Interference potential
In potential theory , the influence of an irregularity to be determined ( disruptive body ) on a physical force field is referred to as interference potential .
Most important is the calculation of interference potentials in the terrestrial magnetic field and in the earth's gravity field . In the latter case, the following applies to a measuring point :
With
- : Symbol for the interference potential in geodetic and geophysical specialist literature
- (or also ): Total potential or potential energy of the force field at the measuring point, in principle all the masses in the considered 3D space contribute to this.
- : Normal potential (see below)
- : Position vector with which all three potentials usually change.
In general, the potential itself can not be used to locate and later analyze the disruptive body , but only its measurable functionals , e.g. B. Gradients or solder disturbances .
Starting from a regular distribution of the charges or the masses in the vicinity of the measuring points can a normal field (corresponding defined) and the measurement (corresponding to are compared). The difference (corresponding ) is called the magnetic or gravity anomaly . It can be approximated to the determined deviations through model calculations, in that the disruptive body is quantitatively determined in the trial-and-error process through targeted changes in the assumed potential sources, which is also called inversion of the disruptive potential.
Such model variations are in the gravitational field z. B.
- the rock density in a sedimentary basin
- the mass distribution in the course of a geological fault ,
- the parameters of the magnetization in a serpentine - deposit .
However, the inversion of a potential is usually not clear ( inversion problem in potential theory ) and requires additional data (e.g. about rocks) or additional measurement methods.