Geodesic
Waterflooding front moving task in dual periodical area: piston-like displacement case
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 10 (2014), pp. 116-129

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Water-oil contact moving task has a high significance in a waterflooding theory: it’s possible to improve oil recovering characteristics due to prediction of flow features for both liquids – oil and water displaced it. There is the simplest mathematical pattern for conjoint oil-water flow presenting: it is called “versicolor” liquids model and it suggests making oil and water physically identical to simplify solving process for water-oil contact moving task. However, another pattern was used in research described in this paper: it is called pistonlike displacement model and it supposes that oil and water physical characteristics, for example, viscosities, may be different. As for the oil-keeping reservoir pattern used in this research it was presented as homogeneous and infinity, with fixed thickness: furthermore its surface was covered by dual periodical lattice included production and injection wells in its cells.
Keywords: waterflooding, piston-like displacement of oil by water, oil-water boundary, flood front, tracing task, singular integral equation, Weierstrass dzetta-function, areal sweep efficiency, waterbreak time. 
@article{VSGU_2014_10_a12,
     author = {V. I. Astafiev and A. E. Kasatkin},
     title = {Waterflooding front moving task in dual periodical area: piston-like displacement case},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {116--129},
     publisher = {mathdoc},
     number = {10},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2014_10_a12/}
}
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V. I. Astafiev; A. E. Kasatkin. Waterflooding front moving task in dual periodical area: piston-like displacement case. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 10 (2014), pp. 116-129. http://geodesic.mathdoc.fr/item/VSGU_2014_10_a12/