Inversion processing of well log data

An inversion processing device comprising:

• a processor operable to:
• obtain an initial model of an earth formation based on a plurality of modeling parameters comprising a set of formation parameters of the earth formation and a set of calibration factors associated with orientations of one or more antennas of a logging tool to measure raw measurements of the earth formation;
• perform a first forward modeling of the plurality of modeling parameters to obtain a first modeling response of the first forward modeling;
• perform a joint cost function of the first modeling response and a first set of raw measurements;
• readjust the initial model if a result of the joint cost function is not below a first threshold;
• and
• provide the first modeling response if the result of the joint cost function is below the first threshold;
• and
• a storage medium operable to store data indicative of the initial model, the first forward modeling, and the first modeling response.

A non-transitory machine-readable medium comprising instructions stored therein, which when executed by one or more processors, causes the one or more processors to perform operations comprising:

• obtaining an initial model of an earth formation based on a plurality of modeling parameters comprising a set of formation parameters of the earth formation and a set of calibration factors associated with orientations of one or more antennas deployed in a bottom-hole assembly to measure raw measurements of the earth formation;
• performing a first forward modeling of the initial model to obtain a first modeling response of the first forward modeling;
• performing a joint cost function of the first modeling response and a first set of raw measurements;
• simultaneously readjusting at least one formation parameter of the set of formation parameters of the earth formation and at least one calibration factor of the set of calibration factors associated with the orientations of the one or more antennas if a result of the joint cost function is not below a first threshold;
• and
• providing the first modeling response if the result of the joint cost function is below the first threshold.