Table 6 Attenuation law of dynamic stress wave in shaft model surrounding rock in vertical direction.
From: Evolution law of surrounding rock stress field for ultra-deep shaft development blasting
Working condition | Buried depth H/m | Attenuation law of radial peak strain | Attenuation law of hoop peak strain |
|---|---|---|---|
M0 | 0 | \(\sigma_{r} = 14729.67\overline{r}^{ - 1.90} \left( {R^{2} = 0.9857} \right)\) | \(\sigma_{\theta } = 7262.49\overline{r}^{ - 1.44} \left( {R^{2} = 0.9952} \right)\) |
M1 | 500 | \(\sigma_{r} = 25604.15\overline{r}^{ - 1.99} \left( {R^{2} = 0.9730} \right)\) | \(\sigma_{\theta } = 5970.82\overline{r}^{ - 1.42} \left( {R^{2} = 0.9538} \right)\) |
M2 | 1000 | \(\sigma_{r} = 18592.58\overline{r}^{ - 1.81} \left( {R^{2} = 0.9709} \right)\) | \(\sigma_{\theta } = 4830.54\overline{r}^{ - 1.40} \left( {R^{2} = 0.9936} \right)\) |
M3 | 1500 | \(\sigma_{r} = 20718.65\overline{r}^{ - 1.68} \left( {R^{2} = 0.9845} \right)\) | \(\sigma_{\theta } = 5179.58\overline{r}^{ - 1.47} \left( {R^{2} = 0.9896} \right)\) |
M4 | 2000 | \(\sigma_{r} = 92745.64\overline{r}^{ - 2.08} \left( {R^{2} = 0.9242} \right)\) | \(\sigma_{\theta } = 4158.94\overline{r}^{ - 1.47} \left( {R^{2} = 0.9831} \right)\) |
