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Volumn 27, Issue 1, 2013, Pages 195-207

Sub-Gaussian model of processes with heavy-tailed distributions applied to air permeabilities of fractured tuff

Author keywords

Air permeabilities; Fractured tuff; Heavy tailed distributions; Nonlinear scaling; Parameter estimation; Power law

Indexed keywords

AIR PERMEABILITY; EARTH (PLANET); FRACTURE; GAUSSIAN NOISE (ELECTRONIC); PARAMETER ESTIMATION; WELL LOGGING;

EID: 84871417952     PISSN: 14363240     EISSN: 14363259     Source Type: Journal    
DOI: 10.1007/s00477-012-0576-y     Document Type: Article
Times cited : (37)

References (37)
  • 1
    • 0002191484 scopus 로고
    • The expected number of level crossings for stationary, harmonisable, symmetric, stable processes
    • Adler RJ, Samorodnitsky G, Gadrich T (1993) The expected number of level crossings for stationary, harmonisable, symmetric, stable processes. Ann Appl Probab 3(2): 553-575.
    • (1993) Ann Appl Probab , vol.3 , Issue.2 , pp. 553-575
    • Adler, R.J.1    Samorodnitsky, G.2    Gadrich, T.3
  • 3
    • 54749100842 scopus 로고    scopus 로고
    • Twenty-five years of multifractals in fully developed turbulence: a tribute to Giovanni Paladin
    • Boffetta G, Mazzino A, Vulpiani A (2008) Twenty-five years of multifractals in fully developed turbulence: a tribute to Giovanni Paladin. J Phys A Math Theory 41: 363001.
    • (2008) J Phys A Math Theory , vol.41 , pp. 363001
    • Boffetta, G.1    Mazzino, A.2    Vulpiani, A.3
  • 5
    • 0030618861 scopus 로고    scopus 로고
    • Scaling of random fields by means of truncated power variograms and associated spectra
    • Di Federico V, Neuman SP (1997) Scaling of random fields by means of truncated power variograms and associated spectra. Water Resour Res 33(5): 1075-1085.
    • (1997) Water Resour Res , vol.33 , Issue.5 , pp. 1075-1085
    • Di Federico, V.1    Neuman, S.P.2
  • 6
    • 5544261689 scopus 로고
    • Parameter estimates for symmetric stable distribution
    • Fama EP, Roll R (1971) Parameter estimates for symmetric stable distribution. J Am Stat Assoc 66(334): 331-338.
    • (1971) J Am Stat Assoc , vol.66 , Issue.334 , pp. 331-338
    • Fama, E.P.1    Roll, R.2
  • 7
    • 68949119831 scopus 로고    scopus 로고
    • Subordinated Brownian motion model for sediment transport
    • doi:1539-3755/2009/80(1)/011111(9
    • Ganti V, Singh A, Passalacqua P, Foufoula-Georgiu E (2009) Subordinated Brownian motion model for sediment transport. Phys Rev E 80: 011111. doi: 1539-3755/2009/80(1)/011111(9.
    • (2009) Phys Rev E , vol.80 , pp. 011111
    • Ganti, V.1    Singh, A.2    Passalacqua, P.3    Foufoula-Georgiu, E.4
  • 8
    • 0033852034 scopus 로고    scopus 로고
    • Application of Levy random fractal simulation techniques in modeling reservoir mechanisms in the Kuparuk River field, North Slope, Alaska
    • Gaynor GC, Chang EY, Painter S, Paterson L (2000) Application of Levy random fractal simulation techniques in modeling reservoir mechanisms in the Kuparuk River field, North Slope, Alaska. SPE Reservoir Eval Eng 3(3): 263-271.
    • (2000) SPE Reservoir Eval Eng , vol.3 , Issue.3 , pp. 263-271
    • Gaynor, G.C.1    Chang, E.Y.2    Painter, S.3    Paterson, L.4
  • 9
    • 33745712088 scopus 로고    scopus 로고
    • Maximum likelihood parameter estimation under impulsive conditions, a sub-Gaussian signal approach
    • Georgiou PG, Kyriakakis C (2006) Maximum likelihood parameter estimation under impulsive conditions, a sub-Gaussian signal approach. Sig Process 86: 3061-3075.
    • (2006) Sig Process , vol.86 , pp. 3061-3075
    • Georgiou, P.G.1    Kyriakakis, C.2
  • 10
    • 0024928433 scopus 로고
    • Permeability transects in eolian sands and their use in generating random permeability fields
    • 19586
    • Goggin DJ, Chandler MA, Kocurek G, Lake LW (1989) Permeability transects in eolian sands and their use in generating random permeability fields. Soc Petrol Eng 19586: 149-164.
    • (1989) Soc Petrol Eng , pp. 149-164
    • Goggin, D.J.1    Chandler, M.A.2    Kocurek, G.3    Lake, L.W.4
  • 11
    • 0026822476 scopus 로고
    • Permeability transects of eolian sands and their use in generating random permeability fields
    • Goggin DJ, Chandler MA, Kocurek G, Lake LW (1992) Permeability transects of eolian sands and their use in generating random permeability fields. SPE Form Eval 92(3): 7-16.
    • (1992) SPE Form Eval , vol.92 , Issue.3 , pp. 7-16
    • Goggin, D.J.1    Chandler, M.A.2    Kocurek, G.3    Lake, L.W.4
  • 12
    • 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 SP, Riva M (2012) Numerical investigation of apparent multifractality of samples from processes subordinated to truncated fBm. Hydrol Process. doi: 10. 1002/hyp. 8358.
    • (2012) Hydrol Process
    • Guadagnini, A.1    Neuman, S.P.2    Riva, M.3
  • 16
    • 0142054701 scopus 로고    scopus 로고
    • Steady-state analysis of cross-hole pneumatic injection tests in unsaturated fractured tuff
    • Illman WA, Neuman SP (2003) Steady-state analysis of cross-hole pneumatic injection tests in unsaturated fractured tuff. J Hydrol 281: 36-54.
    • (2003) J Hydrol , vol.281 , pp. 36-54
    • Illman, W.A.1    Neuman, S.P.2
  • 18
    • 0027870218 scopus 로고
    • Multicomponent decomposition of spatial rainfall fields: 2. Self-similarity in fluctuations
    • Kumar P, Foufoula-Georgiou E (1993) Multicomponent decomposition of spatial rainfall fields: 2. Self-similarity in fluctuations. Water Resour Res 29(8): 2533-2544.
    • (1993) Water Resour Res , vol.29 , Issue.8 , pp. 2533-2544
    • Kumar, P.1    Foufoula-Georgiou, E.2
  • 19
    • 0000356392 scopus 로고    scopus 로고
    • Comment on "Evidence for non-Gaussian scaling behavior in heterogeneous sedimentary formations" by S. Painter
    • doi:10.1029/96WR03788
    • Liu HH, Molz FJ (1997) Comment on "Evidence for non-Gaussian scaling behavior in heterogeneous sedimentary formations" by S. Painter. Water Resour Res 33(4): 907-908. doi: 10. 1029/96WR03788.
    • (1997) Water Resour Res , vol.33 , Issue.4 , pp. 907-908
    • Liu, H.H.1    Molz, F.J.2
  • 20
    • 0030437804 scopus 로고    scopus 로고
    • Outcrop analog for sandy braided stream reservoirs: Permeability patterns in the Triassic Hawkesbury sandstone, Sydney Basin, Australia
    • Liu K, Boult P, Painter S, Paterson L (1996) Outcrop analog for sandy braided stream reservoirs: Permeability patterns in the Triassic Hawkesbury sandstone, Sydney Basin, Australia. AAPG Bull 80(12): 1850-1866.
    • (1996) AAPG Bull , vol.80 , Issue.12 , pp. 1850-1866
    • Liu, K.1    Boult, P.2    Painter, S.3    Paterson, L.4
  • 21
    • 0002478481 scopus 로고    scopus 로고
    • How well are hydraulic conductivity variations approximated by additive stable processes?
    • Lu S, Molz FJ (2001) How well are hydraulic conductivity variations approximated by additive stable processes? Adv Environ Res 5: 39-45.
    • (2001) Adv Environ Res , vol.5 , pp. 39-45
    • Lu, S.1    Molz, F.J.2
  • 23
    • 38049084243 scopus 로고
    • Simple consistent estimators of stable distribution parameters. communications in statistics
    • McCulloch JH (1986) Simple consistent estimators of stable distribution parameters. communications in statistics. Simul Comput 15: 1109-1136.
    • (1986) Simul Comput , vol.15 , pp. 1109-1136
    • McCulloch, J.H.1
  • 24
    • 0002485569 scopus 로고    scopus 로고
    • Measuring tail thickness to estimate the stable index alpha: A critique
    • McCulloch JH (1997) Measuring tail thickness to estimate the stable index alpha: A critique. J Bus Econ Stat 15: 74-81.
    • (1997) J Bus Econ Stat , vol.15 , pp. 74-81
    • McCulloch, J.H.1
  • 26
    • 79956014786 scopus 로고    scopus 로고
    • Apparent multifractality and scale-dependent distribution of data sampled from self-affine process
    • doi:10.1002/hyp.7967
    • Neuman SP (2011) Apparent multifractality and scale-dependent distribution of data sampled from self-affine process. Hydrol Process 25(11): 1837-1840. doi: 10. 1002/hyp. 7967.
    • (2011) Hydrol Process , vol.25 , Issue.11 , pp. 1837-1840
    • Neuman, S.P.1
  • 27
    • 33747586747 scopus 로고    scopus 로고
    • Numerical computation of stable densities and distribution functions
    • Nolan JP (1997) Numerical computation of stable densities and distribution functions. Commun Stat Stoch Models 13(4): 759-774.
    • (1997) Commun Stat Stoch Models , vol.13 , Issue.4 , pp. 759-774
    • Nolan, J.P.1
  • 28
    • 0032084159 scopus 로고    scopus 로고
    • Parameterizations and modes of stable distributions
    • Nolan JP (1998) Parameterizations and modes of stable distributions. Stat Probab Lett 38: 187-195.
    • (1998) Stat Probab Lett , vol.38 , pp. 187-195
    • Nolan, J.P.1
  • 29
    • 0007110193 scopus 로고    scopus 로고
    • Maximum likelihood estimation of stable parameters
    • In: Barndorff-Nielsen OE, Mikosch T, Resnick SI (Eds), Birkhäuser, Boston
    • Nolan JP (2001) Maximum likelihood estimation of stable parameters. In: Barndorff-Nielsen OE, Mikosch T, Resnick SI (Eds) Levy processes: theory and applications. Birkhäuser, Boston, pp 379-400.
    • (2001) Levy processes: Theory and applications , pp. 379-400
    • Nolan, J.P.1
  • 30
    • 0029656870 scopus 로고    scopus 로고
    • Evidence for non-Gaussian scaling behavior in heterogeneous sedimentary formations
    • doi:10.1029/96WR00286
    • Painter S (1996) Evidence for non-Gaussian scaling behavior in heterogeneous sedimentary formations. Water Resour Res 32(5): 1183-1195. doi: 10. 1029/96WR00286.
    • (1996) Water Resour Res , vol.32 , Issue.5 , pp. 1183-1195
    • Painter, S.1
  • 31
    • 0034965042 scopus 로고    scopus 로고
    • Flexible scaling model for use in random field simulation of hydraulic conductivity
    • doi:1397/01/2000WR900394
    • Painter S (2001) Flexible scaling model for use in random field simulation of hydraulic conductivity. Water Resour Res 37(5): 1155-1163. doi: 1397/01/2000WR900394.
    • (2001) Water Resour Res , vol.37 , Issue.5 , pp. 1155-1163
    • Painter, S.1
  • 32
    • 79959375719 scopus 로고    scopus 로고
    • Stochastic analysis of flux and head moments in a heterogeneous aquifer system
    • doi:10.1007/s00477-011-0459-7
    • Paleologos EK, Sarris TS (2011) Stochastic analysis of flux and head moments in a heterogeneous aquifer system. Stoch Env Res Risk Assess 25(6): 747-759. doi: 10. 1007/s00477-011-0459-7.
    • (2011) Stoch Env Res Risk Assess , vol.25 , Issue.6 , pp. 747-759
    • Paleologos, E.K.1    Sarris, T.S.2
  • 33
    • 0001646356 scopus 로고
    • Estimation of univariate and multivariate stable distributions
    • Press SJ (1972) Estimation of univariate and multivariate stable distributions. J Am Stat Assoc 67(340): 842-846.
    • (1972) J Am Stat Assoc , vol.67 , Issue.340 , pp. 842-846
    • Press, S.J.1
  • 34
    • 26844473082 scopus 로고    scopus 로고
    • Comparison of the lognormal and beta distribution functions to describe the uncertainty in permeability
    • Ricciardi KL, Pinder GF, Belitz K (2005) Comparison of the lognormal and beta distribution functions to describe the uncertainty in permeability. J Hydrol 313: 248-256.
    • (2005) J Hydrol , vol.313 , pp. 248-256
    • Ricciardi, K.L.1    Pinder, G.F.2    Belitz, K.3
  • 36
    • 84855566195 scopus 로고    scopus 로고
    • Extended power-law scaling of air permeabilities measured on a block of tuff
    • Siena M, Guadagnini A, Riva M, Neuman SP (2012) Extended power-law scaling of air permeabilities measured on a block of tuff. Hydrol Heart Sys Sci 16(1): 29-42.
    • (2012) Hydrol Heart Sys Sci , vol.16 , Issue.1 , pp. 29-42
    • Siena, M.1    Guadagnini, A.2    Riva, M.3    Neuman, S.P.4
  • 37
    • 67649414419 scopus 로고    scopus 로고
    • The use of the Levy-stable distribution for geophysical data analysis
    • doi:10.1007/s10040-008-0411-1
    • Yang CY, Hsu KC, Chen KC (2009) The use of the Levy-stable distribution for geophysical data analysis. Hydrol J 17: 1265-1273. doi: 10. 1007/s10040-008-0411-1.
    • (2009) Hydrol J , vol.17 , pp. 1265-1273
    • Yang, C.Y.1    Hsu, K.C.2    Chen, K.C.3


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