Experimental determination of the filtration parameters of the porous medium model based on measurements in non-stationary conditions

The work experimentally examines water filtration in a porous-medium model. Based on measurements of filtration characteristics under stationary conditions, the filtration law was determined and found to agree with the classical Darcy law. Under non-stationary conditions, the hydraulic diffusivity of the medium was estimated from pressure buildup curves. Two methods were used: the deterministic moment method and minimization of a quadratic residual functional. Both methods yielded close results. The study demonstrates the possibility of estimating the elastic storage capacity of the medium from its permeability and hydraulic diffusivity and evaluates the error of hydraulic-diffusivity recovery in different norms.