Debye Parameters of Humidity-Varying Soils for Induction Logging Techniques

Authors

  • Andres Velasco Department of Electrical Engineering Colorado School of Mines, Golden, CO, 80401, United States
  • Atef Z. Elsherbeni Department of Electrical Engineering Colorado School of Mines, Golden, CO, 80401, United States
  • Joseph E. Diener Department of Electrical Engineering Colorado School of Mines, Golden, CO, 80401, United States
  • Mohammed F. Hadi Department of Electrical Engineering Colorado School of Mines, Golden, CO, 80401, United States

Keywords:

Complex media, Debye, dispersion analysis, FDTD method, induction logging, moisture content, soils

Abstract

This paper focuses on the tabulation of calculated Debye coefficients for a wide range of soils for source waves ranging from 300 MHz to 2 GHz. Debye coefficients of different soils will produce accurate FDTD dispersive simulations for wireline logging purposes. The FDTD dispersion analysis is based on an Auxiliary Differential Equation (ADE) method which depends on the Debye coefficients. A complex set of soil data is acquired and used in a twostep numerical solver to calculate the Debye coefficients. For a wide range of soils, Debye coefficients were developed for one, two, and three pole expansions. Most fits for one pole fits were highly inaccurate, so the coefficients generated were disregarded. Coefficients for two and three term expansions were accurate and were generated and tabulated here.

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Author Biographies

Andres Velasco, Department of Electrical Engineering Colorado School of Mines, Golden, CO, 80401, United States

Andres Velasco received his B.S. degree in Engineering Physics from Colorado School of Mines, Golden, CO, United States, in 2020. He is currently pursuing his M.S degree in Electrical Engineering at the Colorado School of Mines. His research interests include wave propagation, dispersive materials, dielectric measurements, and computational electromagnetics in cylindrical coordinate systems.

Atef Z. Elsherbeni, Department of Electrical Engineering Colorado School of Mines, Golden, CO, 80401, United States

Atef Z. Elsherbeni received an honor B.Sc. degree in Electronics and Communications, an honor B.Sc. degree in Applied Physics, and a M.Eng. degree in Electrical Engineering, all from Cairo University, Cairo, Egypt, in 1976, 1979, and 1982, respectively, and a Ph.D. degree in Electrical Engineering from Manitoba University, Winnipeg, Manitoba, Canada, in 1987. He started his engineering career as a part time Software and System Design Engineer from March 1980 to December 1982 at the Automated Data System Center, Cairo, Egypt. From January to August 1987, he was a PostDoctoral Fellow at Manitoba University. Elsherbeni joined the faculty at the University of Mississippi in August 1987 as an Assistant Professor of Electrical Engineering. He advanced to the rank of Associate Professor in July 1991, and to the rank of Professor in July 1997. He was the Associate Dean of the College of Engineering for Research and Graduate Programs from July 2009 to July 2013 at the University of Mississippi. He then joined the Electrical Engineering and Computer Science (EECS) Department at Colorado School of Mines in August 2013 as the Dobelman Distinguished Chair Professor. He was appointed the Interim Department Head for (EECS) from 2015 to 2016 and from 2016 to 2018 he was the Electrical Engineering Department head. In 2009 he was selected as Finland Distinguished Professor by the Academy of Finland and TEKES. Elsherbeni is a Fellow member of IEEE and ACES. He is the Editor-in-Chief for ACES Journal, and a past Associate Editor to the Radio Science Journal. He was the Chair of the Engineering and Physics Division of the Mississippi Academy of Science, the Chair of the Educational Activity Committee for IEEE Region 3 Section, the General Chair for the 2014 APS-URSI Symposium, the President of ACES Society from 2013 to 2015, and the IEEE Antennas and Propagation Society (APS) Distinguished Lecturer for 2020-2022.

Joseph E. Diener, Department of Electrical Engineering Colorado School of Mines, Golden, CO, 80401, United States

Joseph E. Diener received his Masters’ degree in Electrical Engineering from the Colorado School of Mines in 2017. Currently he is a Ph.D. student at the Colorado School of Mines studying Electrical Engineering. His research interests include finite difference time domain methods, antennas, microwave measurements, and phased arrays.

Mohammed F. Hadi, Department of Electrical Engineering Colorado School of Mines, Golden, CO, 80401, United States

Mohammed F. Hadi received the B.Sc. degree in Electrical Engineering from Kuwait University, in 1988, and the M.Sc. and Ph.D. degrees from the University of Colorado at Boulder in 1992 and 1996, respectively. He was a Professor with the Electrical Engineering Department and an Associate Dean at Kuwait University until 2014. He was a Visiting Research Scholar with Duke University during 2007 to 2008, and with the Colorado School of Mines from 2014 to 2016. He was also an Adjunct Professor with the University of Colorado at Boulder from 2012 to 2018. He has been a Research Professor at Colorado School of Mines since 2016. Hadi was recognized as a Consulting Expert with the Kuwait’s Court of Appeals since 2007. He has over ten years of experience in governmental work and consultations in the areas of engineering training, higher education planning, and Kuwait’s labor profile studies. His current research interests include FDTD development for modeling electrically large structures as well as FDTD algorithm optimizations in curvilinear coordinates. Hadi served as a Board Member of the Kuwait Fund for Arab Economic Development’s prestigious National Engineers Training Program for several years. He held membership and chair positions in several high-level governmental inquiries at the Kuwait’s Ministries of Defense, Trade and Industry, Energy, and Higher Education, including the membership of Kuwait’s Private Universities Executive Office and the Counselor for the Minister of Trade and Industry. He also served on the Technical Program Committees for several conferences by the IEEE and the Applied Computational Electromagnetics Society.

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Published

2020-09-01

How to Cite

[1]
Andres Velasco, Atef Z. Elsherbeni, Joseph E. Diener, and Mohammed F. Hadi, “Debye Parameters of Humidity-Varying Soils for Induction Logging Techniques”, ACES Journal, vol. 35, no. 9, pp. 979–974, Sep. 2020.

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