Table 3 True, first-guess and optimized values of frictional parameters in each subregion in the numerical experiments in Exps. 1-i, 1-ii, and 1, and values of the cost function calculated by using Eq. (7)
Region | True values | First-guess values | Optimized values | |||
|---|---|---|---|---|---|---|
Exp. 1-i | Exp. 1-ii | Exp. 1-i | Exp. 1-ii | Exp. 1 | ||
1 | ||||||
A–B (kPa) | 8.00 | 16.0 | 80.0 | 19.7 | 109 | 8.13 |
A (kPa) | 60.0 | 120 | 600 | 74.4 | 233 | 37.0 |
L (mm) | 30.0 | 60.0 | 300 | 54.7 | 281 | 47.3 |
2 | ||||||
A–B (kPa) | 10.0 | 20.0 | 100 | 20.0 | 112 | 7.18 |
A (kPa) | 40.0 | 80.0 | 400 | 51.6 | 279 | 37.3 |
L (mm) | 10.0 | 20.0 | 100 | 14.9 | 60.3 | 9.73 |
3 | ||||||
A–B (kPa) | 6.00 | 12.0 | 60.0 | 15.9 | 68.8 | 7.03 |
A (kPa) | 20.0 | 40.0 | 200 | 16.6 | 70.8 | 28.0 |
L (mm) | 20.0 | 40.0 | 200 | 41.6 | 224 | 17.3 |
4 | ||||||
A–B (kPa) | 6.00 | 12.0 | 60.0 | 13.1 | 63.9 | 6.19 |
A (kPa) | 20.0 | 40.0 | 200 | 27.9 | 108 | 20.5 |
L (mm) | 20.0 | 40.0 | 200 | 38.5 | 219 | 20.3 |
5 | ||||||
A–B (kPa) | 8.00 | 16.0 | 80.0 | 2.96 | 142 | 7.61 |
A (kPa) | 60.0 | 120 | 600 | 42.5 | 234 | 68.8 |
L (mm) | 10.0 | 20.0 | 100 | 9.42 | 149 | 9.96 |
6 | ||||||
A–B (kPa) | 10.0 | 20.0 | 100 | 23.9 | 117 | 8.29 |
A (kPa) | 40.0 | 80.0 | 400 | 25.9 | 119 | 63.2 |
L (mm) | 10.0 | 20.0 | 100 | 18.0 | 157 | 10.5 |
7 | ||||||
A–B (kPa) | 10.0 | 20.0 | 100 | 21.9 | 106 | 11.4 |
A (kPa) | 40.0 | 80.0 | 400 | 61.2 | 422 | 56.1 |
L (mm) | 20.0 | 40.0 | 200 | 36.0 | 149 | 18.3 |
8 | ||||||
A–B (kPa) | 6.00 | 12.0 | 60.0 | 12.8 | 68.9 | 6.77 |
A (kPa) | 20.0 | 40.0 | 200 | 28.0 | 71.0 | 29.5 |
L (mm) | 30.0 | 60.0 | 300 | 60.6 | 422 | 21.4 |
9 | ||||||
A–B (kPa) | 8.00 | 16.0 | 80.0 | 10.8 | − 117 | 11.5 |
A (kPa) | 60.0 | 120 | 600 | 124 | 294 | 33.7 |
L (mm) | 10.0 | 20.0 | 100 | 11.2 | 192 | 9.17 |
Cost function (assimilation period) | 0 | 1.14*103 | 2.16*103 | 2.51*100 | 6.45*101 | 2.41*10−2 |
Cost function (prediction period) | 0 | 1.33*104 | 2.08*104 | 5.01*103 | 6.55*103 | 4.58*10−1 |