| 张建山,仵彦卿,李哲.考虑土体颗粒运动的承压含水层单井抽水数学模型及其解析分析[J].干旱地区农业研究,2005,(1):45~49 |
| 考虑土体颗粒运动的承压含水层单井抽水数学模型及其解析分析 |
| A mathematical water-pumping model of single wells withdrawing water from confined aquifers and its analytical analysis considering soil-particle movements |
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| DOI：10.7606/j.issn.1000-7601.2005.01.08 |
| 中文关键词: 承压含水层 单井抽水 颗粒运动 数学模型 定量计算 |
| 英文关键词:confined aquifer water withdrawal single well mathematical model quantitative determination |
| 基金项目:国家自然科学基金项目(10172071) |
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| 中文摘要: |
| 对于承压含水层单井抽水引起的含水层变形问题,以单元体变形为基础,建立了考虑含水层中颗粒运动的承压含水层单井抽水数学模型;提出了颗粒运动函数的概念,对特定的定解条件给出了解析解;推求出单井抽水含水层颗粒位移量的计算公式,通过算例对该模型进行了分析。结果表明,井壁颗粒逸出易导致井周含水层颗粒的较大位移;当抽水井井壁无颗粒逸出时,颗粒位移量的最大值并不在井壁处,而且,随着抽水时间的延续,其最大值也逐渐增大,其位置也向远离井周的方向推移。该模型可用于对抽水引起的地面沉降进行系统的预测和定量计算。 |
| 英文摘要: |
| Considering the problem that the water withdrawal of single wells from confined aquifers makes the aquifers changes in shape and on the basis of the shape changes of aquifer haploids, the paper establishes a mathematical water-pumping models of single wells withdrawing water from confined aquifers, put forward the concept of the movement of soil particles, and presents the analytical analysis of the model under specific analytical conditions. Meanwhile, it deduces the formulae to calculate the displacements of soil particles resulting from the water withdrawal of single wells from confined aquifers, and then analyzes the model using a case calculation. The results shows that the escape of soil particles from the well wall is liable to lead to big soil particle displacement; when the escape does not occur, the maximum soil particle displacement does not appear inside the well wall; as the water withdrawal lasts long, the maximum soil particle displacement increases and the locations where the maximum soil particle displacement occurs goes away from the wells. The model can be used in systematically forecasting and quantitatively computing ground subsidence. |
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