Mathematical model of ammonium nitrogen transport with overland flow on a slope after polyacrylamide application

The nutrient loss caused by soil erosion is the main reason for soil degradation and environmental pollution, and polyacrylamide (PAM) as a common soil amendment has a great influence on runoff and erosion processes at the slope. In order to investigate the mechanism of nutrient transport with runoff, a field experiment was conducted and a simple mathematical model was developed in this study. Four PAM application rates (0, 1, 2, and 4 g·m−2) and two rainfall intensities (50 and 80 mm·h−1) were applied in the field experiment. The results revealed that runoff rate of 2 g·m−2 PAM application treatments decreased by 5.3%-10.6% compared with the control groups, but it increased by10.9%-18.7% at 4 g·m−2 PAM application treatments. Polyacrylamide application reduced ammonium nitrogen concentrations of runoff by 10.0% to 44.3% relative to the control groups. The best performance with correlation coefficient (R2) and Nash–Sutcliffe efficiency (NSE) showed that the ammonium transport with runoff could be well described by the proposed model. Furthermore, the model parameter of the depth of the mixing layer (hm) linearly increased with an increase in flow velocity, but exponentially decreased with an increase in PAM application rate.

[1]  J. Parlange,et al.  Rainfall induced chemical transport from soil to runoff: theory and experiments , 2004 .

[2]  Rony Wallach,et al.  A physically based model for predicting solute transfer from soil solution to rainfall-induced runoff water , 1990 .

[3]  Anthony J. Parsons,et al.  Field measurement of the velocity of overland flow using dye tracing , 1986 .

[4]  L Ozdemir.  A LABORATORY AND FIELD INVESTIGATION OF TUNNEL BOREABILITY , 1975 .

[5]  R. A. Young,et al.  ROLE OF RAINFALL IMPACT ON SOIL DETACHMENT AND TRANSPORT , 1973 .

[6]  M. Lado,et al.  Efficacy of dry granular anionic polyacrylamide (PAM) on infiltration, runoff and erosion , 2013 .

[7]  A. Wang,et al.  Interaction effects of polyacrylamide application and slope gradient on potassium and nitrogen losses under simulated rainfall , 2016 .

[8]  P. Vlek,et al.  Mineral nitrogen dynamics in irrigated rice–wheat system under different irrigation and establishment methods and residue levels in arid drylands of Central Asia , 2013 .

[9]  W. P. Miller,et al.  Polyacrylamide effect on infiltration and erosion in furrows , 1996 .

[10]  D. Chittleborough,et al.  Seasonal changes in hydrochemistry along a toposequence of texture-contrast soils , 2002 .

[11]  L. R. Ahuja,et al.  Characterization and Modeling of Chemical Transfer to Runoff , 1986 .

[12]  W. Jury,et al.  Transfer of Chemicals from Soil solution to Surface Runoff: A Diffusion‐based Soil Model , 1988 .

[13]  Xunjun Chen,et al.  Modeling of Experimental Adsorption Isotherm Data , 2015, Inf..

[14]  Robert C. Wolpert,et al.  A Review of the , 1985 .

[15]  S. R. Olsen,et al.  A Method to Determine a Phosphorus Adsorption Maximum of Soils as Measured by the Langmuir Isotherm1 , 1957 .

[16]  L. Wu,et al.  Soil Erosion as Affected by Polyacrylamide Application Under Simulated Furrow Irrigation with Saline Water , 2012 .

[17]  S. Ren,et al.  Efficacy of granular polyacrylamide on runoff, erosion and nitrogen loss at loess slope under rainfall simulation , 2016, Environmental Earth Sciences.

[18]  Haifeng Sun,et al.  Effects of polyacrylamide on soil erosion and nutrient losses from substrate material in steep rocky slope stabilization projects. , 2016, The Science of the total environment.

[19]  A. Piccolo,et al.  Use of humic substances as soil conditioners to increase aggregate stability , 1997 .

[20]  G. Richard,et al.  Estimation of runoff critical shear stress for soil erosion from soil shear strength , 2004 .

[21]  K. Lewandowska.  Comparative studies of rheological properties of polyacrylamide and partially hydrolyzed polyacrylamide solutions , 2007 .

[22]  Laosheng Wu,et al.  An Approximately Semi-Analytical Model for Describing Surface Runoff of Rainwater Over Sloped Land , 2016, Water Resources Management.

[23]  D. Rieke-Zapp,et al.  Rill development and soil erosion: a laboratory study of slope and rainfall intensity , 2010 .

[24]  Alok Kumar,et al.  Effect of polyacrylamide and gypsum on surface runoff, sediment yield and nutrient losses from steep slopes , 2011 .

[25]  A. Floren,et al.  ' " ' " ' " . " ' " " " " " ' " ' " " " " " : ' " 1 , 2001 .

[26]  Robert E. Sojka,et al.  Polyacrylamide in agriculture and environmental land management , 2007 .

[27]  Quanjiu Wang,et al.  A simple model for the transport of soil-dissolved chemicals in runoff by raindrops , 2013 .

[28]  Laosheng Wu,et al.  A mathematical model for the transfer of soil solutes to runoff under water scouring. , 2016, The Science of the total environment.

[29]  J. Parlange,et al.  Investigating raindrop effects on transport of sediment and non-sorbed chemicals from soil to surface runoff , 2005 .

[30]  D. Chittleborough,et al.  Phosphorus transfer in surface runoff from intensive pasture systems at various scales: a review. , 2004, Journal of environmental quality.

[31]  L. Norton,et al.  Coupling mixing zone concept with convection-diffusion equation to predict chemical transfer to surface runoff , 1999 .

[32]  L. M. Gouveia,et al.  Rheology of aqueous solutions of hydrophobically modified polyacrylamides and surfactants , 2007 .

[33]  J. Philip.  THE THEORY OF INFILTRATION: 1. THE INFILTRATION EQUATION AND ITS SOLUTION , 1957 .

[34]  Michele Maggiore,et al.  Theory and experiments , 2008 .

[35]  Laosheng Wu,et al.  Solute Transfer from the Soil Surface to Overland Flow: A Review , 2011 .

[36]  Makoto Tanaka,et al.  Degradation of Polyacrylamide Molecules in Aqueous Solutions by High-speed Stirring , 1975 .

[37]  J. Parlange,et al.  Modeling soil solute release into runoff with infiltration , 2007 .

[38]  M. F. Chow,et al.  Evaluation of surface water quality using multivariate statistical techniques: a case study of Fei-Tsui Reservoir basin, Taiwan , 2015, Environmental Earth Sciences.

[39]  W. J. Stolte,et al.  Soil Detachment in the Physically Based Soil Erosion Process: A Review , 1995 .

[40]  L. R. Ahuja,et al.  The extent and nature of rainfall-soil interaction in the release of soluble chemicals to runoff , 1983 .

[41]  Jian Yu,et al.  Runoff and Interrill Erosion in Sodic Soils Treated with Dry PAM and Phosphogypsum , 2006 .

[42]  Laosheng Wu,et al.  A mathematical model for soil solute transfer into surface runoff as influenced by rainfall detachment. , 2016, The Science of the total environment.

[43]  Y. Zheng,et al.  Determination of the critical flow velocities for erosion-corrosion of passive materials under impingement by NaCl solution containing sand , 2014 .

[44]  D. Flanagan,et al.  Application of polyacrylamide to reduce phosphorus losses from a Chinese purple soil: a laboratory and field investigation. , 2010, Journal of environmental management.

[45]  Laosheng Wu,et al.  A comparison of mathematical models for chemical transfer from soil to surface runoff with the impact of rain , 2016 .

[46]  M. Soupir,et al.  EFFECTIVENESS OF POLYACRYLAMIDE (PAM) IN IMPROVING RUNOFF WATER QUALITY FROM CONSTRUCTION SITES 1 , 2004 .

[47]  P. Vadas,et al.  An empirical model for dissolved phosphorus in runoff from surface-applied fertilizers , 2008 .

[48]  R. G. Menzel,et al.  The depth of rainfall‐runoff‐soil interaction as determined by 32P , 1981 .

[49]  R. Bryan.  Soil erodibility and processes of water erosion on hillslope , 2000 .

[50]  Jian Yu,et al.  Infiltration and Erosion in Soils Treated with Dry PAM and Gypsum , 2003 .

[51]  Thomas J. Trout,et al.  Erosion and sedimentation processes on irrigated fields , 1993 .

[52]  Quanjiu Wang,et al.  A method for estimating the interaction depth of surface soil with simulated rain , 2015 .