Effects of Perforation Geometry on Pipe Drainage in Agricultural Lands
Publication: Journal of Irrigation and Drainage Engineering
Volume 146, Issue 7
Abstract
Corrugated high density polyethylene pipes, where groundwater enters through perforations on the pipe wall, are widely used in subsurface drainage systems on agricultural lands. There has been a growing interest in using circular holes in the valleys of corrugated pipes to improve the hydraulic performance of subsurface drains. However, the effects of these circular perforations on the entrance resistance (), delivery ratio (), drain spacing, and water table drawdown have not been adequately investigated for corrugated pipes. This study uses a numerical model, calibrated with datasets from sand tank experiments, to simulate the effects of perforation shape, size, and configuration on and . The results show that in corrugated pipes with circular holes is 20% lower than that for plain wall pipes with the same perforation configuration. Perforations shaped as rectangular slots have half the of circular holes with the same surface area. It is concluded that the use of rectangular slots is hydraulically more advantageous than circular holes in the valleys of corrugated pipes.
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Data Availability Statement
All data, model, and code generated or used during the study appear in the published article.
Acknowledgments
Funding for this research was provided by the Natural Science and Engineering Research Council of Canada (NSERC) and the James McGill Professor research award held by C. A. Madramootoo. The authors would like to thank the students in the Water Innovation Lab for assisting with the set-up of the sand tank facility and all laboratory testing. The authors are also grateful for the reviewers’ comments during the review process.
References
AHDB (Agriculture and Horticulture Development Board). 2018. Field drainage guide: Principles, installations and maintenance. Warwickshire, UK: AHDB.
Box, G. E. P., and D. R. Cox. 1964. “An analysis of transformations.” J. R. Stat. Soc. Ser. B 26 (2): 211–252. https://doi.org/10.1111/j.2517-6161.1964.tb00553.x.
Brachman, R. W. I., and R. P. Krushelnitzky. 2002. “Stress concentrations around circular holes in perforated drainage pipes.” Geosynthetics Int. 9 (2): 189–213. https://doi.org/10.1680/gein.9.0215.
Bravo, N. J., and G. O. Schwab. 1977. “Effect of openings on inflow into corrugated drains.” Trans. ASABE 20 (1): 100–104. https://doi.org/10.13031/2013.35500.
Chapuis, R. P. 2012. “Predicting the saturated hydraulic conductivity of soils: A review.” Bull. Eng. Geol. Environ. 71 (3): 401–434. https://doi.org/10.1007/s10064-012-0418-7.
Chapuis, R. P., and M. Aubertin. 2003. “On the use of the Kozeny-Carman equation to predict the hydraulic conductivity of soils.” Can. Geotech. J. 40 (3): 616–628. https://doi.org/10.1139/t03-013.
Chapuis, R. P., and P. P. Légaré. 1992. “A simple method for determining the surface area of the fine aggregates and fillers in bituminous mixtures.” In Vol. 1147 of Effects of aggregates and mineral fillers on asphalt mixture performance, 177–186. West Conshohocken, PA: ASTM.
Childs, E. C., and E. G. Youngs. 1958. “The nature of the drain channel as a factor in the design of a land-drainage system.” J. Soil Sci. 9 (2): 316–331. https://doi.org/10.1111/j.1365-2389.1958.tb01923.x.
Cihan, A., and J. Tyner. 2011. “2-D radial analytical solutions for solute transport in a dual-porosity medium.” Water Resour. Res. 47 (4): W04507. https://doi.org/10.1029/2009WR008969.
COMSOL Multiphysics. 2017a. COMSOL multiphysics v. 5.3a: Reference manual. Stockholm, Sweden: COMSOL AB.
COMSOL Multiphysics. 2017b. COMSOL multipyhsics v. 5.3a: Subsurface flow module: User’s guide. Stockholm, Sweden: COMSOL AB.
Das, B. M. 2007. Fundamentals of geotechnical engineering. 3rd ed. Madrid, Spain: CL Engineering.
Dennis, C. W., and B. D. Trafford. 1975. “The effect of permeable surrounds on the performance of clay field drainage pipes.” J. Hydrol. 24 (3–4): 239–249. https://doi.org/10.1016/0022-1694(75)90083-9.
Dierickx, W. 1980. “Electrolytic analog study of the effect of openings and surrounds of various permeabilities on the performance of field drainage pipes.” Ph.D. thesis, Dept. of Agriculture Engineering, Wageningen Univ.
Dierickx, W. 1983. “Hydraulic gradients near subsurface drains and soil erosion.” Trans. ASAE 26 (5): 1409–1412. https://doi.org/10.13031/2013.34141.
Dierickx, W. 1999. “Non-ideal drains.” In Vol. 38 of Agricultural drainage, edited by R. Skaggs and J. van Schilfgaarde, 297–330. Madison, WI: Madison Publishers.
Dierickx, W., and W. H. Van Der Molen. 1981. “Effect of perforation shape and pattern on the performance of drain pipes.” Agric. Water Manage. 4 (4): 429–443. https://doi.org/10.1016/0378-3774(81)90031-7.
Hazenberg, G., and U. S. Panu. 1991a. “Analysis of flow into draintile in three-dimensional flow field.” J. Hydrol. 122 (1–4): 321–333. https://doi.org/10.1016/0022-1694(91)90186-L.
Hazenberg, G., and U. S. Panu. 1991b. “Theoretical analysis of flow rate into perforated drain tubes.” Water Resour. Res. 27 (7): 1411–1418. https://doi.org/10.1029/91WR00779.
Huffman, R. L., D. D. Fangmeier, W. J. Elliot, and S. R. Workman. 2013. Soil and water conservation engineering. 7th ed. St Joseph, MI: American Society of Agricultural and Biological Engineers.
ICID (International Commission on Irrigation and Drainage). 2016. “Irrigation and drainage in the world: A global review: Germany.” Accessed April 4, 2019. http://icid.org/cp_country.php?CID=32#cp.
Kirkham, D., and G. O. Schwab. 1951. “The effect of circular perforations on flow into subsurface drain tubes. I: Theory.” Agric. Eng. 32 (4): 211–214.
Legates, D. R., and G. J. McCabe. 1999. “Evaluating the use of ‘goodness-of-fit’ measures in hydrologic and hydroclimatic model validation.” Water Resour. Res. 35 (1): 233–241. https://doi.org/10.1029/1998WR900018.
Madramootoo, C. A., W. R. Johnston, J. E. Ayars, R. O. Evans, and N. R. Fausey. 2007. “Agricultural drainage management, quality and disposal issues in North America.” Supplement, Irrig. Drain. 56 (S1): S35–S45. https://doi.org/10.1002/ird.343.
Mbonimpa, M., M. Aubertin, R. P. Chapuis, and B. Bussière. 2002. “Practical pedotransfer functions for estimating the saturated hydraulic conductivity.” Geotech. Geol. Eng. 20 (3): 235–259. https://doi.org/10.1023/A:1016046214724.
Moody, W. T. 1966. “Nonlinear differential equation of drain spacing.” J. Irrig. Drain. Div. 92 (2): 1–10.
Moser, B. K., and G. R. Stevens. 1992. “Homogeneity of variance in the two sample means test.” Am. Stat. 46 (1): 19–21. https://doi.org/10.1080/00031305.1992.10475839.
Myers, R. H., D. C. Montgomery, and C. M. Anderson-Cook. 2009. “Building empirical models, response surface methodology.” In Process and product optimization using designed experiments. 3rd ed., 13–72. Hoboken, NJ: Wiley.
Myers, R. H., D. C. Montgomery, and C. M. Anderson-Cook. 2016. Design of experiments for fitting response surfaces. I. In Response surface methodology: Process and product optimization using designed experiments, 4th ed. Hoboken, NJ: Wiley.
Nash, J. E., and J. V. Sutcliffe. 1970. “River flow forecasting through conceptual models. I: A discussion of principles.” J. Hydrol. 10 (3): 282–290. https://doi.org/10.1016/0022-1694(70)90255-6.
Panu, U. S., and A. Filice. 1992. “Techniques of flow rates into draintubes with circular perforations.” J. Hydrol. 137 (1–4): 57–72. https://doi.org/10.1016/0022-1694(92)90048-Z.
PPI (Plastics Pipe Institute). 2003. Design service life of corrugated HDPE pipe: TR-43/2003. Washington, DC: PPI.
Prasad, S. N., C. V. Alonso, and D. G. DeCoursey. 1981. “Analysis of three-dimensional flows into draintile.” J. Hydrol. 51 (1–4): 295–303. https://doi.org/10.1016/0022-1694(81)90137-2.
Rollin, A. L., R. S. Broughton, and G. F. Bolduc. 1987. “Thin synthetic envelope materials for subsurface drainage tubes.” Geotext. Geomembr. 5 (2): 99–122. https://doi.org/10.1016/0266-1144(87)90050-1.
SAS Institute. 2018. JMP 14 design of experiments guide. Cary, NC: SAS Institute.
Schwab, G. O., and J. L. Fouss. 1999. “Drainage materials.” In Vol. 38 of Agricultural drainage, edited by R. W. Skaggs and J. van Schilfgaarde, 911–926. Madison, WI: Madison Publishers.
Selvadurai, A. P. S. 2000. Partial differential equations in mechanics: Volume 1: Fundamentals, laplace’s equation, diffusion equation, wave equation. Berlin: Springer.
Skaggs, R. W. 1978. “Effect of drain tube opening on water-table drawdown.” J. Irrig. Drain. Div. 104 (IR1): 13–21.
Sneyd, A. D., and R. J. Hosking. 1976. “Seepage flow through homogeneous soil into a row of drain pipes.” J. Hydrol. 30 (1–2): 127–146. https://doi.org/10.1016/0022-1694(76)90094-9.
Stuyt, L. C. P. M., and W. Dierickx. 2006. “Design and performance of materials for subsurface drainage systems in agriculture.” Agric. Water Manage. 86 (1–2): 50–59. https://doi.org/10.1016/j.agwat.2006.06.004.
Stuyt, L. C. P. M., W. Dierickx, and J. M. Beltran. 2005. Materials for subsurface land drainage systems. Rome: Food and Agriculture Organization.
Sugg, Z. 2007. Assessing US farm drainage: Can GIS lead to better estimates of subsurface drainage extents?. Washington, DC: World Resoures Institute.
Van der Ploeg, R. R., R. Horton, and D. Kirkham. 1999. “Steady flow to drains and wells.” In Vol. 38 of Agricultural drainage, edited by R. Skaggs and J. van Schilfgaarde, 213–263. Madison, WI: Madison Publishers.
van Schilfgaarde, J. 1963. “Design of tile drainage for falling water tables.” J. Irrig. Drain. Div. 89 (2): 1–12.
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Journal of Irrigation and Drainage Engineering
Volume 146 • Issue 7 • July 2020
Copyright
©2020 American Society of Civil Engineers.
History
Received: Aug 13, 2019
Accepted: Jan 31, 2020
Published online: May 7, 2020
Published in print: Jul 1, 2020
Discussion open until: Oct 7, 2020
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