Geodesic
Universal approach to the mathematical modeling of the class of technical problems of the afflux of a~fluid to a~crack of hydralic fracturing of formation
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 4 (2009), pp. 107-117

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This work presents the basic application of dimensional analysis to the problem of fluid flow in porous media with finite conductivity fracture complicated by presence of damaged zone around the fracture. Two kinds of fracture damage parameters are studied: a damaged zone width around the fracture and a damaged zone permeability reduction caused by the fracturing fluid loss in the formation. This paper emphasizes that damage effects on well productivity are quite different for different values of dimensionless fracture conductivity, fracture penetration ratio and damage factor. Special type curves for steady-state productivity index can be used to identify different cases when damaged zone influence on well productivity index becomes quite significant.
Keywords: flow in porous media, hydraulic fracturing, damaged zone, dimensional analysis, similarity theory, computational modeling. 
@article{VUU_2009_4_a10,
     author = {A. V. Pestrikov and A. R. Basharov and M. N. Kravchenko},
     title = {Universal approach to the mathematical modeling of the class of technical problems of the afflux of a~fluid to a~crack of hydralic fracturing of formation},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {107--117},
     publisher = {mathdoc},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2009_4_a10/}
}
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A. V. Pestrikov; A. R. Basharov; M. N. Kravchenko. Universal approach to the mathematical modeling of the class of technical problems of the afflux of a~fluid to a~crack of hydralic fracturing of formation. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 4 (2009), pp. 107-117. http://geodesic.mathdoc.fr/item/VUU_2009_4_a10/