Table 7
Comparison of effective diffusion coefficients and tortuosity factors between numerical computation and NMR measurements on sample 1. For the sample 1, the De and D0 are respectively the diffusion coefficient of confined and free toluene measured by NMR. For the two-scale model, De and De(rg) are numerically estimated with the FFT method. 
is the effective diffusion coefficient compensated with the cylindrical-pore approximation by Equation (31). 
is the effective diffusion coefficient compensated with the partition effect by dilation, by Equation (32). τ′ and τ″ are respectively the corresponding tortuosity factors calculated from 
and 
.
| Microstructure | De 10−9 m2/s | D0 10−9 m2/s |
|
 10−9 m2/s |
|
D0(rg) 10−9 m2/s |
 10−9 m2/s |
|
|---|---|---|---|---|---|---|---|---|
| Sample 1 | 1.05 | 2.40 | 2.29 | |||||
| Two-scale model | 0.508 | 1 | 1.96 | 0.46 | 2.19 | 0.453 | 0.427 | 2.34 |