On modeling hydraulic fracture in proper variables: Stiffness, accuracy, sensitivity

Gennady Mishuris*, Michał Wróbel, Alexander Linkov

*Awdur cyfatebol y gwaith hwn

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

34 Dyfyniadau(SciVal)

Crynodeb

The problem of hydraulic fracture propagation is considered by using its recently suggested modified formulation in terms of the particle velocity, the opening in the proper degree, appropriate spatial coordinates and e-regularization. We show that the formulation may serve for significant increasing the efficiency of numerical tracing the fracture propagation. Its advantages are illustrated by re-visiting the Nordgren problem. It is shown that the modified formulation facilitates (i) possibility to have various stiffness of differential equations resulting after spatial discretization, (ii) obtaining highly accurate and stable numerical results with moderate computational effort, and (iii) sensitivity analysis. The exposition is extensively illustrated by numerical examples. 

Iaith wreiddiolSaesneg
Tudalennau (o-i)10-23
Nifer y tudalennau14
CyfnodolynInternational Journal of Engineering Science
Cyfrol61
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - Rhag 2012

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