%0 Journal Article
%9 ACL : Articles dans des revues avec comité de lecture répertoriées par l'AERES
%A Hayek, M.
%A Younes, Anis
%A Zouali, J.
%A Fajraoui, N.
%A Fahs, M.
%T Analytical solution and Bayesian inference for interference pumping tests in fractal dual-porosity media
%D 2018
%L fdi:010072024
%G ENG
%J Computational Geosciences
%@ 1420-0597
%K Fractured porous media ; Interference pumping test ; Dual porosity ; Fractal media ; Bayesian inversion
%M ISI:000423708300023
%N 1
%P 413-421
%R 10.1007/s10596-017-9701-9
%U https://www.documentation.ird.fr/hor/fdi:010072024
%> https://www.documentation.ird.fr/intranet/publi/2018/02/010072024.pdf
%V 22
%W Horizon (IRD)
%X 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.
%$ 020