Geodesic
The filtration consolidation of an elastic porous medium with discontinuous initial conditions
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 158 (2016) no. 2, pp. 262-275

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The problem of finding the initial conditions of consolidation for an elastic medium is solved in a general way; the Laplace equation is obtained for the water pressure. The problem of filtration consolidation for an infinite porous tube with circular symmetry is solved taking into account the found initial conditions: a solution for the pressure is described by the diffusion equation. If there is no “hole” at the origin of coordinates, then the water pressure becomes infinitely large.
Keywords: theory of filtration consolidation, elastic porous medium, load, pressure.
Mots-clés : initial conditions 
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     author = {F. M. Kadyrov and A. V. Kosterin},
     title = {The filtration consolidation of an elastic porous medium with discontinuous initial conditions},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {262--275},
     publisher = {mathdoc},
     volume = {158},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2016_158_2_a8/}
}
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F. M. Kadyrov; A. V. Kosterin. The filtration consolidation of an elastic porous medium with discontinuous initial conditions. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 158 (2016) no. 2, pp. 262-275. http://geodesic.mathdoc.fr/item/UZKU_2016_158_2_a8/