메뉴 건너뛰기




Volumn 185, Issue 2, 2011, Pages 663-675

Non-linearity in Bayesian 1-D magnetotelluric inversion

Author keywords

Inverse theory; Magnetotelluric; Probability distributions

Indexed keywords

APPROPRIATE MODELS; BAYESIAN; BAYESIAN APPROACHES; BAYESIAN FORMULATION; BAYESIAN INFORMATION CRITERION; COMPONENT PARAMETERS; CORRELATED PARAMETERS; DATA VARIANCE; EFFICIENT SAMPLING; GLOBAL SAMPLING; HIERARCHICAL BAYESIAN; HYBRID ALGORITHMS; HYPERPARAMETERS; INVERSE THEORY; INVERSION RESULTS; MAGNETOTELLURIC; METROPOLIS-HASTINGS SAMPLINGS; MODEL PARAMETERS; MULTI-MODAL; NON-LINEAR; NON-LINEARITY; NONLINEAR UNCERTAINTIES; NUMBER OF LAYERS; NUMERICAL INTEGRATIONS; NUMERICAL OPTIMIZATIONS; PARAMETER ESTIMATE; PARAMETRIZATIONS; POSTERIOR PROBABILITY; PRIOR INFORMATION; RESOLVING POWER; SAMPLING TEMPERATURE; SIMPLE STRUCTURES; SYNTHETIC TESTS;

EID: 79954586774     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2011.04996.x     Document Type: Article
Times cited : (46)

References (45)
  • 1
    • 33847172823 scopus 로고    scopus 로고
    • Basement depths of 3-D basins, estimated from 1-D magnetotelluric inversion
    • Adam, A., Novak, A. & Szarka, L., 2007. Basement depths of 3-D basins, estimated from 1-D magnetotelluric inversion, Acta Geodaetica et Geophysica Hungarica, 42, 59-67.
    • (2007) Acta Geodaetica et Geophysica Hungarica , vol.42 , pp. 59-67
    • Adam, A.1    Novak, A.2    Szarka, L.3
  • 2
    • 0000501656 scopus 로고
    • Information theory and an extension of the maximum likelihood principle
    • in -, eds Petrov, B. & Csaki, B., Academiai Kiado, Budapest
    • Akaike, H., 1973. Information theory and an extension of the maximum likelihood principle, in Second International Symposium on Information Theory, pp. 267-281, eds Petrov, B. & Csaki, B., Academiai Kiado, Budapest .
    • (1973) Second International Symposium on Information Theory , pp. 267-281
    • Akaike, H.1
  • 3
    • 0014604497 scopus 로고
    • A synthetic approach to magnetotelluric exploration
    • Becher, W.D. & Sharpe, C.B., 1969. A synthetic approach to magnetotelluric exploration, Radio Sci., 3, 1089-1094.
    • (1969) Radio Sci. , vol.3 , pp. 1089-1094
    • Becher, W.D.1    Sharpe, C.B.2
  • 4
    • 17744362871 scopus 로고    scopus 로고
    • Importance reweighting reduces dependence on temperature in Gibbs samplers: an application to the inverse coseismic geodetic problem
    • Brooks, B.F. & Frazer, L.N., 2005. Importance reweighting reduces dependence on temperature in Gibbs samplers: an application to the inverse coseismic geodetic problem, Geophys. J. Int., 161, 12-20.
    • (2005) Geophys. J. Int. , vol.161 , pp. 12-20
    • Brooks, B.F.1    Frazer, L.N.2
  • 5
    • 34547765817 scopus 로고    scopus 로고
    • Stochastic interpretation of magnetotelluric data, comparison of methods
    • Cerv, V., Menvielle, M. & Pek, J., 2007. Stochastic interpretation of magnetotelluric data, comparison of methods, Ann. Geophys., 50, 122-134.
    • (2007) Ann. Geophys. , vol.50 , pp. 122-134
    • Cerv, V.1    Menvielle, M.2    Pek, J.3
  • 6
    • 0023525470 scopus 로고
    • Occam's inversion: a practical algorithm for generating smooth models from electromagnetic sounding data
    • Constable, S.C., Parker, R.L. & Constable, C.G., 1987. Occam's inversion: a practical algorithm for generating smooth models from electromagnetic sounding data, Geophysics, 52, 289-300.
    • (1987) Geophysics , vol.52 , pp. 289-300
    • Constable, S.C.1    Parker, R.L.2    Constable, C.G.3
  • 7
    • 79954582853 scopus 로고    scopus 로고
    • Resistivity imaging of geothermal resources using 1-D, 2-D and 3-D MT inversion and TDEM static shift correction illustrated by a Glass Mountain case history
    • Bali, Indonesia
    • Cumming, W. & Mackie, R., 2010. Resistivity imaging of geothermal resources using 1-D, 2-D and 3-D MT inversion and TDEM static shift correction illustrated by a Glass Mountain case history, in Proceedings World Geothermal Congress 2010, Bali, Indonesia, 1-10.
    • (2010) Proceedings World Geothermal Congress 2010 , pp. 1-10
    • Cumming, W.1    Mackie, R.2
  • 8
    • 59849091293 scopus 로고    scopus 로고
    • Model selection and Bayesian inference for high resolution seabed reflection inversion
    • Dettmer, J., Dosso, S.E. & Holland, C.W., 2009. Model selection and Bayesian inference for high resolution seabed reflection inversion, J. acoust. Soc. Am., 125, 706-716.
    • (2009) J. acoust. Soc. Am. , vol.125 , pp. 706-716
    • Dettmer, J.1    Dosso, S.E.2    Holland, C.W.3
  • 9
    • 0024885395 scopus 로고
    • Linear and non-linear appraisal using extremal models of bounded variation
    • Dosso, S.E. & Oldenburg, D.W., 1989. Linear and non-linear appraisal using extremal models of bounded variation, Geophys. J. Int., 99, 483-495.
    • (1989) Geophys. J. Int. , vol.99 , pp. 483-495
    • Dosso, S.E.1    Oldenburg, D.W.2
  • 10
    • 47649113668 scopus 로고    scopus 로고
    • Uncertainty estimation in simultaneous Bayesian tracking and environmental inversion
    • Dosso, S.E. & Wilmut, M.J., 2008. Uncertainty estimation in simultaneous Bayesian tracking and environmental inversion, J. acoust. Soc. Am., 124, 82-97.
    • (2008) J. acoust. Soc. Am. , vol.124 , pp. 82-97
    • Dosso, S.E.1    Wilmut, M.J.2
  • 11
    • 0035385550 scopus 로고    scopus 로고
    • An adaptive-hybrid algorithm for geoacoustic inversion
    • Dosso, S.E., Wilmut, M.J. & Lapinski, A.L.S., 2001. An adaptive-hybrid algorithm for geoacoustic inversion, IEEE J. Oceanic Eng., 26, 324-336.
    • (2001) IEEE J. Oceanic Eng. , vol.26 , pp. 324-336
    • Dosso, S.E.1    Wilmut, M.J.2    Lapinski, A.L.S.3
  • 13
    • 0032721073 scopus 로고    scopus 로고
    • Bayesian inversion with Markov chains, I. The magnetotelluric one-dimensional case
    • Grandis, H., Menvielle, M. & Roussignol, M., 1999. Bayesian inversion with Markov chains, I. The magnetotelluric one-dimensional case, Geophys. J. Int., 138, 757-768.
    • (1999) Geophys. J. Int. , vol.138 , pp. 757-768
    • Grandis, H.1    Menvielle, M.2    Roussignol, M.3
  • 14
    • 77956890234 scopus 로고
    • Monte Carlo sampling methods using Markov chains and their applications
    • Hastings, W.K., 1970. Monte Carlo sampling methods using Markov chains and their applications, Biometrika, 57, 97-109.
    • (1970) Biometrika , vol.57 , pp. 97-109
    • Hastings, W.K.1
  • 15
    • 0024900644 scopus 로고
    • Very fast simulated annealing
    • Ingber, L., 1989. Very fast simulated annealing, Math. Comput. Model., 12, 967-973.
    • (1989) Math. Comput. Model. , vol.12 , pp. 967-973
    • Ingber, L.1
  • 16
    • 67349088439 scopus 로고    scopus 로고
    • Joint inversion of marine magnetotelluric and gravity data incorporating seismic constraints: preliminary results of sub-basalt imaging off the Faroe Shelf
    • Jegen, M.D., Hobbs, R.W., Tarits, P. & Chave, A., 2009. Joint inversion of marine magnetotelluric and gravity data incorporating seismic constraints: preliminary results of sub-basalt imaging off the Faroe Shelf, Earth planet. Sci. Lett., 282, 47-55.
    • (2009) Earth planet. Sci. Lett. , vol.282 , pp. 47-55
    • Jegen, M.D.1    Hobbs, R.W.2    Tarits, P.3    Chave, A.4
  • 17
    • 84984516711 scopus 로고
    • A multi-station magnetotelluric study in southern Scotland, I., Fieldwork, data analysis and results
    • Jones, A.G. & Hutton, R., 1979a. A multi-station magnetotelluric study in southern Scotland, I., Fieldwork, data analysis and results. Geophys. J. R. astr. Soc., 56, 329-349.
    • (1979) Geophys. J. R. astr. Soc. , vol.56 , pp. 329-349
    • Jones, A.G.1    Hutton, R.2
  • 18
    • 84984455221 scopus 로고
    • A multi-station magnetotelluric study in southern Scotland, II. Monte-Carlo inversion of the data and its geophysical and tectonic implications
    • Jones, A.G. & Hutton, R., 1979b. A multi-station magnetotelluric study in southern Scotland, II. Monte-Carlo inversion of the data and its geophysical and tectonic implications. Geophys. J. R. astr. Soc., 56, 351-368.
    • (1979) Geophys. J. R. astr. Soc. , vol.56 , pp. 351-368
    • Jones, A.G.1    Hutton, R.2
  • 21
    • 0036899002 scopus 로고    scopus 로고
    • Parsimonious Bayesian Markov chain Monte Carlo inversion in a nonlinear geophysical problem
    • Malinverno, A., 2002. Parsimonious Bayesian Markov chain Monte Carlo inversion in a nonlinear geophysical problem, Geophys. J. Int., 151, 675-688.
    • (2002) Geophys. J. Int. , vol.151 , pp. 675-688
    • Malinverno, A.1
  • 22
    • 4544361653 scopus 로고    scopus 로고
    • Expanded uncertainty quantification in inverse problems: hierarchical Bayes and empirical Bayes
    • Malinverno, A. & Briggs, V.A., 2004. Expanded uncertainty quantification in inverse problems: hierarchical Bayes and empirical Bayes, Geophysics, 69, 1005-1016.
    • (2004) Geophysics , vol.69 , pp. 1005-1016
    • Malinverno, A.1    Briggs, V.A.2
  • 24
    • 77956694461 scopus 로고    scopus 로고
    • 2-D Inversion of frequency-domain EM data caused by a 3-D source
    • in -, eds Zhdanov, M.S. & Wannamaker, P.E., Elsevier, New York
    • Mitsuhata, Y. & Uchida, T., 2002. 2-D Inversion of frequency-domain EM data caused by a 3-D source, in Three-Dimensional Electromagnetics, pp. 153-172, eds Zhdanov, M.S. & Wannamaker, P.E., Elsevier, New York .
    • (2002) Three-Dimensional Electromagnetics , pp. 153-172
    • Mitsuhata, Y.1    Uchida, T.2
  • 25
    • 0035131576 scopus 로고    scopus 로고
    • The Fourier transform of controlled-source time-domain electromagnetic data by smooth spectrum inversion
    • Mitsuhata, Y., Uchida, T., Murakami, Y. & Amano, H., 2001. The Fourier transform of controlled-source time-domain electromagnetic data by smooth spectrum inversion, Geophys. J. Int., 144, 123-135.
    • (2001) Geophys. J. Int. , vol.144 , pp. 123-135
    • Mitsuhata, Y.1    Uchida, T.2    Murakami, Y.3    Amano, H.4
  • 26
    • 33846064217 scopus 로고    scopus 로고
    • Straightforward inversion of MT data using a normalized impedance function
    • Niwas, S., Gupta, P.K. & Gaur, V.K., 2007. Straightforward inversion of MT data using a normalized impedance function, Geophysics, 72, F19-F24.
    • (2007) Geophysics , vol.72
    • Niwas, S.1    Gupta, P.K.2    Gaur, V.K.3
  • 27
    • 0028192284 scopus 로고
    • Vertical seismic profile inversion with genetic algorithms
    • Nolte, B. & Frazer, L.N., 1994. Vertical seismic profile inversion with genetic algorithms, Geophys. J. Int., 117, 162-179.
    • (1994) Geophys. J. Int. , vol.117 , pp. 162-179
    • Nolte, B.1    Frazer, L.N.2
  • 28
    • 0018654738 scopus 로고
    • One-dimensional inversion of natural-source magnetotelluric observations
    • Oldenburg, D.W., 1979. One-dimensional inversion of natural-source magnetotelluric observations, Geophysics, 44, 1218-1244.
    • (1979) Geophysics , vol.44 , pp. 1218-1244
    • Oldenburg, D.W.1
  • 30
    • 84984530596 scopus 로고
    • The inverse problem of electrical conductivity in the mantle
    • Parker, R.L., 1970. The inverse problem of electrical conductivity in the mantle, Geophys. J. R. astr. Soc., 22, 38-121.
    • (1970) Geophys. J. R. astr. Soc. , vol.22 , pp. 38-121
    • Parker, R.L.1
  • 31
    • 3042724649 scopus 로고    scopus 로고
    • Determination of the regularization level of truncated singular-value decomposition inversion: the case of 1-D inversion of MT data
    • Pedersen, L.B., 2004. Determination of the regularization level of truncated singular-value decomposition inversion: the case of 1-D inversion of MT data, Geophys. Prospect., 52, 261-270.
    • (2004) Geophys. Prospect. , vol.52 , pp. 261-270
    • Pedersen, L.B.1
  • 34
    • 31844434226 scopus 로고    scopus 로고
    • Magnetotelluric data inversion with seismic data constraint
    • Son, W. & Sun, S., 2005. Magnetotelluric data inversion with seismic data constraint, Acta Seimologica Sinica, 18, 678-685.
    • (2005) Acta Seimologica Sinica , vol.18 , pp. 678-685
    • Son, W.1    Sun, S.2
  • 35
    • 0036765114 scopus 로고    scopus 로고
    • Monte Carlo methods in geophysical inverse problems
    • Sambridge, M. & Mosegaard, K., 2002. Monte Carlo methods in geophysical inverse problems, Rev. Geophys., 40, doi:.
    • (2002) Rev. Geophys. , vol.40
    • Sambridge, M.1    Mosegaard, K.2
  • 36
    • 33750736671 scopus 로고    scopus 로고
    • Trans-dimensional inverse problems, model comparison and the evidence
    • Sambridge, M., Gallagher, K., Jackson, A. & Rickwood, P., 2006. Trans-dimensional inverse problems, model comparison and the evidence, Geophys. J. Int., 167, 528-542.
    • (2006) Geophys. J. Int. , vol.167 , pp. 528-542
    • Sambridge, M.1    Gallagher, K.2    Jackson, A.3    Rickwood, P.4
  • 37
    • 0000120766 scopus 로고
    • Estimating dimension of a model
    • Schwarz, G., 1978. Estimating dimension of a model, Ann. Statist., 6, 461-464.
    • (1978) Ann. Statist. , vol.6 , pp. 461-464
    • Schwarz, G.1
  • 39
    • 0024198759 scopus 로고
    • Magnetotelluric inversion for minimum structure
    • Smith, J.T. & Booker, J.R., 1988. Magnetotelluric inversion for minimum structure, Geophysics, 53, 1565-1576.
    • (1988) Geophysics , vol.53 , pp. 1565-1576
    • Smith, J.T.1    Booker, J.R.2
  • 41
    • 0028564446 scopus 로고
    • Bayesian statistics of non-linear inverse problems: example of the magnetotelluric 1-D inverse problem
    • Tarits, P., Menvielle, J.V. & Roussignol, M., 1994. Bayesian statistics of non-linear inverse problems: example of the magnetotelluric 1-D inverse problem, Geophys. J. Int., 119, 353-368.
    • (1994) Geophys. J. Int. , vol.119 , pp. 353-368
    • Tarits, P.1    Menvielle, J.V.2    Roussignol, M.3
  • 42
    • 0000907313 scopus 로고
    • On the determination of the electric characteristics of deep layers of the Earth's crust
    • Tikhonov, A.N., 1950. On the determination of the electric characteristics of deep layers of the Earth's crust, Dokl. Akad. Nauk SSSR, 151, 295-297.
    • (1950) Dokl. Akad. Nauk SSSR , vol.151 , pp. 295-297
    • Tikhonov, A.N.1
  • 43
    • 0027464415 scopus 로고
    • Automatic 1-D inversion of magnetotelluric data by the method of modelling
    • Weaver, J.T. & Agarwal, A.K., 1993. Automatic 1-D inversion of magnetotelluric data by the method of modelling, Geophys. J. Int., 112, 115-123.
    • (1993) Geophys. J. Int. , vol.112 , pp. 115-123
    • Weaver, J.T.1    Agarwal, A.K.2
  • 44
    • 0000842512 scopus 로고
    • The inverse problem of geomagnetic induction
    • Weidelt, P., 1972. The inverse problem of geomagnetic induction, Z. Geophys., 38, 257-289.
    • (1972) Z. Geophys. , vol.38 , pp. 257-289
    • Weidelt, P.1
  • 45
    • 0343507736 scopus 로고
    • Inversion of magnetotelluric data for a one-dimensional conductivity
    • ed. Fitterman, D.V., Soc. Exp. Geophysicists, Tulsa, OK
    • Whittall, K.P. & Oldenburg, D.W., 1992. Inversion of magnetotelluric data for a one-dimensional conductivity, Geophys. Monogr. Ser. 5, ed. Fitterman, D.V., Soc. Exp. Geophysicists, Tulsa, OK .
    • (1992) Geophys. Monogr. Ser. 5
    • Whittall, K.P.1    Oldenburg, D.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.