B-polarization induction in two generalized thin sheets at the surface of a conducting half-space
Identifieur interne : 005B28 ( Main/Merge ); précédent : 005B27; suivant : 005B29B-polarization induction in two generalized thin sheets at the surface of a conducting half-space
Auteurs : T. W. Dawsonn [Canada] ; J. T. Weaver [Canada] ; U. Raval [Canada]Source :
- Geophysical Journal International [ 0956-540X ] ; 1982-04.
Abstract
A new closed-form solution is obtained analytically for a B-polarization induction problem of geophysical interest, in which a local region of the Earth is represented by a generalized thin sheet at the surface of and in electrical contact with a uniformly conducting half-space. The generalized sheet, first introduced by Ranganayaki & Madden, is a mathematical idealization of a double layer which consists, in this problem, of two adjacent half-planes with distinct conductances representing a surface conductivity discontinuity such as an ocean—coast boundary, underlain by a uniform sheet of finite integrated resistivity representing the lower crust. The resistive sheet exerts a considerable mathematical influence on the solution causing, under certain conditions, an additional pole to appear in one of the forms of contour integral by which the solution can be expressed; it also weakens or eliminates field singularities that would otherwise occur at the conductance discontinuity. A numerical calculation is made for model parameters typifying an ocean—coast boundary underlain by a highly resistive crust. It is found that the residue of the pole associated with the resistive sheet dominates the solution for this example, the main consequence of which is a huge increase in the horizontal range over which the induced currents adjust themselves between the different ‘skin-effect’ distributions at infinity on either side of the model. Moreover the solution shows that this ‘adjustment distance’ has a more complicated dependence on the conductance and integrated resistivity of the sheet than that given simply by the square root of their product which was the length parameter proposed by Ranganayaki & Madden.
Url:
DOI: 10.1111/j.1365-246X.1982.tb04945.x
Links toward previous steps (curation, corpus...)
- to stream Istex, to step Corpus: 001887
- to stream Istex, to step Curation: 001887
- to stream Istex, to step Checkpoint: 002676
Links to Exploration step
ISTEX:C8C425C44F38526D026EF3DECA2A095705302905Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title>B-polarization induction in two generalized thin sheets at the surface of a conducting half-space</title><author><name sortKey="Dawsonn, T W" sort="Dawsonn, T W" uniqKey="Dawsonn T" first="T. W." last="Dawsonn">T. W. Dawsonn</name></author><author><name sortKey="Weaver, J T" sort="Weaver, J T" uniqKey="Weaver J" first="J. T." last="Weaver">J. T. Weaver</name></author><author><name sortKey="Raval, U" sort="Raval, U" uniqKey="Raval U" first="U." last="Raval">U. Raval</name></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:C8C425C44F38526D026EF3DECA2A095705302905</idno><date when="1982" year="1982">1982</date><idno type="doi">10.1111/j.1365-246X.1982.tb04945.x</idno><idno type="url">https://api-v5.istex.fr/document/C8C425C44F38526D026EF3DECA2A095705302905/fulltext/pdf</idno><idno type="wicri:Area/Istex/Corpus">001887</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">001887</idno><idno type="wicri:Area/Istex/Curation">001887</idno><idno type="wicri:Area/Istex/Checkpoint">002676</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">002676</idno><idno type="wicri:doubleKey">0956-540X:1982:Dawsonn T:b:polarization:induction</idno><idno type="wicri:Area/Main/Merge">005B28</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a">B-polarization induction in two generalized thin sheets at the surface of a conducting half-space</title><author><name sortKey="Dawsonn, T W" sort="Dawsonn, T W" uniqKey="Dawsonn T" first="T. W." last="Dawsonn">T. W. Dawsonn</name><affiliation wicri:level="1"><country xml:lang="fr">Canada</country><wicri:regionArea>Defence Research Establishment Pacific, FMO, Victoria, British Columbia V0S 1B0</wicri:regionArea><wicri:noRegion>British Columbia V0S 1B0</wicri:noRegion></affiliation></author><author><name sortKey="Weaver, J T" sort="Weaver, J T" uniqKey="Weaver J" first="J. T." last="Weaver">J. T. Weaver</name><affiliation wicri:level="1"><country xml:lang="fr">Canada</country><wicri:regionArea>Department of Physics, University of Victoria, Victoria, British Columbia V8W 2Y2</wicri:regionArea><wicri:noRegion>British Columbia V8W 2Y2</wicri:noRegion></affiliation></author><author><name sortKey="Raval, U" sort="Raval, U" uniqKey="Raval U" first="U." last="Raval">U. Raval</name><affiliation wicri:level="1"><country xml:lang="fr">Canada</country><wicri:regionArea>Department of Physics, University of Victoria, Victoria, British Columbia V8W 2Y2</wicri:regionArea><wicri:noRegion>British Columbia V8W 2Y2</wicri:noRegion></affiliation></author></analytic><monogr></monogr><series><title level="j">Geophysical Journal International</title><title level="j" type="abbrev">Geophys. J. Int.</title><idno type="ISSN">0956-540X</idno><idno type="eISSN">1365-246X</idno><imprint><publisher>Blackwell Publishing Ltd</publisher><pubPlace>Oxford, UK</pubPlace><date type="published" when="1982-04">1982-04</date><biblScope unit="volume">69</biblScope><biblScope unit="issue">1</biblScope><biblScope unit="page" from="209">209</biblScope><biblScope unit="page" to="234">234</biblScope></imprint><idno type="ISSN">0956-540X</idno></series></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0956-540X</idno></seriesStmt></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract">A new closed-form solution is obtained analytically for a B-polarization induction problem of geophysical interest, in which a local region of the Earth is represented by a generalized thin sheet at the surface of and in electrical contact with a uniformly conducting half-space. The generalized sheet, first introduced by Ranganayaki & Madden, is a mathematical idealization of a double layer which consists, in this problem, of two adjacent half-planes with distinct conductances representing a surface conductivity discontinuity such as an ocean—coast boundary, underlain by a uniform sheet of finite integrated resistivity representing the lower crust. The resistive sheet exerts a considerable mathematical influence on the solution causing, under certain conditions, an additional pole to appear in one of the forms of contour integral by which the solution can be expressed; it also weakens or eliminates field singularities that would otherwise occur at the conductance discontinuity. A numerical calculation is made for model parameters typifying an ocean—coast boundary underlain by a highly resistive crust. It is found that the residue of the pole associated with the resistive sheet dominates the solution for this example, the main consequence of which is a huge increase in the horizontal range over which the induced currents adjust themselves between the different ‘skin-effect’ distributions at infinity on either side of the model. Moreover the solution shows that this ‘adjustment distance’ has a more complicated dependence on the conductance and integrated resistivity of the sheet than that given simply by the square root of their product which was the length parameter proposed by Ranganayaki & Madden.</div></front></TEI></record>Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Canada/explor/ParkinsonCanadaV1/Data/Main/Merge
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 005B28 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Merge/biblio.hfd -nk 005B28 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien
|wiki= Wicri/Canada
|area= ParkinsonCanadaV1
|flux= Main
|étape= Merge
|type= RBID
|clé= ISTEX:C8C425C44F38526D026EF3DECA2A095705302905
|texte= B-polarization induction in two generalized thin sheets at the surface of a conducting half-space
}}
| This area was generated with Dilib version V0.6.29. |  |