Interval maximum likelihood inversion for well logging data and statistical properties of estimated parameters

Abstract During the conventional petrophysical interpretation fixed (predefined) zone parameters are applied for every (depth intervals). Their inclusion in inversion process requires extension of a likelihood function whole zone. This allows to define extremum problem fitting parameter set full interval model layers crossed by well, both associated with depth points (e.g. porosity, saturations, rock matrix composition etc.) and formation water resistivity, cementation factor etc.). In this picture form complex coupled correlated system. Even local different depths through change. paper, statistical properties system studied which fitted Interval Maximum Likelihood (ILM) method. The estimated values determines correlation between them.