1. 西安理工大学水资源研究所,陕西,西安,710048
2. 西安理工大学理学院,陕西,西安,710048
纸质出版:2015
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魏峰, 王全九, 秦新强, 等. 考虑尺度效应的土壤溶质运移动力学特征分析[J]. 水土保持通报, 2015,35(1):42-46.
WEI Feng, WANG Quanjiu, QIN Xinqiang, et al. An Analysis on Dynamic Characteristics of Solute Transport Through Heterogeneous Soils with Scale-dependent Dispersion[J]. Bulletin of Soiland Water Conservation, 2015, 35(1): 42-46.
魏峰, 王全九, 秦新强, 等. 考虑尺度效应的土壤溶质运移动力学特征分析[J]. 水土保持通报, 2015,35(1):42-46. DOI: 10.13961/j.cnki.stbctb.2015.01.009.
WEI Feng, WANG Quanjiu, QIN Xinqiang, et al. An Analysis on Dynamic Characteristics of Solute Transport Through Heterogeneous Soils with Scale-dependent Dispersion[J]. Bulletin of Soiland Water Conservation, 2015, 35(1): 42-46. DOI: 10.13961/j.cnki.stbctb.2015.01.009.
[目的] 为了了解土壤环境中弥散尺度效应、动力学吸附等作用对溶质运移过程的影响。[方法] 应用Laplace变换方法和复变函数理论推得溶质运移动力学模型的解析解。利用De Hoog数值反演方法
验证解析解的正确性
利用解析解分析溶质在土壤中的运移特征。[结果] 解析解的计算结果与反演函数Fourier级数项数2N较大(N=500)时的De Hoog数值计算结果吻合很好;土壤溶质浓度随尺度效应的增强、吸附作用及生物降解作用的减弱而增大;分子扩散、一阶动力学吸附以及吸附相溶质降解作用对溶质运移变化影响较小。[结论] 所推求解析解是正确的;土壤溶质运移的弥散尺度效应
溶质在液相和吸附相间的线性分配作用及溶质在液相中的降解作用是影响土壤溶质运移过程的主要因素。
[Objective] To understand the scale-dependent dispersion and non-equilibrium kinetic adsorption etc. on solute transport in heterogeneous soils.[Methods] An analytical solution of one-dimensional reactive scale-dependent solute transport kinetic model was obtained by Laplace-transform and the inverse transform based on the complex formulation
and was illustrated to be accurate compared with the De Hoog numerical inversion method. Moreover
the distribution regularities of the solute concentration in soil were discussed and the scale effects of soil solute transport
sorption and degradation on the solute transport were analyzed by using the analytical solution.[Results] The calculations of the analytical solution and the De Hoog numerical inversion was in good agreement when inverse function Fourier series number N was 500. The solute concentration increased with the increase of the heterogeneity of soils and the decrease of adsorption and degradation of solute
and it had little change with the molecular diffusivity
first-order kinetic rate process and the degradation of the sorbed phase.[Conclusion] The research confirmed that the scale effects of soil solute transport
the sorption distribution between the two regions and the degradation in the liquid phase play major roles in solute transport through heterogeneous soils.
Van Genuchten M T, Alves W J. Analytical solutions of the one-dimensional convective-dispersive solute transport equation[R]. United States Department of Agriculture, Economic Research Service, 1982.
Ziskind G, Shmueli H, Gitis V. An analytical solution of the convection-dispersion-reaction equation for a finite region with a pulse boundary condition[J]. Chemical Engineering Journal, 2011,167(1):403-408.
Pickens J F, Grisak G E. Modeling of scale-dependent dispersion in hydrogeologic systems[J]. Water Resources Research, 1981,17(6):1701-1711.
Sposito G, Jury W A, Gupta V K. Fundamental problems in the stochastic convection-dispersion model of solute transport in aquifers and field soils[J]. Water Resources Research, 1986,22(1):77-88.
Sharma P K, Srivastava R. Numerical analysis of virus transport through heterogeneous porous media[J]. Journal of Hydro-environment Research, 2011,5(2):93-99.
郑纪勇,邵明安,张兴昌,等.坡地土壤溶质迁移参数的空间变异特性[J].应用生态学报,2005,16(7):1285-1289.
Yates S R. An analytical solution for one-dimensional transport in heterogeneous porous media[J]. Water Resources Research, 1990,26(10):2331-2338.
Huang Kangle, Van Genuchten M T, Zhang Renduo. Exact solutions for one-dimensional transport with asymptotic scale-dependent dispersion[J]. Applied Mathematical Modelling, 1996,20(4):298-308.
张德生,沈冰,沈晋,等.稳态条件下土壤溶质运移的两区模型及其解析解[J].水利学报, 2003,34(10):44-50.
高光耀,冯绍元,霍再林,等.考虑弥散尺度效应的溶质径向运移动力学模型及半解析解[J].水动力学研究与进展:A辑, 2009,24(2):156-163.
De Hoog F R, Knight J H, Stokes A N. An improved method for numerical inversion of Laplace transforms[J]. SIAM Journal on Scientific and Statistical Computing, 1982,3(3):357-366.
Chen Juisheng, Ni Chuenfa, Liang Chingping, et al. Analytical power series solution for contaminant transport with hyperbolic asymptotic distance-dependent dispersivity[J]. Journal of Hydrology, 2008,362(1):142-149.
Kumar A, Jaiswal D K, Kumar N. Analytical solutions to one-dimensional advection-diffusion equation with variable coefficients in semi-infinite media[J]. Journal of Hydrology, 2010,380(3):330-337.
Pérez Guerrero J S, Skaggs T H. Analytical solution for one-dimensional advection-dispersion transport equation with distance-dependent coefficients[J]. Journal of Hydrology, 2010,390(1):57-65.
Magga Z, Tzovolou D N, Theodoropoulou M A, et al. Combining experimental techniques with non-linear numerical models to assess the sorption of pesticides on soils[J]. Journal of Contaminant Hydrology, 2012,129:62-69.
栾茂田,张金利,杨庆.非平衡-非线性吸附情况下填埋场污染物运移分析[J]. 岩土力学,2005,25(12):1855-1861.
Besnard K, de Dreuzy J R, Davy P, et al. A modified Lagrangian-volumes method to simulate nonlinearly and kinetically sorbing solute transport in heterogeneous porous media[J]. Journal of Contaminant Hydrology, 2011(120/121):89-98.
王竹溪,郭敦仁.特殊函数概论[M].北京:北京大学出版社,2012.
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