Scattering Of Electromagnetic Plane Waves By A Buried Vertical Dike

Batista, Lurimar Smera; Sampaio, Edson E. S.

doi:10.3997/2214-4609-pdb.215.sbgf179

Cited by 1 publication

(3 citation statements)

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“…Everywhere, the dielectric permittivities and magnetic permeabilities are assumed to be free‐space values. Batista and Sampaio (1999) determined an exact solution to this TE‐mode problem in the form of two series of functions for each field component in each medium. We employed the first non‐zero terms of their series to compute the electromagnetic‐field components and to compute, subsequently, the relevant geophysical quantities.…”

Section: Scattering Of the Electromagnetic‐field Componentsmentioning

confidence: 99%

“…In spite of their versatility the results obtained with these techniques must be cross‐checked with each other and with analytical results. Among the articles that discuss analytical solutions of two‐dimensional problems are those by d'Erceville and Kunetz (1962), Weaver (1963) and Sampaio and Fokkema (1992) for the vertical fault, by Geyer (1972) for the inclined fault, and by Rankin (1962), Sampaio (1976) and Batista and Sampaio (1999) for the vertical dike.…”

Section: Introductionmentioning

confidence: 99%

“…Here, we set up a method to interpret vertical faults and dikes by curve fitting, when scattering a TE‐mode plane‐wave primary field, suitable for the polarization‐ellipsoid methods. The algebra and the relative accuracy involved in the calculation of the electric‐field component is essentially as described by Sampaio and Fokkema (1992) for the vertical fault, and by Batista and Sampaio (1999) for the vertical dike, and they will not be further discussed here. We employed the results of these two papers to calculate the parameters of the magnetic‐field ellipsoid.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Electromagnetic profiling interpretation across vertical faults and dikes

Sampaio

Dias

2001

Geophysical Prospecting

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When a vertical fault or dike scatters a normally incident TE‐mode plane wave, the horizontal components of the electric and the magnetic fields vary along the direction perpendicular to the strike. This scattering is also responsible for the formation of a vertical component of the magnetic field, which also varies along the direction perpendicular to the strike. Analysis of the lateral variations of the field components permits the identification of the type of geological structure, either fault or dike, as well as an estimate of the position of the geological contacts and the electrical conductivity of each medium. Previous exact analytical solutions have shown that two Fourier cosine integrals can express each field component. A series of functions specified for each model represent the kernel of each integral. From the field components obtained from the first non‐zero term of each series, we calculated the following functions: the dip angle and the ellipticity of the vertical polarization ellipse in a plane perpendicular to the strike of the structure, and the azimuth and the ellipticity of the horizontal ellipse. We established master‐curves of these functions for the interpretation of vertical faults and dikes for the polarization ellipsoid, for instance VLF or audio‐frequency methods. This representation has as variable the induction number , and as parameters σ2/σ1 and , where a denotes the half‐thickness of the dike. The interpretation procedure using curve fitting is possible because the induction number is represented on a logarithmic scale. This procedure represents an important step before automatic interpretation is carried out. Two case histories using field data illustrate the effectiveness of the procedure and the type of quantitative interpretation obtained from it.

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Section: Scattering Of the Electromagnetic‐field Componentsmentioning

confidence: 99%