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

作者：Hayek Mohamed; Younes Anis^*; Zouali Jabran; Fajraoui Noura; Fahs Marwan

来源：Computational Geosciences, 2018, 22(1): 413-421.

DOI：10.1007/s10596-017-9701-9

• Fractured porous media
• Interference pumping test
• Dual porosity
• Fractal media
• Bayesian inversion

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.

• 出版日期2018-2