Geodesic
Modeling of the fluid filtration for hydraulic fracture conditions
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2007), pp. 128-132.

Voir la notice de l'article provenant de la source Math-Net.Ru

We research the process of fluid filtration to bore under the hydraulic fracture conditions. This fracture is presented as the thin ellipsis crossing the bore. Use the theory of complex- valued functions allows finding the accurate solution of this problem and obtaining the analytic expression for the skin factor value which shows the influence of hydraulic fracture on well efficiency. In conclusion we introduce the simple formulation of this problem, when the hydraulic fracture is presented as zero-thickness notch having the finite conductivity. 
@article{VSGTU_2007_2_a18,
     author = {V. I. Astaf'ev and G. D. Fedorchenko},
     title = {Modeling of the fluid filtration for hydraulic fracture conditions},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {128--132},
     publisher = {mathdoc},
     number = {2},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2007_2_a18/}
}
TY  - JOUR
AU  - V. I. Astaf'ev
AU  - G. D. Fedorchenko
TI  - Modeling of the fluid filtration for hydraulic fracture conditions
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2007
SP  - 128
EP  - 132
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2007_2_a18/
LA  - ru
ID  - VSGTU_2007_2_a18
ER  - 
%0 Journal Article
%A V. I. Astaf'ev
%A G. D. Fedorchenko
%T Modeling of the fluid filtration for hydraulic fracture conditions
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2007
%P 128-132
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGTU_2007_2_a18/
%G ru
%F VSGTU_2007_2_a18
V. I. Astaf'ev; G. D. Fedorchenko. Modeling of the fluid filtration for hydraulic fracture conditions. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2007), pp. 128-132. http://geodesic.mathdoc.fr/item/VSGTU_2007_2_a18/

[1] Kanevskaya R. D., Matematicheskoe modelirovanie razrabotki mestorozhdenii nefti i gaza s primeneniem gidravlicheskogo razryva plasta, Nedra, M., 1999

[2] Aziz Kh.,Settari E., Matematicheskoe modelirovanie plastovykh sistem, In-t kompyuter. issled., M.-Izhevsk, 2004

[3] Mukerdzhi Kh., Proizvoditelnost skvazhin, Schlumberger, M., 2001

[4] Prats M., “Effect of Vertical Fractures on Reservoir Behavior-Incompressible Fluid Case”, SPE J., 1961, no. 1, 105–118

[5] W. Mc. Guire, “The Effect of Vertical Fractures on Well Productivity”, J. of Petroleum Technology, 1960, no. 12, 72–74