메뉴 건너뛰기




Volumn 16, Issue 9, 2012, Pages 3249-3260

Extended power-law scaling of heavy-tailed random air-permeability fields in fractured and sedimentary rocks

Author keywords

[No Author keywords available]

Indexed keywords

ARIZONA; DATA SETS; ERGODICITY; EXTENDED SELF SIMILARITY; FIELD SCALE; FRACTIONAL BROWNIAN MOTION; FRACTIONAL GAUSSIAN NOISE; FREQUENCY DISTRIBUTIONS; FUNCTIONAL RELATIONSHIP; GAUSSIANS; HEAVY-TAILED; INCLINED BOREHOLES; LARGE LAG; MAXIMUM LIKELIHOOD ESTIMATE; MONOFRACTAL; MULTIFRACTALS; PACKER TESTS; POWER LAW SCALINGS; RANDOM FIELDS; SAMPLE STRUCTURE; SCALE BLOCKS; SCALING BEHAVIOR; SELF-AFFINE; SPATIAL DIMENSION; SUB-GAUSSIANS; SUBORDINATORS; UPPER CRETACEOUS;

EID: 84866154527     PISSN: 10275606     EISSN: 16077938     Source Type: Journal    
DOI: 10.5194/hess-16-3249-2012     Document Type: Article
Times cited : (16)

References (28)
  • 2
    • 84956136421 scopus 로고
    • Extended self-similarity in the dissipation range of fully developed turbulence
    • doi:10.1209/0295-5075/24/4/007
    • Benzi, R., Ciliberto, S., Baudet, C., Chavarria, G. R., and Tripic-cione, R.: Extended self-similarity in the dissipation range of fully developed turbulence, Europhys. Lett., 24, 275-279, doi:10.1209/0295-5075/24/4/007, 1993a.
    • (1993) Europhys. Lett. , vol.24 , pp. 275-279
    • Benzi, R.1    Ciliberto, S.2    Baudet, C.3    Chavarria, G.R.4    Tripic-Cione, R.5
  • 4
    • 2142653036 scopus 로고    scopus 로고
    • Sedimentology and fractal-based analysis of permeability data, John Henry Member, Straight Cliffs Formation (Upper Cretaceous), Utah, U.S.A
    • Castle, J. W., Molz, F J., Lu, S., and Dinwiddie, C. L.: Sedimentol-ogy and fractal-based analysis of permeability data, John Henry Member, Straight Cliffs Formation (Upper Cretaceous), Utah, USA, J. Sed. Res., 74, 270-284, 2004. (Pubitemid 38537350)
    • (2004) Journal of Sedimentary Research , vol.74 , Issue.2 , pp. 270-284
    • Castle, J.W.1    Molz, F.J.2    Lu, S.3    Dinwiddie, C.L.4
  • 5
    • 77952356122 scopus 로고    scopus 로고
    • Extended self-similarity works for the Burgers equation and why
    • doi:10.1017/S0022112010000595
    • Chakraborty, S., Frisch, U., and Ray, S. S.: Extended self-similarity works for the Burgers equation and why, J. Fluid Mech., 649, 275-285, doi:10.1017/S0022112010000595, 2010.
    • (2010) J. Fluid Mech. , vol.649 , pp. 275-285
    • Chakraborty, S.1    Frisch, U.2    Ray, S.S.3
  • 6
    • 68949119831 scopus 로고    scopus 로고
    • Subordinated Brownian motion model for sediment transport
    • doi:1539-5663755/2009/80(1)/011111(8
    • Ganti, V., Singh, A., Passalacqua, P., and Foufoula-Georgiu, E.: Subordinated Brownian motion model for sediment transport, Phys. Rev. E, 80, 011111, doi:1539-5663755/2009/80(1)/011111(8), 2009.
    • (2009) Phys. Rev. e , vol.80 , pp. 011111
    • Ganti, V.1    Singh, A.2    Passalacqua, P.3    Foufoula-Georgiu, E.4
  • 7
    • 79959962203 scopus 로고    scopus 로고
    • Extended self-affinity of signals exhibiting apparent multifractality
    • doi:10.1029/2011GL047727
    • Guadagnini, A. and Neuman S. P.: Extended Self-Affinity of Signals Exhibiting Apparent Multifractality, Geophys. Res. Lett., 38, L13403, doi:10.1029/2011GL047727, 2011.
    • (2011) Geophys. Res. Lett. , vol.38
    • Guadagnini, A.1    Neuman, S.P.2
  • 8
    • 84855531532 scopus 로고    scopus 로고
    • Numerical investigation of apparent multifractality of samples from processes subordinated to truncated fBm
    • doi:10.1002/hyp.8358
    • Guadagnini, A., Neuman, S. P., and Riva, M.: Numerical Investigation of Apparent Multifractality of Samples from Processes Subordinated to Truncated fBm, Hydrol. Process., 26, 2894-2908, doi:10.1002/hyp.8358, 2012.
    • (2012) Hydrol. Process. , vol.26 , pp. 2894-2908
    • Guadagnini, A.1    Neuman, S.P.2    Riva, M.3
  • 10
    • 84855549984 scopus 로고    scopus 로고
    • Extended power-law scaling of air permeabilities measured on a block of tu?
    • Interactive discussion of the discussion paper by Siena M., Guadagnini, A., Riva, M., and Neuman, S. P. doi:10.5194/hessd-8-7805-2011
    • Kozubowski, T. J. and Molz, F. J.: Interactive discussion of the discussion paper "Extended power-law scaling of air permeabilities measured on a block of tu?" by Siena, M., Guadagnini, A., Riva, M., and Neuman, S. P., Hydrol. Earth Syst. Sci. Discuss., 8, 7805-7843, doi:10.5194/hessd-8-7805- 2011, 2011.
    • (2011) Hydrol. Earth Syst. Sci. Discuss. , vol.8 , pp. 7805-7843
    • Kozubowski, T.J.1    Molz, F.J.2
  • 12
    • 84855928934 scopus 로고    scopus 로고
    • Turbulent characteristics in the intensity fluctuations of a solar quiescent prominence observed by the Hinode Solar Optical Telescope
    • (8 pp.) doi:10.1088/0004-637X/745/2/185
    • Leonardis, E., Chapman, S. C., and Foullon, C.: Turbulent characteristics in the intensity fluctuations of a solar quiescent prominence observed by the Hinode Solar Optical Telescope, The Astrophysical Journal, 745, 185 (8 pp.), doi:10.1088/0004-637X/745/2/185, 2012.
    • (2012) The Astrophysical Journal , vol.745 , pp. 185
    • Leonardis, E.1    Chapman, S.C.2    Foullon, C.3
  • 13
    • 0001587485 scopus 로고    scopus 로고
    • Combining stochastic facies and fractal models for representing natural heterogeneity
    • DOI 10.1007/s10040-002-0212-x
    • Lu, S., Molz, F. J., Fogg, G. E., and Castle, J. W.: Combining stochastic facies and fractal models for representing natural heterogeneity, Hydrogeol. J., 10, 475-482, 2002. (Pubitemid 37216337)
    • (2002) Hydrogeology Journal , vol.10 , Issue.4 , pp. 475-482
    • Lu, S.1    Molz, F.J.2    Fogg, G.E.3    Castle, J.W.4
  • 14
    • 3042787879 scopus 로고    scopus 로고
    • Fractional Laplace model for hydraulic conductivity
    • DOI 10.1029/2003GL019320
    • Meerschaert, M. M., Kozubowski, T. J., Molz, F. J., and Lu, S.: Fractional Laplace model for hydraulic conductivity, Geophys. Res. Lett., 31, L08501, doi:10.1029/2003GL019320, 2004. (Pubitemid 38893041)
    • (2004) Geophysical Research Letters , vol.31 , Issue.8
    • Meerschaert, M.M.1    Kozubowski, T.J.2    Molz, F.J.3    Lu, S.4
  • 15
    • 34249994617 scopus 로고    scopus 로고
    • A generalization of the fractal/facies model
    • DOI 10.1007/s10040-006-0154-9
    • Molz, F. J., Kozubowski, T. J., Podgórski K., and Castle, J. W.: A generalization of the fractal/facies model, Hydrogeol. J., 15, 809-816, doi:10.1007/s10040-006-0154-9, 2007. (Pubitemid 46887748)
    • (2007) Hydrogeology Journal , vol.15 , Issue.4 , pp. 809-816
    • Molz, F.J.1    Kozubowski, T.J.2    Podgorski, K.3    Castle, J.W.4
  • 16
    • 0025474361 scopus 로고
    • Universal scaling of hydraulic conductivities and dispersivities in geologic media
    • Neuman, S. P.: Universal Scaling of Hydraulic Conductivities and Dispersivities in Geologic Media, Water Resour. Res., 26, 1749-1758, 1990.
    • (1990) Water Resour. Res. , vol.26 , pp. 1749-1758
    • Neuman, S.P.1
  • 17
    • 77954359641 scopus 로고    scopus 로고
    • Apparent/spurious multifractality of data sampled from fractional Brownian/Lévy motions
    • doi:10.1002/hyp.7611
    • Neuman, S. P.: Apparent/spurious multifractality of data sampled from fractional Brownian/Lévy motions, Hydrol. Process., 24, 2056-2067, doi:10.1002/hyp.7611, 2010a.
    • (2010) Hydrol. Process. , vol.24 , pp. 2056-2067
    • Neuman, S.P.1
  • 18
    • 79956039494 scopus 로고    scopus 로고
    • Apparent/spurious multifractality of absolute increments sampled from truncated fractional Gaussian/Lévy noise
    • doi:10.1029/2010GL043314
    • Neuman, S. P.: Apparent/spurious multifractality of absolute increments sampled from truncated fractional Gaussian/Lévy noise, Geophys. Res. Lett., 37, L09403, doi:10.1029/2010GL043314, 2010b.
    • (2010) Geophys. Res. Lett. , vol.37
    • Neuman, S.P.1
  • 19
    • 79956014786 scopus 로고    scopus 로고
    • Apparent multifractality and scale-dependent distribution of data sampled from self-affine processes
    • doi:10.1002/hyp.7967
    • Neuman, S. P.: Apparent multifractality and scale-dependent distribution of data sampled from self-affine processes, Hydrol. Process., 25, 1837-1840, doi:10.1002/hyp.7967, 2011.
    • (2011) Hydrol. Process. , vol.25 , pp. 1837-1840
    • Neuman, S.P.1
  • 20
    • 84866163636 scopus 로고    scopus 로고
    • Recent advances in statistical and scaling analysis of earth and environmental variables
    • Cambridge University Press Cambridge UK, (invited) under review
    • Neuman, S. P., Guadagnini, A., Riva, M., and Siena, M.: Recent Advances in Statistical and scaling analysis of earth and environmental variables, in Recent Advances in Hydrogeology, Cambridge University Press, Cambridge UK, (invited), under review, 2012.
    • (2012) Recent Advances in Hydrogeology
    • Neuman, S.P.1    Guadagnini, A.2    Riva, M.3    Siena, M.4
  • 21
    • 33747586747 scopus 로고    scopus 로고
    • Numerical calculation of stable densities and distribution functions
    • Nolan, J. P.: Numerical computation of stable densities and distribution functions, Commun. Stat. Stoch. Models, 13, 759-774, 1997. (Pubitemid 127763072)
    • (1997) Communications in Statistics. Part C: Stochastic Models , vol.13 , Issue.4 , pp. 759-774
    • Nolan, J.P.1
  • 22
    • 0007110193 scopus 로고    scopus 로고
    • Maximum likelihood estimation of stable parameters
    • edited by: Barndorff-Nielsen, O. E., Mikosch, T., and Resnick, S. I., Birkhäuser, Boston
    • Nolan, J. P.: Maximum likelihood estimation of stable parameters, in: Levy processes: theory and applications, edited by: Barndorff-Nielsen, O. E., Mikosch, T., and Resnick, S. I., Birkhäuser, Boston, 379-400, 2001.
    • (2001) Levy Processes: Theory and Applications , pp. 379-400
    • Nolan, J.P.1
  • 23
    • 84871417952 scopus 로고    scopus 로고
    • Sub-Gaussian model of processes with heavy tailed distributions applied to permeabilities of fractured tuff
    • in press doi:10.1007/s00477-012-0576-y
    • Riva, M., Neuman, S. P., and Guadagnini, A.: Sub-Gaussian model of processes with heavy tailed distributions applied to permeabilities of fractured tuff, Stoch. Environ. Res. Risk Assess., in press, doi:10.1007/s00477-012-0576- y, 2012.
    • (2012) Stoch. Environ. Res. Risk Assess.
    • Riva, M.1    Neuman, S.P.2    Guadagnini, A.3
  • 26
    • 84855566195 scopus 로고    scopus 로고
    • Extended power-law scaling of air permeabilities measured on a block of tuff
    • doi:10.5194/hess-16-29-2012
    • Siena, M., Guadagnini, A., Riva, M., and Neuman, S. P.: Extended power-law scaling of air permeabilities measured on a block of tuff, Hydrol. Earth Syst. Sci., 16, 29-42, doi:10.5194/hess-16-29-2012, 2012.
    • (2012) Hydrol. Earth Syst. Sci. , vol.16 , pp. 29-42
    • Siena, M.1    Guadagnini, A.2    Riva, M.3    Neuman, S.P.4
  • 27
    • 84856991721 scopus 로고    scopus 로고
    • Critical truths about power laws
    • Stumpf, M. P. H. and Porter, M. A.: Critical truths about power laws, Science, 335, 665-666, 2012.
    • (2012) Science , vol.335 , pp. 665-666
    • Stumpf, M.P.H.1    Porter, M.A.2
  • 28
    • 0032740853 scopus 로고    scopus 로고
    • Upscaling experiments conducted on a block of volcanic tuff: Results for a bimodal permeability distribution
    • DOI 10.1029/1999WR900161
    • Tidwell, V. C. and Wilson, J. L.: Upscaling experiments conducted on a block of volcanic tuff: results for a bimodal permeability distribution, Water Resour. Res., 35, 3375-3387, doi:10.1029/1999WR900161, 1999. (Pubitemid 29514610)
    • (1999) Water Resources Research , vol.35 , Issue.11 , pp. 3375-3387
    • Tidwell, V.C.1    Wilson, J.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.