Scaled Distance for Vibration Control Calculator

Scaled Distance Equation:

\[ D_{scaled} = H \times \left( \frac{D}{\sqrt{W}} \right)^{-\beta} \]

Constant of Scaled Distance (H):

Distance from Explosion to Exposure (D):

Maximum Weight of Explosives per Delay (W):

Constant of Scaled Distance β:

Scaled Distance (D_scaled):

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1. What is the Scaled Distance Equation?

The Scaled Distance equation is used in blasting operations to estimate vibration effects and ensure safe distances from explosive detonations. It helps in controlling and predicting ground vibrations caused by explosions in mining and construction activities.

2. How Does the Calculator Work?

The calculator uses the Scaled Distance equation:

\[ D_{scaled} = H \times \left( \frac{D}{\sqrt{W}} \right)^{-\beta} \]

Where:

\( H \) — Constant of Scaled Distance
\( D \) — Distance from Explosion to Exposure (m)
\( W \) — Maximum Weight of Explosives per Delay (kg)
\( \beta \) — Constant of Scaled Distance β

Explanation: The equation calculates the scaled distance by normalizing the actual distance with the square root of the explosive weight, adjusted by specific constants for accurate vibration prediction.

3. Importance of Scaled Distance Calculation

Details: Accurate scaled distance calculation is crucial for ensuring safety during blasting operations, preventing structural damage, and minimizing environmental impact from vibration and air overpressure.

4. Using the Calculator

Tips: Enter all required values with appropriate units. Ensure all inputs are positive numbers. The calculator will compute the scaled distance in meters.

5. Frequently Asked Questions (FAQ)

Q1: What is the purpose of scaled distance in blasting?
A: Scaled distance helps predict ground vibration levels and ensures safe distances are maintained to protect structures and people from blast effects.

Q2: How does explosive weight affect scaled distance?
A: Larger explosive weights increase vibration levels, requiring greater distances to maintain safe scaled distance values.

Q3: What are typical values for constants H and β?
A: These constants vary based on site-specific conditions and rock properties, typically determined through site-specific vibration monitoring.

Q4: Can this calculator be used for all types of explosives?
A: The equation is generally applicable to most conventional explosives, but specific explosive types may require adjusted constants.

Q5: How accurate is the scaled distance prediction?
A: While highly useful for planning, actual vibration levels can vary due to geological conditions, so field monitoring is recommended for critical applications.