具有给定超越整函数解的微分方程的唯一性

设n≥1为给定的某个自然数,pi(z)(i=1,2,3,4)是不恒为0的多项式,f(z)是1个超越整函数。如果f(z)是如下形式p1(z)[f(n)(z)]2 p2(z)f(n)(z)f(n-1)(z) p3(z)[f(n-1)(z)]2 p4(z)=0代数微分方程的解,证明如上的微分方程形式具有某种唯一性,即多项式pi(z)(i=1,2,3,4)是唯一确定的。     

房价收入比分布规律及分析——基于河南省与全国数据对比

采用比较法和成本-收益法以河南省为例分析省域范围内房价收入比的空间分布规律,从经济地理学和经济学双重角度进行解释。结果显示:省域范围内以省会城市为房价收入比的极点,随时空距离增加和城市化水平下降,逐渐向外发散递减。这种规律分布是经济增长极对周边区域资源吸引、自身土地资源高度稀缺所致。现阶段,基于对高级别城市优越的公共资源和工业、商业环境效用的评价,在不超出支付能力的前提下,选择高级城市居住是人们理性追求居住净收益最大化的结果。未来随着城镇化发展进入成熟期,人们对城市人居环境更加关注,经济增长极的扩散效应逐渐增强,此时房价收入比的"鹤立"模式会逐渐消亡。     

青藏高原拉萨地块早白垩纪火山岩古地磁结果及其构造意义

对青藏高原拉萨地块早白垩纪火山岩15个采点的古地磁测定,揭示了一组高温特征剩磁分量.实验结果表明采样剖面获得的早白垩统卧荣沟组的古地磁结果全部为正极性,显示与早白垩纪正极性超静带的极性特征相似.对岩石的显微镜观察表明岩石未受后期热液化学交代作用和风化作用,这表明所获得的高温分量很可能代表岩石形成时的原生剩磁.其特征剩磁方向为:偏角D=18.4°,倾角I=26.5°,α95=8.6°;相应的极位置为:经度ψp=220.3°E,纬度λp=66.4°N,dp=9.3°,dm=6.9°,古纬度plat=14.0°.通过对比拉萨地块以北诸地块早白垩纪古地磁结果,认为拉萨地块在早白垩纪已与芜塘地块碰撞拼合在一起,而自早白垩纪以来相对欧亚大陆发生了1500±600km的构造缩短.结合拉萨地块已有的晚白垩纪和古新纪古地磁数据,认为欧亚大陆的最南缘(拉萨地块)在印度/欧亚大陆发生碰撞前自早白垩纪一始新纪一直处于北纬12.8°～14°N低纬度位置,并未发生明显的纬向运动.     

潮汐改正对精密GPS基线解算的影响

介绍了三类潮汐模型改正,分析了中国及周边地区不同类型、大尺度GPS网,研究了极潮、大洋潮、固体潮模型改正对定位精度的影响,给出了模型的使用方法.     

高密度电法在复杂场地地基勘察中的应用

高密度电阻率法适用于场地环境复杂的城市地基勘察,野外施工方便。采用温纳和单边三极测量方式,通过改进布线和布极来克服场地面积小、接地电阻大等困难,在实际应用中取得了良好的效果。     

Quasi-periodic geomagnetic secular variation (from 1985–2005 world observatory data)

We have discovered a 2–4 year periodicity in geomagnetic secular variation (SV) from data of 110 world magnetic observatories. The periodicity in the horizontal component (H) is most prominent and appears to be globally uniform in different regions, on all continents, and in both hemispheres. The quasi-periodic short-wavelength variations show up in the vertical component (Z) as well but locally superpose on long-wavelength regional anomalies. We presume that the short-period fluctuations may be produced by instability of the eccentric dipole (ED) axis proceeding from the analysis of the SV field and optimization modeling of the dipole field with varied ED parameters.     

Carboniferous palaeomagnetism of the Rocky Creek Block,northern Tamworth Belt,and the New England pole path

Palaeomagnetic, rock magnetic and magnetic fabric results are presented for a Carboniferous (Visean to Westphalian) succession of felsic, mainly ignimbritic, volcanic and volcaniclastic rocks from the Rocky Creek Block of the northern Tamworth Belt, southern New England Orogen. Detailed thermal demagnetisation of 734 samples from 64 sites show three groups of magnetic components with low (<300°C), intermediate (300–600°C) and high (500–680°C) unblocking temperature ranges. Well‐defined primary magnetisations have been determined for 28 sites with evidence of four overprint phases. The overprints arise from a mid‐Tertiary weathering event (or possibly recent viscous origin), and from fluid movements associated with the Late Cretaceous opening of the Tasman Sea, thrusting during the Middle Triassic main phase of the Hunter‐Bowen Orogeny, and latest Carboniferous — Early Permian formation of the Bowen‐Gunnedah‐Sydney Basin system. Rock magnetic tests establish that the primary magnetisation carriers in the volcanic rocks are mainly magnetite (predominantly single domain, or pseudo‐single domain, and little or no multidomain) and hematite. Optimal magnetic cleaning is achieved at high to very high temperatures, with subtle, but systematic, directional and statistical differences between primary components derived from the mainly hematite fraction and pseudo‐components derived from the mainly magnetite fraction. The 28 primary magnetisation results are presented as six mean‐site results, summarised below and representing 25 sites, and three single‐site results. Fold tests could be applied to five mean‐site results. These are all positive, but one of these results may represent a secondary magnetisation. The primary magnetisation results define a Visean to Westphalian pole path. This long pole path indi cates extensive latitudinal and rotational movement for the Rocky Creek Block, and potentially for the New England Orogen, as follows: (i) Yuendoo Rhyolite Member (Caroda Formation, Visean) pole 235.8°E, 27.7°S, ED₉₅ = 9.0°, n = 3; (ii) Peri Rhyolite Member/Boomi Rhyolite Member (Clifden Formation, Namurian, 318.0 ± 3.4 Ma) pole 177.4°E, 63.4°S, ED₉₅ = 5.2°, n = 3; (iii) tuffaceous beds above Boomi Rhyolite Member (Clifden Formation?, Namurian) pole 162.2°E, 59.1°S, ED₉₅ = 10.2°, n = 3; ((iv) upper Clifden Formation/lower Rocky Creek Conglomerate (Namurian/Westphalian) pole 95.3°E, 49.6°S, ED₉₅ = 8.1°, n = 3 (possible overprint)); (v) Rocky Creek Conglomerate (Westphalian) pole 136.5°E, 57.6°S, ED₉₅ = 5.3°, n = 5; (vi) Lark Hill Formation (Westphalian) pole 127.0°E, 50.4°S, ED₉₅ = 4.8°, n = 8.     

边坡加固中预应力锚索框架地梁的杆系有限元分析

提出利用杆系有限元,考虑地梁与岩土体相互作用的方法,对边坡加固中的预应力锚索框架地梁进行计算。基于线弹性Winkler地基模型,分别考虑结构的弯曲变形和扭转变形,对框架地梁有限元计算模型进行了详细地分析说明。应用该方法对某工程实例进行了计算,与实测值的对比分析结果表明了该方法的可行性。     

分带变倾角化极磁场图在大范围航磁解释中的应用

在航磁ΔT异常解释中存在由于倾斜磁化而引起的异常形态变化问题,特别是在低纬度地区,当编图范围南北跨度很大时,即使相同磁性体,在南部和北部引起的异常特征也有明显差异,给磁异常解释带来麻烦。通过理论与实际相结合的方法,简述了分带变倾角化极磁场图在大范围航磁ΔT解释中的应用效果。     

总磁异常△T与油气田火山岩展布研究

东海某油气田研究区分布有火山岩。鉴于火山岩具有磁性这一特征,基于总磁异常△T成果,采用总磁异常△T变倾角化极技术、小波多尺度分解技术,研究了火山岩在该区的展布与厚度。研究结果表明,具备必需的物性、磁性体分布规模等条件,在油气田开发中采用磁测成果研究磁性体展布是可行的。