Analytical solution for steady groundwater flow analysis in infinite and finite leakage aquifers

Document Type : Original Article

Authors

1 Assistant Professor, Department of Civil Engineering ,University of Zanjan, Iran

2 2- M.Sc. student Hydraulic Structures, Civil Engineering ,University of Zanjan, Iran

10.22125/iwe.2021.128202

Abstract

Knowing the values and changes of hydrological parameters of aquifers for sustainable management and conservation of groundwater resources is very important and crucial. Among the hydrological parameters of leakage aquifer in groundwater flow are transmissibility coefficient and specific leakage. The innovation of this research is to study the effect of changes in these parameters on the steady flow of groundwater of finite and infinite leakage aquifers using the new and accurate selotions provided in this investigation. In this research, infinite and finite leakage aquifers in steady state of groundwater flow were studied and with using a new analytical method, new and exact solutions for calculating the drawdown in each of the aquifers were achieved. Also using these selotions, the sensitivity analysis of transmissibility coefficient and specific leakage of aquifers were done.

Keywords


. Cobb, P., C. McElwee, and M. Butt. 1982. Analysis of leaky aquifer pumping test data: An automated numerical solution using sensitivity analysis. Ground Water. 20(3): 325-333.
 
Ferris, J.G., et al. 1962. Theory of aquifer tests: US Government Printing Office Washington.
.Feng, Q. and H. Zhan. 2015. On the aquitard–aquifer interface flow and the drawdown sensitivity with a partially penetrating pumping well in an anisotropic leaky confined aquifer. Journal of Hydrology. 521: 74-83.
 
 
.Jacob, C.E. 1946. Radial flow in a leaky artesian aquifer. Eos, Transactions American Geophysical Union. 27(2): 198-208.
 
.Hantush, M.S. and C.E. Jacob. 1955. Non-steady radial flow in an infinite leaky aquifer. Eos, Transactions American Geophysical Union. 36(1): 95-100.
 
.Hantush, M.S. 1959. Nonsteady flow to flowing wells in leaky aquifers. Journal of Geophysical Research. 64(8): 1043-1052.
Huang, C.S., S.Y. Yang, and H.D. Yeh. 2014. Groundwater flow to a pumping well in a sloping fault zone unconfined aquifer. Water Resources Research. 50(5): 4079-4094.
 
.
.Li, H. and J.J. Jiao. 2001. Tide-induced groundwater fluctuation in a coastal leaky confined aquifer system extending under the sea. Water Resources Research. 37(5): 1165-1171.
 
.Lin, G.F. and G.R. Chen. 2005. Determination of aquifer parameters using radial basis function network approach. Journal of the Chinese Institute of Engineers. 28(2): 241-249
 
..Lin, Y.-C., M.-H. Li, and H.-D. Yeh. 2017. An analytical model for flow induced by a constant-head pumping in a leaky unconfined aquifer system with considering unsaturated flow. Advances in Water Resources
 
.Li, P., et al. 2014. Determining the optimal pumping duration of transient pumping tests for estimating hydraulic properties of leaky aquifers using global curve-fitting method: a simulation approach. Environmental earth sciences. 71(1): 293-299
 
.Lohman, S.W. 1972. Ground-water hydraulics: US Government Printing Office.
..Chuang, M.-H. and H.-D. Yeh. 2007. An analytical solution for the head distribution in a tidal leaky confined aquifer extending an infinite distance under the sea. Advances in water resources. 30(3): 439-445.
.
Tang, Z. and J.J. Jiao. 2001. A two-dimensional analytical solution for groundwater flow in a leaky confined aquifer system near open tidal water. Hydrological processes. 15(4): 573-585.
 
.
Saeedpanah, I. and R. Golmohamadi Azar. 2017. New Analytical Solutions for Unsteady Flow in a Leaky Aquifer between Two Parallel Streams. Water Resources Management. 31(7): 2315-2332.
 
Yu, C.-C., S.-Y. Yang, and H.-D. Yeh. 2013. Semi-analytical solution of groundwater flow in a leaky aquifer system subject to bending effect. Journal of hydrology. 486: 395-402.
.
.Wen, Z., et al. 2011. Constant-head test in a leaky aquifer with a finite-thickness skin. Journal of hydrology. 399(3): 326-334
 
Wen, Z., F. Wu, and Q. Feng. 2016. Non-Darcian Flow to a Partially Penetrating Pumping Well in a Leaky Aquifer Considering the Aquitard–Aquifer Interface Flow. Journal of Hydrologic Engineering. 21(12): 06016011.
 
.Zhao, Y., Y.-K. Zhang, and X. Liang. 2016. Analytical solutions of three-dimensional groundwater flow to a well in a leaky sloping fault-zone aquifer. Journal of Hydrology. 539: 204-213.