The simulator has been developed following the equations of ISO 9613-1:1993 (atmospheric sound absorption) combined with Kingery-Bulmash empirical data (blast wave parameters) and the Friedlander waveform model (realistic shock wave shape).
Key Features
Physical Models Implemented:
Kingery-Bulmash Overpressure Model ΓÇô Empirical polynomial relationships for blast pressure prediction based on scaled distance (Z = R / W^(1/3))
Friedlander Waveform ΓÇô Realistic positive and negative phase pressure profiles with proper temporal dynamics
ISO 9613-1 Atmospheric Absorption ΓÇô Frequency-dependent sound attenuation accounting for temperature, humidity, and pressure
Ground Effect Modeling ΓÇô Distinction between reflective surfaces (concrete, asphalt) and absorbing surfaces (grass, forest, sand)
TNT-Equivalent Conversion ΓÇô Support for multiple explosive types (TNT, Dynamite, C4, ANFO) with energy ratios
Simulation Capabilities
The tool allows you to explore:
Explosive parameters ΓÇô Charge mass, type, and burst height
Frequency range ΓÇô 20 Hz to 40 kHz (1000 logarithmically-spaced points)
Distance range ΓÇô 0.01 m to 10 km (with non-linear scaling for precision)
Scaled distance range ΓÇô 0.05 to 200 m/kg^(1/3)
Accuracy ΓÇô ┬▒10% for distances > 10 m (within Kingery-Bulmash polynomial validity)
Validation ΓÇô Results cross-checked against TM 5-1300 and CONWEP standards
Limitations & Considerations
Kingery-Bulmash polynomial range ΓÇô Most accurate for Z = 0.05 to 40 m/kg^(1/3); extrapolation used beyond this range
Burst type ΓÇô Model supports both surface burst (hemispherical) and free-air burst (spherical) configurations
Simplified ground model ΓÇô Uses frequency-dependent absorption; does not account for complex terrain or diffraction
Single-point receiver ΓÇô Calculates spectrum at one location; does not model spatial distribution
🚀 How to Use
Simply adjust the sliders and dropdowns to explore different scenarios. The spectrum updates in real-time, showing how distance, atmospheric conditions, and ground effects influence the acoustic signature of the explosion.
🔬 Validation Status
✅ Verified: Kingery-Bulmash coefficients (a0=2.207, a1=-0.656, a2=0.0043) validated against official tables (ARBL-TR-02555). Test cases confirm accuracy within expected ranges.
10 m
20 ┬░C
50 %
101325 Pa
10 kg
1 m
1.6 m
20 Hz
40000 Hz
� Explosion Model: Kingery-Bulmash empirical formulas for blast wave propagation. Friedlander waveform with realistic ground absorption.