对称不稳定的非线性问题和对称型重力惯性波的非线性周期解

本文利用密度的空间分布不均匀性引入非线性项，从准动量无辐散模式出发导出了一个自治的二阶非线性系统，应用这个系统讨论了非线性项对对称不稳定以及对称型重力惯性波非线性周期解的作用。从本系统的一次近似系统可得到类似Hoskins于1974年得到的结论，同样可导出对称不稳定的位涡判据。由于本系统是一有限次的非线性系统，故应用Poincare形式级数法可证明非线性周期解的存在性，并可求得周期解的一系列近似解。     

西安地铁二号线沿线地裂缝未来位错量估算及工程分级

地裂缝在地铁设计使用期内的最大垂直位错量是西安地铁二号线穿越地裂缝结构设计的一个十分重要的参数。本文以历史水准监测资料为基础,分析了西安地铁二号线沿线各地裂缝在不同历史阶段的活动特征与活动原因,对各地裂缝的未来活动趋势进行了预测。然后通过基于不同时间段地裂缝活动速率的最大垂直位错量估算结果的对比分析,得出了地铁设计使用期内各条地裂缝与地铁交汇点处地裂缝的最大垂直位错量,并以此为依据,将西安地铁二号线沿线地裂缝分为Ⅰ、Ⅱ、Ⅲ和Ⅳ级等4个工程级别。     

First results on the LPO-derived seismic properties of iron ores from the Quadrilátero Ferrífero region, southeastern Brazil

The role of hydrothermal fluids in assisting the activity of strike-slip faults is investigated using a range of new geological, geophysical, and geochemical data obtained on the Argentat fault, Massif Central, France. This fault zone, 180-km-long and 6 to 8 km-width, has experienced coeval intense channeling of hydrothermal fluids and brittle deformation during a short time span (300–295 Ma). According to seismic data, the fault core is a 4-km-wide, vertical zone of high fracture density that rooted in the middle crust (~ 13 km) and that involved fluids in its deeper parts (9–13 km depth). If stress analyses in the fault core and strain analyses in the damage zone both support a left-lateral movement along the fault zone, it is inferred that hydrothermal fluids have strongly influenced fault development, and the resulting fault has influenced fluid flow. Fluid pressure made easier fracturing and faulting in zones of competent rocks units and along rheological boundaries. Repeated cycles of increase of fault-fracture permeability then overpressure of hydrothermal fluids at fault extremity favored strong and fast development of the crustal-scale strike-slip fault. The high permeability obtained along the fault zone permitted a decrease of coupling across the weak fault core. Connections between shallower and lower crustal fluids reservoirs precipitate the decrease of fault activity by quartz precipitation and sulfides deposition. The zones of intense hydrothermal alteration at shallows crustal levels and the zones of fluid overpressure at the base of the upper crust both controlled the final geometry of the crustal-scale fault zone.     

一类中立型差分方程的非振动解

讨论了中立型差分方程Δ(xn-λxn-k) pnf(xg(n))=0的非振动解。首先证明可以根据非振动解{xn}当n→∞时的渐近性质把非振动解分成两类;其次分别给出存在这两类非振动解的充分条件;最后给出例子说明定理的应用。     

The correlations and anticorrelations in QPO data

Double peak kHz QPO frequencies in neutron star sources varies in time by a factor of hundreds Hz while in microquasar sources the frequencies are fixed and located at the line ν ₂ = 1.5ν ₁ in the frequency‐frequency plot. The crucial question in the theory of twin HFQPOs is whether or not those observed in neutron‐star systems are essentially different from those observed in black holes. In black hole systems the twin HFQPOs are known to be in a 3:2 ratio for each source. At first sight, this seems not to be the case for neutron stars. For each individual neutron star, the upper and lower kHz QPO frequencies, ν ₂ and ν ₁, are linearly correlated, ν ₂ = Aν ₁ + B , with the slope A < 1.5, i.e., the frequencies definitely are not in a 1.5 ratio. In this contribution we show that when considered jointly on a frequency‐frequency plot, the data for the twin kHz QPO frequencies in several (as opposed to one) neutron stars uniquely pick out a certain preferred frequency ratio that is equal to 1.5 for the six sources examined so far. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

登陆广东省热带气旋的奇异谱分析

利用奇异谱方法(SSA方法)分析登陆广东省的热带气旋的演变规律，发现年登陆的热带气旋数存在明显的8年、准3年的周期振荡；登陆珠江口以西的热带气旋数存在12年、准2年的周期振荡。把产生热带气旋的源地——西北太平洋划分为8个海区，对每个海区的海表温度进行奇异谱分析，结果显示NIN0西区和暖池海区分别存在8年和3年的准周期振荡及12年和2年的周期振荡，这很可能是登陆广东的热带气旋产生的物理原因。最后结合最大炳谱方法(SSA—MEM)做出登陆广东省的全年和登陆珠江口以西的热带气旋趋势预报，其效果较理想，在短期气候预测业务中有一定的参考价值。