Fig. 1

The cylinder and its zooming in the pore microstructure (color online)"

Fig. 2

Pressure profile for the porous cylinder using the first five xn (color online)"

Table 1

The ranges of the input parameters considered in Section 2 under various probability distributions for an isotropic porous solid cylinder"

Table 2

The first-order index (Si) and total Sobol index (Ti) for the involved input parameters on the pressure p based on the range of inputs shown in Table 1"

Fig. 3

The Sobol indices for each input parameter in the pressure response of an isotropic porous cylinder subject to radial stress boundary conditions using “Saltelli-Jansen” estimators based on the range of inputs given in Table 1. The horizontal (blue and red) lines give the Sobol indices of the dummy parameter. If a (first-order or total) Sobol index for an input parameter is below the corresponding line (first or total) of the dummy parameter, then that input is not an influential factor on the output of the model. This only happens for P0 (color online)"

Table 3

Bias measures for the Sobol indices of the input parameters given in Table 1 associated with pressure p"

Table 4

Standard deviation measures for the Sobol indices of the input parameters given in Table 1 associated with pressure p"

Fig. 4

Interaction impact of Sobol indices for three influential parameters in the pressure relation p. The variable y is the model output representing the pressure (color online)"