Method for fitting a sum of exponentials to experimental data by linearization using a numerical integration approximation, and its application to well log data

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United States of America Patent

PATENT NO 7088097
APP PUB NO 20060145695A1
SERIAL NO

11030718

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ATTORNEY / AGENT: (SPONSORED)

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Abstract

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A method for analyzing formations using measurements from a detector in response to energy imparted therein. The measurements have characteristics which exponentially reduce in magnitude with time. The method includes (a) determining, an N-th order integral of the value of each measurement from an initial time to the time of each measurement, wherein N represents a number of exponentially decaying characteristics; b) determining a solution to a system of linear equations relating the measurements to the integrals, the solution representing polynomials of order N related to a decay rate and an initial measurement amplitude for each component; (c) solving the polynomials to determine the decay rate and the initial amplitude for each component; (d) determining if the decay rates and initial amplitudes are within possible limits; and (e) incrementing N and repeating (a) through (d) until the decay rates or the initial amplitudes are not within possible limits.

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Patent Owner(s)

Patent OwnerAddress
KJT ENTERPRISES INC6420 RICHMOND AVE SUITE 610 HOUSTON TX 77057

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Inventor(s)

Inventor Name Address # of filed Patents Total Citations
Jeri{hacek, over c 1 1
}evi, Zeljko Houston, TX 1 1

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