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

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

13 Dyfyniadau (Scopus)

Crynodeb

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.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	n/a
Cyfnodolyn	International Journal of Fracture
Cyfrol	n/a
Dyddiad ar-lein cynnar	11 Gorff 2013
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1007/s10704-013-9867-7
Statws	Cyhoeddwyd - 2013

Mynediad at Ddogfen

10.1007/s10704-013-9867-7

Cysylltiad parhaol

Dolen barhaus

Ffeiliau eraill a chysylltiadau

http://hdl.handle.net/2160/10997

Dyfynnu hyn

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

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.",

keywords = "Hydraulic fracture, Numerical simulations, Various leak-off regimes, Carter model, 74F10, 74H15",

author = "P. Kusmierczyk and G. Mishuris and M. Wr{\'o}bel",

year = "2013",

doi = "10.1007/s10704-013-9867-7",

language = "English",

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journal = "International Journal of Fracture",

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T1 - Remarks on application of different variables for the PKN model of hydrofracturing: various fluid-flow regimes

AU - Kusmierczyk, P.

AU - Mishuris, G.

AU - Wróbel, M.

PY - 2013

Y1 - 2013

N2 - 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.

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

UR - http://hdl.handle.net/2160/10997

U2 - 10.1007/s10704-013-9867-7

DO - 10.1007/s10704-013-9867-7

M3 - Article

SN - 0376-9429

VL - n/a

SP - n/a

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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Mynediad at Ddogfen

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Ffeiliau eraill a chysylltiadau

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