Definitions

# P-wave

P-wave can also refer to a type of electronic wavefunction in atomic physics; see atomic orbital.

P-waves are type of elastic wave, also called seismic waves, that can travel through gasses (such as sounds), elastic solids and liquids, including the Earth. P-waves can be produced by earthquakes and recorded by seismometers. The name P-wave stands for primary wave, as the P-wave is the fastest among the elastic waves, compared to the S-waves.

In isotropic and homogeneous solids, the polarization of a P-wave is always longitudinal; thus, the particles in the solid have vibrations along or parallel to the travel direction of the wave energy.

## Speed of P-waves

$v_p= sqrt\left\{ frac \left\{K+frac\left\{4\right\}\left\{3\right\}mu\right\} \left\{rho\right\}\right\}$
where K is the modulus of incompressibility, $mu$ is the modulus of rigidity and $rho$ the density of the material through which the wave is propagating

Of these density shows the least variation so the velocity is mostly controlled by K and μ.

The elastic moduli P-wave modulus, $M$, is defined so that $M = K + 4mu/3$ and thereby $v_p = sqrt\left\{M/rho\right\}$.

Typical values for the velocity are in the range 5 to 8 km/s

## Polarization

In isotropic and homogeneous solids, the polarization of P-waves is always longitudinal. This means that the particles in the body have vibrations along or parallel to the direction of travel of the wave energy.

## As an earthquake warning

Earthquake advance warning is possible by detecting the non-destructive primary waves that travel more quickly through the earth's crust than do the destructive secondary and Rayleigh waves. The amount of advance warning depends on the delay between the arrival of the P-wave and other destructive waves, generally on the order of seconds up to about a minute maximum for deep, distant, large quakes. The effectiveness of advance warning depends on accurate detection of the P-waves and compensation for ground vibrations caused by local activity (such as trucks or construction work).