Table 5.
Means ± SD and range (min, max) of the percentage errors in the estimated k calculated by different correction methods
| Correction method |
Percent error in k, mean (bias) ± SD (min, max) |
||
|---|---|---|---|
| Progressive saturation |
FAST | FAST* | |
| Conventional, Eq. (3) | 7.4 ± 16.0 (−17.9, 70.0) |
−5.8 ± 13.4 (−29.3, 39.7) |
−1.5 ± 7.4 (−17.0, 27.3) |
| HS, Eq. (4) | −13.9 ± 15.2 (−35.6,−3.4) |
−14.6 ± 16.2 (−33.7,−1.8) |
−14.3 ± 15.7 (−33.5,−3.6) |
| KM, Eq. (5) | −3.0 ± 5.1 (−18.4,4.4) |
−11.0 ± 12.7 (−27.3,0.8) |
−8.4 ± 9.3 (−18.9,−0.7) |
| Numerical inversion | 0.6 ± 2.6 (−12.6, 9.5) |
0.2 ± 5.7 (−20.2, 29.1) |
0.2 ± 4.6 (−12.8, 31.3) |
| Eq. (10) | 1.8 ± 4.0 (−8.0, 12.3) |
0.0 ± 2.2 (−10.4, 7.1) |
0.1 ± 1.3 (−5.5, 3.5) |
| Eq. (11) | 1.8 ± 5.5 (−25.5, 8.6) |
−0.3 ± 3.2 (−12.8, 8.0) |
0.1 ± 2.9 (−9.3, 4.7) |
The errors are calculated for progressive saturation and FAST over the range of parameters listed in Table 2; for 0.05 ⩽ k ⩽ 1.0 and for FAST with 0.1 ⩽ k ⩽ 0.5 (FAST*).