Engineering Transactions, 54, 2, pp. 125–142, 2006

Effect of Subsurface Heterogeneous Correlated Hydraulic Properties on the Stochasti Behavior of the Unsteady Well Drawdown in a Confined Aquifer

Mostafa Ahmed Moawad Abdeen
Cairo University

Alaa E. Abdin
Ministry of Water Resources and Irrigation

Groundwater is considered to be one of the most important water resources especially in areas where surface water resource, is not sufficient. However, utilizing this important groundwater resource requires a complete understanding of the groundwater flow behavior within the subsurface formations. The assumption of considering the subsurface formation as homogeneous media has been proven to be un-realistic. Therefore, the subsurface formation has to be considered as a heterogeneous structure in investigating the groundwater flow behavior. In addition, full understanding of the impact of the subsurface heterogeneous formation on the groundwater flow behavior is very essential in safe utilization of this important water resource. The current study investigates the impact of two subsurface heterogeneous correlated hydraulic properties on the stochastic behavior of a two-dimensional unsteady well drawdown in a confined aquifer. In addition, the presented study compares the impact of two subsurface heterogeneous cases. The first case considers two subsurface correlated hydraulic properties (current study), while the second case considers the heterogeneous subsurface hydraulic conductivity only. The two hydraulic properties considered in the current study are the subsurface hydraulic conductivity and storativity. The Monte Carlo stochastic approach is used in this study to perform various numerical computations required to assess the investigated problem. The results obtained from this study showed how important it was to consider and understand the heterogeneous subsurface formation and its impact on the groundwater flow behavior, since the two-dimensional unsteady well draw-down was greatly affected by the degree of heterogeneity and the correlation structure of the subsurface hydraulic properties.
Keywords: stochastic; Monte Carlo; well drawdown; correlated subsurface properties
Full Text: PDF


A.E. Abdin and M.A.M. Abdeen, Effect of subsurface heterogeneity on the unsteady well drawdown in a confined aquifer, ASCE Conference, Washington 1999.

A.E. Abdin, Effect of subsurface heterogeneous storativity on the stochastic behavior of the unsteady well drawdown in a confined aquifer, Engineer Bulletin, Faculty of Engineering, Ain Shams University, 2004.

J. Bear, Dynamics of fluids in porous media, Dover Mineola, New York 1972.

C.M. Chang, Mw. W. Kemblowski, J.J. Kaluarachchi and A.E. Abdin, Stochastic analysis of two-phase flow in porous media: I. Spectral/perturbation approach, Transport in Porous Media, 19, 233–259, 1995.

C.M. Chang, Mw. W. Kemblowski, J.J. Kaluarachchi And A.E. Abdin, Stochastic analysis of multiphase flow in porous media: I. Spectral/perturbation approach, Stochastic Hydrology and Hydraulics, 9, 239–267, 1995.

S.T. Chu, Transient Radius of influence model, Journal of Irrigation and Drainage Engineering, 120, 5, 964–969, 1994.

R M. Holt, J.L. Wilson, and R.J. Glass, Error in unsaturated stochastic models parameterized with field data, Water Resour. Res., 39, 2, 2003.

H. Huang, B. X. Hu, X.-H. Wen, and C. Shirley, Stochastic inverse mapping of hydraulic conductivity and sorption partitioning coefficient fields conditioning on nonreactive and reactive tracer test data, Water Resour. Res., 40, 2004.

P. Indelman, G. Dagan, A. H.-D. Cheng, and D. Ouazar, Sensitivity analysis of flow in multilayered leaky aquifer, Journal of Hydraulic Engineering, 122, 1, 41–45, 1996.

A. Mantoglou, and J.L. Wilson, The turning bands method for simulation of random fields using line generation by a spectral method, Water Resour. Res., 18, 5, 1379–1394, 1982.

D.S. Oliver, The influence of nonuniform transmissivity and storativity on drawdown, Water Resour. Res., 29, 1, 169–178, 1998.

Z. Sen, Volumetric approach to type curves in leaky aquifers, Journal of Hydraulic Engineering, 111, 3, 467–484, 1985.

Z. Sen, Nonlinear flow towards wells, Journal of Hydraulic Engineering, 115, 2, 193–209, 1989.

T. D. Streltsova, Well hydraulics in vertically heterogeneous formations, Journal of Hydraulics Division, 108, 11, 1311–1327, 1982

C. V. Theis, The relation between the lowering of the piezometric surface and the rate and duration of discharge of a well using groundwater storage, Trans. Amer. Geophys., Union, 2, 519–524, 1935.

H.F. Wang and M.P. Anderson, Introduction to groundwater modeling, W. H. Free¬man and Company, 1982.

T.-C.J. Yeh, L.W. Gelhar, and A.L. Gutjahr, Stochastic analysis of unsaturated flow in heterogeneous soils, 1, statistically isotropic media, Water Resour. Res., 21, 4, 447–456, 1985.

D. Zhang and Z. Lu, Stochastic analysis of flow in a heterogeneous unsaturated-saturated system, Water Resour. Res., 38, 2, 2002.

DOI: 10.24423/engtrans.411.2006

Copyright © 2014 by Institute of Fundamental Technological Research
Polish Academy of Sciences, Warsaw, Poland