TY - JOUR
T1 - Dynamique d'un dôme piézométrique
T2 - Solutions analytiques et caractéristiques intégrales
AU - Kacimov, A. R.
N1 - Funding Information:
Acknowledgements This research was supported by the Russian Foundation of Fundamental Research, Grant No. 96-0100844-a, and by the International Science Foundation (Russian Government funding body) joint grant No. J72100. The suggestions and comments of two anonymous referees are highly appreciated.
PY - 1997
Y1 - 1997
N2 - Transient water table systems under the influence of decaying groundwater mounds are studied in terms of the Dupuit-Forcheimer approximation, its linearization and linear potential theory. Parabolic mounds spreading and shrinking due to gravity and evapotranspiration are derived from the general class defined by Polubarinova- Kochina (1945). The penetration curves are calculated as characteristics of the water table response at prescribed observation wells. The Polubarinova-Kochina solutions for rectangular mounds are used to derive isochrones, a “resting lens” into which a mound transforms, and a distortion picture of reference volumes. These characteristics are obtained from numerical solution of a system of ordinary differential equation. The plume illustrating the advective spread of a contaminant from a reference area is computed as a composition of all path lines passing through this area.
AB - Transient water table systems under the influence of decaying groundwater mounds are studied in terms of the Dupuit-Forcheimer approximation, its linearization and linear potential theory. Parabolic mounds spreading and shrinking due to gravity and evapotranspiration are derived from the general class defined by Polubarinova- Kochina (1945). The penetration curves are calculated as characteristics of the water table response at prescribed observation wells. The Polubarinova-Kochina solutions for rectangular mounds are used to derive isochrones, a “resting lens” into which a mound transforms, and a distortion picture of reference volumes. These characteristics are obtained from numerical solution of a system of ordinary differential equation. The plume illustrating the advective spread of a contaminant from a reference area is computed as a composition of all path lines passing through this area.
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U2 - 10.1080/02626669709492032
DO - 10.1080/02626669709492032
M3 - Article
AN - SCOPUS:0031156099
SN - 0262-6667
VL - 42
SP - 329
EP - 342
JO - Hydrological Sciences Journal
JF - Hydrological Sciences Journal
IS - 3
ER -