Theoretical Study of the Effect of Permeability Tensor upon Drainage of Soils

Main Article Content

Faridoun. A. M. Allawi

Abstract

the influence of permeability tensor upon drainage of anisotropic soils under ponded water and steady recharge (rainfall) is theoretically investigated. Tensorial permeability has led to the formulation of mixed type partial differential equations. Since there is no analytical solution to this problem, the formulation is therefore solved numerically by the method of finite elements. The finite element formulation is implemented into a computer model which can be applied to any problem of seepage under steady state
conditions. Two different example problems representing two different flow conditions under full anisotropy have been studied. Results of the model for the isotropic case were checked against exact mathematical solutions derived analytically for isotropic soils and found to be accurate which indicates that using this model for anisotropic soils is safe and sound

Article Details

Section

Articles

How to Cite

“Theoretical Study of the Effect of Permeability Tensor upon Drainage of Soils” (2013) Journal of Engineering, 19(07), pp. 883–895. doi:10.31026/j.eng.2013.07.09.

References

Bazarra, A.S., Abdel-Dayem, M.S., Amer, A.,Willardson, L.S, "Artesian and Anisotropic Effects on Drain Spacing", Journal of Irrigation

and Drainage Eng., ASCE, vol. 112, no.1, 1986

Barua, G. and Tiwari, K.N, "Ditch Drainage Theories for Homogeneous and Anisotropic Soil", Journal of Irrigation and Drainage Eng.,

vol.122, no.5, 1996.

Conductivity Varying with Depth”, Journal of Hydrology, vol.3, 1965.

Fipps, G. and Skaggs, R.W "Simple methods for predicting flow to drains", Journal of Irrigation and Drainage Eng., vol.117, no.6, 1991

Hinesly, T.D. and Kirkham, D, "Theory and Flow Nets for Rain and Artesian Water Seeping into Soil Drains", Water Resources Res., vol.1.2,

No.3, 1966.

Siyal, A.A., Skaggs, T.H. and Van Genuchten, M.Th “Reclamation of Saline Soils by Partial Ponding: Simulation for Different Soils”,

Vadoze zone journal, vol. 9, 2010.

Sharma, H.C., Chauhan, H.S., Kapoor, P. N. and Ram, S, "Ditch Drainage in Layered Soils", Journal of Irrigation and Drainage Eng., vol.117,

no.2, 1991

Toksoz, S. and Kirkham, D, "Steady Drainage of layered Soil: I, Theory " Journal of Irrigation and Drainage Eng., ASCE, vo1.97, no.1, 1971

Vimoke, B.S. and Taylor, G.S, "Simulating Water Flow in Soil with an Electrical Resistance Network", ARS 41-65, USDA. Washington, D.C., 1962.

Wang, H.F and Anderson, M.P "Introduction to Groundwater Modeling", W.H. Freeman and Company, San Francisco, 1982

Youngs, E. G, “Horizontal Seepage through Unconfined Aquifers with Hydraulic

Youngs, E.G. and P.B. Leeds-Harrison “Improving efficiency of desalinization with subsurface drainage”, Journal of Irrigation and Drainage, vol. (126), 2000

Similar Articles

You may also start an advanced similarity search for this article.