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Analysis of power-law self-similar solutions to the problem of hydraulic fracture crack formation

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Moscow University Mechanics Bulletin Aims and scope

Abstract

The problem of hydraulic fracture crack propagation in a porous medium is studied in the approximation of small crack opening and the inertialess flow of an incompressible Newtonian hydraulic fracturing fluid inside the crack. A one-parameter family of power-law self-similar solutions is considered in order to determine the crack width evolution, the fluid velocity in the crack, and the seepage depth in the case of high and low seepage rates through the soil when a fluid flow rate is given at the crack inlet.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119899, Russia

    N. N. Smirnov & V. R. Tagirova

Authors
  1. N. N. Smirnov
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  2. V. R. Tagirova
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Smirnov, N.N., Tagirova, V.R. Analysis of power-law self-similar solutions to the problem of hydraulic fracture crack formation. Moscow Univ. Mech. Bull. 62, 13–20 (2007). https://doi.org/10.3103/S0027133007010037

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  • DOI: https://doi.org/10.3103/S0027133007010037

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