正弦锁相环路方程的调和解、浑沌与分支

讨论调频输入正弦锁相环路方程的调和解、浑饨与分支。利用Melnikov方法确定了产生浑沌与次谐波分支及其稳定性的条件，同时我们证明了当方程的参数适当小时，它必存在调和解。     

Practical VTI approximations: a systematic anatomy

Transverse isotropy (TI) with a vertical symmetry axis (VTI) often provides an appropriate earth model for prestack imaging of steep-dip reflection seismic data. Exact P-wave and SV-wave phase velocities in VTI media are described by complicated equations requiring four independent parameters. Estimating appropriate multiparameter earth models can be difficult and time-consuming, so it is often useful to replace the exact VTI equations with simpler approximations requiring fewer parameters. The accuracy limits of different previously published VTI approximations are not always clear, nor is it always obvious how these different approximations relate to each other. Here I present a systematic framework for deriving a variety of useful VTI approximations. I develop first a sequence of well-defined approximations to the exact P-wave and SV-wave phase velocities. In doing so, I show how the useful but physically questionable heuristic of setting shear velocities identically to zero can be replaced with a more precise and quantifiable approximation. The key here to deriving accurate approximations is to replace the stiffness a₁₃ with an appropriate factorization in terms of velocity parameters. Two different specific parameter choices lead to the P-wave approximations of Alkhalifah (Geophysics 63 (1998) 623) and Schoenberg and de Hoop (Geophysics 65 (2000) 919), but there are actually an infinite number of reasonable parametrizations possible. Further approximations then lead to a variety of other useful phase velocity expressions, including those of Thomsen (Geophysics 51 (1986) 1954), Dellinger et al. (Journal of Seismic Exploration 2 (1993) 23), Harlan (Stanford Exploration Project Report 89 (1995) 145), and Stopin (Stopin, A., 2001. Comparison of v(θ) equations in TI medium. 9th International Workshop on Seismic Anisotropy). Each P-wave phase velocity approximation derived this way can be paired naturally with a corresponding SV-wave approximation. Each P-wave or SV-wave phase velocity approximation can then be converted into an equivalent dispersion relation in terms of horizontal and vertical slownesses. A simple heuristic substitution also allows each phase velocity approximation to be converted into an explicit group velocity approximation. From these, in turn, travel time or moveout approximations can also be derived. The group velocity and travel time approximations derived this way include ones previously used by Byun et al. (Geophysics 54 (1989) 1564), Dellinger et al. (Journal of Seismic Exploration 2 (1993) 23), Tsvankin and Thomsen (Geophysics 59 (1994) 1290), Harlan (89 (1995) 145), and Zhang and Uren (Zhang, F. and Uren, N., 2001. Approximate explicit ray velocity functions and travel times for P-waves in TI media. 71st Annual International Meeting, Society of Exploration Geophysicists, Expanded Abstracts, 106–109).     

Computational study of tetrahedral Al–Si and octahedral Al–Mg ordering in phengite

 As part of a wider study of the nature and origins of cation order–disorder in micas, a variety of computational techniques have been used to investigate the nature of tetrahedral and octahedral ordering in phengite, K₂ ^[6](Al₃Mg)^[4](Si₇Al)O₂₀(OH)₄. Values of the atomic exchange interaction parameters J _n used to model the energies of order–disorder were calculated. Both tetrahedral Al–Si and octahedral Al–Mg ordering were studied and hence three types of interaction parameter were necessary: for T–T, O–O and T–O interactions (where T denotes tetrahedral sites and O denotes octahedral sites). Values for the T–T and O–O interactions were taken from results on other systems, whilst we calculated new values for the T–O interactions. We have demonstrated that modelling the octahedral and tetrahedral sheets alone and independently produces different results from modelling a whole T–O–T layer, hence justifying the inclusion of the T–O interactions. Simulations of a whole T–O–T layer of phengite indicated the presence of short-range order, but no long-range order was observed. Received: 8 August 2002 / Accepted: 14 February 2003 Acknowledgements The authors are grateful to EPSRC (EJP) and the Royal Society (CIS) for financial support. Monte Carlo simulations were performed on the Mineral Physics Group's Beowulf cluster and the University of Cambridge's High Performance Computing Facility.     

High-T phase transition of synthetic ANaB(LiMg)CMg5Si8O22(OH)2 amphibole: an X-ray synchrotron powder diffraction and FTIR spectroscopic study

The synthetic amphibole Na_0.95(Li_0.95Mg_1.05)Mg₅Si₈O₂₂(OH)₂ was studied in situ at high-T, using IR OH-stretching spectroscopy and synchrotron X-ray powder diffraction. At room-T the sample has P2₁ /m symmetry, as shown by the FTIR spectrum. It shows in the OH region two well-defined and intense absorptions at 3,748 and 3,712 cm⁻¹, respectively, and two minor bands at 3,667 and 3,687 cm⁻¹. The main bands are assigned to the two independent O–H groups in the primitive structure. The two minor bands evidencing the presence of small amount of vacant A-site (^A□_0.05). With increasing T, these bands shift continuously and merge into a unique absorption at high temperature. A change as a function of increasing T is revealed by the evolution of the refined unit-cell parameters, whose trend shows a transition to C2/m at about 320–330°C. The spontaneous scalar strain, fitted with a tricritical 2–6 Landau potential, gives a T _c of 325(10)°C (β parameter = 0.27). Comparison with the second-order P2₁ /m ⇔ C2/m phase transition at 255°C for synthetic amphibole ^ANa_0.8^B(Na_0.8Mg_1.2)^CMg₅Si₈O₂₂(OH)₂ indicates that the substitution of Na with Li at the B-sites strongly affects the thermodynamic character and the T _c of the phase transition. The comparison of LNMSH amphiboles with cummingtonitic ones shows that the high-T thermodynamic behaviour is affected by A-site occupancy.     

LiMn_2O_4的溶胶─凝胶─酯化法合成及性能Ⅱ 立方尖晶石的形成及其形貌

以溶胶-凝胶-酯化法在220℃即可得到纯相的LixMn2O4（0.762＜x＜1.139）尖晶石粉体材料。它在880℃时发生立方相向四方相的转变：900℃－1000℃间,四方相渐变为正交相LiMnO2,过程中有Li2MnO3生成。应用SEM、TEM观测了材料的粘度及形貌,其粒度10－40nm,粒子间极易团聚成为1-206μm的团块。以BET法测其比表面为3.6m2／g。     

中甸火山-岩浆弧燕山期热林复式岩体演化 与Ar-Ar 定年及铜钼矿化

产于中甸印支期火山一岩浆弧北东缘的燕山期热林复式岩体,从早至晚边部到中部划分出主期由细粒似斑状二长花岗岩→中粒似斑状二长花岗岩和边部补充期二长花岗斑岩5个侵入体组成的同源岩浆细粒→中粒→斑状结构演化系列.岩体岩石化学、稀土和微量元素总体反映为同熔型花岗岩特征.在复式岩体Ⅱ号侵入体中粒似斑状二长花岗岩中获黑云母Ar-Ar同位素等时年龄81.7±1.1Ma,坪年龄82.01±0.86 Ma,属燕山晚期侵入体.铜钼矿主要产于晚期侵入体中,边部细粒花岗岩和角岩内带具有细脉状黄铜矿、团块状辉钼矿化;中部发生二长花岗(斑)岩热液蚀变充填交代辉钼矿化--辉钼矿石英细脉、中粗晶浸染状;以及沿裂隙发育岩浆期后含矿热液充填交代辉钼矿化,构成燕山期花岗斑岩铜钼成矿亚系列.成因类型:蚀变花岗斑岩、石英脉型和角岩型3种,指示了燕山期二长花岗斑岩类具有较好的铜钼找矿潜力.     

水汽瞬态相变的激波管实验研究进展

从激波管内水汽瞬态相变实验研究的角度出发，探讨利用激波管理论及实验技术应用于人工影响降雨、消雹所涉及的云雾瞬态相变问题。首先介绍利用激波管研究水汽瞬态相变的概况，并介绍一些特殊激波管及实验状态的控制。然后介绍激波管内水汽相变过程研究的测试原理及方法。最后讨论在研究爆炸方法进行人工降雨、消雹和自然闪电、雷击等问题时，应用激波管理论及实验技术进行实验研究爆炸作用于云雾等微物理过程的方法和内容     

内蒙古中西部宝音图群石榴角闪岩的地球化学、变质作用及年代学特征

宝音图群分布于内蒙古中西部狼山、图古日格和达茂旗一带,主要由云母片岩、石英片岩、石英岩、角闪岩和大理岩组成。在狼山格尔敖包沟和图古日格西南地区发育十分典型的石榴角闪岩,均以似层状或透镜状产自云母片岩中,但两地具有不同的矿物组合,前者主要以石榴石+角闪石+斜长石+含钛矿物（金红石和钛铁矿）为特征,后者主要以石榴石+角闪石+绿帘石+含钛矿物（金红石和钛铁矿）为特征。地球化学研究显示两个地区的石榴角闪岩原岩具有相似的化学组成,均为亚碱性玄武岩的拉斑系列。宝音图群的石榴角闪岩具有右倾的稀土配分模式,REE总量为83.31×10^-6~125.9×10^-6,（La/Yb）_N比值为2.17~6.48,δEu=0.87~0.98。Ta、Nb、Ti没有明显的负异常,其配分型式类似E-MORB特点。微量元素构造判别图解表明这些石榴角闪岩的原岩产于板内拉张环境中。本文通过模拟格尔敖包沟样品LS01和图古日格西南地区样品LS35的P-T视剖面图研究其变质作用及矿物演化过程,结果显示这两个样品均经历了早期进变质,峰期以及峰后近等温减压的顺时针型P-T轨迹。样品LS01的峰期温压条件为~11kbar/~735℃,模拟得到的峰期矿物组合可能为石榴石+角闪石+斜长石+黑云母+透辉石+金红石+熔体,P-M（H₂O）视剖面图显示,由于峰后演化过程中存在饱和流体渗透,导致峰期透辉石无法保留。样品LS35的峰期温度压力条件为~8kbar/675℃,其峰期组合为石榴石+角闪石+绿帘石+金红石。两个地区的石榴角闪岩的温度压力条件明显不同,推测宝音图群中呈透镜体或似层状产出的变质基性岩,存在着递增型的变质作用。锆石LA-ICP-MS U-Pb年代学的研究结果显示石榴角闪岩样品LS01的变质锆石年龄为394±8Ma。由此推测这些石榴角闪岩的原岩可能形成于华北北缘在新元古代发育的裂陷盆地,在泥盆纪中期,宝音图群作为华北克拉通的一部分,被卷入到与古亚洲洋闭合有关的造山过程,发育中压型递增变质作用。

     

利用光变曲线估计猎鹰九号火箭末级的旋转状态研究

光度观测是地基观测空间目标的主要手段之一,利用光度信息能够估计空间目标的相关特征信息.为了更好地了解空间目标的旋转状态,选取具有代表性的猎鹰九号火箭末级作为研究对象,由其光变信息研究旋转状态.首先利用云南天文台1.2 m光学望远镜获取猎鹰九号火箭末级的光度数据,再对目标星等进行斜距归一化,得到目标光变信息并分析目标星等...     

早古生代北阿尔金HP/LT混杂岩片——一个“化石”俯冲隧道

北阿尔金高压/低温（HP/LT）变质岩呈构造岩片分布在俯冲-增生杂岩中,主要由强变形的变质沉积岩（泥质片岩、钙质片岩和石英片岩）和少量呈透镜状分布在变沉积岩中的蓝片岩和榴辉岩组成,与相邻的蛇绿混杂岩呈断层接触。榴辉岩主要矿物为绿辉石、石榴子石、多硅白云母、石英、冻蓝闪石,含少量蓝闪石、绿泥石、方解石、钠长石、榍石。蓝片岩主要矿物为蓝闪石、石榴子石、碳酸盐类矿物、阳起石、绿帘石、钠云母、绿泥石、钠长石和石英,偶见多硅白云母,其中在部分蓝片岩的石榴子石中有少量硬柱石和绿辉石包体。本文对蓝片岩（样品A06-16-7）和榴辉岩（样品A03-3-5.3）开展了岩石学和相平衡模拟研究,得到它们形成的压力峰期的温压条件分别是：T=~524℃、P=~2.1GPa和T=~527℃、P=~2.2GPa,并均经历了后期蓝片岩相的退变质叠加。结合区域上已有的研究表明,北阿尔金HP/LT混杂岩片中不同类型岩石可能经历了不同的变质演化历史,反映了古俯冲隧道的不均匀性,并在俯冲隧道的较浅部混杂在一起,共同经历了蓝片岩相或蓝片岩-绿片岩过渡相条件下的透入性变形作用。