From: 3-D dynamic rupture simulations of the 2016 Kumamoto, Japan, earthquake
Case name | \(\sigma_{1}\) | \(\sigma_{3}\) | \(\sigma_{\text{n}}^{\text{r}}\) (MPa) | \(\tau^{\text{r}}\) (MPa) | \(\mu_{\text{d}}\) | \(\mu_{\text{s}}\) | \(S\) | \({{L_{\text{c}}^{\text{II}} } \mathord{\left/ {\vphantom {{L_{\text{c}}^{\text{II}} } {D_{\text{c}} }}} \right. \kern-0pt} {D_{\text{c}} }}\) d | ||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
Hinagu | Futagawa | Hinagu | Futagawa | Hinagu (\(S_{\text{H}}\)) | Futagawa | Hinagu | Futagawa | |||||
Case A | 100 | 50 | 77.262 | 63.077 | 23.956 | 19.632 | 0.261 | – | 0.4a | – | – | – |
0.349 | 0.8b | 0.758 | \(6.3 \times 10^{3}\) | \(7.4 \times 10^{3}\) | ||||||||
0.369 | 1.2c | 1.148 | \(7.8 \times 10^{3}\) | \(9.1 \times 10^{3}\) | ||||||||
0.389 | 1.6 | 1.539 | \(9.2 \times 10^{3}\) | \(1.1 \times 10^{4}\) | ||||||||
0.408 | 2.0 | 1.930 | \(1.1 \times 10^{4}\) | \(1.2 \times 10^{4}\) | ||||||||
Case B | 100 | 70 | 86.357 | 77.846 | 14.373 | 11.779 | 0.116 | 0.187 | 0.4 | 1.000 | \(4.3 \times 10^{3}\) | \(9.7 \times 10^{3}\) |
0.207 | 0.8 | 1.571 | \(5.5 \times 10^{3}\) | \(1.2 \times 10^{4}\) | ||||||||
0.227 | 1.2 | 2.143 | \(6.7 \times 10^{3}\) | \(1.5 \times 10^{4}\) | ||||||||
0.247 | 1.6 | 2.714 | \(8.0 \times 10^{3}\) | \(1.8 \times 10^{4}\) | ||||||||
0.267 | 2.0 | 3.285 | \(9.2 \times 10^{3}\) | \(2.1 \times 10^{4}\) | ||||||||
Case C | 300 | 160 | 236.334 | 196.616 | 67.076 | 54.969 | 0.266 | – | 0.4a | – | – | – |
– | 0.8a | – | – | – | ||||||||
– | 1.2a | – | – | – | ||||||||
0.312 | 1.6 | 2.413 | \(8.2 \times 10^{3}\) | \(1.7 \times 10^{4}\) | ||||||||
0.319 | 2.0 | 2.938 | \(9.5 \times 10^{3}\) | \(2.0 \times 10^{4}\) | ||||||||
Case D | 300 | 260 | 281.810 | 270.462 | 19.165 | 15.705 | 0.050 | 0.0752 | 0.4 | 2.12407 | \(3.7 \times 10^{3}\) | \(1.9 \times 10^{4}\) |
0.0824 | 0.8 | 3.016662 | \(4.7 \times 10^{3}\) | \(2.5 \times 10^{4}\) | ||||||||
0.0896 | 1.2 | 3.909253 | \(5.8 \times 10^{3}\) | \(3.0 \times 10^{4}\) | ||||||||
0.0968 | 1.6 | 4.801845 | \(6.8 \times 10^{3}\) | \(3.5 \times 10^{4}\) | ||||||||
0.104 | 2.0 | 5.694436 | \(7.9 \times 10^{3}\) | \(4.1 \times 10^{4}\) | ||||||||
Case E | 500 | 290 | 404.502 | 344.924 | 100.614 | 82.454 | 0.235 | – | 0.4a | – | – | – |
– | 0.8a | – | – | – | ||||||||
0.265 | 1.2 | 6.464 | \(5.3 \times 10^{3}\) | \(7.1 \times 10^{4}\) | ||||||||
0.271 | 1.6 | 7.822 | \(6.2 \times 10^{3}\) | \(8.4 \times 10^{4}\) | ||||||||
0.276 | 2.0 | 9.179 | \(7.2 \times 10^{3}\) | \(9.7 \times 10^{4}\) | ||||||||
Case F | 500 | 400 | 454.525 | 426.154 | 47.912 | 39.264 | 0.090 | 0.112 | 0.4 | 9.106 | \(2.7 \times 10^{3}\) | \(1.5 \times 10^{5}\) |
0.118 | 0.8 | 11.994 | \(3.4 \times 10^{3}\) | \(1.9 \times 10^{5}\) | ||||||||
0.124 | 1.2 | 14.881 | \(4.2 \times 10^{3}\) | \(2.3 \times 10^{5}\) | ||||||||
0.130 | 1.6 | 17.768 | \(5.0 \times 10^{3}\) | \(2.8 \times 10^{5}\) | ||||||||
0.136 | 2.0 | 20.656 | \(5.7 \times 10^{3}\) | \(3.2 \times 10^{5}\) | ||||||||
Case G | 500 | 460 | 481.810 | 470.462 | 19.165 | 15.705 | 0.029 | 0.0441 | 0.4 | 2.442 | \(3.6 \times 10^{3}\) | \(2.2 \times 10^{4}\) |
0.0484 | 0.8 | 3.426 | \(4.6 \times 10^{3}\) | \(2.9 \times 10^{4}\) | ||||||||
0.0527 | 1.2 | 4.409 | \(5.7 \times 10^{3}\) | \(3.5 \times 10^{4}\) | ||||||||
0.0570 | 1.6 | 5.393 | \(6.7 \times 10^{3}\) | \(4.1 \times 10^{4}\) | ||||||||
0.0613 | 2.0 | 6.376 | \(7.7 \times 10^{3}\) | \(4.8 \times 10^{4}\) |