Quantifying fate and transport of nitrate in saturated soil systems using fractional derivative model

Lu, Bingqing1; Liu, Xiaoting2; Dong, Peiyao3; Tick, Geoffrey R.1; Zheng, Chunmiao3; Zhang, Yong1; Mahmood-UI-Hassan, Muhammad4; Bai, Hongjuan5; Lamy, Edvina6

2020

10.1016/j.apm.2019.12.005

APPLIED MATHEMATICAL MODELLING   影响因子和分区

0307-904X

1872-8480

Natural soil systems usually exhibit complex properties such as fractal geometry, resulting in complex dynamics for the movement of solutes and colloids in soils, such as the well-documented non-Fickian or anomalous diffusion for contaminant transport in saturated soils. The development of robust mathematical models to simulate anomalous diffusion for reactive contaminants at all relevant scales presents a contemporary problem in computational hydrology. This study aims to develop and validate a novel fractional derivative, advection-dispersion-reaction equation (fADRE) with first order decay to quantify nitrate contaminants transport in various soil systems. As an essential nutrient for crop growth, nitrogen in various forms (i.e., fertilizers) is typically applied to agricultural plots but a certain fraction or excess that is converted to nitrate or nitrite will serve as a critical pollutant to surface-water and groundwater. Applications show that the fADRE model can consider both hydrological and biogeochemical processes describing the fate and transport of nitrate in saturated soil. Here "fate" is a commonly used terminology in hydrology to describe the transformation and destination of pollutants in surface and subsurface water systems. The model is tested and validated using the results from three independent studies including: (1) nitrate transport in natural soil columns collected from the North China Plain agricultural pollution zone, (2) nitrate leaching from aridisols and entisols soil columns, and (3) two bacteria (Escherichia coli and Klebsiella sp.) transport through saturated soil columns. The qualitative relationship between model parameters and the target system properties (including soil physical properties, experimental conditions, and nitrate/bacteria physical and chemical properties) is also explored in detail, as well as the impact of chemical reactions on nitrate transport and fate dynamics. Results show that the fADRE can be a reliable mathematical model to quantify non-Fickian and reactive transport of chemicals in various soil systems, and it can also be used to describe other biological degradation and decay processes in soil. Hence, the mathematical model proposed by this study may help provide valuable insight on the quantification of various biogeochemical dynamics in complex soil systems, but needs to be tested in real-world applications in the future.
© 2019

Soil systems Fractional model Nitrate transport Non-Fickian diffusion Reaction

EI ; SCI

英语

其他

National Natural Science Foundation of China[41628202]

Engineering ; Mathematics ; Mechanics

Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics

WOS:000521509900017

Elsevier Inc.

20200207990061

Agriculture ; Biogeochemistry ; Contamination ; Diffusion in solids ; Dynamics ; Escherichia coli ; Fractals ; Groundwater ; Groundwater pollution ; Hydrology ; Nitrates ; Nitrogen fertilizers ; River pollution ; Soils ; Sols ; Surface waters ; Water treatment

Surface Water:444.1 ; Groundwater:444.2 ; Water Treatment Techniques:445.1 ; Water Pollution:453 ; Geochemistry:481.2 ; Soils and Soil Mechanics:483.1 ; Chemical Products Generally:804 ; Inorganic Compounds:804.2 ; Agricultural Equipment and Methods; Vegetation and Pest Control:821 ; Mathematics:921

ENGINEERING

EV Compendex

1.Department of Geological Sciences, University of Alabama, Tuscaloosa; AL; 35487, United States
2.Department of Engineering Mechanics, Hohai University, Nanjing; Jiangsu; 210098, China
3.Guangdong Provincial Key Laboratory of Soil and Groundwater Pollution Control, School of Environmental Science and Engineering, Southern University of Science and Technology, Shenzhen; 518055, China
4.Institute of Natural Resources and Environmental Sciences, National Agricultural Research Center, Islamabad; 44000, Pakistan
5.School of Chemistry and Chemical Engineering, Henan University of Technology, Zhengzhou; Henan; 450001, China
6.Département de Génie des Procédés Industriels, EA 4297 TIMR (UTC/ESCOM), Université de Technologie de Compiègne, Alliance Sorbonne Université, France

Lu, Bingqing,Liu, Xiaoting,Dong, Peiyao,et al. Quantifying fate and transport of nitrate in saturated soil systems using fractional derivative model[J]. APPLIED MATHEMATICAL MODELLING,2020,81:279-295.

Lu, Bingqing.,Liu, Xiaoting.,Dong, Peiyao.,Tick, Geoffrey R..,Zheng, Chunmiao.,...&Lamy, Edvina.(2020).Quantifying fate and transport of nitrate in saturated soil systems using fractional derivative model.APPLIED MATHEMATICAL MODELLING,81,279-295.

Lu, Bingqing,et al."Quantifying fate and transport of nitrate in saturated soil systems using fractional derivative model".APPLIED MATHEMATICAL MODELLING 81(2020):279-295.