Upscaling in seismics. Problems and solutions
Department of Petroleum Engineering and Applied Geophysics,
Norwegian University of Science and Technology (NTNU), Trondheim, Norway
Seismic data processing and analysis require the velocity model that can be used for forward and inverse problems. There are two main seismic objects that have to be considered in velocity model building : the reservoir and the overburden. Since both objects are vertically heterogeneous one needs to introduce the effective models being upscaled for seismic frequencies. There are several techniques which are used for upscaling : the O’Doherty-Anstey model for overburden and the Backus averaging for reservoir unit.
In our analysis we extend the Backus averaging technique for low frequency case using the Baker-Campbell-Hausdorff series. The special case of vertical propagation is analyzed for the layered acoustic, elastic media including the monoclinic anisotropy medium. We illustrate the proposed method for synthetic and well-log data.