Time–space fractional governing equations of transient groundwater flow in confined aquifers: Numerical investigation          下载免费PDF全文

Tongbi Tu  Ali Ercan  M. Levent Kavvas 《水文研究》2018,32(10):1406-1419

In order to model non‐Fickian transport behaviour in groundwater aquifers, various forms of the time–space fractional advection–dispersion equation have been developed and used by several researchers in the last decade. The solute transport in groundwater aquifers in fractional time–space takes place by means of an underlying groundwater flow field. However, the governing equations for such groundwater flow in fractional time–space are yet to be developed in a comprehensive framework. In this study, a finite difference numerical scheme based on Caputo fractional derivative is proposed to investigate the properties of a newly developed time–space fractional governing equations of transient groundwater flow in confined aquifers in terms of the time–space fractional mass conservation equation and the time–space fractional water flux equation. Here, we apply these time–space fractional governing equations numerically to transient groundwater flow in a confined aquifer for different boundary conditions to explore their behaviour in modelling groundwater flow in fractional time–space. The numerical results demonstrate that the proposed time–space fractional governing equation for groundwater flow in confined aquifers may provide a new perspective on modelling groundwater flow and on interpreting the dynamics of groundwater level fluctuations. Additionally, the numerical results may imply that the newly derived fractional groundwater governing equation may help explain the observed heavy‐tailed solute transport behaviour in groundwater flow by incorporating nonlocal or long‐range dependence of the underlying groundwater flow field.  相似文献   

Geochemistry of S-type granitic rocks from the reversely zoned Castelo Branco pluton (central Portugal)     

I.M.H.R. Antunes  A.M.R. Neiva  M.M.V.G. Silva  F. Corfu 《Lithos》2008,103(3-4):445-465

The zoned pluton from Castelo Branco consists of Variscan peraluminous S-type granitic rocks. A muscovite>biotite granite in the pluton's core is surrounded successively by biotite>muscovite granodiorite, porphyritic biotite>muscovite granodiorite grading to biotite=muscovite granite, and finally by muscovite>biotite granite. ID-TIMS U–Pb ages for zircon and monazite indicate that all phases of the pluton formed at 310 ± 1 Ma. Whole-rock analyses show slight variation in ⁸⁷Sr/⁸⁶Sr_310 Ma between 0.708 and 0.712, Nd_310 Ma values between − 1 and − 4 and δ¹⁸O values between 12.2 and 13.6. These geological, mineralogical, geochemical and isotopic data indicate a crustal origin of the suite, probably from partial melting of heterogeneous Early Paleozoic pelitic country rock. In detail there is evidence for derivation from different sources, but also fractional crystallization linking some of internal plutonic phases. Least-squares analysis of major elements and modelling of trace elements indicate that the porphyritic granodiorite and biotite=muscovite granite were derived from the granodiorite magma by fractional crystallization of plagioclase, quartz, biotite and ilmenite. By contrast variation diagrams of major and trace elements in biotite and muscovite, the behaviours of Ba in microcline and whole-rock δ¹⁸O, the REE patterns of rocks and isotopic data indicate that both muscovite-dominant granites were probably originated by two distinct pulses of granite magma.  相似文献   

Experimental constraints on the effects of pressure and H2O on the fractional crystallization of high-Mg island arc basalt     

Morihisa Hamada  Toshitsugu Fujii 《Contributions to Mineralogy and Petrology》2008,155(6):767-790

H₂O-undersaturated melting experiments of synthesized basalt (SiO₂ = 50.7 wt.%, MgO = 8.3 wt.%, Mg# = 60) were conducted at fO₂ corresponding to NNO+1 and NNO−1 to clarify the effects of pressure (2–7 kbar) and H₂O on fractional crystallization in island arcs. H₂O content was ranged from nominally anhydrous to 4.4 wt.%. Differentiation trends, namely the liquid lines of descent, change sensitively according to pressure-H₂O relations. Tholeiitic differentiation trends are reproduced with H₂O ≤ ∼2 wt.% in primary magma. With such quantities of H₂O, fractional crystallization is controlled by olivine + plagioclase at 2 kbar. Increasing the pressure from 2 to ≥4 kbar induces early crystallization of orthopyroxene instead of olivine and therefore SiO₂ enrichment in the residual melts is suppressed. Increasing H₂O (≥ ∼2 wt.% in primary magma) stabilizes clinopyroxene relative to orthopyroxene and/or magnetite. Although the phase relations and proportions strongly depend on fO₂ and H₂O content, differentiation trends are always calc-alkaline.  相似文献   

新疆北部晚古生代以来中基性岩脉的年代学、岩石学、地球化学研究   总被引：13，自引：7，他引：6  

徐芹芹  季建清  韩宝福  朱美妃  储著银  周晶 《岩石学报》2008,24(5)

新疆北部中基性岩脉K-Ar表观年龄为187～271Ma,岩性以辉长、辉绿岩以及闪长、闪长玢岩为主,属于亚碱性系列.主量元素、稀土元素以及微量元素分析表明,中基性岩脉经历了源区地壳物质的混合以及侵位过程中的分离结晶作用,并在区域分布特点上受部分熔融程度的影响,而且由于结晶分异和部分熔融的不同,还出现了中基性岩脉系列的成分变异.排除上述岩浆作用的干扰,有证据显示岩脉起源于亏损地幔,由于Nd同位素模式年龄tDM集中在363～769Ma,反映源区是一个古生代时期的新生岩石圈地幔,该地幔源区属于大洋岩石圈地幔.新疆北部广泛出露的中基性岩脉在时间和空间上具有多样性,但是在产状、岩性组合和同位素特征上具有相似的特点,指示研究区在古生代以来具有一个相对统一和完整的源区,推测这个源区与北疆地区古生代以来长期存在的残余洋盆及其相关岩石圈有关.  相似文献   

河北大庙Fe-Ti-P矿床中铁钛磷灰岩的成因: 来自磷灰石的证据   总被引：4，自引：3，他引：1  

陈伟  赵太平  魏庆国  徐勇航 《岩石学报》2008,24(10):2301-2312

铁钛磷灰岩仅由磷灰石和铁钛氧化物组成,常赋存于岩体型斜长岩中,成因上有不混溶和分异堆晶两种不同的认识。本文从磷灰石角度讨论河北大庙铁钛磷灰岩的形成机制。大庙铁钛磷灰岩常产出于浸染状Fe—P矿体内部,有时与块状铁矿石交互出现形成韵律条带状矿石,为岩浆结晶分异的产物。铁钛磷灰岩中磷灰石呈浑圆状,含量变化于15％-34％。铁钛磷灰岩的全岩和磷灰石微量元素分析显示,磷灰石比全岩相对富集稀土元素达2．96—6．93倍,但两者的配分型式基本平行。质量平衡计算（Rocl／F）的结果表明,铁钛磷灰岩中几乎100％的稀土元素赋存于磷灰石中。综合上述特征,反映磷灰石为结晶分离的堆晶矿物,铁钛磷灰岩应为堆晶成因。因为如果磷灰石结晶于铁钛磷灰岩不混溶熔体,它的稀土元素分配系数也不会变化达2．3倍（变化于2．96—6．93）。计算出该磷灰石的母岩浆稀土元素组成,与浸染状Fe．P矿石最为相似,结合它与铁钛磷灰岩之间紧密共生的野外特征以及相似的全岩及磷灰石稀土元素配分型式,认为磷灰石最可能是在浸染状Fe．P矿浆中,经结晶分离作用形成铁钛磷灰岩。  相似文献   

PLS-ANN分析血浆自体荧光光谱的二阶导数光谱识别胃癌   总被引：1，自引：0，他引：1  

马君  朱玉平  毛伟征  李颖  史晓凤  郑荣儿  孟继武 《中国海洋大学学报(自然科学版)》2006,36(3):505-508

探讨偏最小二乘法结合神经网络法(简称PLS-ANN)分析血浆自体荧光光谱的二阶导数光谱识别胃癌的优势,对20例胃癌病人和23例健康人血浆进行以405nm为激发光的自体荧光光谱检测,采用PLS-ANN法分别对血浆自体荧光光谱和二阶导数光谱进行判别分析。PLS-ANN分析血浆的自体荧光光谱法诊断胃癌的灵敏度为75%,特异度为83%,准确率为79%,PLS-ANN分析血浆的二阶导数光谱法诊断胃癌的灵敏度为90%,特异度为96%,准确率为93%。结果表明PLS-ANN分析血浆的二阶导数光谱法识别胃癌,优于PLS-ANN分析血浆的自体荧光光谱法,有望成为快速识别胃癌的较理想方法。  相似文献   

海浪日最大波高序列的一种标度性质   总被引：1，自引：0，他引：1  

尉华  沈正 《海洋湖沼通报》1994,(4):1-8

应用重标度分析方法研究小麦岛海洋观测站１９６１－１９８０年二十年海浪日最大波高序列时发现，该序列并不是相互独立的，而是具有记忆性和持久性，详细的论证表明分式布朗运动模型是描述海浪日最大波高序列的一个较好的模型，同时，应用分式布朗运动模型我们找到了存在于海浪日最大波高序列中的一种标度性质－累积离差（ｔ）的统计自仿射性。  相似文献   

重力异常垂向一阶导数的一种简便算法   总被引：1，自引：0，他引：1  

刘保华  张维冈  孟恩 《中国海洋大学学报(自然科学版)》1995,(2)

利用拉格朗日插值导出了重力异常垂向一阶导数的计算公式，给出了地面以及地面之上不同高度的求导系数。该公式可以计算地面上的重力垂向一阶导数，还可以直接计算地面之上任意高度上的垂向一阶导数。鉴于该公式除系数不同外，与上延公式完全相同，因此，程序设计尤为简单。使用本公式对模型数据和实际资料进行了处理，证明了本算法的实用性。  相似文献   

胶东海阳所超镁铁岩中强亲铁元素的地球化学特征及其构造环境探讨     

马雪盈  刘庆  闫方超  何苗  张宏远 《岩石学报》2021,37(8):2562-2578

强亲铁元素与亲石元素具有不同的地球化学行为，因此能够从不同的角度为造山带中超镁铁岩的成因及演化提供重要信息。位于苏鲁造山带东北端的胶东海阳所超镁铁岩主要由橄榄岩和辉石岩组成，它们常以团块状赋存于花岗质片麻岩中。虽然前人对这些超镁铁岩已经开展大量岩石学研究，但关于其成因及构造属性仍存在较大争议。本文开展了海阳所超镁铁岩的全岩主微量元素、强亲铁元素及Re-Os同位素的分析工作，结果显示蛇纹石化橄榄岩具有较高的MgO和Fe₂O₃^T含量，较低的Al₂O₃、TiO₂和CaO含量，明显富集流体迁移元素（U、Pb），亏损高场强元素（Zr、Hf），强亲铁元素没有发生明显分异，但Ru显示正异常，表明海阳所蛇纹石化橄榄岩是经历了低-中等程度部分熔融及熔/流体交代作用影响的残余地幔橄榄岩。海阳所辉石岩的主量元素表现出明显的结晶分异特征，稀土元素较原始地幔富集，铂族元素（PGEs）含量较低且发生了明显的分异，表明辉石岩的地幔源区经历过高程度的部分熔融和硫化物的分离。海阳所蛇纹石化橄榄岩的Os同位素地球化学特征表现出大洋亲和性，与辉石岩不具有熔体-残留体的关系。由于该地区发育较深层次的韧性剪切带，蛇纹石化橄榄岩中的橄榄石与辉石表现出韧性变形的特征，同时有辉石岩侵入到橄榄岩的现象，表明该地区的蛇纹石化地幔橄榄岩与辉石岩既不同时，也不同源，因此，暗示了该套岩石组合可能形成于大洋核杂岩（OCC）与洋脊型蛇绿岩（MOR）堆晶岩交互发育环境。  相似文献   

Geochemistry and petrogenesis of the post-orogenic bimodal dyke swarms in NW Sinai, Egypt: constraints on the magmatic–tectonic processes during the late Precambrian     

M.M El-Sayed   《Chemie der Erde / Geochemistry》2006,66(2):129-141

The study area in the northwest Sinai represents one of the most significant regions in the Egyptian basement intensely invaded by post-orogenic calc-alkaline dyke swarms. Two post-orogenic dyke swarms have been recognized in NW Sinai namely: (1) mafic dykes of basalt, basaltic andesite and andesite composition and (2) felsic dykes of dacite, rhyodacite and rhyolite composition. These basaltic to rhyolitic dykes intruded contemporaneously and shortly after the intrusion of the post-orogenic leucogranite. The mafic and felsic dykes are enriched in incompatible elements, especially in the large ion lithophile elements (e.g. K, Rb, Ba) and depleted in high field strength elements with negative P, Ti and Nb anomalies. Major and trace element geochemistry indicates that investigated mafic and felsic magma types are not related via fractional crystallization. The protoliths of the mafic and felsic dykes appear to have evolved from different parental magmas. The incompatible trace element patterns favour a derivation of the mafic dykes from melting of a garnet peridotite source followed by fractional crystallization of olivine, clinopyroxene amphibole and zircon. The felsic dykes, on the other hand, could be generated by melting of garnet-free source modified subsequently by fractional crystallization of plagioclase, apatite and titanomagnetite. This implies variable source characteristics at the end of the Pan-African in the NW Sinai.The mafic and felsic dykes can be related to an intracontinental setting and that this was accompanied by a chemical evolution of the subcontinental lithosphere. Magma generation and ascent in the area was favoured by extensional movements, which is already known from other areas in NE Africa.  相似文献