| A mathematical water-pumping model of single wells withdrawing water from confined aquifers and its analytical analysis considering soil-particle movements |
|
View Fulltext View/Add Comment Download reader |
| |
| DOI：10.7606/j.issn.1000-7601.2005.01.08 |
| Key Words: confined aquifer water withdrawal single well mathematical model quantitative determination |
|
| Hits: 6 |
| Download times: 1 |
| Abstract: |
| 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. |