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Technical Papers
Apr 30, 2018

Soil Osmotic Potential and Its Effect on Vapor Flow from a Pervaporative Irrigation Membrane

Publication: Journal of Environmental Engineering
Volume 144, Issue 7

Abstract

Pervaporative irrigation is a membrane technology that can be used for desalination and subsurface irrigation simultaneously. To irrigate, the tube-shaped polymer membrane is buried in soil and filled with water. Because of the membrane transport process, water enters the soil in the vapor phase, drawn across the membrane when the relative humidity in the air-filled pores is low. Soils are typically humid environments; however, the presence of hygroscopic compounds such as fertilizers decreases the humidity. For example, at 20°C the humidity in air in equilibrium above a saturated ammonium nitrate solution is 63%. Here, experiments showed that the presence of fertilizers in sand increased the water flux across the membrane by an order of magnitude. An expression for vapor sorption into sand containing different hygroscopic compounds was developed and combined with a model of vapor and liquid flow in soil. The success of the model in simulating experimental results suggests that the proposed mechanism, adsorption of moisture from the vapor phase by hygroscopic compounds, explains the observed increase in the flux from the irrigation system.

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Acknowledgments

We gratefully acknowledge the EPSRC Imperial College doctoral prize fellowship that supported LCT and the in-kind support of DTI-r Ltd. and DuPont, without which this work would not have been possible. We also thank two anonymous reviewers for their comments and suggestions that helped improve this work.

References

Adams, J. R., and A. R. Merz. 1929. “Hygroscopicity of fertilizer materials and mixtures.” Ind. Eng. Chem. 21 (4): 305–307. https://doi.org/10.1021/ie50232a003.
Arthur, E., M. Tuller, P. Moldrup, D. K. Jensen, and L. W. De Jonge. 2015. “Prediction of clay content from water vapour sorption isotherms considering hysteresis and soil organic matter content.” Eur. J. Soil Sci. 66 (1): 206–217. https://doi.org/10.1111/ejss.12191.
Bolz, R. E., and G. L. Tuve. 1973. Handbook of tables for applied engineering science. 2nd ed. Boca Raton, FL: CRC Press.
Ciocca, F., I. Lunati, and M. B. Parlange. 2014. “Effects of the water retention curve on evaporation from arid soils.” Geophys. Res. Lett. 41 (9): 3110–3116. https://doi.org/10.1002/2014GL059827.
Cochrane, T. T., and T. A. Cochrane. 2005. “Osmotic potential properties of solutes common in the soil-plant solution continuum.” Soil Sci. 170 (6): 433–444. https://doi.org/10.1097/01.ss.0000169916.55850.f3.
Gran, M., J. Carrera, S. Olivella, and M. W. Saaltink. 2011. “Modeling evaporation processes in a saline soil from saturation to oven dry conditions.” Hydrol. Earth Syst. Sci. 15 (7): 2077–2089. https://doi.org/10.5194/hess-15-2077-2011.
Grattoni, A., M. Merlo, and M. Ferrari. 2007. “Osmotic pressure beyond concentration restrictions.” J. Phys. Chem. B. 111 (40): 11770–11775. https://doi.org/10.1021/jp075834j.
Hamer, W. J., and Y. C. Wu. 1972. “Osmotic coefficients and mean activity coefficients of uni-univalent electrolytes in water at 25°C.” J. Phys. Chem. Ref. Data. 1 (4): 1047–1100. https://doi.org/10.1063/1.3253108.
Jensen, D. K., M. Tuller, L. W. de Jonge, E. Arthur, and P. Moldrup. 2015. “A new two-stage approach to predicting the soil water characteristic from saturation to oven-dryness.” J. Hydrol. 521: 498–507. https://doi.org/10.1016/j.jhydrol.2014.12.018.
Khlosi, M., W. M. Cornelis, A. Douaik, M. T. van Genuchten, and D. Gabriels. 2008. “Performance evaluation of models that describe the soil water retention curve between saturation and oven dryness.” Vadose Zone J. 7 (1): 87–96. https://doi.org/10.2136/vzj2007.0099.
Khlosi, M., W. M. Cornelis, D. Gabriels, and G. Sin. 2006. “Simple modification to describe the soil water retention curve between saturation and oven dryness.” Water Resour. Res. 42 (11): W11501. https://doi.org/10.1029/2005WR004699.
Kosugi, K. 1999. “General model for unsaturated hydraulic conductivity for soils with lognormal pore-size distribution.” Soil Sci. Soc. Am. J. 63 (2): 270. https://doi.org/10.2136/sssaj1999.03615995006300020003x.
Lawrence, M. G. 2005. “The relationship between relative humidity and the dewpoint temperature in moist air: A simple conversion and applications.” Bull. Am. Meteorol. Soc. 86 (2): 225–233. https://doi.org/10.1175/BAMS-86-2-225.
Lu, N. 2016. “Generalized soil water retention equation for adsorption and capillarity.” J. Geotech. Geoenviron. Eng. 142 (10): 04016051. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001524.
Lu, S., T. Ren, Y. Gong, and R. Horton. 2008. “Evaluation of three models that describe soil water retention curves from saturation to oven dryness.” Soil Sci. Soc. Am. J. 72 (6): 1542–1546. https://doi.org/10.2136/sssaj2007.0307N.
Marshall, T. J., J. W. Holmes, and C. W. Rose. 1996. Soil physics. 3rd ed. New York: Cambridge University Press.
Mathworks. 2017. “Global optimization toolbox: User’s guide (r2017a).” Accessed August 2, 2017. http://www.mathworks.com/help/pdf_doc/optim/optim_tb.pdf.
Mualem, Y. 1976. “A new model for predicting the hydraulic conductivity of unsaturated porous media.” Water Resour. Res. 12 (3): 513–522. https://doi.org/10.1029/WR012i003p00513.
Muthu, S., and J. A. Brant. 2015. “Interrelationships between flux, membrane properties, and soil water transport in a subsurface pervaporation irrigation system.” Environ. Eng. Sci. 32 (6): 539–550. https://doi.org/10.1089/ees.2014.0519.
Nachshon, U., N. Weisbrod, M. I. Dragila, and A. Grader. 2011. “Combined evaporation and salt precipitation in homogeneous and heterogeneous porous media.” Water Resour. Res. 47 (3): W03513. https://doi.org/10.1029/2010WR009677.
Néel, J. 1995. “Pervaporation.” In Membrane separations technology: Principles and applications. 1st ed., edited by R. D. Noble and S. A. Stern, 143–212. Amsterdam: Elsevier.
Paterson, E., T. Gebbing, C. Abel, A. Sim, and G. Telfer. 2007. “Rhizodeposition shapes rhizosphere microbial community structure in organic soil.” New Phytol. 173 (3): 600–610. https://doi.org/10.1111/j.1469-8137.2006.01931.x.
Peters, A. 2013. “Simple consistent models for water retention and hydraulic conductivity in the complete moisture range.” Water Resour. Res. 49 (10): 6765–6780. https://doi.org/10.1002/wrcr.20548.
Quiñones-Bolaños, E., and H. Zhou. 2006. “Modeling water movement and flux from membrane pervaporation systems for wastewater microirrigation.” J. Environ. Eng. 132 (9): 1011–1018. https://doi.org/10.1061/(ASCE)0733-9372(2006)132:9(1011).
Rossi, C., and J. R. Nimmo. 1994. “Modeling of soil water retention from saturation to oven dryness.” Water Resour. Res. 30 (3): 701–708. https://doi.org/10.1029/93WR03238.
Scatchard, G., W. J. Hamer, and S. E. Wood. 1938. “Isotonic solutions. I. The chemical potential of water in aqueous solutions of sodium chloride, potassium chloride, sulphuric acid, sucrose, urea and glycerol at 25°C.” J. Am. Chem. Soc. 60 (12): 3061–3070. https://doi.org/10.1021/ja01279a066.
Shampine, L. F., and M. W. Reichelt. 1997. “The MATLAB ODE suite.” SIAM J. Sci. Comput. 18 (1): 1–22. https://doi.org/10.1137/S1064827594276424.
Sule, M., J. Jiang, M. Templeton, E. Huth, J. Brant, and T. Bond. 2013. “Salt rejection and water flux through a tubular pervaporative polymer membrane designed for irrigation applications.” Environ. Technol. 34 (10): 1329–1339. https://doi.org/10.1080/09593330.2012.746736.
Todman, L. C., A. M. Ireson, A. P. Butler, and M. R. Templeton. 2013a. “Modeling vapor flow from a pervaporative irrigation system.” Vadose Zone J. 12 (4), in press. https://doi.org/10.2136/vzj2013.05.0079.
Todman, L. C., A. M. Ireson, A. P. Butler, and M. R. Templeton. 2013b. “Water vapor transport in soils from a pervaporative irrigation system.” J. Environ. Eng. 139 (8): 1062–1069. https://doi.org/10.1061/(ASCE)EE.1943-7870.0000715.
van Genuchten, M. T. 1980. “A closed-form equation for predicting the hydraulic conductivity of unsaturated soils.” Soil Sci. Soc. Am. J. 44 (5): 892–898. https://doi.org/10.2136/sssaj1980.03615995004400050002x.

Information & Authors

Information

Published In

Go to Journal of Environmental Engineering
Journal of Environmental Engineering
Volume 144Issue 7July 2018

History

Received: May 2, 2017
Accepted: Dec 8, 2017
Published online: Apr 30, 2018
Published in print: Jul 1, 2018
Discussion open until: Sep 30, 2018

Authors

Affiliations

Lindsay C. Todman [email protected]
Postdoctoral Research Associate, Civil and Environmental Engineering Dept., Imperial College London, South Kensington, London SW7 2AZ, UK; presently, Lecturer in Agricultural Modeling, School of Agriculture, Policy and Development, Univ. of Reading, Reading, Berkshire RG6 6AH, UK (corresponding author). Email: [email protected]
Anaïs Chhang [email protected]
M.Sc. Student, Civil and Environmental Engineering Dept., Imperial College London, South Kensington, London SW7 2AZ, UK. Email: [email protected]
Hannah J. Riordan [email protected]
M.Eng. Student, Civil and Environmental Engineering Dept., Imperial College London, South Kensington, London SW7 2AZ, UK. Email: [email protected]
Dawn Brooks [email protected]
M.Sci. Student, Dept. of Earth Science and Engineering, Imperial College London, South Kensington, London SW7 2AZ, UK. Email: [email protected]
Adrian P. Butler [email protected]
Reader in Subsurface Hydrology, Civil and Environmental Engineering Dept., Imperial College London, South Kensington, London SW7 2AZ, UK. Email: [email protected]
Michael R. Templeton [email protected]
Reader in Public Health Engineering, Civil and Environmental Engineering Dept., Imperial College London, South Kensington, London SW7 2AZ, UK. Email: [email protected]

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