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Title: Remarks on application of different variables for the PKN model of hydrofracturing: various fluid-flow regimes.
Authors: Kusmierczyk, P.; Mishuris, G.; Wrobel, M.
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.
Subjects: FRACTURE mechanics; MATHEMATICAL variables; FLUID mechanics; THREE-dimensional display systems; ACCURACY; HYDRAULIC fracturing; HYDRAULIC engineering
Publication: International Journal of Fracture, 2013, Vol 184, Issue 1/2, p185
ISSN: 0376-9429
Publication type: Academic Journal
DOI: 10.1007/s10704-013-9867-7

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