Method and apparatus for determining resistivity and dielectric

Data processing: measuring – calibrating – or testing – Measurement system in a specific environment – Earth science

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G01V 326

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060920246

ABSTRACT:
An apparatus and a method for determining the conductivity and dielectric constants of an anisotropic formation uses a redundant set of electromagnetic measurements in combination with anisotropic formation models that relate the anisotropic conductivity and dielectric constant of the formation to measurements of a propagating electromagnetic wave in the formation. A conjugate gradient scheme or a Newton-Raphson algorithm is used to obtain solutions to the nonlinear equations of propagation. The solutions to the equations are usually non-unique and are also susceptible to measurement errors. Use of redundant measurements makes it possible to resolve the non-uniqueness. The redundancy is obtained by using multiple frequency and/or multiple spacing tools. The use of redundant measurements also makes it possible to reduce the error in the solution of the wave propagation equation.

REFERENCES:
patent: 5329448 (1994-07-01), Rosthal
patent: 5656930 (1997-08-01), Hagiwara
patent: 5811973 (1998-09-01), Meyer, Jr.
patent: 5869968 (1999-02-01), Brooks et al.
patent: 5886526 (1999-03-01), Wu
"Effects of Formation Anisotropy on Resistivity-Logging Measurements", J.H. Moran and S. Gianzero, Society of Explortion Geophysicists, 1979, pp. 1266-1286.
"Response of 2-MHz LWD Resistivity and Wireline Inductrion Tool in Dipping Beds and Laminated Formations", Barbara Anderson, Stephen Bonner, Martin G. Luling and Richard Rosthal, SPWLA 31.sup.st Annual Logging Symposium, Jun. 24-27, 1990.
"Effects of Eccentering MWD Tools on Electromagnetic Resistivity Measurements", Jian-qun Wu, and Macmillan M. Wisler, SPWLA 35.sup.st Annual Logging Symposium, Jun. 24-27, 1990.
"The Effects of Rock Anisotropy on MWD Electromagnetic Wave Resistivity Sensors", Michael S. Bittar, Paul F. Rodney, SPWLA 35.sup.th Annual Logging Symposium, Jun. 19-22, 1994.
Processing and Modeling 2-MHz Resistivity Tools in Dipping, Laminated, Anistotropic Formations, Martin G. Luling, Richard A. Rosthal, Frank Shray, SPWLA 35.sup.th Annual Logging Symposium, Jun. 19-22, 1994.
"A New Method to Determine Horizontal-Resistivity in Anisotrophi Formations without Prior Knowledge of Relative Dip", T. Hagiwara, SPWLA 37.sup.th Annual Logging Symposium, Jun. 16-9, 1996.

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