Inversion of seismic data using information from horizontal wells is
often is hampered by cumulative well- location errors. These errors can
be significant and propagate to the well-log measurements in the
borehole. To achieve a proper data integration and arrive at correct
uncertainty estimates, we formulate the problem in a fully probabilistic
framework and present a numerical approach for improving subsurface
imaging using uncertain well-log data and their uncertain locations, as
well as uncertain seismic data. The result is improved model error
quantification in the seismic inversion process.