Methods and systems for obtaining an electrical impedivity and/or resistivity image of a subterranean formation

1. A method for obtaining a composite image of a subterranean formation, the method comprising:

measuring impedance data within a subterranean formation;

determining first formation impedivity data by performing a first formation impedivity determination process;

determining second formation impedivity data by performing a second formation impedivity determination process;

combining a portion of the first formation impedivity data with a portion of the second formation impedivity data to determine a combined formation impedivity data; and

generating the composite image using the combined formation impedivity data;

wherein measuring the impedance data includes measuring the impedance data at a first frequency, measuring the impedance data at a second frequency that is lower than the first frequency, and measuring the impedance data at a third frequency that is lower than the second frequency;

wherein the first formation impedivity data is based on a component of the measured impedance data orthogonal a downhole fluid impedance and the first formation impedivity determination process includes:

determining first orthogonal data based on an orthogonal component of the impedance data measured at the first frequency,

determining second orthogonal data based on an orthogonal component of the impedance data measured at the second frequency,

determining third orthogonal data based on an orthogonal component of the impedance data measured at the third frequency,

combining the first orthogonal data with the second orthogonal data to obtain first composite orthogonal data, and

combining the first composite orthogonal data with the third orthogonal data to obtain the first formation impedivity data; and

wherein the second formation impedivity data is based on an amplitude of the measured impedance data, and the second formation impedivity determination process includes:

determining an amplitude of the impedance data measured at the third frequency,

determining a downhole fluid correction value, and

subtracting the downhole fluid correction from the amplitude of the impedance data measured at the third frequency.

2. A system for obtaining a composite image of a subterranean formation, the system comprising:

a tool for investigating a subterranean formation;

a measurement unit disposed on the tool, the measurement unit adapted to measure impedance data from the subterranean formation; and

a processor connected to the measurement unit, the processor including one or more components adapted to:

perform a first formation impedivity determination process to determine first formation impedivity data,

perform a second formation impedivity determination process to determine second formation impedivity data, and

combine a portion of the first formation impedivity data with a portion of the second formation impedivity data to determine combined formation impedivity data, and

generate the composite image of the subterranean formation using the combined formation impedivity data;

wherein the measurement unit is further adapted to measure the impedance data at a first frequency, at a second frequency that is lower than the first frequency, and at a third frequency that is lower than the second frequency;

wherein the first formation impedivity data is based on a component of the measured impedance data orthogonal a downhole fluid impedance and the second formation impedivity data is based on an amplitude of the measured impedance data;

wherein to perform the first formation impedivity determination process, the one or more components of the processor are further adapted to:

determine first orthogonal data based on an orthogonal component of the impedance data measured at the first frequency,

determine second orthogonal data based on an orthogonal component of the impedance data measured at the second frequency,

determine third orthogonal data based on an orthogonal component of the impedance data measured at the third frequency,

combine the first orthogonal data with the second orthogonal data to obtain first composite orthogonal data, and

combine the first composite orthogonal data with the third orthogonal data to obtain the first formation impedivity data; and

wherein to perform the second formation impedivity determination process, the one or more components of the processor are further adapted to:

determine an amplitude of the impedance data measured at the third frequency;

determine a downhole fluid correction value; and

subtract the downhole fluid correction from the amplitude of the impedance data measured at the third frequency.