ability of four three‐parameter models was investigated: (1) the Dirac delta combined with Gamma distribution; (2) the Dirac delta combined with two‐parameter generalized Pareto distribution; (3) the Dirac delta combined with two‐parameter Weibull (DWe) distribution; (4) the kinematic diffusion with one additional parameter that controls the probability of the zero event (KD3). The goodness of fit of the models was assessed and compared both by evaluation of discrepancies between the results of both estimation methods (i.e. the method of moments (MOM) and the maximum likelihood method (MLM)) and using the log of likelihood function as a criterion. In most cases, the DWe distribution with MLM‐estimated parameters showed the best fit of all the three‐parameter models. Copyright © 2005 John Wiley & Sons, Ltd.     

Development in modeling cyclic loading of sands based on kinematic hardening

In this paper, there is presented an elastoplastic constitutive model to predict sandy soils behavior under monotonic and cyclic loadings. This model is based on an existing model (Cambou‐Jafari‐Sidoroff) that takes into account deviatoric and isotropic mechanisms of plasticity. The flow rule used in the deviatoric mechanism is non‐associated and a mixed hardening law controls the evolution of the yield surface. In this research the critical state surface and history surface, which separates the virgin and cyclic states in stress space, are defined. Kinematic hardening modulus and stress–dilatancy law for monotonic and cyclic loadings are effectively modified. With taking hardening modulus as a function of deviatoric and volumetric plastic strain and with defining the history surface and stress reversal, the model has the ability to predict the sandy soils' behavior. All of the model parameters have clear physical meanings and can be determined from usual laboratory tests. In order to validate the model, the results of homogeneous tests on Hostun and Toyoura sands are used. The results of validation show a good capability of the proposed model. Copyright © 2009 John Wiley & Sons, Ltd.     

中国探月工程

嫦娥五号（Change’E-5, CE-5）着上组合体与上升器先后成功着陆于月面。两探测器承担的任务不同,着陆方式不同,因此月面位置解算方法不同。联合统一X波段（united X-band,UXB）深空测距站及甚长基线干涉测量技术（very long baseline interferometry,VLBI）的测量数据计算两者的月面位置。采用联合统计定位方法得到CE-5着上组合体的月面位置。讨论分别基于数传与侧音差分单向测距（differential one-way ranging,DOR）两种信号对月面位置的影响。观测资料的时间跨度在一定程度上影响定位结果。采用多项式拟合的运动学统计定轨方法归算了上升器受控落月轨迹及落月位置,并与单点定位结果符合在40 m内。根据相关处理机最后输出时刻推算得到精确至ms的上升器的落月时刻。

     

基于GPS基准网的GPS快速静态定位及动态定位方法

介绍基于GPS基准网进行GPS快速静态定位和动态定位的原理和方法。通过计算基准网改正数及其空间分布,利用内插方法求出用户站的模型误差改正数,不仅可以提高GPS整周模糊度的可靠性,而且能够大大改善GPS测量的精度。利用香港GPS基准网2001年3月的实测数据进行了解算,发现香港地区在该时间段内受强电离层活动的影响,采用常规GPS测量方法很难确定整周模糊度。利用传统的快速静态定位方法对香港GPS基准网其中一条边(9.2km) 24h的观测数据按每15min计算,模糊度确定的准确率仅为45%。采用基准网内插改正数后,仅利用L₁的观测数据模糊度确定的准确率提高到100%。点位精度平面位置由2cm提高到5mm,高程精度由4cm提高到3cm。     

利用TrackRT进行GPS实时动态形变监测研究

在相对实时动态定位软件TrackRT的基础上进行二次开发,完善了数据流实时传输与解码,并设计了两组模拟地面运动的观测实验,分别对TrackRT水平向和垂直向上的内外符合精度进行了评定。结果表明,在观测数据质量较好的情况下,实时定位水平分量精度优于2cm,垂向分量精度优于4cm。     

Effect of the duration and direction of storm movement on infiltrating planar flow with full areal coverage

Using kinematic wave equations, analytical solutions are derived for flow due to a storm moving up or down an infiltrating plane and covering it completely. The storm duration is assumed in two ways. First, the plane is covered everywhere for the same duration by the storm. Second, the plane is covered in a linearly decreasing manner from the beginning of its coverage of the plane to the other end of the plane. By comparing the flow due to this storm with that due to a stationary storm of the same duration, the influence of storm duration, direction and velocity on flow hydrograph is investigated. It is found that storm movement has a pronounced effect on runoff hydrograph. Copyright © 2002 John Wiley & Sons, Ltd.