Linearization of the Sobolev and Babeyko’s formulae for transformation of P-wave velocity to density in the Carpathian-Pannonian Basin region

Abstract

The initial density model has to be based on a reasonable geological hypothesis
and while the modelling process is non-unique, one of the interpretation aims is to define
the robust parameters of the model. It is important at this stage to integrate the seismic
and gravity data. One of the possibilities how to integrate these data is transformation
of the seismic velocities to densities. The Sobolev and Babeyko’s formulae belong to the
most available relationships for this transformation. They are very complex and rigorous
taking into account the PT conditions. On the other hand its application is relatively
complicated. Therefore the main goal of the paper is to try to determine more easily the
formula for transformation of the seismic velocities to densities. Based on the analysis
of the results obtained using the Sobolev and Babeyko’s formula on real data, we found
out that in the Carpathian-Pannonian Basin region this formula can be transformed to
simpler linear velocity–density relationship with required accuracy.