\[V_p=\sqrt{\frac{K+\frac{4}{3}G}{\rho}}\]
Variables
VpP-wave velocity (m/s)
Kbulk modulus (Pa)
Gshear modulus (Pa)
rhomaterial density (kg/m³)
Description
What is this formula?
This formula calculates the propagation velocity of primary seismic waves (P-waves) through an elastic medium. P-waves are compressional waves and are the fastest seismic waves.
When to use it
Use this equation in seismology, geophysics, and Earth structure analysis when studying seismic wave propagation through rocks and underground layers.
Example
Calculate the P-wave velocity in granite with the following properties.
Data:
K = 5.0×10^10 Pa
G = 3.0×10^10 Pa
rho = 2700 kg/m³
Formula:
Vp = √((K+(4*G/3))/rho)
Substitution:
Vp = √((5.0×10^10+(4*3.0×10^10/3))/2700)
Result:
Vp = 5773 m/s
Applications
- Earthquake analysis
- Seismic exploration
- Earth interior studies
- Oil and gas geophysics
- Rock mechanics