  An analytical approximation is found for the
Verbaarschot-Weidenmueller-Zirnbauer solution. Its structure is discussed. The
VWZ model is believed to correctly represent the correlations of two S-matrix
elements for an open quantum chaotic system, but the solution has considerable
complexity and is presently only accessed numerically. The present procedure
gives its features explicitly over the full range of the parameter space in a
transparent and simple analytical form preserving accuracy to a considerable
degree.The bulk of the VWZ correlations are described by the Gorin-Seligman
expression for the 2-amplitude correlations of the Ericson-Gorin-Seligman (EGS)
model. The structure of the remaining correction factors for correlation
functions is discussed with special emphasis of the role of the level
correlation hole both for inelastic and elastic correlations.
