Proceedings of the 2017 International Conference on Applied Mathematics, Modeling and Simulation (AMMS 2017)

# Mathematical Model and Analytical Solution for Groundwater Seepage in Confined Aquifer Subjected to Well Pumping without Penetrating Overlying Aquiclude

Authors
Yulin Wang, Kanghe Xie, Xiaohua Zhao
Corresponding Author
Yulin Wang
Available Online November 2017.
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.

Open Access

Volume Title
Proceedings of the 2017 International Conference on Applied Mathematics, Modeling and Simulation (AMMS 2017)
Series
Publication Date
November 2017
ISBN
10.2991/amms-17.2017.50
ISSN
1951-6851
DOI
10.2991/amms-17.2017.50How to use a DOI?
Open Access

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  -