岩石分数阶体积变形模型及其试验研究

为了可以合理地描述岩石的体积变形行为,从分数阶微积分出发,基于分数阶常黏性和变黏性系数Abel黏壶元件,提出了环向-轴向应变分数阶黏壶,构建了岩石在单三轴压缩,松弛及蠕变条件下的分数阶体积应变-轴向应变关系,得到了模型的解析解,新模型可为求解岩石的体积应变提供一种新方法。在完整砂岩、泥岩试样及单裂隙砂岩试样的单三轴压缩、松弛及裂隙花岗岩蠕变试验数据的基础上,通过拟合分析确定了分数阶导数体积-轴向应变关系模型的参数,并进行了参数敏感性分析,揭示了围压、单裂隙倾角、微分阶数及模型参数对体积应变的影响规律。结果表明,利用该黏壶构建的体积-轴向应变关系模型,不仅可以更好地描述岩石体积变形的剪缩、剪胀特性,还能够反映岩石的松弛及蠕变变形特性。     

基于分式析因及最佳子集回归的多种污染物复合污染特征——阿特拉津与多种污染物在松花江沉积物上的吸附效应

为揭示农药（晶体乐果、甲霜灵、阿特拉津、马拉硫磷、扑草净）与重金属（铜、锌、铅、镉、镍）10种污染物共存时的复合污染规律,以阿特拉津为目标污染物,采用分辨度为Ⅲ的2^10-6分式析因实验设计,并用完全折叠实验和区组设计进行辅助,通过多元线性回归的建模方法筛选并建立了以阿特拉津为因变量、10种污染物因子主效应和二阶交互效应为自变量的多元线性回归吸附模型。研究表明：共存体系中因子主效应项铅、铜、锌、镉、镍和农药晶体乐果显著抑制（显著性水平α=0.05）阿特拉津在沉积物上的吸附,与阿特拉津产生竞争吸附效应,因重金属主效应产生的拮抗作用占总拮抗作用的63.5%,其拮抗作用从大到小为镍、镉、晶体乐果、锌、铅、铜;在以镍为关键自变量的二阶交互效应项中,因二阶交互效应项产生的协同或拮抗作用占阿特拉津吸附能力的35.3%,其中,铅、镉和晶体乐果抑制镍与阿特拉津的竞争吸附,与阿特拉津在沉积物上的吸附发生协同作用,协同作用从大到小为镉×镍、铅×镍、镍×晶体乐果;而镍作为调节自变量的二阶交互效应项镍阿特拉津会促进阿特拉津的吸附,说明多种污染物共存体系中重金属镍对阿特拉津在沉积物上吸附影响作用的复杂性和重要性。     

Fractional order intensity measures for probabilistic seismic demand modeling applied to highway bridges

Probabilistic seismic analysis of structures involves the construction of seismic demand models, often stated as probabilistic models of structural response conditioned on a seismic intensity measure. The uncertainty introduced by the model is often a result of the chosen intensity measure. This paper introduces the concept of using fractional order intensity measures (IMs) in probabilistic seismic demand analysis and uses a single frame integral concrete box‐girder bridge class and a seismically designed multispan continuous steel girder bridge class as case studies. The fractional order IMs considered include peak ground response and spectral accelerations at 0.2 and 1.0 s considering a single degree of freedom system with fractional damping, , as well as a linear single degree of freedom system with fractional response, . The study reveals the advantage of fractional order IMs relative to conventional IMs such as peak ground acceleration, peak ground velocity, or spectral acceleration at 0.2 and 1.0 s. Metrics such as efficiency, sufficiency, practicality, and proficiency are measured to assess the optimal nature of fractional order IMs. The results indicate that the proposed fractional order IMs produce significant improvements in efficiency and proficiency, whereas maintaining practicality and sufficiency, and thus providing superior demand models that can be used in probabilistic seismic demand analysis. Copyright © 2011 John Wiley & Sons, Ltd.     

Myctophid fish recorded from New Zealand as Lampanyctus Guentheri reidentified as L. austraus (note)

The myctophid fish Lampanyctus guentheri ( = Lcpidophanes guenlheri) recently recorded from New Zealand is reindentified as Lampanyctus australis. The genus Lepidophanes is known only from the Atlantic Ocean.     

东北准噶尔哈旦逊石炭纪弧岩浆及堆晶柱形成机制

为了阐明东北准噶尔弧岩浆形成机制和破译中地壳P波高速块体,对哈旦逊石炭纪侵入杂岩进行了锆石U-Pb年龄(324.8～323.1 Ma)和 δ18O及 εHf(t)、矿物化学、主微量元素和Nd-Sr同位素分析.其稀土元素分布模式上凹,从闪长岩(夹带角闪石岩堆晶)到二长花岗岩的主微量元素变异可以用两阶段分离结晶模拟.结果显...     

Glass and Mineral Chemistry of Northern Central Indian Ridge Basalts:Compositional Diversity and Petrogenetic Significance

Abstract: The glass and mineral chemistry of basalts examined from the northern central Indian ridge (NCIR) provides an insight into magma genesis around the vicinity of two transform faults: Vityaz (VT) and Vema (VM). The studied mid-ocean ridge basalts (MORBs) from the outer ridge flank (VT area) and a near-ridge seamount (VM area) reveal that they are moderately phyric plagioclase basalts composed of plagioclase (phenocryst [An60–90] and groundmass [An35–79]), olivine (Fo81–88), diopside (Wo45–51, En25–37, Fs14–24), and titanomagnetite (FeOt ~63.75 wt% and TiO2 ~22.69 wt%). The whole-rock composition of these basalts has similar Mg# [mole Mg/mole(Mg+Fe2+)] (VT basalt: ~0.56–0.58; VM basalt: ~0.57), but differ in their total alkali content (VT basalt: ~2.65; VM basalt: ~3.24). The bulk composition of the magma was gradually depleted in MgO and enriched in FeOt, TiO2, P2O5, and Na2O with progressive fractionation, the basalts were gradually enriched in Y and Zr and depleted in Ni and Cr. In addition, the SREE of magma also increased with fractionation, without any change in the (La/Yb)N value. Glass from the VM seamount shows more fractionated characters (Mg#: 0.56–0.57) compared to the outer ridge flank lava of the VT area (Mg#: 0.63–0.65). This study concludes that present basalts experienced low-pressure crystallization at a relatively shallow depth. The geochemical changes in the NCIR magmas resulted from fractional crystallization at a shallow depth. As a consequence, spinel was the first mineral to crystallize at a pressure >10 kbar, followed by Fe-rich olivine at <10 kbar pressure.     

连续排水边界下分数阶黏弹性饱和土体一维固结分析

采用分数阶Kelvin模型来描述饱和土体的流变特性,在连续排水边界条件下,利用Laplace变换推导出变换域内的饱和土体一维固结解析解,再通过Crump法对有效应力和固结沉降进行数值反演,得到了分数阶导数黏弹性饱和土体的一维固结半解析解。将连续排水边界退化到Terzaghi排水边界,退化后的结果与已有文献一致,验证了所得半解析解的可靠性。最后,基于所得解,分析了相关参数对土体固结的影响。结果表明,界面参数反映排水边界的透水性,从而影响土体中超孔隙水压力的消散速率;黏滞系数在固结后期对沉降发展影响较大,其值越大,沉降发展越慢;当阶次a不为零时,分数阶次越小,土体表现出的黏滞性越强,整体固结沉降发展越缓慢,次固结沉降发展也越缓慢。     

一种基于分数阶傅里叶变换的改进图像加密算法

针对目前基于分数阶傅里叶变换的图像加密算法中存在的不足,设计了一种基于分数阶傅里叶变换和混沌系统的图像加密新算法。图像加密过程分两个步骤：首先将原始图像的分数阶傅里叶变换系数经过双随机相位加密,然后利用混沌系统生成的置乱矩阵对图像进行置乱加密后得到最终的加密图像。方案的安全性依赖于随机相位掩膜、分数阶傅里叶变换阶数以及混沌系统的初始参数。理论分析和模拟实验结果表明该方案具有良好的图像加密效果。     

采用分数阶导数描述软黏土蠕变的模型

按遗传流变理论来推导软黏土的蠕变模型,提出了一种新的蠕变核函数形式的选取方法,即用修正Burgers模型的导数形式作为蠕变核函数,随着参数取值的不同,该经验模型能模拟蠕变发展到不同阶段的蠕变曲线,探讨了该模型能精确描述软黏土的蠕变变形的原因,模型具有参数少、物理意义明确,适用性强的特点,能有效地描述湛江软黏土的蠕变特性。该研究内容也是对分数阶微积分进行应用研究的一种新的尝试。     

Petrological inferences on the evolution of magmas erupted in the Andagua Valley,Peru (Central Volcanic Zone)

Major and trace element and Sr and Nd isotope data is presented from the Andagua valley scoria cone and lava field (15°32′ S 72°19′ W), Southern Peru in the northernmost part of the Central Volcanic Zone (CVZ). The rocks are all quite evolved in composition (SiO₂ = 55–64 wt.%) and classify as benmoreites, latites and few mugearites and trachytes. Samples are characterized by high Na₂O (4.2–5.2 wt.%), Sr (600–1300 ppm), Ba (800–1600 ppm). The main difference between the benmoreites and latites is in the Na₂O content that reach the highest so far reported from CVZ for these SiO₂ concentrations. The rocks are generally nearly aphyric but latites and trachytes are more porphyritic. Amphibole microphenocrysts generally are only present in latites and trachytes. The difference between benmoreite and latite samples is reflected in lower P₂O₅ and Zr content of the latite samples documenting the existence of two compositional different parental magma types. The investigated volcanic activity spans the Pleistocene to Recent with the historic activity concentrated in the area just south of Andagua. Combined relative stratigraphy, petrography and geochemistry define volcanic units and demonstrate that rocks from Chilcayoc Grande, Chilcayoc Chico 2, Jenchana, Sucna 1 and Chilcayoc Chico 1 represent the most recent volcanic activity. The main trend samples, each form a co-magmatic group resulting in sub-parallel trends in many variations diagrams. It is furthermore shown that these trends point towards calculated mixing lines relating the individual units through a binary mixing process, thus indicating a two stage evolution. In the case of Jenchana, Sucna 1 and Chilcayoc Chico 1, the samples define positive correlation trends in the Sr vs. Rb diagram that can be extrapolated back towards origo indicating nearly perfect incompatibility of Sr and Rb. This together with generally high Sr/Y (50–105) and low Y content (< 16 ppm) suggest lack of plagioclase fractionation and residual garnet in the source and is taken as evidence for relatively high pressure (lower crustal) origin of the mixing event. The amphibole bearing samples form individual co-magmatic groups that cannot be related to each other. This means that the amphibole bearing samples originates from different magmas. The lavas of the Ninamama group are comparable in age to the main trend samples but different in petrography and composition, why the two compositional different magmas must have existed within a small confined area within a limited time span.