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The forward model

Since reflectivity imaging is an inversion from seismic data collected at the surface, it is important to understand the implied forward model that relates the reflectivity to surface seismic data. The monochromatic forward model for a seismic shot record (chapter 2) can be written as follows:  
 \begin{displaymath}
{\bf g}_j(z_0) = F(z_0,z_0) {\bf s}_j(z_0),\end{displaymath} (42)
with  
 \begin{displaymath}
F(z_0,z_0) = \sum_{n=1}^{N} W(z_0,z_n) R(z_n) W(z_n,z_0).\end{displaymath} (43)


 
next up previous print clean
Next: Propagation operators Up: Angle-dependent reflectivity recovery Previous: Introduction and overview
Stanford Exploration Project
2/5/2001