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   

Non‐equilibrium concepts lead to a unified explanation of the formation of chondrules and chondrites     

Milton BLANDER  Arthur D. PELTON  In‐Ho JUNG  Richard WEBER 《Meteoritics & planetary science》2004,39(12):1897-1910

Abstract— Calculations of the formation of seven types of chondrules in Semarkona from a gas of solar composition were performed with the FACT computer program to predict the chemistries of oxides (including silicates), developed by the authors and their colleagues. The constrained equilibrium theory was used in the calculations with two nucleation constraints suggested by nucleation theory. The first constraint was the blocking of Fe and other metal gaseous atoms from condensing to form solids or liquids because of very high surface free energies and high surface tensions of the solid and liquid metals, respectively. The second constraint was the blocking of the condensation of solids and the formation of metastable liquid oxides (including silicates) well below their liquidus temperatures. Our laboratory experiments suggested subcooling of type IIA chondrule compositions of 400 degrees or more below the liquidus temperature. The blocking of iron leads to a supersaturation of Fe atoms, so that the partial pressure of Fe (p_Fe) is larger than the partial pressure at equilibrium (p_Fe(eq)). The supersaturation ratio S = p_Fe/p_Fe(eq) becomes larger than 1 and increases rapidly with a decrease in temperature. This drives the reaction Fe + H₂O ? H₂ + FeO to the right. With S = 100, the activity of FeO in the liquid droplet is 100 times as large as the value at equilibrium. The FeO activities are a function of temperature and provide relative average temperatures of the crystallization of chondrules. Our calculations for the LL3.0 chondrite Semarkona and our study of some non‐equilibrium effects lead to accurate representations of the compositions of chondrules of types IA, IAB, IB, IIA, IIAB, IIB, and CC. Our concepts readily explain both the variety of FeO concentrations in the different chondrule types and the entire process of chondrule formation. Our theory is unified and could possibly explain the formation of chondrules in all chondritic meteorites as well as provide a simple explanation for the complex chemistries of chondrites, and especially for type 3 chondrites.  相似文献   

穆珠朗玛峰地区土壤中稀土元素的含量和分布     

章申  孙景信 《地理研究》1990,9(2):58-66

本文论述了珠穆朗玛峯地区土壤中稀土元素的含量,以及它们在土壤中的分布模式,并发现土壤中稀土元素的含量水平在很大程度上受土壤母质的制约。  相似文献   

East Asian monsoon variation and climate changes in Jeju Island, Korea, during the latest Pleistocene to early Holocene     

Seung Hyoun Lee  Yong Il Lee  Ho Il Yoon 《Quaternary Research》2008,70(2):265-274

A 4.96-m-long sediment core from the Hanon paleo-maar in Jeju Island, Korea was studied to investigate the paleoclimatic change and East Asian monsoon variations during the latest Pleistocene to early Holocene (23,000-9000 cal yr BP). High-resolution TOC content, magnetic susceptibility, and major element composition data indicate that Jeju Island experienced the coldest climate around 18,000 cal yr BP, which corresponds to the last glacial maximum (LGM). Further, these multi-proxy data show an abrupt shift in climatic regime from cold and arid to warm and humid conditions at around 14,000 cal yr BP, which represents the commencement of the last major deglaciation. After the last major deglaciation, the TOC content decreased from 13,300 to 12,000 cal yr BP and from 11,500 to 9800 cal yr BP, thereby reflecting the weakening of the summer monsoon. The LGM in Jeju Island occurred later in comparison with the Chinese Loess Plateau. Such a disparity in climatic change events between central China and Jeju Island appears to be caused by the asynchrony between the coldest temperature event and the minimum precipitation event in central China and by the buffering effect of the Pacific Ocean.  相似文献   

Glaciomarine sedimentation and palaeo-glacial setting of Maxwell Bay and its tributary embayment, Marian Cove, South Shetland Islands, West Antarctica     

Ho Il Yoon  Myung Woo Han  Byong-Kwon Park  Jae-Kyung Oh  Soon-Keun Chang 《Marine Geology》1997,140(3-4):265-282

High-resolution (3.5 kHz and multi-channel) seismic profiles and piston cores were collected from Maxwell Bay and its tributary embayment, Marian Cove, in the South Shetland Islands, Antarctica, during the Korea Antarctic Research Program (1992/93 and 1995/96) to elucidate the glaciomarine sedimentation processes and recent glacial history of the area. Seismic data from Maxwell Bay reveal a rugged bay margin and flattened basin floor covered with well-stratified hemipelagic muds. On the base-of-slope, acoustically transparent debris flows occur, indicating downslope resedimentation of glaciomarine sediments. Despite the subpolar and ice-proximal settings of Marian Cove, the seafloor is highly rugged with a thin sediment drape, suggesting that much of the area has been recently eroded by glaciers. Sediment cores from the cove penetrated three distinct fining-upward lithofacies: (1) basal till in the lower part of the core, accumulated just seaward of the grounding line of the tidewater glacier; (2) interlaminated sand and mud in the middle part, deposited in ice-proximal zone by a combination of episodic subglacial meltwater inflow and iceberg dumping; and (3) pebbly mud in the upper part, deposited in ice-distal zone by both surface meltwater plume and ice-rafting from the glacier front. A reconstruction of the glacial history of these areas since the late glacial maximum shows an ice sheet filling Maxwell Bay in late Wisconsin time and grounding of the tidewater glacier in Marian Cove until about 1300 yr BP.  相似文献   

海洋古生产力重建初探──以南沙群岛海区NS90-103柱样为例     

吴时国  涂霞  罗又郎 《海洋科学》1996,20(2):47-51

以南沙海区ＮＳ９０－１０３柱样为例，利用各种古生产力指标物，如有机碳含量，有孔虫壳和有孔虫碳同位素，重建了２０００００ａ以来古生产力变化，并对结果予以讨论。  相似文献   

黄海的风、潮混合特征及其对冷水团边界的影响     

赵保仁  曹德明  潘海  涂登志 《海洋科学集刊》1994,(35):1-10

本文第一作者早在1985年就提出,潮混合效应控制着夏季黄海冷水团的边界及海面冷水分布(赵保仁,1985)。1987年又进一步通过水文调査资料和卫星图片给出了黄海周围的浅水陆架锋(或称潮汐锋)的分布及强锋区的跨锋断面中的温度、盐度和坏流结构特征,并指出夏季的黄海沿岸流在性质上属沿锋面运动的强流(赵保仁,1987a,b),而后又对黄海西部的陆架锋进行了一次专门调査(赵保仁等,1991)。此外,他还指出黄海的强温跃层的形成和转移现象也与潮混合现象密切相关(赵保仁,1989)。因此,研究潮混合现象对阐明发生在黄海的多水文物理现象都是至关重要的。 为深入了解黄海的潮混合特征,作者把渤海、黄海和东海作为一个整体完成了一次精度较高的潮汐、溯流数值计算,在潮汐、潮流的分布方面,揭示了前人尚未阐明的一些特征。本文根据这些数值结果,计算了近最大潮流流速和层化参数,阐明了渤海、黄海和东海的潮混合特征及其对降温期黄海冷水团分布变化的影响。此外,还用 Sim pson等人(1981)的能量模式计算了南黄海西部的风、潮混合效率。  相似文献   

苏、皖石炭系石灰岩的胶结作用     

王琦  涂仁亮  文丽  吴光华  洪三九  王广运 《中国海洋大学学报(自然科学版)》1993,(4)

分析了苏、皖石炭系石灰岩的胶结作用。查明了胶结物的晶形、碳、氧同位素成分、发光特征及包体均一化温度。指出胶结作用主要发生在大气淡水补给较充分的含水层内,这与本区属海退成岩序列有关。  相似文献   

黄河口及其邻近海域大型底栖动物的初步研究 (一)生物量     

张志南  图立红  于子山 《中国海洋大学学报(自然科学版)》1990,(1)

1985年5-6月对黄河口及其邻近海域的27个站进行了大型底栖动物的首航定量调查。调查海域平均生物量为35.28g/m~2,平均密度为557inds/m~2。棘皮动物占总生物量的47.2％,软体动物占34.2％,多毛类和甲壳类分别占7.5％和6.2％。莱州湾的生物量为调查海域平均生物量的3.5倍。河口输入的营养盐在与高密度低营养盐海水混合过程中,逐渐下沉在莱州湾北部,这是控制该海域高生产力的主要因素。  相似文献   

Three‐dimensional simulation of tsunami run‐up around conical island     

Byung Ho Choi  Dong Chule Kim  Efim Pelinovsky  Seung Buhm Woo 《Coastal Engineering》2007

At the circular Babi Island in the Flores tsunami (1992) and pear shaped island in the Okushiri event (1993), unexpectedly large tsunami run‐up heights in the lee of conic islands were observed. The flume and basin physical model studies were conducted in the Coastal Hydraulic Laboratory, Engineering Research and Development Center, U.S. Army Corps of Engineers to provide a better understanding of the physical phenomena and verify numerical models used in predicting tsunami wave run‐up on beaches, islands, and vertical walls. Reasonably accurate comparison of run‐up height of solitary waves on a circular island has been obtained between laboratory experimental results and two‐dimensional computation model results. In this study we apply three‐dimensional RANS model to simulate wave run‐up on conical island. In the run‐up computation we obtain that 3D calculations are in very good comparison with laboratory and 2D numerical results. A close examination of the three‐dimensional velocity distribution around conical island to compare with depth‐integrated model is performed. It is shown that the velocity distribution along the vertical coordinate is not uniform: and velocity field is weaker in the bottom layer and higher on the sea surface. The maximum difference (about 40%) appears at the time when solitary wave reached the circular island.  相似文献