A method for modelling mass balance in partial melting and anatectic leucosome segregation

A method is proposed for adjusting the mass balance to characterize quantitatively the behaviour of minerals in anatexis. The method is based on an unconstrained simple mixing model that can be expressed as: where B , A ₀, and A _1-n, are compositional vectors of segregate, source rock and source minerals, respectively. The most important concepts are: (1) degree of partial fusion: F^MM= 1/a₀; (2) mineral fractionation index: and (3) plagioclase differentiation index: . For a given mineral, the MFI values have the following meaning: (a) MFI <0: residual phase originated, at least partly, as a product of incongruent melting; (b) 0 > MFI <1: preferential retention in the residue; (c) MFI= 1: identical modal fraction in source and melt; (d) a₀ > MFI > 1: preferential incorporation into the segregate, and (e) MFI > a₀: external contribution to the anatectic system defined by a₀ A ₀. To test the method and illustrate its use, it was applied to two real problems of partial melting in the Peña Negra Anatectic Complex (Central Spain). The first is a very simple case of segregation of a diktyonitic neosome from an orthogneiss through partial melting located in vertical shear zones. This process is characterized by: (1) F^MM= 0.51; (2) active incorporation of K-feldspar, plagioclase and biotite into the segregate; (3) disequilibrium melting of plagioclase; (4) residual behaviour of quartz and ilmenite. The second case concerns the formation of a cordierite-bearing granite from granodioritoid diatexites through an anatectic process, whose most salient characteristics are: (1) F^MM= 0.45; (2) incongruent melting of biotite; (3) residual behaviour of plagioclase, which melted with a PDI of 1.22; (4) preferential incorporation of quartz into the segregate; (5) total extraction of K-feldspar from the residue.     

黑龙江跃进山杂岩中砾岩的碎屑锆石年代学及其大地构造意义

黑龙江省饶河县石场一带分布的跃进山杂岩为一套富含晚三叠世化石的海陆交互相沉积地层.砾岩样品中的LA-ICP-MS锆石U-Pb测年结果显示，样品中的碎屑锆石年龄谱具有4组年龄，分别为800 Ma以上、500 Ma、251~284 Ma和219~222 Ma.前三者与佳木斯地块中的热事件年龄完全一致，表明其沉积物源主要来自佳木斯地块；后者为砾岩最小年龄组，大致可将这组最小年龄视为这套砾岩的沉积时代下限，与西侧松辽地块东缘的张广才岭地区广泛分布的210~228 Ma的晚三叠世早期花岗岩基本一致，说明具有最小年龄组的碎屑锆石可能来自松辽地块东部.碎屑锆石年龄及其源区特征表明，在晚三叠世之前，跃进山增生杂岩已经就位在佳木斯地块东缘，并成为佳木斯地块东部大陆边缘的一部分.     

关于一类复算子的平均收敛性

本文考虑了文[1]中提出的复算子R_n(f,z),得到了R_n(f,z)在空间L_p(|z|=1)(0相似文献   

广义索末菲积分的离散复镜像算法

本文对多分层媒质并矢格林函数中的索末菲积分,用Prony方法对其被积函数分式部分用指数函数逼近.利用索末菲恒等式,无穷积分就可化为闭合的级数形式.该闭合形式可看作一串离散镜像在观察点的解.所得结果与数值积分结果吻合很好.     

沿海复杂地形区域之大气污染分析与预测

以深圳大鹏半岛为代表(大鹏炼油厂是该区域主要污染源),探讨了山地、海陆综合影响下之大气污染分析预测方法,提出了适用于南方沿海丘陵地段的大气环境预测模式,其主要内容包括两部分:(1)地形调整风场模式及风场特征;(2)复杂地形扩散模式。分析表明所得出的结果是比较合理的。     

球面波和柱面波的复射线束展开

通过在平面波谱域中比较复射线束叠加场和标准解的方法,导出了球面波和柱面波的复射线束展开系数公式.将该结果与以往文献中,通过在空间域直接比较标准解所导出的结果对比表明,本文结果具有形式简洁、自由参数少的优点.     

局地相似性在近地面层大气中的一个应用

利用Ｕ．Ｈｏｇｓｔｒｏｍ教授提供的瑞典Ｕｐｐｓａｌａ大学气象系于１９８６年夏季在Ｕｐｐｓａｌａ市郊农田中观察到的近地面层大气资料，对近地面层大气的局地相似性进行了论证，并给出了一套相似性函数的经验常数。结果表明，局地相似性比Ｍｏｎｉｎ－Ｏｂｕｋｈｏｖ相似性更适合于描述复杂下垫面近地面层大气。     

K-Ar ages of the Brandberg and Okenyenya igneous complexes,north-western Namibia

K-Ar mineral ages from intrusive units of the Brandberg and Okenyenya igneous complexes, north-western Namibia, confirm the Early Cretaceous age of the subvolcanic centres. The two centres are contemporaneous, although the range of ages from Brandberg, 135.2 ± 1.5 to 125.4 ± 1.3 Ma, suggests a rather longer period of intrusion than is represented by the rocks of Okenyenya, 133.3 ± 1.4 to 129.2 ± 0.7 Ma. The mean K-Ar age of the Okenyenya complex is essentially equivalent to previously determined Rb-Sr ages for the Messum and Paresis complexes on the same igneous lineament, but is a little greater than that suggested recently from Rb-Sr dating of this complex (129.1–123.4Ma). K-Ar chronology for the Brandberg complex is in conflict with the order of emplacement of granite units previously inferred from field evidence. In particular, the Amis peralkaline layered intrusion yields the oldest age from the complex, 135.2 ± 1.4 Ma. The concordancy of age measurements of amphibole and biotite, having very different potassium contents, from single rock samples is compelling evidence that neither inherited radiogenic argon, nor argon loss, presents a significant problem in the dated rocks. If the K - Ar age of 135 Ma for the Amis intrusion is correct, it constrains the minimum age for the onset of Etendeka flood volcanism, associated with continental break-up, as Etendeka lavas exhibit contact metamorphism and metasomatism around the rim of the Brandberg complex.     

Structural studies in the Pre-Vindhyan rocks of Rajasthan: A summary of work of the last three decades

Multiple deformation in all the Precambrian metamorphic-migmatitic rocks has been reported from Rajasthan during the last three decades. But, whereas the Aravalli Group and the Banded Gneissic Complex show similarity in the style and sequence of structures in all their details, the rocks of the Delhi Group trace a partly independent trend. Isoclinal folds of the first generation (AF₁) in the rocks of the Aravalli Group had gentle westerly plunge prior to later deformations. These folds show reclined, inclined, and upright attitude as a result of coaxial upright folding (AF_la). Superposition of upright folds (AF₂) of varying tightness, with axial plane striking N to NNE, has resulted in interference patterns of diverse types in the scale of maps, and deformation of earlier planar and linear structures in the scale of hand specimens. The structures of the third generation (AF₃) are either open recumbent folds or reclined conjugate folds with axial planes dipping gently towards NE or SW. Structures of the last phase are upright conjugate folds (AF₄) with axial planes striking NNE-SSW and E-W. The Banded Gneissic Complex (BGC) underlies the Aravalli Group with a conglomerate horizon at the contact, especially in southern Rajasthan. But, for a major part of central and southern Rajasthan, migmatites representing BGC show a structural style and sequence identical with those in the Aravalli Group. Migmatization, broadly synkinematic with the AF₁ folding, suggests extensive remobilization of the basement. Very rare relict fabric athwart to and overprinted by structures of AF, generation provide tangible evidence for a basement. Although the structures of later phases in the rocks of the Delhi Group (DF₃ and DF₄) match with the late-phase structures in the Aravalli Group (AF₃ and AF₄), there is a contrast in the structural history of the early stages in the rocks of the two groups. The folds of the first generation in the Delhi Group (DF₁) were recumbent to reclined with gentle plunge towards N to NNE or S to SSW. These were followed by coaxial upright folds of varying tightness (DF₂). Absence of westerly trending AF₁ folds in the Delhi Group, and extreme variation in plunge of the AF₂ folds in contrast with the fairly constant plunge of the DF₂ folds, provide evidence for an angular unconformity between the Aravalli and the Delhi Groups. Depending on the importance of flattening attendant with and following buckling during AF₂ deformation, the lineations of AF₁ generation show different patterns. Where the AF₁ lineations are distributed in circular cones around AF₂ axes because of flexural-slip folding in layered rocks with high viscosity contrast, loci of early lineations indicate that the initial orientation of the AF₁ axes were subhorizontal, trending towards N280°. The orientation of the axial planes of the earlier folds has controlled the development of the later folds. In sectors where the AF, axial planes had N-S strike and gentle dips, or E-W strike with gentle to steep dips, nearly E-W horizontal compression during AF₂ deformation resulted in well-developed AF₂ folds. By contrast, where the AF, axial planes were striking nearly N-S with steep dips, E-W horizontal compression resulted in tightening (flattening) of the already isoclinal AF₁ folds, and probably boudinage structures in some instances, without the development of any AF₂ folds. A similar situation obtains when DF₄ deformation is superposed on earlier structures. Where the dominant S-planes were subhorizontal, N-S compression during DF₄ deformation resulted in either chevron folds with E-W striking axial plane or conjugate folds with axial plane striking NE and NW. In zones with S-planes striking E-W and dipping steeply, the N-S compression resulted in flattening of the earlier folds without development of DF₄ folds.     

Silurian granites of northern Kazakhstan: U-Pb age and tectonic position

The isotopic-geochronological studies of zircons from granites of the Borovoe, Makinsk, and Zhukei massifs located in the eastern part of the Precambrian Kokchetav median massif revealed that they were formed during the relatively brief period from 431 to 423 Ma ago, which allowed them to be united into the Early Silurian Borovoe Complex.