Drawdown Distribution around Large Diameter Well in Double Porosity Medium
Publication: Journal of Hydrologic Engineering
Volume 7, Issue 1
Abstract
Naturally fractured rock is idealized as a double porosity medium which is composed of homogeneous fractures and blocks. The groundwater flow is Darcian toward a fully penetrating large diameter well, from which the water is withdrawn at a constant rate. For such a configuration of well and flow characteristics, the necessary continuity expressions are written for the blocks and fractures separately in addition to the fracture as well as the block-to-fracture flow laws. The combination of these expressions and solution of the resulting partial differential equation by means of Boltzmann transformations lead to type curve expressions, which give the drawdown variations with time. These curves have initial straight line portions that are steeper than a singly porous medium case and therefore indicate the natural fracturation within the aquifer. The application of the derived type curves is shown through matching a procedure to actual field data.
Get full access to this article
View all available purchase options and get full access to this article.
References
Barenblatt, G. E., Zheltov, I. P., and Kochina, I. N.(1960). “Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks.” J. Appl. Math. Mech., 24(5), 1286–1303.
Boulton, N. S., and Streltsova, T. D.(1975). “The drawdown near an abstraction well of large diameter under nonsteady conditions in an unconfined aquifer.” J. Hydrol., 30, 29–46.
Crawford, C. E., Hagedorn, A. R., and Pierce, A. E.(1976). “Analysis of pressure buildup tests in a naturally fractured reservoir.” J. Cdn. Pet. Tech., 65, 1295–1300.
Duguid, J. D., and Lee, P. C.(1977). “Flow in fractured porous media.” Water Resour. Res., 13(1), 555–566.
Fenske, P. R.(1977). “Radial flow with discharging well and observation well storage.” J. Hydrol., 32, 87–96.
Forchheimer, P. H.(1901). “Wasserbewegung durch boden.” Zeitschrift des Vereines Duetcher Ingenieure, 49, 1749–1782 (in German).
Huyakorn, P., Lester, B. H., and Faust, C. D.(1983). “Finite element technique for modelling groundwater flow in fractured aquifers.” Water Resour. Res., 19(4), 1019–1035.
Kazemi, H.(1969). “Pressure transient analysis of naturally fractured reservoir with uniform fracture distribution.” Soc. Pet. Eng. J., 256, 451–461.
Lai, R. Y. S., Karadi, G. M., and Williams, R. A.(1973). “Drawdown at time dependent flowrate.” Water Resour. Res., 9, 892–900.
Muskat, M. (1937). The flow of homogeneous fluids through porous media, McGraw-Hill, New York.
Odeh, A. S.(1965). “Unsteady state behavior of naturally fractured reservoir.” Soc. Pet. Eng. J., 243, 60–64.
Papadopoulos, I. S., and Cooper, H. H. (1967a). “Drawdown distribution around a large diameter well.” Proc., Symposium on Groundwater Hydrology, American Water Resources Association Bethesda, Md., 4, 157–168.
Papadopoulos, I. S., and Cooper, H. H.(1967b). “Drawdown in a well of large diameter.” Water Resour. Res., 3(1), 241–244.
S˛en, Z.(1982). “Type curves for large diameter wells near barriers.” Ground Water, 20(3), 274–277.
S˛en, Z.(1985). “Volumetric approach to type curves in leaky aquifers.” J. Hydraul. Div., Am. Soc. Civ. Eng., 111(3), 467–484.
S˛en, Z.(1986). “Aquifer test analysis in fractured rocks with linear flow pattern.” Ground Water, 24(1), 72–78.
S˛en, Z.(1987a). “Non-Darcian flow in fractured rocks with linear flow pattern.” J. Hydrol., 92, 43–57.
S˛en, Z.(1987b). “Storage coefficient determination from quasi-steady state flow.” Nord. Hydrol., 18, 101–110.
S˛en, Z.(1988). “Type curves for two regime well flow.” J. Hydraul. Div., Am. Soc. Civ. Eng., 114(12), 1461–1486.
S˛en, Z.(1989). “Nonlinear flow towards wells.” J. Hydraul. Div., Am. Soc. Civ. Eng., 115(2), 193–209.
S˛en, Z. (1995). Applied hydrogeology for scientists and engineers, CRC Lewis, New York.
Streltsova, T. D.(1976). “Hydrodynamics of groundwater flow in a fractured formation.” Water Resour. Res., 12(13), 405.
Streltsova, T. D. (1978). “Well hydraulics in heterogeneous aquifer formations.” Advances in hydroscience, V. T. Chow, ed., Academic Press, New York, 357–423.
Theis, C. V.(1935). “The relation between the lowering of the piezometric surface and the rate and duration of discharge of a well using groundwater storage.” Trans., Am. Geophys. Union, 2, 519–524.
Thiem, G. (1906). Hydrologische methoden, Geghart, Leipzig, Germany (in German).
Warren, J. E., and Root, P. J.(1963). “The behavior of naturally fractured reservoirs.” Soc. Pet. Eng. J., 228, 245–255.
Information & Authors
Information
Published In
Journal of Hydrologic Engineering
Volume 7 • Issue 1 • January 2002
Pages: 90 - 96
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: Jul 17, 2000
Accepted: Jan 15, 2001
Published online: Jan 1, 2002
Published in print: Jan 2002
Authors
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.