Skip to Main content Skip to Navigation
Journal articles

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

Abstract : 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.
Document type :
Journal articles
Complete list of metadata

https://hal.inrae.fr/hal-02622641
Contributor : Migration Prodinra <>
Submitted on : Tuesday, May 26, 2020 - 6:16:35 AM
Last modification on : Friday, May 28, 2021 - 3:38:30 AM

Identifiers

Citation

Mohamed Hayek, Anis Younes, Jabran Zouali, Noura Fajraoui, Marwan Fahs. Analytical solution and Bayesian inference for interference pumping tests in fractal dual-porosity media. Computational Geosciences, Springer Verlag, 2018, 22 (1), pp.413-421. ⟨10.1007/s10596-017-9701-9⟩. ⟨hal-02622641⟩

Share

Metrics

Record views

811