Time and space nonlocalities underlying fractional-derivative models: Distinction and literature review of field applications     

Yong Zhang  David A. Benson  Donald M. Reeves 《Advances in water resources》2009

We investigate the spatiotemporal nonlocality underlying fractional-derivative models as a possible explanation for regional-scale anomalous dispersion with heavy tails. Properties of four fractional-order advection–dispersion equation (fADE) models were analyzed and compared systematically, including the space fADEs with either maximally positive or negative skewness, the time fADE with a temporal fractional-derivative 0<γ<1$0<\gamma <1$, and the extension of the time fADE with 1<γ<2$1<\gamma <2$. Space fADEs describe the dependence of local concentration change on a wide range of spatial zones (i.e., the space nonlocality), while time fADEs describe dynamic mass exchange between mobile and multiple immobile phases and therefore record the temporal history of concentration “loading” (i.e., the time-nonlocality). We then applied the fADEs as models of anomalous dispersion to four extensively-studied, regional-scale, natural systems, including a hillslope composed of fractured soils, a river with simultaneous active flow zones and various dead-zones, a relatively homogeneous glaciofluvial aquifer dominated by stratified sand and gravel, and a highly heterogeneous alluvial aquifer containing both preferential flowpaths and abundant aquitards. We find that the anomalous dispersion observed at each site might not be characterized reasonably or sufficiently by previous studies. In particular, the use of the space fADE with less than maximally positive skewness implies a spatial dependence on downstream concentrations that may not be physically realistic for solute transport in watershed catchments and rivers (where the influence of dead-zones on solute transport can be described by a temporal, not spatial, fractional model). Field-scale transport studies show that large ranges of solute displacement can be described by a space nonlocal, fractional-derivative model, and long waiting times can be described efficiently by a time-nonlocal, fractional model. The unknown quantitative relationship between the nonlocal parameters and the heterogeneity, and the similarity in concentration profiles that are solutions to the different nonlocal transport models, all demonstrate the importance of distinguishing the representative nonlocality (time and/or space) for any given regional-scale anomalous dispersion process.  相似文献   

Development of FBMINC model for particle diffusion in fluids     

Paul S ADDISION 《国际泥沙研究》2009,24(4):439-454

An accurate particle tracking method using FBMINC （new fractional Brownian motion） is outlined. It generates non-Fickian diffusion rather than Fickian diffusion as traditional particle tracking model does. The FBMINC model is based on fractional Brownian motion （fl3m） which is generalization of regular Brownian motion. The two models of fBms （FBM model and FBMINC model） were explored and the differences of the two models are compared from the three aspects： the standard deviation of each step, the small memory and the effect of the number of particles in the cloud. The results show the FBMINC model is a better model as it produces more accurate statistics. The effect of simple shear dispersion for both Brownian and fBm was investigated. The power law scaling of fBm shear dispersion was correctly identified. In addition, a scaling coettieient was found numerically. The FBMINC model is then used for producing both superdiffusive and subdiffusive particle paths, therefore, the non-Fickian diffusion of soil particle clouds can be modelled. The particle clouds represent soil contaminant are released in an idealised coastal bay and the fBm particle tracking method is used for simulation the particle cloud spreading in the bay. There is a noticeable increase in the spreading rate of the cloud. In addition, owning to the spreading rate of the cloud, a noticeable part of it has escaped the bay area and transported downstream. The variation of the Hurst exponent can lead to an area of the flow being affected by a contaminant cloud which is not picked up by the regular Brownian motion models. The purpose of this paper is to bring soil transport engineers a new angle on soil particle transport research in fluids. Using FBM1NC particle tracking model allows more flexibility in simulation of diffusion in soil contaminant spread in coastal bay or ocean surface.  相似文献   

富氟花岗岩中萤石岩浆成因的新证据   总被引：7，自引：0，他引：7  

李福春  朱金初  饶冰  王年生 《矿物学报》2000,20(3):224-227

通过富氟花岗岩-HF-H2O体系的熔化-结晶实验,在620～700℃、1×108Pa条件下获得了石英+碱性长石+黄玉+云母+萤石的矿物组合.在该实验体系中首次发现了八面体萤石.实验结果表明,在岩浆条件下可以形成萤石,从而为富氟花岗岩中萤石的岩浆成因提供了新证据.  相似文献   

北京房山侵入岩体：微量元素、稀土元素及Sr同位素组成对其成因的制约   总被引：13，自引：3，他引：13       下载免费PDF全文

马芳  穆治国  刘玉琳 《地球学报》2003,24(2):105-110

房山岩体是由 3次脉动式侵位形成的复式岩体 ,不同期次侵位的岩石及其中的包体来自相同的岩浆源区 ,为下地壳的中、基性火成岩。全岩 矿物Rb Sr等时线年龄为 12 6± 3Ma。第 1期至第 2期 ,主要是由以斜长石为主的矿物平衡结晶造成的 ;第 2期至第 3期 ,则可能是批式熔融的结果。包体的成因机制可能不止一种 :英安玢岩质包体和石英粗安玢岩质包体可能分别代表第 2期和第 3期脉动式侵入体的冷凝壳 ;石英正长岩包体则可能代表该侵入体演化到最后的产物 ;而石英闪长质和石英二长闪长质包体则可能为同源岩浆早期结晶的产物。  相似文献   

脂质体悬浮液结晶对其冻干品质影响的研究     

刘占杰  华泽钊  陶乐仁  李保国  陈建明  高申 《中国海洋大学学报(自然科学版)》2001,31(4):612-618

利用低温显微镜系统对含有不同浓度海藻糖的脂质体悬浮液 ,在不同的降温速率下的结晶现象进行显微研究 ,得出不同条件下的冰晶生长图像 ;并研究脂质体在不同的降温速率下的冻干过程 ,比较了不同降温速率下的冻干脂质体的外观和冻干脂质体复水后的囊泡粒径变化。结果表明 ,对于液体药品快速冻结后得到的冻干品质量优于慢速冻结。  相似文献   

罗非鱼源无乳链球菌(Streptococcus agalactiae)新型AI-2信号分子受体RbsB蛋白结晶生长研究   总被引：1，自引：0，他引：1  

樊博琳  潘丽霞  王忠良  黎源  简纪常  王蓓 《海洋与湖沼》2020,51(1):132-140

为了开展无乳链球菌(Streptococcus agalactiae)核糖结合蛋白(Ribose binding protein B,RbsB)结构功能的研究,本实验根据已知无乳链球菌ZQ0910全基因组序列设计相关引物。采用PCR方法扩增其RbsB基因,随后将该基因定向克隆到原核表达载体pGEX-6p-1中,在大肠杆菌BL21(DE3)感受态细胞中进行IPTG诱导表达;采用HRV 3C蛋白酶切除GST标签,分子筛分离获得RbsB蛋白;运用生物信息学软件对RbsB基因序列进行分析,并对RbsB蛋白二级和三级结构进行预测;采用NeXtal Tubes JCSG Core Suite结晶试剂盒筛选蛋白结晶条件。研究结果表明,该基因全长为969碱基,编码322个氨基酸,RbsB蛋白理论分子量33.9ku,等电点为9.41,二级结构中α螺旋结构所占比重最高,建立RbsB蛋白三维结构模式图;经IPTG诱导后表达的融合蛋白分子量为59ku,筛选RbsB蛋白的初始结晶条件为(0.2mol/L di-Potassium hydrogen phosphate,20%(W/V)PEG3350;1.5mol/L ammonium sulfate,25%(V/V)Glycerol),获得RbsB蛋白结晶体。本研究结果可为无乳链球菌核糖结合蛋白(RbsB)的功能解析提供实验及理论基础。  相似文献   

锆石中钛温度计在鲁西—苏北地区中生代侵入杂岩中的应用   总被引：4，自引：1，他引：3  

王清海  许文良  杨德彬  裴福萍 《岩石学报》2008,24(10):2331-2342

利用锆石中钛地质温度计对鲁西—苏北地区出露的8个中生代侵入杂岩的岩浆岩结晶温度进行计算,结果表明研究区斑井岩体的平均岩浆结晶温度为715~716℃,蔡山岩体为653℃,丰山岩体为697℃,夹沟岩体为711℃,利国岩体为737℃,铁铜沟岩体为766℃,上峪岩体为889℃,金岭岩体为770℃。岩体的岩浆结晶温度沿侵入杂岩带展布方向,从S到N依次增高,暗示其岩浆起源深度逐渐加大。岩浆结晶温度计算结果大致限定了各岩体的岩浆源区深度范围,结合锆石寄主岩石和寄主岩石中的深源包体的研究表明研究区中生代侵入杂岩体的母岩浆起源于上地幔和/或下地壳。  相似文献   

斑岩型Au矿床的包裹体标志:以黑龙江金厂金矿矿床为例   总被引：1，自引：0，他引：1  

张文淮  秦江艳  张德会  田璐  王丽丽  王永 《岩石学报》2008,24(9):2011-2016

通过对黑龙江金厂金矿床和河北蔡家营铅．锌．银矿床的对比研究,发现斑岩中包裹体的演化和成分特征反映了成矿流体的演化、成矿能力和矿床成因,对这类矿床的找矿评价也具有一定的参考价值。金厂金矿床中代表岩浆演化各个阶段的包裹体类型完全,且包裹体富含盐类、成矿物质和挥发组分,表明该区岩浆结晶分异作用完善、具有较强的成矿能力,能形成斑岩型矿床。而河北蔡家营铅-锌-银矿床,斑岩中只有硅酸盐玻璃包裹体和后期盐水溶液包裹体,反映该岩浆分异演化程度不高、分异作用极不完善。含盐度较高而且大量挥发组分的存在可能是后期热液活化萃取围岩成矿物质的重要因素。  相似文献   

宁镇中段燕山期中酸性侵入岩的稀土和微量元素地球化学研究   总被引：1，自引：0，他引：1  

张术根  阳杰华 《地质与勘探》2008,44(6):42-48

与铜多金属成矿相关的宁镇中段地区岩浆活动主要发生在燕山晚期,形成多个中酸性侵入岩体.文章在开展野外调查的基础上,主要从稀土元素和微量元素的实测资料,结合常量元素进行分析,探讨岩浆来源、结晶分异过程及铜多金属矿化特点.研究结果表明,宁镇中段岩浆为壳幔混合型,具有相同的演化趋势.并确定了6大岩体结晶分异程度的高低,提出了岩浆分异程度与矿化特点的关系.  相似文献   

Mafic and Felsic Magma Interaction in Granites: the Hercynian Karkonosze Pluton (Sudetes, Bohemian Massif)   总被引：12，自引：0，他引：12  

Slaby  E.; Martin  H. 《Journal of Petrology》2008,49(2):353-391

The Hercynian, post-collisional Karkonosze pluton contains severallithologies: equigranular and porphyritic granites, hybrid quartzdiorites and granodiorites, microgranular magmatic enclaves,and composite and lamprophyre dykes. Field relationships, mineralogyand major- and trace-element geochemistry show that: (1) theequigranular granite is differentiated and evolved by smalldegrees of fractional crystallization and that it is free ofcontamination by mafic magma; (2) all other components are affectedby mixing. The end-members of the mixing process were a porphyriticgranite and a mafic lamprophyre. The degree of mixing variedwidely depending on both place and time. All of the processesinvolved are assessed quantitatively with the following conclusions.Most of the pluton was affected by mixing, implying that hugevolumes (>75 km³) of mafic magma were available. This maficmagma probably supplied the additional heat necessary to initiatecrustal melting; part of this heat could have also been releasedas latent heat of crystallization. Only a very small part ofthe Karkonosze granite escaped interaction with mafic magma,specifically the equigranular granite and a subordinate partof the porphyritic granite. Minerals from these facies are compositionallyhomogeneous and/or normally zoned, which, together with geochemicalmodelling, indicates that they evolved by small degrees of fractionalcrystallization (<20%). Accessory minerals played an importantrole during magmatic differentiation and, thus, the fractionalcrystallization history is better recorded by trace rather thanby major elements. The interactions between mafic and felsicmagmas reflect their viscosity contrast. With increasing viscositycontrast, the magmatic relationships change from homogeneous,hybrid quartz diorites–granodiorites, to rounded magmaticenclaves, to composite dykes and finally to dykes with chilledmargins. These relationships indicate that injection of maficmagma into the granite took place over the whole crystallizationhistory. Consequently, a long-lived mafic source coexisted togetherwith the granite magma. Mafic magmas were derived either directlyfrom the mantle or via one or more crustal storage reservoirs.Compatible element abundances (e.g. Ni) show that the maficmagmas that interacted with the granite were progressively poorerin Ni in the order hybrid quartz diorites—granodiorites—enclaves—compositedykes. This indicates that the felsic and mafic magmas evolvedindependently, which, in the case of the Karkonosze granite,favours a deep-seated magma chamber rather than a continuousflux from mantle. Two magma sources (mantle and crust) coexisted,and melted almost contemporaneously; the two reservoirs evolvedindependently by fractional crystallization. However, maficmagma was continuously being intruded into the crystallizinggranite, with more or less complete mixing. Several lines ofevidence (e.g. magmatic flux structures, incorporation of granitefeldspars into mafic magma, feldspar zoning with fluctuatingtrace element patterns reflecting rapid changes in magma composition)indicate that, during its emplacement and crystallization, thegranite body was affected by strong internal movements. Thesewould favour more complete and efficient mixing. The systematicspatial–temporal association of lamprophyres with crustalmagmas is interpreted as indicating that their mantle sourceis a fertile peridotite, possibly enriched (metasomatized) byearlier subduction processes. KEY WORDS: Bohemian Massif; fractional crystallization; geochemical modelling; hybridization; Karkonosze  相似文献