Abstract
An approach is developed to simulate leaching of a dissolved chemical constituent in the vadose zone of an aquifer. Specifically, nitrate loading at the water table for different water table depths, for a range of aquifer permeability values, and for different cases of heterogeneity of the aquifer, are considered. Models from the literature are first used to derive soil–water characteristic curves (water retention and hydraulic conductivity) from a grain size distribution curve for unsaturated conditions. Given infiltration from the surface, the initial conditions for the chemical concentration, and the water content profile, leaching of the chemical in the vadose zone is simulated as a function of both time and depth. The methodology is illustrated for a permeable aquifer. Simulations are undertaken using a finite element code for saturated and unsaturated flow. Different scenarios are simulated depending on the heterogeneity of the aquifer and the depth of the water table. Modeling results show that in the example case studied, nitrate concentration loading at the water table does not depend strongly on the position of the water table, but rather on the material properties of the aquifer. The contribution of this endeavor resides in the methodology which allows a prediction of nitrate leaching using only the grain size property of the aquifer. It allows practitioners to obtain a first assessment of leaching with limited data.
Similar content being viewed by others
References
Arya, L. M., & Paris, J. F. (1981). A physicoempirical model to predict the soil moisture characteristic from particle-size distribution and bulk density data. Soil Science Society of America Journal, 45, 1023–1030.
Assouline, S., Tessier, D., & Burand, A. (1998). A conceptual model of the soil water retention curve. Water Resources Research, 34(2), 223–231.
ASTM. (1998). Standard test method for particle-size analysis of soils (D 422–63). Annual book of ASTM standards. American Society for Testing and Materials (ASTM), Philadelphia, PA.
Aubertin, M., Mbonimpa, M., Bussière, B., & Chapuis, R. P. (2003). A model to predict the water retention curve from basic geotechnical properties. Canadian Geotechnical Journal, 40(6), 1104–1122.
BC Ministry of Agriculture and Food. (2003). Berry production guide for commercial growers 2002/2003. BC Ministry of Agriculture and Food and the Lower Mainland Horticultural Improvement Association, Abbotsford, BC.
Brooks, R. H., & Corey, A. T. (1966). Properties of porous media affecting fluid flow. ASCE Journal of Irrigation and Drainage, 92, 62–88.
Burdine, N. T. (1953). Relative permeability calculations from pore size distribution data. Petroleum Transactions, AIME, 198, 71–77.
Campbell, G. S. (1974). A simple method for determining unsaturated conductivity from moisture retention data. Soil Science, 117, 311–314.
Chapuis, R. P. (2004). Predicting the saturated hydraulic conductivity of sand and gravel using effective diameter and void ratio. Canadian Geotechnical Journal, 41, 787–795.
Childs, E. C. & Collis-George, N. (1950). The permeability of porous materials. Proceedings of the Royal Society, London, 201, 392–405.
Chipperfield, K. (1992). Raspberry field soil nitrate survey. Sustainable Poultry farming Group and Canada, BC Soil Conservation Program.
Elzeftawy, A., & Cartwright, K. (1981). Evaluating the saturated and unsaturated hydraulic conductivity of soils. In T. F. Zimmie & C. D. Riggs (Eds.), Permeability and groundwater contaminant transport, (pp. 168–181) ASTM STP.
Fredlund, D. G., & Xing, A., (1994). Equations for the soil-water characteristic curve. Canadian Geotechnical Journal, 31, 521–532.
Fredlund, D. G., Xing, A., & Huang, S. (1994). Predicting the permeability function for unsaturated soils using the soil-water characteristic curve. Canadian Geotechnical Journal, 31, 533–546.
Geo-slope International Ltd. (2002a). SEEP/W for finite element seepage analysis, version 5: User’s guide. Canada: Calgary.
Geo-slope International Ltd. (2002b). CTRAN/W for finite element contaminant transport analysis, version 5: User’s guide. Canada: Calgary.
Green, R. E., & Corey, J. C. (1971). Calculation of hydraulic conductivity: A further evaluation of some predictive models. Soil Science Society of America Journal, 35, 3–8.
Haverkamp, R., Bouraoui, F., Zammit, C., & Angulo-Jamarillo, R. (1999). Soil properties and moisture movement in the unsaturated zone. In J. W. Delleur (Ed.), The Handbook of ground water engineering. Boca Raton: CRC.
Haverkamp, R., & Parlange, J. W. (1986). Predicting the water-retention curve for a particle-size distribution: 1. Sandy soils without organic matter. Soil Science, 142, 325–339.
Hazen, A. (1911). Discussion of “Dams and sand formations”, by A.C. Koenig. Transactions of the American Society of Civil Engineers, 73, 199–203.
Hii, B., Liebscher, H., Mazalek, M., & Touminen, T. (1999). Groundwater quality and flow rates on the Abbotsford aquifer, British Columbia. Environmental Conservation Branch. (p. 36). Vancouver, BC: Environment Canada.
Hii, B., Zubel, M. Scovill, D. Graham, G. Marsh, S., & Tyson, O. (2005). Abbotsford aquifer, British Columbia, Canada – 2004 Ground Water Quality Survey, nitrate and bacteria. (p. 45) Draft Report: Environment Canada, Vancouver.
Kovács, G. (1981). Seepage hydraulics. Amsterdam: Elsevier.
Kowalenko, C. G. (1994a). Growing season dry matter and macroelement accumulations in Willamette red raspberry and related soil-extractable macroelements. Canadian Journal of Plant Science, 74, 565–571.
Kowalenko, C. G. (1994b). Growing season changes in the concentration and distribution of macroelements in Willamette red raspberry plant parts. Canadian Journal of Plant Science, 74, 833–839.
Kowalenko, C. G., Keng, J. C. W., & Freeman, J. A. (2000). Comparison of nitrogen application via trickle irrigation system with surface banding of granular fertilizer on red raspberry. Canadian Journal of Plant Science, 80, 363–371.
Liebscher, H., Hii, B., McNaughton, D. (1992). Nitrates and pesticides in the Abbotsford aquifer, Southwestern British Columbia, Inland Waters Directorate. (p. 83). North Vancouver, BC: Environment Canada.
Mbonimpa, M., Aubertin, M., Chapuis, R. P., & Bussière, B. (2002). Practical pedotransfer for estimating the saturated hydraulic conductivity. Geotechnical and Geological Engineering, 20(3), 235–259.
McArthur, S., & Allen, D. M. (2005). Abbotsford-Sumas aquifer: Compilation of a Groundwater Chemistry Database with analysis of temporal variations and spatial distributions of nitrate contamination. Report prepared for BC Ministry of Water, Land and Air Protection, Climate Change Branch, Vancouver, BC, 54 pp.
Mouritzen, C. (2000). A survey of residual soil nitrate in raspberry fields locates on the Abbotsford-Sumas aquifer. Chilliwack, BC: Southwestern Crop Consulting.
Mouritzen, C. (2001). A survey of residual soil nitrate in raspberry fields locates on the Abbotsford-Sumas aquifer (year 2). Chilliwack, BC: Southwestern Crop Consulting.
Mouritzen, C. (2002). A survey of residual soil nitrate in raspberry fields locates on the Abbotsford-Sumas aquifer (year 3). Chilliwack, BC: Southwestern Crop Consulting.
Mouritzen, C. (2003). A survey of residual soil nitrate in raspberry fields locates on the Abbotsford-Sumas aquifer (year 4). Chilliwack, BC: Southwestern Crop Consulting.
Mualem, Y. (1976). A new model for predicting the hydraulic conductivity of unsaturated porous media. Water Resources Research, 12, 513–522.
Mualem, Y. (1986). Hydraulic conductivity for unsaturated soils: prediction and formulas. In A. Klute (Ed.), Method of soil analysis, part I: Physical and mineralogical methods. (pp. 799–823). Madison, WI: American Society of Agronomy.
NAVFAC (1974). Soil mechanics, foundations, and earth structures. Naval Facilities Engineering Command (NAVFAC) design manual DM7. Washington, DC: US Government Printing Office.
Rempel, H. G., Strik, B. C., & Righetti, T. L. (2004). Uptake, partitioning, and storage of fertilizer nitrogen in red raspberry as affected by rate and timing of application. Journal of the American Society for Horticultural Science, 129, 439–448.
Richards, L. A. (1931). Capillary conduction of liquids through porous medium. Physics, 1, 318–333.
Scibek, J., & Allen, D. M. (2006). Comparing the responses of two high permeability, unconfined aquifers to predicted climate change. Global and Planetary Change, 50, 50–62.
Van Genuchten, M. T. (1980). A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Science Society of America Journal, 44, 892–898.
Zebarth, B. J., Dean, D. M., Kowalenko, C. G., Paul, J. W., & Chipperfield, K. (2002). Spatial and temporal variation in soil inorganic N concentration, and soil test P and K, in red raspberries and implications for soil sampling strategies. Canadian Journal of Soil Science, 82, 355–364.
Acknowledgments
The authors wish to acknowledge the financial contribution by Environment Canada. Basil Hii from Environment Canada provided the well samples that were used for determining the grain size distribution curves for the aquifer media. Dr. Doug Stead (Simon Fraser University) provided access to equipment for conducting the sieves analyses. Gwyn Graham (BC Ministry of Environment) and Kim Sutherland (BC Ministry of Agriculture and Food) are also acknowledged for contributing local insight.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Chesnaux, R., Allen, D.M. Simulating Nitrate Leaching Profiles in a Highly Permeable Vadose Zone. Environ Model Assess 13, 527–539 (2008). https://doi.org/10.1007/s10666-007-9116-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10666-007-9116-4