Three-dimensional magnetotelluric inversion using conjugate gradients
We have developed an inversion procedure that uses conjugate gradient relaxation methods. Although one can generalize the method to all inverse problems, we demonstrate its use to invert magnetotelluric data for 3-D earth models. This procedure allows us to bypass the actual computation of the sensi...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Mackie, Randall L. [verfasserIn] Madden, Theodore R. [verfasserIn] |
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| Format: |
E-Artikel |
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| Erschienen: |
Oxford, UK: Blackwell Publishing Ltd ; 1993 |
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| Schlagwörter: |
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| Umfang: |
Online-Ressource |
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| Reproduktion: |
2007 ; Blackwell Publishing Journal Backfiles 1879-2005 |
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| Übergeordnetes Werk: |
In: Geophysical journal international - Oxford . Wiley-Blackwell, 1922, 115(1993), 1, Seite 0 |
| Übergeordnetes Werk: |
volume:115 ; year:1993 ; number:1 ; pages:0 |
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| DOI / URN: |
10.1111/j.1365-246X.1993.tb05600.x |
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| 520 | |a We have developed an inversion procedure that uses conjugate gradient relaxation methods. Although one can generalize the method to all inverse problems, we demonstrate its use to invert magnetotelluric data for 3-D earth models. This procedure allows us to bypass the actual computation of the sensitivity matrix A or the inversion of the ATA term. In fact, with the relaxation approach, one only needs to compute the effect of the sensitivity matrix or its transpose multiplying an arbitrary vector. We show that each of these requires one forward problem with a distributed set of sources either in the volume (for A multiplying a vector) or on the surface (for AT multiplying a vector). This significantly reduces the computational requirements needed to do a 3-D inversion. For this paper, we have simplified the boundary conditions by assuming the model is repeated in the horizontal directions, but this is not a necessary constraint of the method. The algorithm reduces data errors to the 2 per cent level for noise-free synthetic 3-D magnetotelluric data. | ||
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10.1111/j.1365-246X.1993.tb05600.x doi (DE-627)NLEJ239651219 DE-627 ger DE-627 rakwb Mackie, Randall L. verfasserin aut Three-dimensional magnetotelluric inversion using conjugate gradients Oxford, UK Blackwell Publishing Ltd 1993 Online-Ressource nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We have developed an inversion procedure that uses conjugate gradient relaxation methods. Although one can generalize the method to all inverse problems, we demonstrate its use to invert magnetotelluric data for 3-D earth models. This procedure allows us to bypass the actual computation of the sensitivity matrix A or the inversion of the ATA term. In fact, with the relaxation approach, one only needs to compute the effect of the sensitivity matrix or its transpose multiplying an arbitrary vector. We show that each of these requires one forward problem with a distributed set of sources either in the volume (for A multiplying a vector) or on the surface (for AT multiplying a vector). This significantly reduces the computational requirements needed to do a 3-D inversion. For this paper, we have simplified the boundary conditions by assuming the model is repeated in the horizontal directions, but this is not a necessary constraint of the method. The algorithm reduces data errors to the 2 per cent level for noise-free synthetic 3-D magnetotelluric data. 2007 Blackwell Publishing Journal Backfiles 1879-2005 |2007|||||||||| magnetotellurics Madden, Theodore R. verfasserin aut In Geophysical journal international Oxford . Wiley-Blackwell, 1922 115(1993), 1, Seite 0 Online-Ressource (DE-627)NLEJ243927827 (DE-600)2006420-2 1365-246X nnns volume:115 year:1993 number:1 pages:0 http://dx.doi.org/10.1111/j.1365-246X.1993.tb05600.x text/html Verlag Deutschlandweit zugänglich Volltext GBV_USEFLAG_U ZDB-1-DJB GBV_NL_ARTICLE AR 115 1993 1 0 |
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10.1111/j.1365-246X.1993.tb05600.x doi (DE-627)NLEJ239651219 DE-627 ger DE-627 rakwb Mackie, Randall L. verfasserin aut Three-dimensional magnetotelluric inversion using conjugate gradients Oxford, UK Blackwell Publishing Ltd 1993 Online-Ressource nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We have developed an inversion procedure that uses conjugate gradient relaxation methods. Although one can generalize the method to all inverse problems, we demonstrate its use to invert magnetotelluric data for 3-D earth models. This procedure allows us to bypass the actual computation of the sensitivity matrix A or the inversion of the ATA term. In fact, with the relaxation approach, one only needs to compute the effect of the sensitivity matrix or its transpose multiplying an arbitrary vector. We show that each of these requires one forward problem with a distributed set of sources either in the volume (for A multiplying a vector) or on the surface (for AT multiplying a vector). This significantly reduces the computational requirements needed to do a 3-D inversion. For this paper, we have simplified the boundary conditions by assuming the model is repeated in the horizontal directions, but this is not a necessary constraint of the method. The algorithm reduces data errors to the 2 per cent level for noise-free synthetic 3-D magnetotelluric data. 2007 Blackwell Publishing Journal Backfiles 1879-2005 |2007|||||||||| magnetotellurics Madden, Theodore R. verfasserin aut In Geophysical journal international Oxford . Wiley-Blackwell, 1922 115(1993), 1, Seite 0 Online-Ressource (DE-627)NLEJ243927827 (DE-600)2006420-2 1365-246X nnns volume:115 year:1993 number:1 pages:0 http://dx.doi.org/10.1111/j.1365-246X.1993.tb05600.x text/html Verlag Deutschlandweit zugänglich Volltext GBV_USEFLAG_U ZDB-1-DJB GBV_NL_ARTICLE AR 115 1993 1 0 |
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10.1111/j.1365-246X.1993.tb05600.x doi (DE-627)NLEJ239651219 DE-627 ger DE-627 rakwb Mackie, Randall L. verfasserin aut Three-dimensional magnetotelluric inversion using conjugate gradients Oxford, UK Blackwell Publishing Ltd 1993 Online-Ressource nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We have developed an inversion procedure that uses conjugate gradient relaxation methods. Although one can generalize the method to all inverse problems, we demonstrate its use to invert magnetotelluric data for 3-D earth models. This procedure allows us to bypass the actual computation of the sensitivity matrix A or the inversion of the ATA term. In fact, with the relaxation approach, one only needs to compute the effect of the sensitivity matrix or its transpose multiplying an arbitrary vector. We show that each of these requires one forward problem with a distributed set of sources either in the volume (for A multiplying a vector) or on the surface (for AT multiplying a vector). This significantly reduces the computational requirements needed to do a 3-D inversion. For this paper, we have simplified the boundary conditions by assuming the model is repeated in the horizontal directions, but this is not a necessary constraint of the method. The algorithm reduces data errors to the 2 per cent level for noise-free synthetic 3-D magnetotelluric data. 2007 Blackwell Publishing Journal Backfiles 1879-2005 |2007|||||||||| magnetotellurics Madden, Theodore R. verfasserin aut In Geophysical journal international Oxford . Wiley-Blackwell, 1922 115(1993), 1, Seite 0 Online-Ressource (DE-627)NLEJ243927827 (DE-600)2006420-2 1365-246X nnns volume:115 year:1993 number:1 pages:0 http://dx.doi.org/10.1111/j.1365-246X.1993.tb05600.x text/html Verlag Deutschlandweit zugänglich Volltext GBV_USEFLAG_U ZDB-1-DJB GBV_NL_ARTICLE AR 115 1993 1 0 |
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10.1111/j.1365-246X.1993.tb05600.x doi (DE-627)NLEJ239651219 DE-627 ger DE-627 rakwb Mackie, Randall L. verfasserin aut Three-dimensional magnetotelluric inversion using conjugate gradients Oxford, UK Blackwell Publishing Ltd 1993 Online-Ressource nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We have developed an inversion procedure that uses conjugate gradient relaxation methods. Although one can generalize the method to all inverse problems, we demonstrate its use to invert magnetotelluric data for 3-D earth models. This procedure allows us to bypass the actual computation of the sensitivity matrix A or the inversion of the ATA term. In fact, with the relaxation approach, one only needs to compute the effect of the sensitivity matrix or its transpose multiplying an arbitrary vector. We show that each of these requires one forward problem with a distributed set of sources either in the volume (for A multiplying a vector) or on the surface (for AT multiplying a vector). This significantly reduces the computational requirements needed to do a 3-D inversion. For this paper, we have simplified the boundary conditions by assuming the model is repeated in the horizontal directions, but this is not a necessary constraint of the method. The algorithm reduces data errors to the 2 per cent level for noise-free synthetic 3-D magnetotelluric data. 2007 Blackwell Publishing Journal Backfiles 1879-2005 |2007|||||||||| magnetotellurics Madden, Theodore R. verfasserin aut In Geophysical journal international Oxford . Wiley-Blackwell, 1922 115(1993), 1, Seite 0 Online-Ressource (DE-627)NLEJ243927827 (DE-600)2006420-2 1365-246X nnns volume:115 year:1993 number:1 pages:0 http://dx.doi.org/10.1111/j.1365-246X.1993.tb05600.x text/html Verlag Deutschlandweit zugänglich Volltext GBV_USEFLAG_U ZDB-1-DJB GBV_NL_ARTICLE AR 115 1993 1 0 |
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10.1111/j.1365-246X.1993.tb05600.x doi (DE-627)NLEJ239651219 DE-627 ger DE-627 rakwb Mackie, Randall L. verfasserin aut Three-dimensional magnetotelluric inversion using conjugate gradients Oxford, UK Blackwell Publishing Ltd 1993 Online-Ressource nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We have developed an inversion procedure that uses conjugate gradient relaxation methods. Although one can generalize the method to all inverse problems, we demonstrate its use to invert magnetotelluric data for 3-D earth models. This procedure allows us to bypass the actual computation of the sensitivity matrix A or the inversion of the ATA term. In fact, with the relaxation approach, one only needs to compute the effect of the sensitivity matrix or its transpose multiplying an arbitrary vector. We show that each of these requires one forward problem with a distributed set of sources either in the volume (for A multiplying a vector) or on the surface (for AT multiplying a vector). This significantly reduces the computational requirements needed to do a 3-D inversion. For this paper, we have simplified the boundary conditions by assuming the model is repeated in the horizontal directions, but this is not a necessary constraint of the method. The algorithm reduces data errors to the 2 per cent level for noise-free synthetic 3-D magnetotelluric data. 2007 Blackwell Publishing Journal Backfiles 1879-2005 |2007|||||||||| magnetotellurics Madden, Theodore R. verfasserin aut In Geophysical journal international Oxford . Wiley-Blackwell, 1922 115(1993), 1, Seite 0 Online-Ressource (DE-627)NLEJ243927827 (DE-600)2006420-2 1365-246X nnns volume:115 year:1993 number:1 pages:0 http://dx.doi.org/10.1111/j.1365-246X.1993.tb05600.x text/html Verlag Deutschlandweit zugänglich Volltext GBV_USEFLAG_U ZDB-1-DJB GBV_NL_ARTICLE AR 115 1993 1 0 |
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Three-dimensional magnetotelluric inversion using conjugate gradients |
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We have developed an inversion procedure that uses conjugate gradient relaxation methods. Although one can generalize the method to all inverse problems, we demonstrate its use to invert magnetotelluric data for 3-D earth models. This procedure allows us to bypass the actual computation of the sensitivity matrix A or the inversion of the ATA term. In fact, with the relaxation approach, one only needs to compute the effect of the sensitivity matrix or its transpose multiplying an arbitrary vector. We show that each of these requires one forward problem with a distributed set of sources either in the volume (for A multiplying a vector) or on the surface (for AT multiplying a vector). This significantly reduces the computational requirements needed to do a 3-D inversion. For this paper, we have simplified the boundary conditions by assuming the model is repeated in the horizontal directions, but this is not a necessary constraint of the method. The algorithm reduces data errors to the 2 per cent level for noise-free synthetic 3-D magnetotelluric data. |
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We have developed an inversion procedure that uses conjugate gradient relaxation methods. Although one can generalize the method to all inverse problems, we demonstrate its use to invert magnetotelluric data for 3-D earth models. This procedure allows us to bypass the actual computation of the sensitivity matrix A or the inversion of the ATA term. In fact, with the relaxation approach, one only needs to compute the effect of the sensitivity matrix or its transpose multiplying an arbitrary vector. We show that each of these requires one forward problem with a distributed set of sources either in the volume (for A multiplying a vector) or on the surface (for AT multiplying a vector). This significantly reduces the computational requirements needed to do a 3-D inversion. For this paper, we have simplified the boundary conditions by assuming the model is repeated in the horizontal directions, but this is not a necessary constraint of the method. The algorithm reduces data errors to the 2 per cent level for noise-free synthetic 3-D magnetotelluric data. |
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We have developed an inversion procedure that uses conjugate gradient relaxation methods. Although one can generalize the method to all inverse problems, we demonstrate its use to invert magnetotelluric data for 3-D earth models. This procedure allows us to bypass the actual computation of the sensitivity matrix A or the inversion of the ATA term. In fact, with the relaxation approach, one only needs to compute the effect of the sensitivity matrix or its transpose multiplying an arbitrary vector. We show that each of these requires one forward problem with a distributed set of sources either in the volume (for A multiplying a vector) or on the surface (for AT multiplying a vector). This significantly reduces the computational requirements needed to do a 3-D inversion. For this paper, we have simplified the boundary conditions by assuming the model is repeated in the horizontal directions, but this is not a necessary constraint of the method. The algorithm reduces data errors to the 2 per cent level for noise-free synthetic 3-D magnetotelluric data. |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">NLEJ239651219</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20210707092206.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">120426s1993 xx |||||o 00| ||und c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1111/j.1365-246X.1993.tb05600.x</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)NLEJ239651219</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Mackie, Randall L.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Three-dimensional magnetotelluric inversion using conjugate gradients</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Oxford, UK</subfield><subfield code="b">Blackwell Publishing Ltd</subfield><subfield code="c">1993</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zzz</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">z</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zu</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">We have developed an inversion procedure that uses conjugate gradient relaxation methods. Although one can generalize the method to all inverse problems, we demonstrate its use to invert magnetotelluric data for 3-D earth models. This procedure allows us to bypass the actual computation of the sensitivity matrix A or the inversion of the ATA term. In fact, with the relaxation approach, one only needs to compute the effect of the sensitivity matrix or its transpose multiplying an arbitrary vector. We show that each of these requires one forward problem with a distributed set of sources either in the volume (for A multiplying a vector) or on the surface (for AT multiplying a vector). This significantly reduces the computational requirements needed to do a 3-D inversion. For this paper, we have simplified the boundary conditions by assuming the model is repeated in the horizontal directions, but this is not a necessary constraint of the method. The algorithm reduces data errors to the 2 per cent level for noise-free synthetic 3-D magnetotelluric data.</subfield></datafield><datafield tag="533" ind1=" " ind2=" "><subfield code="d">2007</subfield><subfield code="f">Blackwell Publishing Journal Backfiles 1879-2005</subfield><subfield code="7">|2007||||||||||</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">magnetotellurics</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Madden, Theodore R.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">In</subfield><subfield code="t">Geophysical journal international</subfield><subfield code="d">Oxford . Wiley-Blackwell, 1922</subfield><subfield code="g">115(1993), 1, Seite 0</subfield><subfield code="h">Online-Ressource</subfield><subfield code="w">(DE-627)NLEJ243927827</subfield><subfield code="w">(DE-600)2006420-2</subfield><subfield code="x">1365-246X</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:115</subfield><subfield code="g">year:1993</subfield><subfield code="g">number:1</subfield><subfield code="g">pages:0</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://dx.doi.org/10.1111/j.1365-246X.1993.tb05600.x</subfield><subfield code="q">text/html</subfield><subfield code="x">Verlag</subfield><subfield code="z">Deutschlandweit zugänglich</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-1-DJB</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_NL_ARTICLE</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">115</subfield><subfield code="j">1993</subfield><subfield code="e">1</subfield><subfield code="h">0</subfield></datafield></record></collection>
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