An accurate time integration method for simplified overland flow models   总被引：1，自引：0，他引：1  

G. Gottardi  M. Venutelli 《Advances in water resources》2008

An accurate time integration method for the diffusion-wave and kinematic-wave approximated models for the overland flow is proposed. The discretization of the first- and second-order spatial derivatives in the basic equation is obtained by using the second-order Lax–Wendroff and the three-point centred finite difference schemes, respectively. For the solution in time, the system of ordinary differential equations, obtained by the linearization of the celerity and of the hydraulic diffusivity by Taylor series expansions, is integrated analytically. The stability and the numerical dissipation and dispersion are investigated by the Fourier analysis. A proper Courant number, and the corresponding time step for the numerical simulations can be established. In addition, the proposed diffusion-wave and kinematic-wave models are straightforwardly extended to the two-dimensional flow. Test cases for both one- and two-dimensional problems, compare the solutions of the diffusion-wave and kinematic-wave models with analytical solutions, with experimental results and with numerical solutions obtained by the Saint–Venant equations. These simulations show that the proposed numerical–analytical models accurately predict the overland flow for several situations, in particular for unsteady rainfall rate and for spatial variations of the surface roughness.  相似文献   

The landscape Reynolds number and other dimensionless measures of Earth surface processes     

P.K. Haff   《Geomorphology》2007,91(3-4):178

An analogy between turbulent fluid systems and landscape drainage systems [Parker, G., Haff, P.K., Murray, A.B., 2001, EOS, Transactions of the American Geophysical Union, 82, pp. F564.] is suggested by the observation that transport in both systems can be approximated by diffusion with size-proportional effective diffusivities, with a cross-over at small scales to Fickian diffusion. The “landscape” Reynolds number of a typical fluvial landscape is estimated to be of order Re_L 10⁶ to 10⁹, these large values reflecting the relative efficiency of fluvial transport compared to creep. Re_L is the ratio of the large-scale effective diffusivity of rivers to the small-scale diffusivity of creep processes on hillslopes. The spatial dependence of the effective diffusivity produces rivers with logarithmic long-profiles, similar to the profiles of many rivers in nature, and analogous to the logarithmic dependence of mean fluid velocity on distance from a wall in turbulent flow. The landscape example suggests how other generalized “Reynolds numbers” can be constructed as ratios of large-scale to small-scale diffusivities to measure the efficiencies of complex processes that affect the surface. As an example, the global airline transportation network is estimated to have an efficacy relative to that of direct human mechanisms for transport of similar goods and materials of about 10⁸ as measured by a corresponding “technology” Reynolds number. The appearance of such large dimensionless numbers, pertaining to the consequences of human invention and design, reflects the emergence of the technosphere as an increasingly efficient overlay on the historical domain of biology and surficial geology.  相似文献   

磷灰石U-Th/He法——一种低温热年代计          下载免费PDF全文

郑德文  王非  张培震 《地震地质》2000,22(4):427-435

回顾了U Th/He测年方法的发展过程 ,简要介绍了该方法测年的原理、分析流程和长α -粒子停止距离校正。然后介绍了近年来在磷灰石He扩散性研究及数值模拟方面取得的一些成果和磷灰石U Th/He热年代计在研究古地貌、岩体构造抬升、盆地热历史演化方面的应用。最后分析了U Th/He测年方法的优、缺点 ,说明这一方法既存在广阔的应用前景 ,又有待于进一步完善、提高。  相似文献   

Propagation of muon induced Cherenkov photons through a diffusive medium     

Rodín Porrata   《Astroparticle Physics》2005,23(6):566-571

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应用三轴风速仪研究成都平原大气扩散参数及结果分析     

靳小兵  陈永林  曾涛 《成都信息工程学院学报》1992,(1)

本文介绍了应用三轴风速仪测试大气扩散参数的方法和原理,计算了成都平原大气扩散参数,并对其结果进行了分析,提出了本地区应用三轴风速仪可以代替平衡球的依据,并对三轴法的优缺点进行了评价。指出了以往将静风与有风时处理混为一起的不合理性。  相似文献   

二维地质体的瞬变电磁场响应特征   总被引：6，自引：1，他引：6       下载免费PDF全文

陈明生  闫述  石显新  解海军 《地震地质》2001,23(2):252-256

直接从时间域出发 ,应用时域有限差分方法 (FDTD)分析地下和地面的瞬变响应。由于二维情况便于图形表示 ,采取了线源二维地电模型。通过对二层均匀地电结构和含二维低阻体时地面垂直感生电动势曲线的计算 ,说明瞬变场响应有滞后现象 ,即异常地质体一旦引起瞬变响应 ,就会往后延时 ,并使响应延续较长时间。在实际的工程勘察中 ,曾用 3～ 5ms以后的延迟时间探测过较浅的异常体 ,如 2 0m至 150m深度范围内的地下老窑采空区 ,并取得了较好的探测效果 ,上述数字模拟结果为以往的实践提供了理论依据  相似文献   

THEORETICAL ANALYSIS ON THE VERTICAL DISTRIBUTION OF PARTICLE CONCENTRATION     

Guangqian WANGand Xudong FU Key Lab for Water  Sediment Science of Education Ministry  Tsinghua University  Beijing  China. 《国际泥沙研究》2001,16(2)

1 wrRonvCTIoxIn steady solid-liquid tuIbulen flows, tWo twcal pattems of particle concentration distribuhon, namelypattem I and pattem II, have been found by man investigatOI'S (e.g. Bouvard & Petkovic l985, Wang &Ni l990), as shown in Fig.l. Genend sPeaking, pattem II is conunn, and most inveshgators fOcused theirefforts on this pattem. Vedous theories such as the diffesion theory, the ndxtUre theory, the enery theory,the sindlarity theory and the stochashc theory among others have co…  相似文献   

日食电离层效应   总被引：7，自引：4，他引：7       下载免费PDF全文

何友文  龙其利 《地球物理学报》1990,33(4):373-383

本文分析了1987年9月23日日环食期间,我国14个电离层站和1988年3月18日日全食期间两个站的垂测仪和偏振仪记录,并综合50年代以来历次日食电离层效应的观测结果,证实:1.E层和F₁层光食效应明显,F₂层动力学效应显著;2.f₀F₂存在日食日值大于、小于或等于控制日值三种典型情况;3.TEC食变曲线有凹陷和不凹陷两种典型情况,甚至出现日食日值大于控制日值的异常现象. 本文对F₂层和外电离层的动力学特征作了定性讨论,认为:空间等离子体温度急剧下降和沿场扩散是F₂层和外电离层日食效应的最主要因素;而磁赤道上空等离子体的沿场扩散、“喷泉”效应,热层风和全（环）食带方位是影响位于磁赤道异常区各电离层站日食电离层效应的主要因素.  相似文献   

pH effect on Re(VII) and Se(IV) diffusion in compacted GMZ bentonite     

《Applied Geochemistry》2016

In a high-level radioactive waste (HLW) repository, pH has an impact on the solubility, migration, and adsorption of radionuclides. Thus, understanding the effects of pH on the diffusion of radionuclides is essential for long-term disposal of HLW. In this work, the diffusion behaviors of Re(VII) and Se(IV) in compacted Gaomiaozi (GMZ) bentonite at different pH have been investigated by a through-diffusion method. The effective diffusion coefficient, i.e., D_e values of Re(VII) and Se(IV) were in the range of (1.0–2.4) × 10⁻¹¹ m²/s at pH 3.0–10.0 and (0.38–2.3) × 10⁻¹¹ m²/s at pH 3.0–9.0. In the case of Re(VII), the D_e values remained almost unchanged probably because ReO₄⁻ was the dominant species in the pH range of 3.0–10.0. In the case of Se(IV), whose predominant species were HSeO₃⁻ at pH < 9.0 and SeO₃²⁻ at pH ≥ 9.0, the D_e values decreased by a factor of 3–6 at pH 9.0, i.e., D_e (pH < 9.0)/D_e (pH 9.0) ≈ 3–6, implying that the species with a higher valence state had a stronger anion exclusion effect. The decrease in D_e values can be explained by the diffusion species of Se(IV). Additionally, the rock capacity factor α decreased with the increase of pH. HSeO₃⁻ was absorbed on GMZ bentonite with distribution coefficient K_d values in the range of (1.0–2.5) × 10⁻⁴ m³/kg at pH ≤ 8.0, whereas SeO₃²⁻ was negligibly sorbed at pH > 8.0.  相似文献   

南沙群岛海域泻湖及礁外沉积物间隙水中的-2价硫   总被引：1，自引：1，他引：1  

宋金明  李鹏程 《海洋与湖沼》1996,27(6):590-597

于1993年5月和1994年3－4月通过调查，用硫离子选择电极法研究南沙群岛海域泻湖及礁外沉积物间隙水中的∑S（－Ⅱ）及SO~(2-)_4，探讨泻湖内及礁外间隙水中-2价硫的分布特征，沉积物-海水界面间硫的扩散转移通量和-2价硫的热力学平衡控制体系。结果表明，该海区∑S（－Ⅱ）含量，泻湖间隙水中远比礁外高，人为活动剧烈的礁内泻湖高于人为活动少的泻湖，离礁近的礁外间隙水中的高于远离礁的间隙水中的。在礁外沉积物间隙水中-2价硫含量呈垂向增加的趋势，沉积物-海水界面间HS-，S2-均是从沉积物向上覆海水扩散，SO反之。礁内泻湖的扩散量远高于礁外的，HS-扩散总平均为61．34μmol／（m2·d），SO为-0．41mmol／（m2·d）；礁外泻湖的HS-总平均为14．96μmol／（m2·d），SO为-0．35mmol／（m2·d）。该海区的-2价硫主要由S＋2e→S2-氧化还原电对控制，平衡时Eh计算值与实测值接近，单质疏作为亚稳态可存在于沉积物中，并可与溶解铁继续形成自生黄铁矿（FeS2）沉淀。  相似文献