a method for modeling borehole effects of a transverse array induction tool includes selecting a formation - borehole model having a set of parameters , wherein the set of parameters comprises a direction of tool eccentering ; determining initial values for the set of parameters ; computing expected responses for a selected set of arrays from the plurality of arrays of the induction tool , wherein the computing is based on the formation - borehole model ; comparing the expected responses with actual responses for the selected set of arrays ; adjusting values of the set of parameters , if a difference between the expected responses and the actual responses is no less than a predetermined criterion ; repeating the computing , the comparing , and the adjusting , until the difference between the expected responses and the actual responses is less than the predetermined criterion ; determining the borehole effects from final values of the set of parameters .