Geodesic
The soil wash-out and filtration consolidation problem taking into account the salt and heat transfer
Matematičeskoe modelirovanie, Tome 24 (2012) no. 11, pp. 97-112

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The mathematical models of the soil filtration consolidation problem with taking into account soil wash-out and salt transfer in on isothermal conditions have been formulated. The suspension flow in the zone of erosion has been taken into account too. A kinematics boundary condition for the border of wash-out region has been deduced. The numerical solutions of the corresponding boundary-value problems have been found by the radial basis functions method. Influence of heat transfer, salt transfer and intensity of soil erosion on fluid pressures has been confirmed by numerical experiments.
Keywords: soil wash-out; filtration consolidation; heat and mass transfer; radial basis function method. 
@article{MM_2012_24_11_a7,
     author = {A. P. Vlasyuk and P. N. Martinyuk},
     title = {The soil wash-out and filtration consolidation problem taking into account the salt and heat transfer},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {97--112},
     publisher = {mathdoc},
     volume = {24},
     number = {11},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2012_24_11_a7/}
}
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A. P. Vlasyuk; P. N. Martinyuk. The soil wash-out and filtration consolidation problem taking into account the salt and heat transfer. Matematičeskoe modelirovanie, Tome 24 (2012) no. 11, pp. 97-112. http://geodesic.mathdoc.fr/item/MM_2012_24_11_a7/