| 一维土柱试验的数学模型 |
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| 引用本文： | 李功胜,姚德,秦惠增,杨富贵,刘洪亮,王孝勤.一维土柱试验的数学模型[J].山东理工大学学报,2007,21(3):1-6. |
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| 作者姓名： | 李功胜 姚德 秦惠增 杨富贵 刘洪亮 王孝勤 |
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| 作者单位： | 山东理工大学数学学院应用数学所 山东淄博255049(李功胜，秦惠增)，山东理工大学环境科学技术研究所 山东淄博255049(姚德)，山东理工大学材料科学与工程学院 山东淄博255049(杨富贵)，山东省淄博地质环境监测站 山东淄博255091(刘洪亮)，淄博市水资源管理办公室 山东淄博255032(王孝勤) |
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| 摘 要： | 主要讨论了一维土柱试验模型及其反问题.考虑到溶质在土壤及地下水中迁移的非线性行为,认为通常模型中的阻滞因子应改为与溶质浓度相关的泛函,而零阶产出项应为与时间、空间及溶质浓度相关的非线性项,进而提出了一类新的描述一维土柱试验的非线性数学模型.对于模型参数的识别问题,给出了两类典型的确定阻滞因子与源(汇)项系数的土柱试验反问题.最后,以淄博张店孝妇河-张冉原状土柱试验为例,应用所建立的数学模型对试验结果做了初步的阐释.
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| 关 键 词： | 一维土柱试验 数学模型 非线性吸附 非线性源(汇)项作用 反问题 |
| 文章编号： | 1672-6197（2007）05-000106 |
| 修稿时间： | 2006-10-09 |
One-dimensional mathematical model for soil-column experiment |
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| LI Gong-sheng,YAO De,QIN Hui-zeng,YANG Fu-gui,LIU Hong-liang,WANG Xiao-qin.One-dimensional mathematical model for soil-column experiment[J].Journal of Shandong University of Technology:Science and Technology,2007,21(3):1-6. |
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| Authors: | LI Gong-sheng YAO De QIN Hui-zeng YANG Fu-gui LIU Hong-liang WANG Xiao-qin |
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| Institution: | 1. Institute of Applied Mathematics, Shandong University of Technology, Zibo 255049, China~ 2. Institute of Environmental Science and Technology, Shandong University of Technology, Zibo 255049, China~ 3. School of Material Science and Engineering, Shandong University of Technology, Zibo 255049, China; 4. Inspecting Station of Geology and Environment in Zibo, Zibo 255091, China; 5. Zibo Water Resources Management Office, Zibo 255032, China |
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| Abstract: | One-dimensional soil-column experiment models and inverse problems are discussed in this paper.Due to nonlinear behaviors of solute transport in soil and groundwater,the ordinary retardation factor should be a nonlinear function of solute concentration,and the zero production term should be modified to a nonlinear term related with solute concentration,and then a new mathematical model with nonlinear terms is proposed.Furthermore,two kinds of inverse problems for soil-column experiments are discussed.Finally,an original soil-column experi ment in Zhangdian of Ziboisinvestigated,and a reasonable explanationforthe testing results is obtained with the help of the mathematical model. |
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| Keywords: | one-dimensional soil-column experiment mathematical model nonlinear adsorp-tion nonlinear source(sink) reactions inverse problems |
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