Analytical solution and Bayesian inference for interference pumping tests in fractal dual-porosity media

Autor: Noura Fajraoui, Jabran Zouali, Mohamed Hayek, Anis Younes, Marwan Fahs
Přispěvatelé: INTERA, Partenaires INRAE, Laboratoire d'étude des Interactions Sol - Agrosystème - Hydrosystème (UMR LISAH), Institut de Recherche pour le Développement (IRD)-Institut National de la Recherche Agronomique (INRA)-Centre international d'études supérieures en sciences agronomiques (Montpellier SupAgro)-Institut national d’études supérieures agronomiques de Montpellier (Montpellier SupAgro), Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro), Centre National de la Recherche Scientifique (CNRS), Ecole Nationale d'Ingénieurs de Tunis (ENIT), Université de Tunis El Manar (UTM), Eidgenössische Technische Hochschule - Swiss Federal Institute of Technology [Zürich] (ETH Zürich), This work was partially supported by the GdR MoMaS (PACEN/CNRS, ANDRA, BRGM, CEA, EDF, IRSN), France, and by the French National Research Agency (ANR) through the program AAP Blanc - SIMI 6 project RESAIN (no. ANR-12-BS06-0010-02), ANR-12-BS06-0010,RESAIN,Techniques d'émulation pour la réduction, l'analyse de sensibilité et l'inversion des modèles de transfert en hydrologie(2012), Laboratoire d'Hydrologie et de Géochimie de Strasbourg (LHyGeS), Ecole et Observatoire des Sciences de la Terre (EOST), Université de Strasbourg (UNISTRA)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)-Université de Strasbourg (UNISTRA)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)-École Nationale du Génie de l'Eau et de l'Environnement de Strasbourg (ENGEES)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS), GdR MoMaS (PACEN/CNRS), France GdR MoMaS (ANDRA), France GdR MoMaS (BRGM), France GdR MoMaS (CEA), France GdR MoMaS (EDF), France GdR MoMaS (IRSN), France
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Theoretical computer science
010504 meteorology & atmospheric sciences
[SDV]Life Sciences [q-bio]
0208 environmental biotechnology
Fractured porous media
[SDU.STU]Sciences of the Universe [physics]/Earth Sciences
02 engineering and technology
Bayesian inversion
Interference (wave propagation)
Bayesian inference
01 natural sciences
Fractal media
Interference pumping test
Matrix (mathematics)
fractal media
Fractal
Dual porosity
dual porosity
Convergence (routing)
Applied mathematics
Computers in Earth Sciences
0105 earth and related environmental sciences
Mathematics
fractured porous media
Finite volume method
dual-porosity
020801 environmental engineering
Computer Science Applications
Computational Mathematics
Computational Theory and Mathematics
[SDE]Environmental Sciences
Identifiability
Porous medium
Zdroj: Computational Geosciences
Computational Geosciences, Springer Verlag, 2018, 22 (1), pp.413-421. ⟨10.1007/s10596-017-9701-9⟩
Computational Geosciences, 2018, 22 (1), pp.413-421. ⟨10.1007/s10596-017-9701-9⟩
ISSN: 1420-0597
1573-1499
Popis: International audience; A new analytical solution is developed for interference hydraulic pumping tests in fractal fractured porous media using the dual-porosity concept. Heterogeneous fractured reservoirs are considered with hydrodynamic parameters assumed to follow power-law functions in radial distance. The developed analytical solution is verified by comparison against a finite volume numerical solution. The comparison shows that the numerical solution converges toward the analytical one when the size of the time step decreases. The applicability of the fractal dual-porosity model is then assessed by investigating the identifiability of the parameters from a synthetic interference pumping test with a set of noisy data using Bayesian parameter inference. The results show that if the storage coefficient in the matrix is fixed, the rest of the parameters can be appropriately inferred; otherwise, the identification of the parameters is faced with convergence problems because of equifinality issues.
Databáze: OpenAIRE
Externí odkaz: