Solution of a problem of a seepage fields distribution into infinite porous massif with two circular inclusions
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 2, pp. 109-123
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A closed solution to the problem on 2-D seepage flow in a heterogeneous three-component porous medium is presented. The medium is composed of an infinite matrix and two isotropic circular inclusions, placed in the medium without intersections of the corresponding circumferences. The limiting cases of touching circumferences as well as the degeneration of one circumference into a straight line are studied. The solutions are obtained in the form of infinite series, whose convergence is investigated and the truncated terms are estimated. Summation of the series is carried out in the form of elementary functions for the limiting cases when the inclusion hydraulic conductivity is 0 or $\infty$.
@article{UZKU_2006_148_2_a10,
author = {Yu. V. Obnosov},
title = {Solution of a~problem of a~seepage fields distribution into infinite porous massif with two circular inclusions},
journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
pages = {109--123},
publisher = {mathdoc},
volume = {148},
number = {2},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/UZKU_2006_148_2_a10/}
}
TY - JOUR AU - Yu. V. Obnosov TI - Solution of a problem of a seepage fields distribution into infinite porous massif with two circular inclusions JO - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki PY - 2006 SP - 109 EP - 123 VL - 148 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UZKU_2006_148_2_a10/ LA - ru ID - UZKU_2006_148_2_a10 ER -
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Yu. V. Obnosov. Solution of a problem of a seepage fields distribution into infinite porous massif with two circular inclusions. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 2, pp. 109-123. http://geodesic.mathdoc.fr/item/UZKU_2006_148_2_a10/