In rock blasting, the peak particle velocity (PPV) depends both on the distance from the blast an
In rock blasting, the peak particle velocity (PPV) depends both on the distance from the blast and on the amount of charge. The article “Prediction of Particle Velocity Caused by Blasting for an Infrastructure Excavation Covering Granite Bedrock” (A. Kahriman, Mineral Resources Engineering, 2001:205–218) suggests predicting PPV (y) from the scaled distance (x), which is equal to the distance divided by the square root of the charge. The results for 15 blasts are presented in the following table.
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In rock blasting, the peak particle velocity (PPV) depends both on the distance from the blast an
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PPV (mm/s)
Scaled Distance (m/kg0.5)
1.4
47.33
15.7
9.6
2.54
15.8
1.14
24.3
0.889
23.0
1.65
12.7
1.4
39.3
26.8
8.0
1.02
29.94
4.57
10.9
6.6
8.63
1.02
28.64
3.94
18.21
1.4
33.0
1.4
34.0
a. Plot PPV versus scaled distance. Does the relationship appear to be linear?
b. Compute the least-squares line for the model ln PPV = β0 + β1 ln scaled distance + ε. Plot the residuals versus fitted values. Does this linear model seem appropriate?
c. Use the least-squares line computed in part (b) to predict the PPV when the scaled distance is 20. Find a 95% prediction interval.
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