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

P. Kusmierczyk; G. Mishuris; M. Wróbel

doi:10.1007/s10704-013-9867-7

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 journal › Article › peer-review

13 Citations (Scopus)

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 language	English
Pages (from-to)	n/a
Journal	International Journal of Fracture
Volume	n/a
Early online date	11 Jul 2013
DOIs	https://doi.org/10.1007/s10704-013-9867-7
Publication status	Published - 2013

Keywords

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

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AB - 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.

KW - Hydraulic fracture

KW - Numerical simulations

KW - Various leak-off regimes

KW - Carter model

KW - 74F10

KW - 74H15

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JO - International Journal of Fracture

JF - International Journal of Fracture

ER -

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

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Keywords

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