6533b83afe1ef96bd12a787c
RESEARCH PRODUCT
THEORETISCHE UNTERSUCHUNG UBER DIE MEHRFACHAUFSTELLUNG VON GEOPHONEN*
Franz Josef Küppersubject
PhysicsCoupling (physics)Superposition principleGeophysicsGeochemistry and PetrologyMathematical analysisGeophoneTransient (oscillation)Interference (wave propagation)Measure (mathematics)Energy (signal processing)Seismic wavePhysics::Geophysicsdescription
The receiving of seismic waves by multiple geophones (geophone-group) is described by a system of coupled differential equations considering only effective resistances. For so-called symmetrical connections of the geophone-group which are used in practice nearly in all cases, a method can be given for solving this system of differential equations. The solutions so derived are valid for seismic waves of any shape. The calculation takes into account the coupling of the geophones as well as the building-up transient oscillations. A suitable measure of superposition is defined, based on the energy transferred during the receiving of the seismic waves. By this means effects similar to interference are investigated which occur at the geophone-group. As a numerical example calculation is carried out for a geophone-group consisting of three geophones which is excited by impulse-shaped waves of the form of a damped sinusoidal oscillation. The occurring effect of superposition and its dependence on direction are discussed. In the appendix formulae are presented for investigation of further numerical examples.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1958-09-01 | Geophysical Prospecting |