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

Hydraulic fracturing processes are surrounded by uncertainty, as available data is typically scant. In this work, we present a sampling-based stochastic analysis of the hydraulic fracturing process by considering various system parameters to be random. Our analysis is based on the Perkins-Kern-Nordg...

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Bibliographic Details
Published in:	Computational geosciences Vol. 23; no. 1; pp. 81 - 105
Main Authors:	Garikapati, Hasini, Verhoosel, Clemens V., van Brummelen, E. Harald, Zlotnik, Sergio, Díez, Pedro
Format:	Journal Article Publication
Language:	English
Published:	Cham Springer International Publishing 01.02.2019 Springer Nature B.V
Subjects:	49 Calculus of variations and optimal control; optimization 49Q Manifolds 58 Global analysis, analysis on manifolds 58J Partial differential equations on manifolds; differential operators 60 Probability theory and stochastic processes 60H Stochastic analysis Analysis Anàlisi estocàstica Classificació AMS Computation Computer simulation Differential equations, Partial Earth and Environmental Science Earth Sciences Elastic properties Equacions diferencials parcials Equation of continuity Finite element method Geometria Geotechnical Engineering & Applied Earth Sciences Hydraulic fracturing Hydrogeology Investigació operativa Iterative methods Iterative solution Lagrange multiplier Manifolds (Mathematics) Matemàtiques i estadística Mathematical Modeling and Industrial Mathematics Mathematical models Monte Carlo simulation Monte-Carlo method Moving-boundary problem Optimització Original Paper Parameters Perkins-Kern-Nordgren model Pollution Probabilitat Random fields Random variables Sampling Sensitivity analysis Soil Science & Conservation Solution space Solutions Stochastic analysis Stochastic processes Time dependence Tip speed Varietats (Matematiques) Àrees temàtiques de la UPC Finite element method Stochastic analysis Random fields Sensitivity analysis Moving-boundary problem Perkins-Kern-Nordgren model Monte-Carlo method Hydraulic fracturing
ISSN:	1420-0597, 1573-1499
Online Access:	Get full text
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