@article{fdi:010072024, title = {{A}nalytical solution and {B}ayesian inference for interference pumping tests in fractal dual-porosity media}, author = {{H}ayek, {M}. and {Y}ounes, {A}nis and {Z}ouali, {J}. and {F}ajraoui, {N}. and {F}ahs, {M}.}, editor = {}, language = {{ENG}}, abstract = {{A} new analytical solution is developed for interference hydraulic pumping tests in fractal fractured porous media using the dual-porosity concept. {H}eterogeneous fractured reservoirs are considered with hydrodynamic parameters assumed to follow power-law functions in radial distance. {T}he developed analytical solution is verified by comparison against a finite volume numerical solution. {T}he comparison shows that the numerical solution converges toward the analytical one when the size of the time step decreases. {T}he 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 {B}ayesian parameter inference. {T}he 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.}, keywords = {{F}ractured porous media ; {I}nterference pumping test ; {D}ual porosity ; {F}ractal media ; {B}ayesian inversion}, booktitle = {}, journal = {{C}omputational {G}eosciences}, volume = {22}, numero = {1}, pages = {413--421}, ISSN = {1420-0597}, year = {2018}, DOI = {10.1007/s10596-017-9701-9}, URL = {https://www.documentation.ird.fr/hor/fdi:010072024}, }