Journal
COMPUTATIONAL GEOSCIENCES
Volume 22, Issue 1, Pages 413-421Publisher
SPRINGER
DOI: 10.1007/s10596-017-9701-9
Keywords
Fractured porous media; Interference pumping test; Dual porosity; Fractal media; Bayesian inversion
Funding
- 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
- French National Research Agency (ANR) through the program AAP Blanc - SIMI 6 project RESAIN [ANR-12-BS06-0010-02]
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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.
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