Mathematical Model and Analytical Solution for Groundwater Seepage in Confined Aquifer Subjected to Well Pumping without Penetrating Overlying Aquiclude
- DOI
- 10.2991/amms-17.2017.50How to use a DOI?
- Keywords
- groundwater; confined aquifer; anlytical solution; nonpenetrating well; integral transfomation
- Abstract
Groundwater in confined aquifer was pumped at constant rate through base plate of a vertical well without penetrating overlying aquiclude, a mathematical model for seepage in confined aquifer was developed, and by technique of integral transforms of Hankel Transformation and Laplace Transformation respectively, the analytical solution was attained. By a numerical example, the seepage of groundwaAter was analyzed, and some conclusions were derived: (1) The drawdown of hydraulic head in the confined aquifer decreases with the depth and with the distance away from pumping well; (2) The effect of base plate size of pumping well on the drawdown of hydraulic head is finite and mainly converges on the vicinity of base plate of pumping well; (3) The resistance coefficient of leakage B remarkably affects the distribution of drawdown, and the smaller B leads to more water leaking from aquiclude into the confined aquifer to reduce amplitude of drawdown in confined aquifer due to pumping.
- Copyright
- © 2017, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Yulin Wang AU - Kanghe Xie AU - Xiaohua Zhao PY - 2017/11 DA - 2017/11 TI - Mathematical Model and Analytical Solution for Groundwater Seepage in Confined Aquifer Subjected to Well Pumping without Penetrating Overlying Aquiclude BT - Proceedings of the 2017 International Conference on Applied Mathematics, Modeling and Simulation (AMMS 2017) PB - Atlantis Press SP - 224 EP - 227 SN - 1951-6851 UR - https://doi.org/10.2991/amms-17.2017.50 DO - 10.2991/amms-17.2017.50 ID - Wang2017/11 ER -