Technical Notes
Oct 22, 2015

Modeling of Variably Saturated Flow in Response to Pumping from an Unconfined Aquifer: Numerical Evidence of Gravity-Delayed Drainage and Its Parameterization

Publication: Journal of Hydrologic Engineering
Volume 21, Issue 2

Abstract

A numerical model of variably saturated axis-symmetric radial flow is employed to simulate and parameterize the gravity-delayed drainage, viewing it as the vertical accretion over falling water table. Numerical experiments are conducted to simulate the head fields at advancing discrete times as pumping is sustained at the assigned well. The head fields are invoked to generate the corresponding time series of water table elevation and the accretion rate over it. Employing these time series, the optimal structure/parameters of gravity-delayed drainage equation are estimated by the least-squares approach under a variety of hydrogeologic/geometric conditions. It is revealed that generally, a two-parameter gravity-delayed drainage equation reproduces parsimoniously the accretion time series.

Get full access to this article

View all available purchase options and get full access to this article.

References

Akindunni, F. F., and Gillham, R. W. (1992). “Unsaturated and saturated flow in response to pumping of an unconfined aquifer: Numerical investigation of delayed gravity drainage.” Ground Water, 30(6), 873–884.
Bevan, M. J., Endres, A. L., Rudolph, D. L., and Parkin, G. (2005). “A field-scale study of pumping-induced drainage and recovery in an unconfined aquifer.” J. Hydrol., 315(1–4), 52–70.
Boulton, N. S. (1963). “Analysis of data from non-equilibrium pumping tests allowing for delayed yield from storage.” Proc. Inst. Civ. Eng., 26, 469–482.
Dogan, A., and Motz, L. H. (2005). “Saturated-unsaturated 3D groundwater model. I: Development.” J. Hydrol. Eng., 492–504.
Halford, K. J. (1997). “Effects of unsaturated zone on aquifer test analysis in a shallow-aquifer system.” Ground Water, 35(3), 512–522.
Lappala, E. G. (1978). “Quantitative hydrology of the upper republican natural resources. District, southwest Nebraska.” U.S. Geological Survey, Water-Resources Investigations.
Lappala, E. G., Healy, R. W., and Weeks, E. P. (1987). “Documentation of computer program VS2D to solve the equations of fluid flow in variably saturated porous media.”, U.S. Geological Survey.
Moench, A. F. (2004). “Importance of the vadose zone in analyses of unconfined aquifer tests.” Ground Water, 42(2), 223–233.
Moench, A. F. (2008). “Analytical and numerical analyses of an unconfined aquifer test considering unsaturated zone characteristics.” Water Resour. Res., 44(6), W06409.
Moench, A. F., Garabedian, S. P., and LeBlanc, D. R. (2001). “Estimation of hydraulic parameters from an unconfined aquifer test conducted in a glacial outwash deposit, Cape Cod, Massachusetts.” U.S. Geological Survey.
Nwankwor, G. I., Cherry, J. A., and Gillham, R. W. (1984). “A comparative study of specific yield determinations for a shallow sand aquifer.” Ground Water, 22(6), 764–772.
Nwankwor, G. I., Gillham, R. W., van der Kamp, G., and Akindunni, F. F. (1992). “Unsaturated and saturated flow in response to pumping of an unconfined aquifer: Field evidence of delayed gravity drainage.” Ground Water, 30(5), 690–700.
Prickett, T. A. (1965). “Type-curve solution to aquifer tests under water-table conditions.” Ground Water, 3(3), 5–14.
Trivedi, N. M. (2010). “Modeling of unconfined flow towards a pumping well.” Ph.D. thesis, Dept. of Civil Engineering, Indian Institute of Technology Roorkee, Roorkee, India.
van Genuchten, M. TH. (1980). “A closed-form equation for predicting the hydraulic conductivity of unsaturated soils.” Soil Sci. Soc. Am. J., 44(5), 892–898.

Information & Authors

Information

Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 21Issue 2February 2016

History

Received: Mar 13, 2015
Accepted: Aug 21, 2015
Published online: Oct 22, 2015
Published in print: Feb 1, 2016
Discussion open until: Mar 22, 2016

Permissions

Request permissions for this article.

Authors

Affiliations

Niranjan M. Trivedi
Associate Professor, Dept. of Civil Engineering, Saradar Vallabhbhai Patel Institute of Technology, Vasad, Gujarat 388306, India.
Deepak Kashyap [email protected]
Professor, Dept. of Civil Engineering, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand 247667, India (corresponding author). E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share