Technical Papers
Jan 8, 2015

Hydraulics of a Partially Penetrating Ditch Drainage System in a Layered Soil Receiving Water from a Ponded Field

Publication: Journal of Irrigation and Drainage Engineering
Volume 141, Issue 8

Abstract

This study deals with the development of an analytical solution for predicting seepage into an array of ditch drains dug in a three-layered soil underlain by an impervious barrier and receiving water from a ponded field of infinite extent. The solution is of a general nature and can account for partial penetration, finite width and spacing of drains, finite depth of the impervious stratum, anisotropy of individual layers, and a uniform ponding distribution at the surface of the soil. The validity of the developed solution for the single-layered situation is checked by first reducing the proposed multilayered solution to that of a single-layered one by treating the conductivity of the layers as the same and then comparing for a few flow situations the hydraulic heads as predicted by the reduced model with corresponding values obtained from the analytical and experimental works of others. A numerical check on the developed analytical model for a multilayered soil is also carried out. The study shows that flow to a multilayered ponded ditch drainage system is sensitive to the magnitude of the hydraulic conductivity as well as on the anisotropy of the constituent layers. Further, the study also corroborates the work of others that the presence of a plow sole layer in a paddy field greatly restricts the movement of seepage water through such a soil and that for such a situation considerable time may be required by a water particle to move from the surface of the field to a recipient subsurface drain in the soil.

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References

Abrol, I. P., Yadav, J. S. P., and Massoud, F. I. (1988). “Salt-affected soils and their management.” FAO soils bulletin, Vol. 39, Soil Resources, Management and Conservation Service, Food and Agricultural Organization of the United Nations (FAO) Land and Water Development Division, Rome.
Barua, G., and Tiwari, K. N. (1995). “Analytical solution of seepage into ditch ditches from ponded fields.” J. Irrig. Drain. Eng., 396–404.
Bear, J. (1972). Dynamics of fluids in porous media, Elsevier, New York.
Chahar, B. R., and Vadodaria, G. P. (2008a). “Drainage of ponded surface by an array of ditches.” J. Irrig. Drain. Eng., 815–823.
Chahar, B. R., and Vadodaria, G. P. (2008b). “Steady subsurface drainage of homogeneous soil by ditches.” Proc. ICE Water Manage., 161(WM6), 303–311.
Chahar, B. R., and Vadodaria, G. P. (2012). “Steady subsurface drainage of ponded surface by an array of parallel ditches.” J. Hydrol. Eng., 895–908.
Chen, S. K., Liu, C. W., and Huang, H. C. (2002). “Analysis of water movement in paddy rice fields (II) simulation studies.” J. Hydrol., 268(1–4), 259–271.
Chiang, W., and Kinzelbach, W. (2001). 3D-groundwater modeling with PMWIN: A simulation system for modeling groundwater flow and pollution, Springer, Berlin.
Dielman, P. J. (1973). Reclamation of salt-affected soils in Iraq, International Institute for Land Reclamation and Improvement, Wageningen, The Netherlands.
Fukuda, H. (1957). “Underdrainage into ditches in soil overlying an impervious substratum.” Trans. Am. Geophys. Union, 38(5), 730–739.
Ghassemi, F., Jakeman, A. J., and Nix, H. A. (1995). Salinisation of land and water resource: Human causes, extent, management and case studies, University of New South Wales Press, Sydney, Australia.
Grove, D. B., Beatam, W. A., and Sower, F. B. (1970). “Fluid travel time between a recharging well pair in an aquifer having a uniform regional flow field.” Water Resour. Res., 6(5), 1404–1410.
Huang, H. C., Liu, C. W., Chen, S. K., and Chen, J. S. (2003). “Analysis of percolation and seepage through paddy bunds.” J. Hydrol., 284(1–4), 13–25.
Huang, M., Barbour, S. L., Elshorbagy, A., Zettl, J. D., and Si, B. C. (2011). “Infiltration and drainage processes in multi-layered coarse soils.” Can. J. Soil Sci., 91(2), 169–183.
IDNP (Indo-Dutch Network Project). (2002). Recommendations on water logging and salinity control based on pilot area drainage research, Central Soil Salinity Research Institute, Karnal, India.
Kirkham, D. (1945). “Artificial drainage of land: Streamline experiments. The artesian basin—III.” Trans. Am. Geophys. Union, 26(3), 393–406.
Kirkham, D. (1950). “Seepage into ditches in the case of a plane water table and an impervious substratum.” Trans. Am. Geophys. Union, 31(3), 425–430.
Kirkham, D. (1960). “Seepage into ditches from a plane water table overlying a gravel substratum.” J. Geophys. Res., 65(4), 1267–1272.
Kirkham, D. (1965). “Seepage of leaching water into drainage ditches of unequal water level height.” J. Hydrol., 3(3–4), 207–224.
Kirkham, D., and Powers, W. L. (1972). Advanced soil physics, Wiley, New York.
Kirkham, D., and Van Bavel, C. H. M. (1948). “Theory of seepage into auger holes.” Soil Sci. Soc. Am. Proc., 13, 75–82.
Liu, S., Xingguo, M., Haibin, L., Gongbing, P., and Alan, R. (2001). “Spatial variation of soil moisture in China: Geostatistical characterization.” J. Meteorol. Soc. Jpn., 79(1B), 555–574.
Maasland, M. (1957). “Soil anisotropy and land drainage.” Drainage of agricultural lands, J. N. Luthin, ed., American Society of Agronomy, Madison, WI, 216–285.
Martinez-Beltran, J. (1978). Drainage and reclamation of salt affected soils in the Bardenas area, Spain, ILRI Publication, Wageningen, The Netherlands.
Martinez-Beltran, J. (2002). “World food summit.” 〈http://www.fao.org/worldfoodsummit/english/newsroom/focus/focus1.htm〉 (Jun. 10, 2002).
Mirjat, M. S., and Rose, D. A. (2009). “Streamline pattern and salt leaching through progressive flooding between subsurface drains.” Irrig. Drain., 58(2), 199–208.
Qiu, J. (2009). “China cuts methane emissions from rice fields.” Nat. News.
Rao, K. V. G. K., and Leeds-Harrison, P. B. (1991). “Desalination with subsurface drainage.” Agric. Water Manage., 19(4), 303–311.
Rhoades, J. D. (1997a). “Geospatial measurements of soil electrical conductivity to determine soil salinity and diffuse salt-loading from irrigation.” Proc., Joint AGU Chapman Conf./SSSA Outreach Conf. on the Application of GIS, Remote Sensing, Geostatistics, and Solute Transport Modeling to the Assessment of Nonpoint Source Pollutants in the Vadose Zone, American Geophysical Union (AGU), Washington, DC.
Rhoades, J. D. (1997b). “Sustainability of irrigation: An overview of salinity problems and control strategies.” Proc., 1997 Annual Conf. of the Canadian Water Resources Association, Footprints of Humanity: Reflections on Fifty Years of Water Resources Developments, Canadian Water Resources Association (CWRA), Canada.
Ritzema, H. P., Satyanarayana, T. V., Raman, S., and Boonstra, J. (2008). “Subsurface drainage to combat water logging and salinity in irrigated lands in India: Lessons learned in farmer’s field.” Agric. Water Manage., 95(3), 179–189.
Scarborough, J. B. (1966). Numerical mathematical analysis, 6th Ed., Oxford and IBH Publishing Company, New Delhi, India, 203–207.
Schafer, D. C. (1996). “Determining capture zones in homogeneous anisotropic aquifers.” Ground Water, 34(4), 628–639.
Stephens, D. B., and Heermann, S. (1988). “Dependence of anisotropy on saturation in a stratified sand.” Water Resour. Res., 24(5), 770–778.
Toksoz, S., and Kirkham, D. (1971). “Steady drainage of layered soils: I, Theory.” J. Irrig. Drain. Div., 97(IR1), 1–18.
Warrick, A. W., and Kirkham, D. (1969). “Two-dimensional seepage of ponded water to full ditch drains.” Water Resour. Res., 5(3), 685–693.
Youngs, E. G. (1994). “Seepage to ditches from a ponded surface.” J. Hydrol., 161(1–4), 145–154.
Youngs, E. G., and Leeds-Harrison, R. B. (2000). “Improving efficiency of desalinization with subsurface drainage.” J. Irrig. Drain. Eng., 375–380.
Yvon-Durocher, G., et al. (2014). “Methane fluxes show consistent temperature dependence across microbial to ecosystem scale.” Nat. Lett., 507(7493), 488–491.

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Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 141Issue 8August 2015

History

Received: May 5, 2014
Accepted: Nov 21, 2014
Published online: Jan 8, 2015
Discussion open until: Jun 8, 2015
Published in print: Aug 1, 2015

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Authors

Affiliations

Ratan Sarmah [email protected]
Research Scholar, Dept. of Civil Engineering, Indian Institute of Technology Guwahati, Guwahati, Assam 781 039, India. E-mail: [email protected]
Gautam Barua [email protected]
Associate Professor, Dept. of Civil Engineering, Indian Institute of Technology Guwahati, Guwahati, Assam 781 039, India (corresponding author). E-mail: [email protected]

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