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A P wave (primary wave or pressure wave) is one of the two main types of elastic body waves, called seismic waves in seismology. P waves travel faster than other seismic waves and hence are the first signal from an earthquake to arrive at any affected location or at a seismograph. P waves may be transmitted through gases, liquids, or solids.
Gardner's relation, or Gardner's equation, named after Gerald H. F. Gardner and L. W. Gardner, is an empirically derived equation that relates seismic P-wave velocity to the bulk density of the lithology in which the wave travels. The equation reads: = where is bulk density given in g/cm 3, is P-wave velocity given in ft/s, and and are ...
Upon reaching the outer core the wave reflects as a P wave. sPKIKP is a wave path that begins traveling towards the surface as an S wave. At the surface, it reflects as a P wave. The P wave then travels through the outer core, the inner core, the outer core, and the mantle.
The wave equation is a second-order linear partial differential equation for the description of waves or standing wave fields such as mechanical waves (e.g. water waves, sound waves and seismic waves) or electromagnetic waves (including light waves). It arises in fields like acoustics, electromagnetism, and fluid dynamics.
Different P-wave and S-wave phases are picked up by a receiver for the analysis of velocity structure. Ambient Noise Tomography (ANT) Ambient Noise Tomography is a seismic imaging technique that uses the Earth's background noise, stemming from sources like ocean waves, storms, and traffic, to map its seismic velocity structure. [ 88 ]
The situation becomes much more complicated in the case of non-normal incidence, due to mode conversion between P-waves and S-waves, and is described by the Zoeppritz equations. In 1919, Karl Zoeppritz derived 4 equations that determine the amplitudes of reflected and refracted waves at a planar interface for an incident P-wave as a function of ...
A wave along the length of a stretched Slinky toy, where the distance between coils increases and decreases, is a good visualization. Real-world examples include sound waves (vibrations in pressure, a particle of displacement, and particle velocity propagated in an elastic medium) and seismic P waves (created by earthquakes and explosions).
The group velocity is the rate at which the wave envelope, i.e. the changes in amplitude, propagates. The wave envelope is the profile of the wave amplitudes; all transverse displacements are bound by the envelope profile.