1. A method for monitoring a drilling operation comprising: placing a drilling tool into a wellbore for the drilling operation; obtaining measured data from the drilling tool corresponding to a property of the wellbore, wherein the measured data relates to one or more characteristics of materials along a trajectory of the wellbore at a plurality of depths; receiving one or more parameters for defining a probability risk threshold associated with the drilling operation; generating a plurality of mathematical solutions from a panistic inversion that uses the measured data and one or more earth models; determining if the measured data exceeds the probability risk threshold associated with the drilling operation based at least in part on the plurality of mathematical solutions from the panistic inversion; and activating a control event related to an operation of the drilling tool within the wellbore if the measured data exceeds the probability risk threshold associated with the drilling operation.