Turning multi-component data into tensor fields
, by Martin Karrenbach & Francis Muir
Multi-component source and receiver data, so-called 9-component data, can be treated as
a tensor field only if the source and receiver radiation patterns are uniform. Careful
design, such as the use of identical elements and Gal'perin geometry, are sufficient in
the case of seismometers. Sources are another matter, since they interact in an unknown,
variable and nonlinear manner with the earth's surface. These source radiation patterns
are reduced to uniformity by a new technique. The method requires reasonably ideal
geophones and fully reciporcal data, but is independent of structural complexity or other
simplifying model assumptions.