Abstract
It is shown analytically and confirmed by numerical results that the influence of the initial conditions for the problem of hydraulic fracturing decays over time.
Similar content being viewed by others
References
S. A. Khristianovich and V. P. Zheltov, in Proc. 4thWorld Petroleum Congress (Rome, 1955), pp. 579–586.
T. K. Perkins and L. F. Kern, J. Pet. Tech. 9, 937 (1961).
J. Geertsma and F. de Klerk, J. Pet. Tech. 10, 1571 (1969).
R. P. Nordgren, Soc. Petr. Eng. J. 12 (8), 306 (1972).
D. A. Spence and P. W. Sharp, Proc. Roy Soc. London, Ser. A 400, 289 (1985).
M. G. Mack and N. R. Warpinski, in Reservoir Simulation, 3rd ed. (John Willey & Sons, New York, 2000), pp. 6.1–6.49.
J. Adachi, E. Siebrits, et al., Int. J. Rock Mech. Min. Sci. 44, 739 (2007).
A. M. Linkov, Dokl. Phys. 56 (8), 436 (2011).
A. M. Linkov, Int. J. Eng. Sci. 52, 77 (2012).
G. Mishuris, M. Wrobel, and A. Linkov, Int. J. Eng. Sci. 61, 10 (2012).
A. M. Linkov, J. Appl. Math. Mech. 79 (1), 74 (2015).
J. Adachi and E. Detournay, Int. J. Numer. Anal. Meth. Geomech. 26, 579 (2002).
M. Wrobel and G. Mishuris, Int. J. Eng. Sci. 52, 77 (2012).
L. F. Kemp, Soc. Pet. Eng. J., SPE 4 (5), 287 (1990).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.M. Linkov, 2016, published in Doklady Akademii Nauk, 2016, Vol. 469, No. 3, pp. 299–301.
The article was translated by the author.
Rights and permissions
About this article
Cite this article
Linkov, A.M. On decaying influence of initial conditions in the problem of hydraulic fracturing. Dokl. Phys. 61, 351–353 (2016). https://doi.org/10.1134/S1028335816070119
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1028335816070119