Abstract
New analytical solution to the problem of fluid flow in a porous reservoir composed by rectangular blocks is presented. The Muskat linear, five-point, and chess-type patterns of injection-extraction wells (IEW) are obtained as special cases of this solution. Streamlines, isochrones, breakthrough curves are evaluated in terms of the model of pure advection. Effective conductivity of these patterns is obtained explicitly and compared with Muskat's values which occurred to be good approximations of the rigorous formulae. Numerical procedure of particle tracking is verified on the Rankine flow pattern for a pair of IEW placed in an uniform groundwater flow and the Polubarinova-Kochina solution for a pumping well in an aquifer with a circular inhomogeneity. Applications to a network of octogonal honey-comb blocks and filled fractures-orifices are discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 325-351 |
| Number of pages | 27 |
| Journal | Arab Gulf Journal of Scientific Research |
| Volume | 15 |
| Issue number | 2 |
| Publication status | Published - 1997 |
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ASJC Scopus subject areas
- Plant Science
- Aquatic Science
- Ecology
Cite this
Analytical solutions to a problem of sink-source flow in a porous medium. / Kacimov, A. R.; Obnosov, Yu V.
In: Arab Gulf Journal of Scientific Research, Vol. 15, No. 2, 1997, p. 325-351.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Analytical solutions to a problem of sink-source flow in a porous medium
AU - Kacimov, A. R.
AU - Obnosov, Yu V.
PY - 1997
Y1 - 1997
N2 - New analytical solution to the problem of fluid flow in a porous reservoir composed by rectangular blocks is presented. The Muskat linear, five-point, and chess-type patterns of injection-extraction wells (IEW) are obtained as special cases of this solution. Streamlines, isochrones, breakthrough curves are evaluated in terms of the model of pure advection. Effective conductivity of these patterns is obtained explicitly and compared with Muskat's values which occurred to be good approximations of the rigorous formulae. Numerical procedure of particle tracking is verified on the Rankine flow pattern for a pair of IEW placed in an uniform groundwater flow and the Polubarinova-Kochina solution for a pumping well in an aquifer with a circular inhomogeneity. Applications to a network of octogonal honey-comb blocks and filled fractures-orifices are discussed.
AB - New analytical solution to the problem of fluid flow in a porous reservoir composed by rectangular blocks is presented. The Muskat linear, five-point, and chess-type patterns of injection-extraction wells (IEW) are obtained as special cases of this solution. Streamlines, isochrones, breakthrough curves are evaluated in terms of the model of pure advection. Effective conductivity of these patterns is obtained explicitly and compared with Muskat's values which occurred to be good approximations of the rigorous formulae. Numerical procedure of particle tracking is verified on the Rankine flow pattern for a pair of IEW placed in an uniform groundwater flow and the Polubarinova-Kochina solution for a pumping well in an aquifer with a circular inhomogeneity. Applications to a network of octogonal honey-comb blocks and filled fractures-orifices are discussed.
UR - http://www.scopus.com/inward/record.url?scp=0031412694&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0031412694&partnerID=8YFLogxK
M3 - Article
VL - 15
SP - 325
EP - 351
JO - Arab Gulf Journal of Scientific Research
JF - Arab Gulf Journal of Scientific Research
SN - 1015-4442
IS - 2
ER -