Artificial halo orbits for low-thrust propulsion spacecraft

We consider periodic halo orbits about artificial equilibrium points (AEP) near to the Lagrange points L ₁ and L ₂ in the circular restricted three body problem, where the third body is a low-thrust propulsion spacecraft in the Sun–Earth system. Although such halo orbits about artificial equilibrium points can be generated using a solar sail, there are points inside L ₁ and beyond L ₂ where a solar sail cannot be placed, so low-thrust, such as solar electric propulsion, is the only option to generate artificial halo orbits around points inaccessible to a solar sail. Analytical and numerical halo orbits for such low-thrust propulsion systems are obtained by using the Lindstedt Poincaré and differential corrector method respectively. Both the period and minimum amplitude of halo orbits about artificial equilibrium points inside L ₁ decreases with an increase in low-thrust acceleration. The halo orbits about artificial equilibrium points beyond L ₂ in contrast show an increase in period with an increase in low-thrust acceleration. However, the minimum amplitude first increases and then decreases after the thrust acceleration exceeds 0.415 mm/s². Using a continuation method, we also find stable artificial halo orbits which can be sustained for long integration times and require a reasonably small low-thrust acceleration 0.0593 mm/s².     

Interplay between equilibrium and kinetics in prograde metamorphism of pelites: an example from the Nelson aureole, British Columbia

The distribution of metapelitic mineral assemblages in the Nelson aureole, British Columbia, generally conforms to what is predicted from phase equilibria. However, in detail, the sequence and spacing of isograds, mineral textures and mineral compositions and mineral chemical zoning do not. Two of the main disequilibrium features in the aureole are: (i) delay in the onset and progress of several reactions, i.e. overstepping in temperature; and (ii) unreactivity of staurolite and especially garnet porphyroblasts when they are reactants in prograde reactions. The thermal overstepping is ascribed to difficulty of nucleation of the product porphyroblasts and sluggishness of dissolution of porphyroblasts when they are reactants. The extent to which these kinetic barriers delay the onset of reaction is related to the reaction affinity of each reaction, defined herein as the Gibbs free‐energy difference between the thermodynamically stable, but not‐yet‐crystallized, products and the metastable reactants. For oversteps in temperature (ΔT), reaction affinity is, in turn, related to the difference in entropy (ΔS) between these two states through the relation A = ΔT * ΔS. Mineral reactions which release large quantities of H₂O, such as chlorite‐consuming reactions, have a higher entropy change per unit of temperature overstep, and therefore a higher reaction affinity, than those which release little or no H₂O, such as the chlorite‐free staurolite‐consuming reaction. Thermal overstepping is consequently expected to be less for the former than for the latter, as was estimated in the aureole where 0 to 30 °C overstepping was required for garnet, staurolite and andalusite growth from a muscovite + chlorite‐bearing precursor rock and ～70 °C overstepping was required for the growth of Al₂SiO₅ from a staurolite‐bearing, chlorite‐free precursor. In all cases, reaction progress was strongly influenced by the presence or absence of fluid, with presence of fluid lowering kinetic barriers to nucleation and growth and therefore the degree of thermal overstepping. Textural features of rocks from the nearly coincident garnet, staurolite and andalusite isograds are suggestive of a fluid‐catalysed ‘cascade effect’ in which reaction took place in a narrow temperature interval; several competing muscovite + chlorite‐consuming reactions, some metastable, appear to have occurred in parallel. Metamorphic reaction, fluid release and possibly fluid presence in general in the aureole were episodic rather than continuous, and in several cases well removed from equilibrium conditions. The extent to which these findings apply to regional metamorphism depends on several factors, a major one being enhanced deformation, which is expected to lower kinetic barriers to nucleation and growth.     

基于GeoStudio的边坡稳定性分析及支护方案选择的理论探讨

本文选择大连市中山区长利巷地区的边坡,通过现场采取岩土样,进行室内试验得出各地层力学物理参数,对边坡进行稳定性分析。针对目前所拥有的模拟软件与方法,分析并筛选出适合该边坡的模拟软件。利用GeoStudio软件建模、模拟,使用Morgenstern-Price方法进行计算,通过分析得到计算结果,该边坡的安全安全系数为1. 127,认为其属于不稳定边坡。对于不稳定边坡,本文对主流的边坡支护方法进行分析筛选,拟采用扶壁式挡土墙支护方案对其进行预防。根据规范设计挡土墙尺寸,并对该挡土墙进行抗倾覆抗滑移验算,得出的验算安全系数满足规范要求,由此可得知该支护方案方法合理,技术可行。     

开合旋构造体系及其形成机制探讨:兼论板块构造的动力学机制

开合构造总体上可以表述为:地球膨胀为开,收缩为合;垂向上地球物质离心(地心)运动为开,向心运动为合;水平方向上地球物质相背运动为开,相向运动为合。从驱动机制角度,我们把以热力(热能)为主体驱动的上浮物质运动定义为开;将重力(势能)为主体驱动的下沉物质运动定义为合。因此,开与合是一个高度综合的概念,具有广阔的内涵,开合运动是联系一切地质运动和地质科学的纽带。开合运动具有同步统一性,即垂向的开在水平方向也表现为开;垂向开得强烈,水平方向同样开得强烈,反之亦然。地球刚形成时诸多开合构造是无序的,地球的旋转运动统领地球上所有物质、能量、运动和大大小小的各种开合构造于旋转运动中,并将它们调剂到有序状态。简言之开合构造体系是开合旋运动长期作用下形成的不同时期、不同层次、不同级别的开合旋回组成的动态平衡构造体系。本文总结了地球开合旋构造体系物质组成、结构构造特征和规律,建立了开合旋复杂构造体系简要模型。提出平衡体系的形成机制是开合旋运动遵循地球重力均衡准则、最小内能原理(结晶化)、几何淘汰生长(垂直地心生长)和物质均匀化四条自然演化规律,其中重力均衡准则是主导的。由于地质事件(构造运动)在破坏开合旋平衡体系的同时,经常直接或间接向体系内输入新能量,往往使新的旋回比老旋回的结构构造更符合地质演化的自然规律,于是使地球显得更强大而有活力。这一次又一次的地质事件(构造运动)是开合旋构造体系螺旋式向前发展的动因。本文最后用开合构造观点探讨了地球的形成和演化,分析了板块构造运动的动力学过程。     

Global method for stability analysis of anchored slopes

Based on the global method, an approach is proposed to consider the effect of anchor reinforcement on slope stability, where equilibrium conditions are formulated in terms of the whole slip body. Anchor pre-tension is assumed to be undertaken by the whole slip body instead of individual slices, causing internal force within slope more realistic. Meanwhile, the optimization model for locating the critical slip surface is of weak nonlinearity and easy to solve using the conventional optimization procedures. The effects of anchoring orientation and position are thoroughly investigated, and interesting results are obtained.     

Grain‐scale pressure variations and chemical equilibrium in high‐grade metamorphic rocks

In the classical view of metamorphic microstructures, fast viscous relaxation (and so constant pressure) is assumed, with diffusion being the limiting factor in equilibration. This contribution is focused on the only other possible scenario – fast diffusion and slow viscous relaxation – and brings an alternative interpretation of microstructures typical of high‐grade metamorphic rocks. In contrast to the pressure vessel mechanical model applied to pressure variation associated with coesite inclusions in various host minerals, a multi‐anvil mechanical model is proposed in which strong single crystals and weak grain boundaries can maintain pressure variation at geological time‐scales in a polycrystalline material. In such a mechanical context, exsolution lamellae in feldspar are used to show that feldspar can sustain large differential stresses (>10 kbar) at geological time‐scales. Furthermore, it is argued that the existence of grain‐scale pressure gradients combined with diffusional equilibrium may explain chemical zoning preserved in reaction rims. Assuming zero net flux across the microstructure, an equilibrium thermodynamic method is introduced for inferring pressure variation corresponding to the chemical zoning. This new barometric method is applied to plagioclase rims around kyanite in felsic granulite (Bohemian Massif, Czech Republic), yielding a grain‐scale pressure variation of 8 kbar. In this approach, kinetic factors are not invoked to account for mineral composition zoning preserved in rocks metamorphosed at high grade.     

极限平衡方法在夏日哈木镍钴矿山拟建露天采场边坡角优化中的应用

夏日哈木镍钴矿为大型镍钴硫化物矿床,现拟建大型露天采场,边坡采用分台阶式高边坡,最高边坡高度超过600m。该工程具有开挖成本高,边坡一但失稳后果严重的特点。为此需要选择一个即节约经济成本又保障整体边坡稳定的最佳边坡角。本文采取Geostudio软件中的Slope模块极限平衡方法对拟建露天采场假设开挖边坡角的整体边坡稳定性进行分析,提出最佳设计边坡角。　本次边坡角优化的思路：首先根据场地工程地质条件和拟建边坡的高度等因素将拟建边坡划分为5个区,选择典型边坡工程地质剖面并进行工程地质岩体分段,然后通过岩石强度指标折减计算（本文采用费辛柯法、M.Georgi法和经验法）给各分段的岩体赋予凝聚力、内摩擦角等计算参数,采用极限平衡方法（Geostudio软件中的Slope模块法）对不同角度下对各分区边坡的破坏形式及安全系数进行计算,最后提出了各分区边坡的最佳设计边坡角。     

Defining deep decarbonization pathways for Switzerland: an economic evaluation

This article simulates deep decarbonization pathways for a small open economy that lacks the usual avenues for large CO₂ reductions – heavy industry and power generation. A computable general equilibrium model is used to assess the energy and economic impacts of the transition to only one ton of CO₂ emissions per capita in 2050. This represents a 76% reduction with respect to 1990 levels, while the population is expected to be 46% larger and GPD to increase by 90%. The article discusses several options and scenarios that are compatible with this emissions target and compares them with a reference scenario that extrapolates already-decided climate and energy policy instruments. We show that the ambitious target is attainable at moderate welfare costs, even if it needs very high carbon prices, and that these costs are lower when either CO₂ can be captured and sequestered or electricity consumption can be taxed sufficiently to stabilize it.

Policy relevance

In the context of COP 21, all countries must propose intended contributions that involve deep decarbonization of their economy over the next decades. This article defines and analyses such pathways for Switzerland, taking into consideration the existing energy demand and supply and also already-defined climate policies. It draws several scenarios that are compatible with a target of 1 ton of CO₂ emissions per capita in 2050. This objective is very challenging, especially with the nuclear phase out decided after the disaster in Fukushima and the political decision to balance electricity trade. Nevertheless, it is possible to design several feasible pathways that are based on different options. The economic cost is significant but affordable for the Swiss economy. The insights are relevant not only for Switzerland, but also for other industrialized countries when defining their INDCs.     

GeoSOT-3D椭球体剖分真三维数据表达

随着地球观测技术和信息技术的进步,以全球为背景的科学探索不断增多,不仅是地球表面信息,地下、水下、空中等地球上各个层次的空间信息都受到极大的关注。地球球体剖分网格可以构建真三维的数据模型,进而实现空天地、地下水下一体化的空间数据组织、管理、表达与应用。本文详细论述了GeoSOT-3D椭球体剖分网格的剖分空间框架、剖分编码与剖分尺度特性等理论体系。建立基于GeoSOT-3D的空间对象的真三维表达模型。利用该真三维模型实现了地球椭球体的地上地下可视化,点线面体等空间实体的可视化。研究表明,GeoSOT-3D椭球体剖分具有椭球剖分框架简单、体系完整、二三维一致等特点,因而在该框架下的真三维数据模型可用于下一代地理信息系统中的空间大数据的组织管理与表达。     

地下水化学组分存在形式的计算及其意义

地下水化学组分形式的定量研究是水岩作用模拟计算的基础,本文系统地介绍了利用化学热力学平衡理论定量计算化学组分形式的理论与方法,并石家庄平原地下水中化学组分形式的分布,结果表明,构成地下水化学组分形式主要为络阴离子和单一离子,但ＣａＳＯ＾０４,ＭｇＳＯ＾０４和ＣａＣＨＯ＾＋３是地下水化学组成不可忽视的络合形式,这些络合组分随着ＴＤＳ和ＳＯ＾２－４总量的升高上游到下民占比例逐渐升高,络合形式的存在不仅