A Computational Channel Model for Magnetic Induction-Based Subsurface Applications

Ayuso, Natalia (Universidad de Zaragoza) ; Cuchí, José Antonio (Universidad de Zaragoza) ; Lera, Francisco (Universidad de Zaragoza) ; Villarroel, José Luis (Universidad de Zaragoza)

Resumen: There are many underground applications based on magnetic fields generated by an oscillating magnetic source. For them, a magnetic dipole in a three-layered region with upper semi-infinite air layer can be a convenient idealization used for their planning, development, and operation. Solutions are in the form of the well-known Sommerfeld integral expressions that can be evaluated by numerical methods. A set of field expressions to be numerically evaluated by an efficient algorithm are not collected comprehensively yet, or at least in a directly usable form. In this paper, the explicit magnetic field solutions for the vertical magnetic dipole and the horizontal magnetic dipole for a general source-observer location are derived from the Hertz vector. They can be properly combined to model the problem of a tilted magnetic dipole source for horizontally or inclined stratified media. As a result, a complete set of integral equations of the Sommerfeld type valid from the near zone to the far zone are formulated. A method for numerical evaluation of the field expressions for high accurate computations is described. The numerical results are validated using the finite element method for all the possible source-receiver configurations and three well-spanned frequencies of typical subsurface applications. Both numerical solutions agree according to the normalized root-mean-square error-based fit metric. Numerical results for two cases of study are presented to see its usefulness for subsurface applications. A MATLAB implementation of the mathematical description outlined in this paper and the proposed evaluation method is freely available for download.

Idioma: Inglés

DOI: 10.1029/2018RS006692

Año: 2019

Publicado en: RADIO SCIENCE 54, 9 (2019), 822-838
ISSN: 0048-6604

Factor impacto JCR: 1.305 (2019)

Categ. JCR: GEOCHEMISTRY & GEOPHYSICS rank: 60 / 84 = 0.714 (2019) - Q3 - T3
Categ. JCR: ASTRONOMY & ASTROPHYSICS rank: 50 / 68 = 0.735 (2019) - Q3 - T3
Categ. JCR: REMOTE SENSING rank: 28 / 30 = 0.933 (2019) - Q4 - T3
Categ. JCR: TELECOMMUNICATIONS rank: 74 / 90 = 0.822 (2019) - Q4 - T3
Categ. JCR: METEOROLOGY & ATMOSPHERIC SCIENCES rank: 82 / 93 = 0.882 (2019) - Q4 - T3

Factor impacto SCIMAGO: 0.474 - Condensed Matter Physics (Q2) - Electrical and Electronic Engineering (Q2) - Earth and Planetary Sciences (miscellaneous) (Q2)

Financiación: info:eu-repo/grantAgreement/ES/DGA/T45-17R
Financiación: info:eu-repo/grantAgreement/ES/MINECO-AEI-FEDER/DPI2016-76676-R
Financiación: info:eu-repo/grantAgreement/ES/MINECO/DPI2016-76676-R

Tipo y forma: Article (Published version)

Área (Departamento): Área Arquit.Tecnología Comput. (Dpto. Informát.Ingenie.Sistms.)
Área (Departamento): Área Ingen.Sistemas y Automát. (Dpto. Informát.Ingenie.Sistms.)
Área (Departamento): Area Ingeniería Agroforestal (Dpto. CC.Agrar.y Medio Natural)
Área (Departamento): Área Teoría Señal y Comunicac. (Dpto. Ingeniería Electrón.Com.)