Methods and systems to analyze bed boundary detection

A method to determine distances to a bed boundary of an earth formation, comprising:

• acquiring input data for a logging tool;
• constructing a forward model based on the input data;
• applying a plurality of errors to the forward model;
• generating inverted maps corresponding to horizontal resistivities of the earth formation by applying an inversion technique to the forward model to predict distances to the bed boundary, the applying a plurality of errors to the forward model generating corresponding inverted maps;
• defining a threshold to compare the predicted distances to the bed boundary with a true formation model which provides true distances to the bed boundary, wherein the threshold is defined using a relative confidence level being tested, a top resistivity and a bottom resistivity, wherein the threshold, RThreshold, is defined by equation
• 1
• R
• Treshold
• =
• level
• R
• t
• ⁢
• o
• ⁢
• p
• -
• 1
• -
• level
• R
• b
• ⁢
• o
• ⁢
• t
• ⁢
• t
• ⁢
• o
• ⁢
• m
• where the level is the relative confidence level being tested, Rtop is the top resistivity and Rbottom is the bottom resistivity;
• and
• displaying results that exceed the threshold, wherein the displaying the results that exceed the threshold includes displaying results that correspond to the distances to the bed boundary and a percentage of realizations.

A system comprising:

• one or more processors;
• memory operatively coupled to the one or more processors;
• and
• processor-executable instructions stored in the memory and executable by at least one of the processors to instruct the system to:
• construct a forward model based on the logging tool data;
• apply a plurality of errors to the forward model;
• generate inverted maps corresponding to horizontal resistivities of the earth formation by applying an inversion technique to the forward model to predict distances to the bed boundary, the applying a plurality of errors to the forward model generating corresponding inverted maps;
• define a threshold to compare the predicted distances to the bed boundary with a true formation model which provides true distances to the bed boundary, wherein the threshold is defined using a relative confidence level being tested, a top resistivity and a bottom resistivity, wherein the threshold, RThreshold, is defined by equation
• 1
• R
• Threshold
• =
• level
• R
• top
• -
• 1
• -
• level
• R
• bottom
• where the level is the relative confidence level being tested, Rtop is the top resistivity and Rbottom is the bottom resistivity;
• and
• display results that exceed the threshold, wherein the display the results that exceed the threshold includes display of results that correspond to the distances to the bed boundary and a percentage of realizations.