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A Contribution to Simplified Models of Field Solute Transport¹

ABSTRACT

Based on mass conservation of water and solute, general one-dimensional theory is given for predicting change in mean solute penetration or depth of solute peak () for solutes which undergo no processes other than convection, dispersion, and diffusion. Assuming a soil drains to a field capacity at which the volumetric water content is f, the theory shows that d/dt = q/_fc, where q is the volume flux density of solution past the depth, .

For convenience of calculation, this theory is also cast in discontinuous form, allowing calculation of for any known sequence of infiltration and evapotranspiration events where _fc is also known as a function of depth. This theory was applied to data from two different field experiments employing undisturbed and back-filled lysimeters, respectively. Predicted time of emergence in the percolate from the lysimeters of the solute peak resulting from fertilizers applied to the surface was compared with observation. Agreement between the two was obtained within the limits of experimental uncertainty.

Key Words: NO₃ leaching • lysimeters • deterministic model • N labelled-fertilizer

¹ Contribution of the USDA, Agricultural Research Service, and the School of Australian Environmental Studies, Griffith University, Brisbane, Australia, 4111, in cooperation with the Texas Agric. Exp. Stn., Texas A&M University, College Station, TX 77840.

² Visiting Scientist (from Sch. of Australian Environ. Studies, Griffith Univ.), Soil Scientist, Hydraulic Engineer, and Soil Scientist, respectively, USDA-ARS, Grassland, Soil, and Water Res. Lab., Temple, TX 76503.

Received for publication June 12, 1980.