Abstract: A coil array for high resolution induction logging comprises a transmitter, a first receiver set positioned at a first distance from the transmitter and a second receiver set positioned at a second distance from the transmitter, and the second receiver set includes at least one portion of the first receiver set. Also disclosed is a method for deriving an apparent conductivity log from at least one induction well log that comprises a plurality of depth samples, comprising the steps of raising each depth sample of the apparent conductivity signal to several predetermined powers to generate a plurality of powers of conductivity, convolving in depth the powers of conductivity with a plurality of filters, where each power has a distinct filter, and summing the results of all of the convolutions to produce a conductivity log that is substantially free from the effects of adjacent beds and the nonlinear effects of true conductivity.

Abstract: A coil array for high resolution induction logging comprises a transmitter, a first receiver set and a second receiver set. The second receiver set includes at least one portion of the first receiver set. A method for deriving an apparent conductivity log from at least one induction well log that comprises a plurality of depth samples comprises raising each depth sample to several predetermined powers, convolving in depth the powers of conductivity, and summing the convolutions to produce a conductivity log. An apparatus for measuring the resistivity of an earth formation, comprises a transmitter energized by a time-varying, periodic voltage, a set of receivers generating a receiver voltage, an analog-to-digital converter that outputs a digitized voltage signal, and a processor that receives the digitized voltage signal.

Abstract: A coil array for high resolution induction logging comprises a transmitter, a first receiver set and a second receiver set. The second receiver set includes at least one portion of the first receiver set. A method for deriving an apparent conductivity log from at least one induction well log that comprises a plurality of depth samples, comprises raising each depth sample to several predetermined powers, convolving in depth the powers of conductivity, and summing the convolutions to produce a conductivity log. An apparatus for measuring the resistivity of an earth formation, comprises a transmitter energized by a time-varying, periodic voltage, a set of receivers generating a receiver voltage, an analog-to-digital converter that outputs a digitized voltage signal, and a processor that receives the digitized voltage signal.

Abstract: A coil array for high resolution induction logging comprises a transmitter, a first receiver set positioned at a first distance from the transmitter and a second receiver set positioned at a second distance from the transmitter, and the second receiver set includes at least one portion of the first receiver set. Also disclosed is a method for deriving an apparent conductivity log from at least one induction well log that comprises a plurality of depth samples, comprising the steps of raising each depth sample of the apparent conductivity signal to several predetermined powers to generate a plurality of powers of conductivity, convolving in depth the powers of conductivity with a plurality of filters, where each power has a distinct filter, and summing the results of all of the convolutions to produce a conductivity log that is substantially free from the effects of adjacent beds and the nonlinear effects of true conductivity.

Abstract: A coil array for high resolution induction logging comprises a transmitter, a first receiver set positioned at a first distance from the transmitter and a second receiver set positioned at a second distance from the transmitter, and the second receiver set includes at least one portion of the first receiver set. Also disclosed is a method for deriving an apparent conductivity log from at least one induction well log that comprises a plurality of depth samples, comprising the steps of raising each depth sample of the apparent conductivity signal to several predetermined powers to generate a plurality of powers of conductivity, convolving in depth the powers of conductivity with a plurality of filters, where each power has a distinct filter, and summing the results of all of the convolutions to produce a conductivity log that is substantially free from the effects of adjacent beds and the nonlinear effects of true conductivity.