메뉴 건너뛰기




Volumn 32, Issue 8, 2005, Pages 1-4

Generating and scaling fractional Brownian motion on finite domains

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; FRACTALS; STATISTICAL METHODS;

EID: 22944451486     PISSN: 00948276     EISSN: None     Source Type: Journal    
DOI: 10.1029/2005GL022608     Document Type: Article
Times cited : (13)

References (25)
  • 3
    • 33751435968 scopus 로고    scopus 로고
    • HYDRO_GEN: A spatially distributed random field generator for correlated properties
    • Bellin, A., and Y. Rubin (1996), HYDRO_GEN: A spatially distributed random field generator for correlated properties, Stochastic Hydrol. Hydraul., 10, 253-278.
    • (1996) Stochastic Hydrol. Hydraul. , vol.10 , pp. 253-278
    • Bellin, A.1    Rubin, Y.2
  • 4
    • 0030303352 scopus 로고    scopus 로고
    • On transport in porous formations characterized by heterogeneity of evolving scales
    • Bellin, A., M. Pannone, A. Fiori, and A. Rinaldo (1996), On transport in porous formations characterized by heterogeneity of evolving scales, Water Resour Res., 32(12), 3485-3496.
    • (1996) Water Resour. Res. , vol.32 , Issue.12 , pp. 3485-3496
    • Bellin, A.1    Pannone, M.2    Fiori, A.3    Rinaldo, A.4
  • 5
    • 0028192647 scopus 로고
    • Geostatistical analysis of aquifer heterogeneity from the core scale to the basin scale: A case study
    • Desbarats, A. J., and S. Bachu (1994), Geostatistical analysis of aquifer heterogeneity from the core scale to the basin scale: A case study, Water Resour Res., 30(3), 673-684.
    • (1994) Water Resour. Res. , vol.30 , Issue.3 , pp. 673-684
    • Desbarats, A.J.1    Bachu, S.2
  • 6
    • 0030618861 scopus 로고    scopus 로고
    • Scaling of random fields by means of truncated power variograms and associated spectra
    • Di Federico, V., and S. P. Neuman (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
  • 7
    • 0003694128 scopus 로고
    • Fractal field simulations of tracer migration within the WTPP Culebra dolomite
    • Rep. IM2856-1, version 2, Intera Inf. Technol., Denver, Colo., March
    • Grindrod, P., and M. D. Impey (1992), Fractal field simulations of tracer migration within the WTPP Culebra dolomite, Rep. IM2856-1, version 2, 62 pp., Intera Inf. Technol., Denver, Colo., March.
    • (1992) , pp. 62
    • Grindrod, P.1    Impey, M.D.2
  • 8
    • 0003429609 scopus 로고    scopus 로고
    • Summary of air permeability data from single-hole injection tests in unsaturated fractured tuffs at the Apache Leap research site: Results of steady-state rest interpretation
    • Rep. NUREG/CR-6360, U.S. Nucl. Regul. Comm., Washington, D. C
    • Guzman, A. G., A. M. Geddis, M. J. Henrich, C. F. Lohrstorter, and S. P. Neuman (1996), Summary of air permeability data from single-hole injection tests in unsaturated fractured tuffs at the Apache Leap research site: Results of steady-state rest interpretation, Rep. NUREG/CR-6360, U.S. Nucl. Regul. Comm., Washington, D. C.
    • (1996)
    • Guzman, A.G.1    Geddis, A.M.2    Henrich, M.J.3    Lohrstorter, C.F.4    Neuman, S.P.5
  • 9
    • 85088068771 scopus 로고
    • Fractal distributions of reservoir heterogeneity and their influence on fluid transport
    • paper presented at 61st Annual Technical Conference, Soc. of Pet. Eng., New Orleans, La
    • Hewett, T. A. (1986), Fractal distributions of reservoir heterogeneity and their influence on fluid transport,. paper presented at 61st Annual Technical Conference, Soc. of Pet. Eng., New Orleans, La.
    • (1986)
    • Hewett, T.A.1
  • 10
    • 0242692704 scopus 로고    scopus 로고
    • Permissibility of fractal exponents and models of band-limited two-point functions for fGn and fBm random fields
    • doi:10.1007/ s00477-003-0126-8
    • Hristopulos, D. T. (2003), Permissibility of fractal exponents and models of band-limited two-point functions for fGn and fBm random fields, Stochastic Environ. Res. Risk Assess., 17, 191-216, doi:10.1007/ s00477-003-0126-8.
    • (2003) Stochastic Environ. Res. Risk Assess. , vol.17 , pp. 191-216
    • Hristopulos, D.T.1
  • 11
    • 0029662928 scopus 로고    scopus 로고
    • Discrimination of fractional Brownian movement and fractional Gaussian noise structures in permeability and related property distribution with range analysis
    • Liu, H. H., and F. J. Molz (1996), Discrimination of fractional Brownian movement and fractional Gaussian noise structures in permeability and related property distribution with range analysis, Water Resour Res., 32(8), 2601-2605.
    • (1996) Water Resour. Res. , vol.32 , Issue.8 , pp. 2601-2605
    • Liu, H.H.1    Molz, F.J.2
  • 12
    • 0000501589 scopus 로고
    • Fractional Brownian motions, fractional noises and applications
    • Mandelbrot, B. B., and J. W. Van Ness (1968), Fractional Brownian motions, fractional noises and applications, SIAM Rev., 10, 422-437.
    • (1968) SIAM Rev. , vol.10 , pp. 422-437
    • Mandelbrot, B.B.1    Van Ness, J.W.2
  • 13
    • 0027789235 scopus 로고
    • A stochastic interpolation scheme in subsurface hydrology
    • Molz, F. J., and G. K. Boman (1993), A stochastic interpolation scheme in subsurface hydrology, Water Resour. Res., 29(11), 3769-3774.
    • (1993) Water Resour. Res. , vol.29 , Issue.11 , pp. 3769-3774
    • Molz, F.J.1    Boman, G.K.2
  • 14
    • 0029413873 scopus 로고
    • Further evidence of fractal structure in hydraulic conductivity distribution
    • Molz, F. J., and G. K. Boman (1995), Further evidence of fractal structure in hydraulic conductivity distribution, Geophys. Res. Lett., 22(18), 2545-2548.
    • (1995) Geophys. Res. Lett. , vol.22 , Issue.18 , pp. 2545-2548
    • Molz, F.J.1    Boman, G.K.2
  • 15
    • 2542446420 scopus 로고    scopus 로고
    • Stochastic fractal-based models of heterogeneity in subsurface hydrology: Origins, applications, limitations, and future research questions
    • doi:10.1029/2003RG000126
    • Molz, F. J., H. Rajaram, and S. Lu (2004), Stochastic fractal-based models of heterogeneity in subsurface hydrology: Origins, applications, limitations, and future research questions, Rev. Geophys., 42, RG1002, doi:10.1029/2003RG000126.
    • (2004) Rev. Geophys. , vol.42
    • Molz, F.J.1    Rajaram, H.2    Lu, S.3
  • 16
    • 0025474361 scopus 로고
    • Universal scaling of hydraulic conductivities and dispersivities in geologic media
    • Neuman, S. P. (1990), Universal scaling of hydraulic conductivities and dispersivities in geologic media, Water Resour Res., 26(8), 1749-1758.
    • (1990) Water Resour. Res. , vol.26 , Issue.8 , pp. 1749-1758
    • Neuman, S.P.1
  • 17
    • 0028175645 scopus 로고
    • Generalized scaling of permeabilities: Validation and effect of support scale
    • Neuman, S. P. (1994), Generalized scaling of permeabilities: Validation and effect of support scale, Geophys. Res. Lett., 21(5), 349-352.
    • (1994) Geophys. Res. Lett. , vol.21 , Issue.5 , pp. 349-352
    • Neuman, S.P.1
  • 18
    • 0029412181 scopus 로고
    • On advective dispersion in fractal velocity and permeability fields
    • Neuman, S. P. (1995), On advective dispersion in fractal velocity and permeability fields, Water Resour. Res., 31(6), 1455-1460.
    • (1995) Water Resour. Res. , vol.31 , Issue.6 , pp. 1455-1460
    • Neuman, S.P.1
  • 19
    • 0346590021 scopus 로고    scopus 로고
    • Relationship between juxtaposed, overlapping, and fractal representations of multimodal spatial variability
    • doi:10.1029/2002WR001755
    • Neuman, S. P. (2003), Relationship between juxtaposed, overlapping, and fractal representations of multimodal spatial variability, Water Resour. Res., 39(8), 1205, doi:10.1029/2002WR001755.
    • (2003) Water Resour. Res. , vol.39 , Issue.8 , pp. 1205
    • Neuman, S.P.1
  • 20
    • 0348226510 scopus 로고    scopus 로고
    • Multifaceted nature of hydrogeologic scaling and its interpretation
    • doi:10.1029/2003RG000130
    • Neuman, S. P., and V. Di Federico (2003), Multifaceted nature of hydrogeologic scaling and its interpretation, Rev. Geophys., 41 (3), 1014, doi:10.1029/2003RG000130.
    • (2003) Rev. Geophys. , vol.41 , Issue.3 , pp. 1014
    • Neuman, S.P.1    Di Federico, V.2
  • 21
    • 0344185071 scopus 로고    scopus 로고
    • Conditional simulation of geologic media with evolving scales of heterogeneity
    • edited by G. Sposilo Cambridge Univ. Press, New York
    • Rubin, Y., and A. Bellin (1998), Conditional simulation of geologic media with evolving scales of heterogeneity, edited by G. Sposilo pp. 398-420, Scale Dependence and Scale Invariance in Hydrology, Cambridge Univ. Press, New York.
    • (1998) Scale Dependence and Scale Invariance in Hydrology , pp. 398-420
    • Rubin, Y.1    Bellin, A.2
  • 22
    • 0002212393 scopus 로고
    • Vertical versus horizontal well log variability and application to fractal reservoir modeling
    • edited by C. C. Barton and P. L. La Pointe, Springer, New York
    • Tubman, K. M., and S. D. Crane (1995), Vertical versus horizontal well log variability and application to fractal reservoir modeling, in Fractals in Petroleum Geology and Earth Processes, edited by C. C. Barton and P. L. La Pointe, pp. 279-293, Springer, New York.
    • (1995) Fractals in Petroleum Geology and Earth Processes , pp. 279-293
    • Tubman, K.M.1    Crane, S.D.2
  • 24
    • 0001070769 scopus 로고
    • Random fractals: Characterization and measurement
    • NATO ASI Ser., edited by R. Pynn and A. Skjeltorp, Springer, New York
    • Voss, R. F. (1985), Random fractals: Characterization and measurement, in Scaling Phenomena in Disordered Systems, NATO ASI Ser., vol. 133, edited by R. Pynn and A. Skjeltorp, Springer, New York.
    • (1985) Scaling Phenomena in Disordered Systems , vol.133
    • Voss, R.F.1
  • 25
    • 0035674977 scopus 로고    scopus 로고
    • Theoretical foundation for conductivity scaling
    • Winter, C. L. (2001), Theoretical foundation for conductivity scaling, Geophys. Res. Lett., 28(23), 4367-4370.
    • (2001) Geophys. Res. Lett. , vol.28 , Issue.23 , pp. 4367-4370
    • Winter, C.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.