Systems and methods for optimizing bed boundary locations and prediction of associated petrophysical property values of a wellbore in a reservoir formation are disclosed. To optimize bed boundary locations and predict petrophysical property values, a process can be used in which a high resolution wellbore log is used to get an initial estimate of boundary positions. The initial estimate can then be used to constrain a joint optimization of bed positions and associated petrophysical property values. Such a process automates both the generation of a single set of boundaries that are common to all measurements and the prediction of petrophysical properties via joint inversion. The same inversion process can be used to derive quality indicators on the corrected bed boundary locations and the petrophysical property values.