Table 8 Classification of surface movement deformation and its relationship with building protection levels40,41.
From: Short-wall roadway backfill method for sustainable mining
Movement and deformation | Variables | Formula | Relationship with building protection levels (earth-built houses) |
|---|---|---|---|
Inclined deformation | i | \(i_{3 - 4} = \frac{{w_{4} - w_{3} }}{{l_{3 - 4} }} = \frac{\Delta w}{l}\;\left( {\text{mm/m}} \right)\) (14) | Grade I: < 1.0 |
Curvature deformation | K | \(K = \frac{\Delta i}{l}\;( {{\text{mm/m}}^{2} } )\) (15) | Grade I: < 0.05 |
Horizontal deformation | εx | \(\varepsilon_{3 - 4} = \frac{{u_{4} - u_{3} }}{{l_{3 - 4} }} = \frac{\Delta u}{l}\;\;\left( {\text{mm/m}} \right)\) (16) | Grade I: < 1.0 |