Model of influence of landscape vegetation on mass transfer processes

L. D. Romanchuck; T. P. Fedonyuk; R. G. Fedonyuk

doi:10.15421/011731

L. D. Romanchuck Zhytomyr National Agroecologycal University
T. P. Fedonyuk Zhytomyr National Agroecologycal University http://orcid.org/0000-0002-6504-0893
R. G. Fedonyuk Zhytomyr National Agroecologycal University http://orcid.org/0000-0001-8473-1772

Keywords: pollution, soil erosion, porous environment structure, two-phase wind

Abstract

The problem of mass transfer of landscape is an important and urgent problem which has actively been elaborated during the last several decades. In particular, the problem of interaction between two-phase wind flow and landscape vegetation is a key to understanding the evolution of landscape morphology, pollution distribution and soil erosion. In this context the mathematical modeling of mass transfer processes within complex environments is an advanced tool necessary for better understanding of environmental processes. In this article, a mathematical model describing the processes of mass transfer on an inhomogeneous surface in a porous environment has been developed and theoretically investigated. The mechanical impact of boundary surfaces and porous environment structure on a mass transfer process has been considered and included into the model. The mass source function adapted to the specific inhomogeneous domain has been developed and investigated. In this paper we develop a formal framework to reflect correctly the problem of landscape mass transfer within the vegetation by incorporating it into a formal system with a reduced number of dependent variables and simplified boundary conditions. We develop a mathematical model of mass transfer process realized on an inhomogeneous boundary surface. The mechanical impact of boundary surface on the mass transfer process has been considered and taken into account. The mechanical impact of porous environment structure on mass transfer process has also been considered and taken into account. The substance source function has been developed here.

References

Anderson, J. D., & Wendt, J. (1995). Computational fluid dynamics (Vol. 206). McGraw-Hill, New York.

Arora, V. (2002). Modeling vegetation as a dynamic component in soil – vegetation – atmosphere transfer schemes and hydrological models. Reviews of Geophysics, 40(2).

Barabanov, А. T. (2016). Principles of adaptive-landscape generation and development of soil protection agricultural systems. Geography and Natural Resources, 37(2), 106–113.

Berselli, L., Iliescu, T., & Layton, W. J. (2005). Mathematics of large eddy simulation of turbulent flows. Springer Science and Business Media.

Bessagnet, B., Menut, L., Aymoz, G., Chepfer, H., & Vautard, R. (2008). Modeling dust emissions and transport within Europe: The Ukraine March 2007 event. Journal of Geophysical Research: Atmospheres (1984–2012), 113(D15).

Bonan, G. B. (1995). Land-atmosphere interactions for climate system models: coupling biophysical, biogeochemical, and ecosystem dynamical processes. Remote Sensing of Environment, 51(1), 57–73.

Bryant, S. L., & Thompson, K. E. (2001). Theory, modeling and experiment in reactive transport in porous media. Current Opinion in Colloid and Interface Science, 6(3), 217–222.

Capilla, J. E., & Llopis-Albert, C. (2009). Gradual conditioning of non-Gaussian transmissivity fields to flow and mass transport data: 1. Theory. Journal of Hydrology, 371(1), 66–74.

Dejch, M. E., & Zarjankin, A. E. (1984). Gidrogazodinamika [Fliud dina mics]. Energoatomizdat, Moscow (in Russian).

Djunin, V. I., & Korzun, A. V. (2009). Role of regional infiltration recharge sources in the formation of deep fluids and petroliferous basin hydrodynamic zoning. In: Hydrogeodynamics of Oil and Gas Basins Springer Netherlands. pp. 37–45.

Druzhinin, N. I., & Shishkin, A. I. (1989). Matematicheskoe modelirovanie i prognozirovanie zagrjaznenija poverhnostnyh vod sushi. Gidrometeo izdat, Leningrad (in Russian).

El’Darov, E. G., Mamedov, F. V., Gol’Dberg, V. M., & Zaikov, G. E. (1996). A kinetic model of polymer degradation during extrusion. Polymer Degradation and Stability, 51(3), 271–279.

Goudie, A. S. (2009). Dust storms: Recent developments. Journal of Environmental Management, 90(1), 89–94.

Haggerty, R., & Gorelick, S. M. (1998). Modeling mass transfer processes in soil columns with pore-scale heterogeneity. Soil Science Society of America Journal, 62(1), 62–74.

Hendricks, D. W. (2006). Water treatment unit processes: Physical and chemical. CRC Press.

Hoek, G., Beelen, R., De Hoogh, K., Vienneau, D., Gulliver, J., Fischer, P., & Briggs, D. (2008). A review of land-use regression models to assess spatial variation of outdoor air pollution. Atmospheric Environment, 42(33), 7561–7578.

Hritonenko, N., & Yatsenko, Y. (1999). Mathematical modeling in economics, ecology and the environment. Kluwer Academic Publishers, Dordrecht, Boston, London.

Kaimal, J. C., & Finnigan, J. J. (1994). Atmospheric boundary layer flows: Their structure and measurement. Oxford University Press.

Landau, L. D., & Lifshitz, E. M. (2013). Course of theoretical physics. Elsevier.

Miller, C. T., Dawson, C. N., Farthing, M. W., Hou, T. Y., Huang, J., Kees, C. E., & Langtangen, H. P. (2013). Numerical simulation of water resources problems: Models, methods, and trends. Advances in Water Resources, 51, 405–437.

Prentice, I. C., Bondeau, A., Cramer, W., Harrison, S. P., Hickler, T., Lucht, W., & Sykes, M. T. (2007). Dynamic global vegetation modeling: Quantifying terrestrial ecosystem responses to large-scale environmental change. In: Terrestrial Ecosystems in a Changing World Springer, Berlin, Heidelberg. P. 175–192.

Van Oost, K., Govers, G., & Desmet, P. (2000). Evaluating the effects of changes in landscape structure on soil erosion by water and tillage. Landscape Ecology, 15(6), 577–589.

Boardman, W. J., & Favis-Mortlock, D. (1998). Modelling soil erosion by water. In: Modelling Soil Erosion by Water. Springer, Berlin, Heidelberg. P. 3–6.