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国家自然科学基金(50779067)

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两种不同粒径石英砂中非达西流动的实验研究被引量:9
2008年
在水力梯度较大的多孔介质中,水流往往呈现非达西现象。为分析不同粒径介质中非达西流发生的条件,本文对粒径为0.5~0.63mm和0.63~1.25mm两种石英砂,分别开展了一维均质土柱渗流实验,并应用水力阻抗和临界雷诺数判别渗流过程的非达西现象。研究结果表明,随着渗透流速增大,水力梯度和渗透流速之间的线性关系将发生偏移,且Forehheimer方程和Izbash方程均能够很好地描述非达西渗流阶段的水流运动过程。此时,水力梯度中以黏性力和惯性力消耗能量为主导的渗透流速线性项和非线性项均逐渐增大,同时非线性项占水力梯度的相对比重随流速的增大而不断增大。两种石英砂出现非达西流时,其非线性项占水力梯度的40%~50%,相应的临界雷诺数分别为22~27和52~104。非达西流出现的临界雷诺数随介质粒径的增大而增大。
李健黄冠华文章詹红兵
关键词:非达西渗流惯性力雷诺数
基于R-L定义的分数微分对流-弥散方程有限元解
分数微分对流-弥散方程(Fractional Advection-Dispersion Equation,FADE)是一种用于模拟多孔介质中溶质非费克迁移的新模型,然而由于分数微分定义的复杂性,仅能够获得特定的定解条件下...
黄权中黄冠华
关键词:有限元解
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承压含水层中抽水井附近非达西流的近似解析解被引量:11
2008年
本文将线性化方法和Laplace变换相结合研究承压含水层中单一抽水井附近的非达西流问题,得到了水位降深在抽水后期和抽水稳定阶段的近似解析解,并对抽水后期近似解析解的适用性进行了讨论。通过Stehfest数值Laplace逆变换得到了任意时刻任意位置水位降深的半解析解,并采用数值解对线性化方法所得到的近似解进行了验证。研究结果表明:在抽水后期,水位降深随着Izbash定律中的两个常数的增大而减小;在抽水后期,水位降深近似为时间的幂函数,在抽水稳定阶段,水位降深可以近似为距离的幂函数;在抽水后期,线性化方法所得到近似解与数值解吻合很好,而在抽水初期线性化方法则存在一定误差,会低估水位降深。
文章黄冠华李健詹红兵
关键词:非达西流LAPLACE变换线性化
二维强非均质含水层中渗透系数空间变异对污染物迁移的影响被引量:10
2010年
对于强非均质介质,渗透系数的对数lnK的空间分布可表征为其增量遵从Levy稳定分布的非平稳随机场。本文利用改进的连续随机增量方法生成含水层lnK增量具有Levy稳定分布的统计特征的随机场;采用Monte-Carlo数值实验方法并结合MODFLOW与MT3DMS分别模拟研究区域内水流和溶质迁移过程,分析渗透系数强变异性对污染物浓度空间矩及宏观弥散的影响。结果表明:Levy指数α决定lnK的空间分布形状,宽度参数C则影响lnK的取值范围;污染物的质心位置与C、α的大小无关;C越大、α越小,污染物形状越不规则,污染物的扩散范围越大;且α越小,污染物具有明显的拖尾现象;纵向宏观弥散度随时间呈幂函数递增趋势。
王开丽黄冠华
关键词:污染物迁移
基于R-L定义的分数微分对流-弥散方程有限元解
2009年
分数微分对流-弥散方程(Fractional Advection-Dispersion Equation,FADE)是一种用于模拟多孔介质中溶质非费克迁移的新模型,然而由于分数微分定义的复杂性,仅能够获得特定的定解条件下FADE模型解析解.推导出了基于Riemman-Liouville(R-L)定义的FADE模型有限元解,当分数阶微分算子α=2时,该解与传统对流-弥散方程的有限元解相同.与Meerschart和Tadjeran(2004)的有限差分解及FADE模型的解析解的模拟结果相比,本文的有限元解在很大程度上能降低数值弥散现象,但当空间离散节点数目较大时(N>100),都会产生质量不守恒的现象.通过模拟结果和相关文献的分析比较得出,FADE模型的这种质量不守恒问题是由于R-L定义本身所引起的,解决该问题需要对FADE模型的数值解做进一步的研究.
黄权中黄冠华
关键词:有限元解
基于Caputo定义的一维分数微分对流—弥散方程有限元解
<正>分数微分对流—弥散方程(fractional advection-dispersionequation,FADE)是一种用于模拟多孔介质中溶质非费克迁移的新模型,然而由于分数微分定义的复杂性,仅能够获得特定的定解条...
黄权中黄冠华
关键词:有限元解
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Effects of NaCl salt on mineralization and nitrification of a silt loam soil in the North China Plain
2009年
Low quality water has been widely used for irrigation all over the world due to water shortage.However,the use of low quality water may cause accumulation of salt in root-zone soils,resulting in poor nitrogen utilization by crops.The objective of the present study was to investigate the effects of sodium chloride(NaCl)on mineralization and nitrification of soils in the North China Plain(NCP).The experiments were conducted with laboratory incubators at 30℃.Five levels of NaCl-salt concentrations 0%,2%,3%,5%and 8%in the added solutions were used in the soil samples collected from NCP.The mineralization at NaCl-salt concentration lower than 3%was not significantly different from that of the control,whereas,significant inhibition of mineralization was found in the treatments with NaCl-salt concentration higher than 3%.The inhibition of mineralization was attributed to the retardation of nitrification in relatively high salt content because ammonification was not depressed by the added NaCl salt.The gas losses and nitrification were found decreasing with the increase in salinity.It was also found that the nitrification was more sensitive to salinity than the mineralization.Nitrification of soil samples was inhibited by 44.72%,57.87%,and 83.64%compared with the control after 38 days of incubation at NaCl-salt concentrations of 3%,5%and 8%,respectively.The time dependence of both the mineralization and nitrification can be fitted into a first-order kinetic model.The rate constant of mineralization and nitrification decreased exponentially with the salt content in the soils.The results of the present research may provide some scientific implications for the use of saline water or treated sewage water in the farming regions of the NCP.
Huang QuanzhongHuang Guanhua
关键词:MINERALIZATIONNITRIFICATIONSALINITY
承压含水层中大口径井附近非达西流的线性化近似解与数值解被引量:5
2009年
研究了承压含水层中大口径井附近的非达西流,采用线性化方法和Laplace变换得到了无量纲水位降深在拉氏空间下的解析解,采用Stehfest数值逆变换得到了实空间下的水位降深,同时得到了抽水后期和抽水稳定阶段水位降深的解析解。定义了反映非达西流动特征的水力传导度ξ,采用相应的数值解对线性化近似解进行了验证。研究结果表明,在抽水初期,不同ξ值所对应的井筒中的水位降深基本相同,并在双对数坐标下表现为一直线;在抽水后期,无论是在井筒还是含水层中,ξ越大,水位降深越小;在抽水稳定时期,水位降深随距离增大并呈幂函数递增,线性化方法在抽水初期会带来一定误差,而在抽水后期结果比较精确。
文章黄冠华李健李健
关键词:非达西流含水层水位降深LAPLACE
Estimation of the van Genuchten Soil Water Retention Properties from Soil Textural Data被引量:17
2010年
The van Genuchten (vG) function is often used to describe the soil water retention curve (SWRC) of unsaturated soils and fractured rock. The objective of this study was to develop a method to determine the vG model parameter m from the fractal dimension. We compared two approaches previously proposed by van Genuchten and Lenhard et al. for estimating m from the pore size distribution index of the Brooks and Corey (BC) model. In both approaches we used a relationship between the pore size distribution index of the BC model and the fractal dimension of the SWRC. A dataset containing 75 samples from the UNSODA unsaturated soil hydraulic database was used to evaluate the two approaches. The statistical parameters showed that the approach by Lenhard et al. provided better estimates of the parameter m. Another dataset containing 72 samples from the literature was used to validate Lenhard's approach in which the SWRC fractal dimension was estimated from the clay content. The estimated SWRC of the second dataset was compared with those obtained with the Rosetta model using sand, silt, and clay contents. Root mean square error values of the proposed fractal approach and Rosetta were 0.081 and 0.136, respectively, indicating that the proposed fractal approach performed better than the Rosetta model.
B. GHANBARIAN-ALAVIJEHA. LIAGHATHUANG Guan-HuaM. Th. VAN GENUCHTEN
关键词:土壤质地VAN数据估算持水性能非饱和土壤
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