The Magnetic Field at the Surface of a Stratified Flat Conductor in the Field of Plane Waves With Application to Geophysics

Dosso, H. W.

doi:10.1139/p62-164

Cited by 2 publications

(9 citation statements)

References 2 publications

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“…The behavior of the vertical and the horizontal magnetic-field coinponents a t the surface of a two-layer flat conductor for incident plane waves was studied in an earlier work (Dosso 1962). The amplitude and phase of the vertical component were found to be highly dependent on the frequency of the magnetic variations and the conductivity and structure of the conductor, whereas the horizontal component was constant in the frequency and conductivity ranges considered.…”

Section: Introductionmentioning

confidence: 92%

“…4. The dependence of E, on frequency in the range j = 1 to 32 cycles/second for dp = lo3 cm, d3 = 1.6 X 104 cm, z = 0 cm, and 0 = 45". a single conducting layer of infinite depth, H z varies approximately as the square root of the frequency (Dosso 1962) and hence the E, considered here would have the same dependence. In Fig.…”

Section: Pilati-iematical Analysismentioning

confidence: 98%

“…Extensive coinputations were carried out for varying angle of incidence, frequency, conductivity, and thickness of the upper two conducting layers. The conductivities and frequencies considered are the same as those used previously (Dosso 1962), a = 10-l1 e.m.u. to 10-lG e.m.u.…”

Section: Pilati-iematical Analysismentioning

confidence: 99%

“…Calculations carried out by Dosso and Lokken (1961) and Dosso (1962) using a plane-wave model for geomagnetic inicropulsations predict a much smaller vertical-to-horizontal magnetic-field ratio than is observed in actual field illeasureinents (Duffus et al 1960(Duffus et al , 1961Christoffel et al 1961). This is to be expected since the plane-wave model assumes a very distant uniforill current sheet of infinite extent and a horizontally layered conducting halfspace, whereas the magnitude and distribution of the observed vertical component are associated with the linear dimensions of the source and conductor.…”

Section: Introductionmentioning

confidence: 96%

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The Electric and Magnetic Fields in a Stratified Flat Conductor for Incident Plane Waves

Dosso¹

1965

Can. J. Phys.

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BSTRACTThe electric and magnetic fields in the upper layer of a stratified flat conductor in the field of plane waves are studied. Expressions for the amplitude and phase of the components of the electric and magnetic fields are obtained and evaluated for various frequencies, angles of incidence, layer thicknesses, depths, and conductivities. The conductivities u = lo-" to 10-l".m.u. and the frequencies f = to 10' cycles/second considered are of interest in geophysics.

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Section: Introductionmentioning

confidence: 92%

Section: Pilati-iematical Analysismentioning

confidence: 98%

Section: Pilati-iematical Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 96%

See 2 more Smart Citations

The Electric and Magnetic Fields in a Stratified Flat Conductor for Incident Plane Waves

Dosso¹

1965

Can. J. Phys.

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“…Rankin et al (1965) have described a magnetotelluric model consisting of an oscillating line current over a conducting salt solution which represented the upper layer of the earth. Dosso (1966) has described a model employing a uniform source field. He discussed the validity of the model in the simple case of horizontal layers of uniform conductivity, by comparing the measured values of the amplitudes and phases of the horizontal electric and horizontal magnetic field components with calculated values (Dosso 1962(Dosso , 1965.…”

Section: Introductionmentioning

confidence: 99%

Analogue Model Measurements for Electromagnetic Variations Near Vertical Faults and Dykes

Dosso¹

1966

Can. J. Earth Sci.

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An analogue model for studying the behavior of the natural geomagnetic and telluric field variations for various geological structures is described. Measurements of amplitudes and phases for the horizontal electric, the horizontal magnetic, and the vertical magnetic field components are obtained and discussed for various conducting vertical faults and dykes for both the H a n d the E polariza- tions. INTRODUCTIONA comparison of the amplitudes and phases of the natural geomagnetic and telluric field variations provides a method for obtaining information on the earth's crustal structure. The behavior of the naturally occurring electromagnetic variations observed a t the earth's surface is in general determined by the nature of the source field and by the distribution of electrical conductivity within the earth. Although much work has been done since the suggestion by Schuster (1889) that the conductivity distribution could be studied by measurements of the magnetic variations a t the surface of the earth, many interesting problems still remain. One problem of continuing interest is the study of the behavior of the electromagnetic field components in the neighborhood of discontinuities in conductivity, such as are found a t coastlines and faults in the earth's crust.The magnetotelluric method of analysis was suggested by Kato and Kikuchi (1950) and by Tikhonov (1950), and outlined by Cagniard (1953). The analysis assumes plane waves incident on a horizontally stratified conductor, and requires, as discussed by Wait (1954), that the fields be essentially constant from the point of observation to a horizontal distance of the order of a "skin depth" in a uniform conductor of infinite depth. Since the electromagnetic field is not uniform in the neighborhood of discontinuities in conductivity in the horizontal direction, the magnetotelluric method has limited validity in coastline and fault problems.Another method of analysis in common use a t present is based on the three conlponents of the natural magnetic field variations. The ratios of the amplitudes, together with the relative phases, are diagnostic of the subsurface structure.The problem of conductivity discontinuities has received considerable attention in recent years. The case of the magnetic field parallel to the trace of a vertical fault was studied by d' Erceville and Kunetz (1962). I t was extended to the case of a dyke discontinuity by Rankin (1962). Weaver (1962) treated the case of the magnetic field normal to the trace of the fault. His results indicate that the amplitude of the vertical magnetic field component increases sharply

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The Magnetic Field at the Surface of a Stratified Flat Conductor in the Field of Plane Waves With Application to Geophysics

Cited by 2 publications

References 2 publications

The Electric and Magnetic Fields in a Stratified Flat Conductor for Incident Plane Waves

The Electric and Magnetic Fields in a Stratified Flat Conductor for Incident Plane Waves

Analogue Model Measurements for Electromagnetic Variations Near Vertical Faults and Dykes

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