Remarks on application of different variables for the PKN model of hydrofracturing: various fluid-flow regimes

P. Kusmierczyk, G. Mishuris, M. Wróbel

Research output: Contribution to journalArticlepeer-review

13 Citations (SciVal)

Abstract

The problem of hydraulic fracture for the PKN model is considered within the framework presented recently by Linkov (Doklady Phys 56(8):436–438, 2011). The modified formulation is further enhanced by employing an improved regularized boundary condition near the crack tip. This increases solution accuracy especially for singular leak-off regimes. A new dependent variable having clear physical sense is introduced. A comprehensive analysis of numerical algorithms based on various dependent variables is provided. Comparison with know numerical results has been given.
Original languageEnglish
Pages (from-to)n/a
JournalInternational Journal of Fracture
Volumen/a
Early online date11 Jul 2013
DOIs
Publication statusPublished - 2013

Keywords

  • Hydraulic fracture
  • Numerical simulations
  • Various leak-off regimes
  • Carter model
  • 74F10
  • 74H15

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