Engineering Geology

Engineering Geology

Influence of well physical parameters on the cone of depression in the zone of influence of water wells in unconfined alluvial aquifers

Authors
1 Department of Civil Engineering, Dezful Branch, Islamic Azad University, Dezful, Iran
2 Department of physics, Dezful Branch, Islamic Azad University, Dezful, Iran
Abstract
The zone of influence is the area where water withdrawal from the well causes the water level to fall. The drawdown cone is a conical shape of the water level in the zone of influence, and it is necessary to know the effect of the factors influencing it. Previous studies have mainly investigated aquifers with horizontal water levels and less realistic conditions. The purpose of this study is to investigate the effect of well physical parameters on the drawdown cone in one of the unconfined aquifers with a sloping water surface. In this aquifer, a normal discharge well was simulated using the Modflow program and the effect of the target parameters was studied. The results showed that: the drawdown cone is symmetrical up to long pumping and relatively long distances; the zone of influence will eventually extend to the entire aquifer and significant drawdown will occur at long distances. A significant part of the drawdown in the well is recovered in the first moments of pump shutdown, but at long distances, the drawdown continues to increase for a long time. An inflection point can be extracted from the drawdown cone which represents the minimum drawdown that does not increase after the pump is stopped and can be introduced as a unique value. By increasing the flow several times, the depth of the cone increases, but the width of the cone increases only slightly. If the pump is turned on and off successively, the general shape of the cone does not depend on the nominal discharge of the well, but mainly on the average discharge of the aquifer. Relative infiltration increases the depth of the cone only near the well and has no significant effect on its shape further away.
Keywords

Ahmadi, A., Chitsazan, M., Mirzaee, S. Y., and Nadri, A. 2023. The effects of influence radius and drawdown cone on the areas related to the protection of water wells. Journal of Hydrology, 617, 129001.
Ahmadi, A., Mirzavand, G., and Zebarjad, M. 2023. The drawdown cone of influence zone in water wells in unconfined alluvial aquifers and the influence of physical parameters of the aquifer on it [Original Research]. Journal of Engineering Geology, 17(3), 299-320.
Barry, D., Parlange, J.-Y., and Li, L. 2000. Approximation for the exponential integral (Theis well function). Journal of Hydrology, 227, 287 - 291.
Bear, J. 2012. Hydraulics of groundwater. Courier Corporation.
Bresciani, E., Shandilya, R. N., Kang, P. K., and Lee, S. 2020. Well radius of influence and radius of investigation: What exactly are they and how to estimate them? Journal of Hydrology, 583, 124646.
Cooper Jr, H., and Jacob, C. E. 1946. A generalized graphical method for evaluating formation constants and summarizing well‐field history. Eos, Transactions American Geophysical :union:, 27(4), 526-534.
Darcy, H. 1856. Les fontaines publiques de la ville de Dijon: Exposition et application des principes à suivre et des formules à employer dans les questions de distribution d'eau (Vol. 2). V. Dalmont.
Dragoni, W. 1998. Some considerations regarding the radius of influence of a pumping well. Hydrogéologie (Orléans)(3), 21-25.
Dupuit, J. E. 1863. Études théoriques et pratiques sur le mouvement des eaux dans les canaux découverts et à travers les terrains perméables. Dunod, Paris, 352 pp.
ITES. 2014. Guideline for determining the quantitative zone of wells and qanats (Iran's technical and executive system, Issue 419).
Langevin, C. D., Hughes, J.D., Banta, E.R., Niswonger, R.G., Panday, Sorab, and Provost, A.M. 2017. Documentation for the MODFLOW 6 Groundwater Flow Model: U.S. Geological Survey Techniques and Methods, book 6, chap.
Louwyck, A., Vandenbohede, A., Libbrecht, D., Van Camp, M., and Walraevens, K. 2022. The Radius of Influence Myth. Water, 14(2), 149.
McDonald, M. G., and Harbaugh, A. W. 1988. A modular three-dimensional finite-difference ground-water flow model (Techniques of Water-Resources Investigations of the U.S. Geological Survey Issue book 6, chap. A1).
Moench, A. F. 1997. Flow to a well of finite diameter in a homogeneous, anisotropic water table aquifer. Water Resources Research, 33(6), 1397-1407.
Neuman, S. P. 1972. Theory of flow in unconfined aquifers considering delayed response of the water table. Water Resources Research, 8(4), 1031-1045.
Neuman, S. P. 1974. Effect of partial penetration on flow in unconfined aquifers considering delayed gravity response. Water Resources Research, 10(2), 303-312.
Remini, B., Kechad, R., and Achour, B. 2014. The collecting of groundwater by the qanats: a millennium technique decaying. LARHYSS Journal P-ISSN 1112-3680/E-ISSN 2521-9782(20).
Theis, C. V. 1935. The relation between the lowering of the piezometric surface and the rate and duration of discharge of a well using ground‐water storage. Eos, Transactions American Geophysical :union:, 16(2), 519-524.
Thiem, G. 1906. Hydrologische Methoden: Leipzig, Germany. JM Gebhardt, 56p.
Vatankhah, A. R. 2014. Full-range solution for the Theis well function. Journal of Hydrologic Engineering, 19(3), 649-653.
Winston, R. B. 2019. ModelMuse Version 4: a graphical user interface for MODFLOW 6. Scientific Investigations Report-US Geological Survey(2019-5036).
Zhai, Y., Cao, X., Jiang, Y., Sun, K., Hu, L., Teng, Y., Wang, J., and Li, J. 2021. Further discussion on the influence radius of a pumping well: A parameter with little scientific and practical significance that can easily be misleading. Water, 13(15), 2050.