Scholarly record
MATHEMATICAL MODELLING OF SALT SOLUTIONS FILTRATION AND OF MOISTURE TRANSFER IN SATURATED-NON-SATURATED SOIL MASS UNDER THE ACTION OF VERTICAL DRAINAGE
Abstract
The development of dangerous hydrogeological processes takes place as a result of the action of climatic factors and of unfavourable technogenic conditions. One of the reasons of the worsening quality of land resources is the salination of soils by chemical compounds (chlorides, sulphides, carbonates) from ground and surface waters and the non-rational irrigation which results in worsening useful properties of soil. With the aim of decreasing or avoiding soils salination hydro-ameliorative measures are used which include the creation of drainage systems through which the removal takes place of salt solutions from salinated soils. The construction of relevant mathematical models permits to adequately describe the hydrodynamics of the filtration of underground waters and moisture transfer for solving important problems of underground hydrodynamics. With this aim the mathematical modelling was carried out of the process of salt solutions filtration and of moisture transfer in saturated-non-saturated soil mass under the action of vertical drainage system in a two-dimensional case. The computing algorithm is built for solving the set boundary problem and its programmic implementation was realized. As a result of carrying out numeric experiments the dynamics was determined of the salt transfer process taking into account processes of salt solutions filtration and of moisture transfer in saturated-non-saturated soil under the action of the vertical drainage which is urgent in using drainage in the capacity of a drainage or irrigation element in hydroameliorative systems and with the aim of improving resources of fertile soils by way of discharging salt solutions and pollutions from soil medium.
Publication Impact Profile
Publication details
References7
Verigin N. N., Sherzhukov B. S. Diffusion and mass transfer during filtration of fluids in porous media, The Status of Investigations on the Theory of Filtration in the USSR (1917–1967) [in Russian], Moscow, 1969, pp. 237-313;
Childs E. C., Wiley J. An introduction to the physical basis of soil water phenomena, London, 1969, 506 p.;
Reks L.M. Systematic studies of ameliorative processes and systems [in Russian], Moscow, 1995, pp. 122;
Sergienko I. V., Skopetskii V. V., Deineka V. S. Mathematical Simulation and Investigation of Processes in Inhomogeneous Media [in Russian], Kiev, 1991, 432 p.;
Vlasyuk A. P., Tsvetkova T. P. Mathematical Simulation of the Transport of Salt in the Case of Filtration and Moisture Transfer in Saturated-Unsaturated Soils in a Moistening Regime, Journal of Engineering Physics and Thermophysics, vol. 156, N. 1, Eds. Springer US, New York, 2015, pp. 1062-1073;
Samarskii A. A., Gulin A.V.. Numerical Methods [in Russian], Moscow, 1989, 432 p.;
Vlasyuk A. P., Drozdovskiy T. A. Numerical conformal mapping generating of multiconnected domain with complicated geometrical boundary, Bulletin of Taras Shevchenko National University of Kiev, Series Physics&Mathematics, 2015, pp. 79-88.
View or Download full articleAccess options
SWS access login
Login as SWS Scientific CommitteeLogin as SWS Scientific PartnerLogin as SWS AuthorAuthors and approved SWS contributors will read and export their own linked papers after identity matching by SWS profile, email and SGEM GlobalID.
For librarian assistance: [email protected]
Purchase Instant Access
- Article can be downloaded after successful payment.
- Article may be used according to SWS library access terms.
- Article cannot be redistributed.


