Apparatus and Method for Simultaneously Obtaining Quantitative Measurements of Formation Resistivity and Permittivity in Both Water and Oil Based Mud

A programmable processing device adapted to be connected to a downhole tool, the downhole tool comprising a drill collar, wherein a horizontally polarized transmitter-receiver array and a vertically polarized transmitter-receiver array are disposed on opposite sides of the drill collar, each array further comprising at least a first and a second transmitter and at least a first and a second receiver, wherein the first receiver of each array is disposed between the first transmitter and the second receiver of said array and the second receiver of each array is disposed between the first receiver and the second transmitter of said array, the programmable processing device being further coupled to a memory having instructions stored thereon causing the programmable processing device to:

• receive from the downhole tool:
• apparent formation data derived from first electromagnetic signals received by the first and second receivers of each array as a result of electromagnetic signals transmitted from the first transmitter and engaging the formation;
• and
• apparent formation data derived from second electromagnetic signals received by the first and second receivers of each array as a result of electromagnetic signals transmitted from the second transmitter and engaging the formation;
• derive true formation data from the apparent formation data;
• and
• derive one or more vertical and horizontal formation parameters using the true formation measurement data.

A non-transitory computer-readable storage medium having stored thereon instructions to cause a programmable processing device to:

• receive from a downhole tool coupled to the programmable processing device:
• apparent formation data derived from first electromagnetic signals received by adjacent first and second receivers of at least one horizontally-polarized transmitter-receiver array and at least one vertically-polarized transmitter receiver array as a result of electromagnetic signals transmitted from a first transmitter engaging the formation, the first transmitter being located on a first side of the first and second receivers of each transmitter-receiver array;
• and
• apparent formation data derived from second electromagnetic signals received by the adjacent first and second receivers of each array as a result of electromagnetic signals transmitted from a second transmitter engaging the formation, the second transmitter being located on an opposite side of the first and second receivers of each transmitter-receiver array from the first side;
• derive true formation data from the apparent formation data;
• and
• derive one or more vertical and horizontal formation parameters using the true formation measurement data.