A continuous/discontinuous Galerkin framework for modeling coupled subsurface and surface water flow

We consider conjunctive surface-subsurface flow modeling, where surface water flow is described by the shallow water equations and ground water flow by Richards’ equation for the vadose zone. Coupling between the models is based on the continuity of flux and water pressure. Numerical approximation of the coupled model using the framework of discontinuous Galerkin (DG) methods is formulated. In the subsurface, the local discontinuous Galerkin (LDG) method is used to approximate ground water velocity and hydraulic head; a DG method is also used to approximate surface water velocity and elevation. This approach allows for a weak coupling of the models and the use of different approximating spaces and/or meshes within each regime. A simplified LDG method based on continuous approximations to water head is also described. Numerical results that investigate physical and numerical aspects of surface–subsurface flow modeling are presented. This work was supported by National Science Foundation grant DMS-0411413.     

Oxygen deficient perovskites in the system CaSiO3–CaAlO2.5 and implications for the Earth’s interior

Oxygen deficient perovskites of the system CaSiO₃–CaAlO_2.5 have been synthesised at high-pressure and -temperature conditions relevant to the Earth’s transition zone in order to investigate their stabilities in the Earth’s mantle and determine structural properties associated with vacancy incorporation. Two polysomes of thermodynamically stable defect perovskites with Ca(Al_0.4Si_0.6)O_2.8 and Ca(Al_0.5Si_0.5)O_2.75 stoichiometry have been identified. The ordering of oxygen defects into pseudo-cubic (111) layers results in well-ordered ten- or eightfold superstructures, respectively. At all other compositions examined, a metastable formation of perovskites has been observed instead, which are assumed to grow initially disordered. These are now characterised by tiny domains, formed due to subsequent ordering of vacancies along various pseudo-cubic {111} layers. Both ordered defect perovskites show a large P–T stability field ranging from about 9–18 GPa and 4–12 GPa, respectively. Microstructural TEM analyses revealed the presence of growth and ferroelastic twins, which indicate a phase transition from rhombohedral to monoclinic symmetry during quenching. Electron energy loss spectroscopy of Si and Al K edges point at the presence of tetrahedral, octahedral and maybe some pentacoordinated silicon, whereas aluminium is predominantly octahedrally coordinated with minor fractions in lower coordination. Observed properties are interpreted in terms of a new structural model, explaining the observed phase transition and formation of different twin laws as well as giving reasons for the development of such large superstructures. With respect to phase relations of the transition zone, the potential occurrence of such defect perovskites in the Earth’s interior is discussed.     

新冠肺炎疫情对经济全球化的影响分析

新冠肺炎疫情是第二次世界大战以来世界面临的最大危机,给世界带来巨大的冲击,包括人们的心理和生活、经济增长与就业、国家治理及世界治理等。这些影响使很多学者、评论家、大众、企业家乃至政府官员产生了非常悲观的情绪,舆论中不乏经济全球化将终结、全球供应链将大规模调整、世界治理格局将彻底改变等言论。本文通过建立“全球化的三角结构”剖析了经济全球化的动力机制,并结合疫情对世界的主要影响,试图揭示后疫情时代经济全球化的走势。我们认为,资本的“空间出路”、技术的“时空压缩”和国家的开放程度是驱动经济全球化的三个基本力量,这三者的变化及其相互作用结果影响着全球化进程。从动力机制看,全球化是一个没有终点且不断变化的历史过程,它不会倒退,而是波动。过去半个世纪以来,世界各国已经被全球化紧密地联系在一起,相互脱钩的代价极其昂贵,没有国家会选择完全脱钩。所谓的逆全球化现象,是全球化发展过程中世界格局变化及各国应对策略调整的结果。新冠肺炎疫情并不能影响全球化的资本和技术驱动力,但是可能影响国家的开放程度。如果疫情持续时间不是很长,经济全球化将很快会回归原有的发展轨迹,继续进行调整。各国也将继续围绕经济全球化进行斗争、妥协、再斗争,直至形成一个相对稳定的状态。因此,经济全球化可能因为应对疫情而踩下急刹车,甚至暂退半步,但很快将继续前行,向着“包容性全球化”的方向发展。     

真空-堆载预压处理高速公路软基的有限元计算

根据高速公路路基的变形特点，提出了真空-堆载联合预压法处理软基的三维Biot固结有限元计算模型，将砂井按照实际尺寸划分单元，避免了平面计算方法中的砂井处理的问题，较以往的平面数值方法更接近实际情况。结合修正剑桥模型，对某真空-堆载联合预压试验段进行了计算、分析，结果令人满意。     

安徽大别山腹地中生代火山岩的发现及其地质意义

近期作者等在大别山腹地开展１∶５万区调过程时,于中深变质岩中发现一套中生代火山岩系;主要岩石类型为石英安山质晶屑凝灰熔岩、火山角砾岩及凝灰岩。通过详细观察、追索,其中查明火山岩系的空间分布及其与围岩的接触关系。对认识大别山的构造演化及热隆—顶蚀作用、超高压变质带的形成、折返机制等提供新的依据。     

Element Abundances of China‘s Continental Crust and Its Sedimentary Layer and Upper Continental Crust

China’s continental crust (CCC) has an average thickness of 47km, with the upper continental crust (CUCC) being 31 km and the sedimentary layer(CSL) 5 km in thickness. The CCC, CUCC and CSL measure 12.437 × 10⁻¹⁷, 8.005 × 10⁻¹⁷ and 1.146 × 10¹⁷ metric tons in mass, respectively. The mass ratio of the upper continental crust to the lower one is 1.8:1. The element abundances were calculated for the CCC, CUCC and CSL respectively in terms of the chemical compositions of 2246 samples of various types and some complementary trace element data. The total abundance of 13 major elements accounts for 99.6% of the CCC mass while the other minor elements only account for 0.4%. REE characteristics, the abundance ratios of element pairs and the amounts of ore-forming elements are also discussed in the present paper.     

Low latitude airglow

Tropical airglow work during the last few years is reviewed. Airglow instrumentation is becoming more complex. Some of these sophisticated airglow experiments giving important information about the upper atmosphere such as ionospheric F region electron density, height of maximum electron density, dynamics of and irregularities in the F region, mesospheric neutral temperature and its variation, dynamics of mesospheric, etc. are mentioned. At the end some problems which could be tackled in near future with airglow techniques have been suggested. Invited Review paper, Commission 21, IAU, Patras, Greece, August, 1982.     

THE SETTLEMENT OF A RIGID CIRCULAR FOUNDATION RESTING ON A HALF-SPACE EXHIBITING A NEAR SURFACE ELASTIC NON-HOMOGENEITY

The present paper examines the elastostatic problem pertaining to the axisymmetric loading of a rigid circular foundation resting on the surface of a non-homogeneous elastic half-space. The non-homogeneity corresponds to a depth variation in the linear elastic shear modulus according to the exponential form G(z)=G₁+G₂e^-ζz. The equations of elasticity governing this type of non-homogeneity are solved by employing a Hankel transform technique. The mixed boundary value problem associated with the indentation of the half-space by the rigid circular foundation is reduced to a Fredholm integral equation which is solved via a numerical technique. The numerical results presented in the paper illustrate the influence of the near-surface elastic non-homogeneity on the settlement of the foundation.     

Bimodal magmatism of the Tucumã area,Carajás province: U-Pb geochronology,classification and processes

Geological mapping of the Tucumã area has enabled the identification of dike swarms intruded into an Archean basement. The disposition of these dikes is consistent with the well-defined NW-SE trending regional faults, and they can reach up to 20 km in length. They were divided into three main groups: (i) felsic dikes (70% of the dikes), composed exclusively of porphyritic rhyolite with euhedral phenocrysts of quartz and feldspars immersed in an aphyric felsite matrix; (ii) mafic dikes, with restricted occurrence, composed of basaltic andesite and subordinate basalt, with a mineralogical assembly consisting dominantly of plagioclase, clinopyroxene, orthopyroxene and olivine; and (iii) intermediate rocks, represented by andesite and dacite. Dacites are found in outcrops associated with felsic dikes, representing different degrees of hybridization or mixture of mafic and felsic magmas. This is evidenced by a large number of mafic enclaves in the felsic dikes and the frequent presence of embayment textures. SHRIMP U-Pb zircon dating of felsic dikes yielded an age of 1880.9 ± 3.3 Ma. The felsic dikes are peraluminous to slightly metaluminous and akin to A2, ferroan and reduced granites. The intermediate and mafic dikes are metaluminous and belong to the tholeiitic series. Geochemical modeling showed that mafic rocks evolved by pyroxene and plagioclase crystallization, while K-feldspar and biotite are the fractionate phases in felsic magma. A simple binary mixture model was used to determine the origin of intermediate rocks. It indicated that mixing 60% of rhyolite and 40% basaltic andesite melts could have generated the dacitic composition, while the andesite liquid could be produced by mixing of 60% and 40% basaltic andesite and rhyolite melts, respectively. The mixing of basaltic and andesitic magmas probably occurred during ascent and storage in the crust, where andesite dikes are likely produced by a more homogeneous mixture at high depths in the continental crust (mixing), while dacite dikes can be generated in the upper crust at a lower temperature, providing a less efficient mixing process (mingling). The affinities observed between the felsic to intermediate rocks of the Rio Maria and São Felix do Xingu areas and the bimodal magmatism of the Tucumã area reinforce the hypothesis that in the Paleoproterozoic the Carajás province was affected by processes involving thermal perturbations in the upper mantle, mafic underplating, and associated crustal extension or transtension. The 1.88 Ga fissure-controlled A-type magmatism of the Tucumã area was emplaced ∼1.0 to ∼0.65 Ga after stabilization of the Archean crust. Its origin is not related to subduction processes but to the disruption of the supercontinent at the end of the Paleoproterozoic.     

广西巴里—龙头山100号锡多金属矿床成矿物理化学环境研究——氧逸度(f_(o_2))、CO_2逸度(f_(co_2))、硫逸度(f_(s_2))、mΣs

根据已知的 10 0号矿体的成矿温度及成矿压力 ,并结合矿体的矿物组合推算出10 0号矿体是在相对低硫、氧和二氧化碳逸度 ,溶液为酸性至弱碱性的物理化学环境下形成的。