求解变分不等式的Newton迭代的半局部收敛性分析

分析了求解变分不等式Newton方法的半局部收敛性，建立了类似于Kantorovich定理的收敛性结果。该结果不仅为判断Newton方法的收敛性提供了可计算的充分条件，也给出了Newton方法的收敛域以及问题解的存在区域。同时，文章也得到了Newton方法的若干收敛性质，包含收敛阶以及可计算的误差估计式等。     

Primary dolostone related to the Cretaceous lacustrine hydrothermal sedimentation in Qingxi sag, Jiuquan Basin on the northern Tibetan Plateau

Based on comprehensive studies in petrography, petrofabric analysis and geochemistry, this paper describes a unique and rare laminated micritic ferruginous primary dolostone crystallized and precipitated from the alkaline hot brine under the conditions of the Mesozoic faulted lake basin. The main rock-forming mineral of this dolostone is ferruginous dolomite with a micritic structure. This dolomite mostly exhibits laminae of 0.1–1 mm thick and is often discovered with other minerals, such as albite, analcite, barite and dickite, which have at least two types of interbedded laminae. Petrogeochemistry reveals that this dolostone contains a large number of typomorphic elements of hydrothermal sedimentation, including Sb, Ba, Sr, Mn, and V. In addition, the LREE is in relatively high concentrations and possesses the typical REE distribution pattern with negative Eu anomaly. Oxygen isotope values (δ¹⁸O_PDB) range from 5.89‰ to 14.15‰ with an average of 9.69‰. The ratio of ⁸⁷Sr/⁸⁶Sr is between 0.711648 and 0.719546, with an average of 0.714718. These data indicate that the depositional environment is a stable, blocked, anoxic low-lying hot brine pool in the bottom of deep lake controlled by basement faults. The hydrothermal fluid is the alkaline hot brine formed by the combination of the infiltration lake water and mantle-derived magmatic water, consisting of many ions, including Ca²⁺, Mg²⁺ and Fe²⁺. Under the driving flow power of magmatic heat, gravity and compaction, the hydrothermal fluid overcame the overburden pressure and hydrostatic pressure of the lake water body, and boiled to explosion, and then the explosion shattered the original laminated micritic ferruginous primary dolostone near the vent and then formed a new type of dolostone called shattered “hydroexplosion breccias”. In the low-lying, unperturbed hot brine pool, far from the vent, the laminated micritic ferruginous primary dolostone was quickly crystallized and chemicals precipitated from the hydrotherm. This study of special rocks contributes to research into the causes of the formation of lacustrine carbonate rocks and dolostone. In particular, it provides new examples and research insights for future studies of the lacustrine dolomite from the similar Mesozoic and Cenozoic basins in China.     

相关处理机多制式兼容性测试的初步结果

我国VLBI网包括上海佘山、乌鲁木齐和昆明 3个观测站 ,以及上海天文台研制的两台站相关处理机。上海佘山和乌鲁木齐站已升级成MK4制式和只使用薄磁带 ,而昆明站只能使用S2制式。因此 ,实现相关处理机对不同制式数据和薄磁带的兼容 ,是我国VLBI网顺利运行的关键。给出了多制式VLBI观测实验和相关处理的初步结果 ,总结了相关处理机升级后的处理能力 ,并对相关处理机的下一步发展作简单讨论     

地震趋势分析法在台湾地区的应用

在北纬 2 1°～ 2 6° ,东经 119°～ 12 3°内 ,依据板块运动、地体构造界线、活动断层分析和强震震中分布四个因素 ,绘制台湾地区的地震地体构造区分图 ;将台湾地区分成东西两个地震区 ;E1～E4、W1～W4等共八个地震带。根据强震幕式分析、地震活动性水平分析、地震频次与缺震异常分析和空区与条带分析四个地震趋势分析步骤 ,分析 2 0 0 1年和 2 0 0 2年台湾地区的中强地震趋势。实际地震结果表明 ,这种地震趋势分析方法在台湾地区有非常好的应用效果。     

基于节水视角的中国水资源压力时空演变及影响因素分析

基于水资源节约视角,采用区域水资源规划消耗量占该地区水资源可利用量的比重来测算水资源压力指数,运用趋势分析、探索性数据分析(ESDA)方法对2005-2017年中国31个省市水资源压力指数空间格局演化特征与空间相关性进行分析,并选取8个相关变量,采用地理探测器探究影响水资源压力指数空间分异的因素,结论如下:①研究期内,...     

The Erupting-Flow Model and Erupting-Flow Types in Yangbajain Geothermal Field in China

Erupting-flow types of geothermal wells in the Yangbajain geothermal field, China, are proposed based on internal energy of geothermal fluids and hydrogeologic-dynamic conditions of wellbore. An erupting-flow model, which is adaptable to the steaming and erupting of flow from wells in the field, has been verified by actual cases.     

Isostatic status in North China (1) Method and local compensation

Following Airy and Pratt principles, five kinds of local-compensation models are analysed and a rapid 3-D gravity formula is utilized to calculate isostatic anomalies for 66 models with different parameters. It is noted that isostatic gravity maps appear nearly identical in their main patterns and features. The optimum compensation model in North China is one of modified Airy models in which the different density distribution in the surface, upper crust and lower crust is taken into account and the standard crustal thickness is about 50km. The position of the complete compensation interface is located in the upper mantle. The North China platform as a whole is under sub-isostatic equilibrium status with an isostatic anomaly of about 18·10⁻⁵ m/s² on an average. The distribution of isostatic gravity anomaly shows an obvious blockwise pattern. Most positive anomaly areas occur over the eastern part, the Jiao-Liao Block, Mt. Yan block and northern margin of the Hebei-Shandong block, whereas a negative area occurs in the Shanxi graben. The comparison of models indicates that the Moho discontinuity is not suitable to be taken as a compensation interface, and the compensation effects in Airy model are better than that in Pratt model, which is consistent with the feature of dominant layered structure and less lateral inhomogeneity in crust. Some results about composite compensation, the basic characteristics of isostatic anomaly and deep stucture will be published later in the second part of this paper. Wang Bowen took part in some work in this paper.     

小震空间分在奇异性谱f（α）研究

本文用数盒子法计算了１９７９年３月２日固镇５．０级、１９７４年４月２２日溧阳５．５级和１９７９年７月９日溧阳６．０级地震前后小震空间分布分形集合的奇异性谱ｆ（α），详细讨论了ｆ（α）谱所揭示的主震前后各阶段小震空间分布从稀疏到密集的各种密度分布不均匀性的定量特征。经分析可以看出，奇异性谱ｆ（α）较多重分形谱Ｄｑ的概念更直观、清晰，它包含了空间分布的全部信息，且计算量明显减少。     

福建滨海木麻黄林下土壤性质的变化及其对林带更新的影响

研究了福建滨海沙地木麻黄防护林Ｍｏ的生物地球化学循环特征和林下土壤ｐＨ的变化，发现因Ｍｏ的生物地球化学循环不平衡引起的土壤微量元素Ｍｏ的耗竭和土壤的酸化是木麻黄林早衰和迹地更新生长不良的重要原因。提出了相应的对策建议。     

VLBI单基线解算地球自转参数的秩亏性证明

本文由VLBI延迟观测的基本方程出发,证明了VLBI单基线观测解算地球自转参数时存在的秩亏性。