Apparatus and method for capacitive measuring of sensor standoff in boreholes filled with oil based drilling fluid

An apparatus and method for estimating the at least one resistivity parameter using at least one processor to estimate capacitance information, wherein the capacitance information is estimated using only one selected frequency electromagnetic signal. The apparatus may include at least one measure electrode. The apparatus may also include a transverse antenna. The method may include imparting an electric current at only one selected frequency into a formation using the at least one measure electrode. The method may also include using capacitance information to estimate a standoff between the at least one measure electrode and a borehole wall. In some embodiments, the estimated capacitance information may be used to reduce errors due to eccentricity.