Combined processing of borehole imagers and dielectric tools

A system for obtaining calibrated permittivity dispersion measurements of a subsurface formation, the system comprising:

• a borehole imager;
• a reference tool;
• and
• an information handling system coupled to the borehole imager and the reference tool, the information system comprising:
• a processor, and
• a non-transitory computer readable medium for storing one or more instructions that, when executed, causes the processor to:
• log impedance of the subsurface formation obtained from the borehole imager operating at a first one or more frequencies during a first measurement;
• log permittivity of the subsurface formation obtained from the dielectric tool operating at a second one or more frequencies during a second measurement;
• calculate a first dispersion curve of the permittivity of the subsurface formation based at least in part on the logged impedance of the subsurface formation at the first one or more frequencies;
• extrapolate the permittivity of the subsurface formation to the second one or more frequencies using the calculated first dispersion curve of the permittivity of the subsurface formation;
• calibrate permittivity of the subsurface formation based at least in part on the extrapolated permittivity of the subsurface formation at the first one or more frequencies and the logged permittivity of the subsurface formation at the second one or more frequencies;
• and
• generate a second dispersion curve of the permittivity of the subsurface formation based at least in part on one or more of the calibrated permittivity of the subsurface formation at the first one or more frequencies and the logged permittivity of the subsurface formation at the second one or more frequencies.