Productivity analysis of doubly periodic systems of production wells
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2012), pp. 268-270.

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

The article presents a mathematical model, which allows to analyze the productivity of systems of production wells. System of wells is modeled by a flat infinite doubly periodic lattice of point sinks of equal power. Also an analytic representation for the Dietz's shape factor is presented, which agrees with numerical calculations by the method of imaginary producing wells.
Mots-clés : filtration, oil production
Keywords: productivity index.
@article{VSGTU_2012_1_a30,
     author = {P. V. Roters},
     title = {Productivity analysis of doubly periodic systems of production wells},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {268--270},
     publisher = {mathdoc},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2012_1_a30/}
}
TY  - JOUR
AU  - P. V. Roters
TI  - Productivity analysis of doubly periodic systems of production wells
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2012
SP  - 268
EP  - 270
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2012_1_a30/
LA  - ru
ID  - VSGTU_2012_1_a30
ER  - 
%0 Journal Article
%A P. V. Roters
%T Productivity analysis of doubly periodic systems of production wells
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2012
%P 268-270
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGTU_2012_1_a30/
%G ru
%F VSGTU_2012_1_a30
P. V. Roters. Productivity analysis of doubly periodic systems of production wells. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2012), pp. 268-270. http://geodesic.mathdoc.fr/item/VSGTU_2012_1_a30/

[1] Dake L. P., The Practice of Reservoir Engineering, Developments in Petroleum Science, 36, Elsevier, Amsterdam, 2001, 570 pp. ; Deik L. P., Prakticheskii inzhiniring rezervuarov, Institut kompyuternykh issledovanii, NITs «Regulyarnaya i khaoticheskaya dinamika», Moskva–Izhevsk, 2008, 668 pp. | DOI

[2] Dietz D. N., “Determination of Average Recervoir Pressure From Build-Up Surveys”, J. Pet. Technol., 27:8 (1965), 955–959 | DOI

[3] O'Neil K. A., “On the Hamiltonian dynamics of vortex lattices”, J. Math. Phys., 30:6 (1989), 1373–1381 ; O'Neil K. A., “O gamiltonovoi dinamike vikhrevykh reshetok”, Fundamentalnye i prikladnye problemy teorii vikhrei, eds. A. V. Borisov, I. S. Mamaev, M. A. Sokolovskii, Institut kompyuternykh issledovanii, Moskva–Izhevsk, 2003, 336–353 | DOI | MR | MR

[4] Tkachenko V. K., “On vortex lattices”, Sov. Phys. JETP, 22 (1966), 1282–1286

[5] Astafiev V. I., Roters P. V., “Modeling of doubly periodic system for producing wells”, Vestn. SamGU, 2010, no. 78 (4), 5–11

[6] Peaceman D. W., Recalculation of Dietz Shape Factor for Rectangles, Document ID , 1990, 10 pp. 21256-MS