Sampling-based stochastic analysis of the PKN model for hydraulic fracturing

DOI10.1007/s10596-018-9784-yzbMath1411.76160OpenAlexW2900565170MaRDI QIDQ1741643

Pedro Díez, Hasini Garikapati, Sergio Zlotnik, Clemens V. Verhoosel, E. Harald Van Brummelen

Publication date: 6 May 2019

Published in: Computational Geosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10596-018-9784-y

zbMATH Keywords

finite element methodsensitivity analysisrandom fieldsstochastic analysisMonte-Carlo methodhydraulic fracturingmoving-boundary problemPerkins-Kern-Nordgren model

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Flows in porous media; filtration; seepage (76S05) Stochastic analysis applied to problems in fluid mechanics (76M35)

Cites Work

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• Self-similar solution of a plane-strain fracture driven by a power-law fluid
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• An extended finite element method for hydraulic fracture problems
• A combined finite‐discrete element method in transient dynamics of fracturing solids
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