A Designer’s Approach for Estimation of Nuclear-Air-Blast-Induced Ground Motion
Table 1
Displacement solutions for the double-layered media.
Case
Explanation
Displacement equation
1
When all loading and unloading fronts are in layer-1 .
2
When some loading fronts have crossed layer-1 and remaining loading fronts along with all unloading fronts are in layer-1 . Here, the first task is to determine those loading fronts which have crossed layer-1. This can be obtained by equating loading front velocity multiplied with travel time with the depth of layer. The loading front velocity of the kth front can be written using (3) as , and travel time is . Thus, the last loading front to reach at depth H by the time would be given by .
3
When all loading fronts are in layer-2 and some unloading fronts have crossed layer-1 . Similar to case 2, the last unloading front to reach at depth H by the time would be given by .