Scale invariance and stratification: The unified multifractal model of hydraulic conductivity

被引:4
|
作者
Tchiguirinskaia, I [1 ]
机构
[1] Clemson Univ, Dept Environm Sci & Engn, Anderson, SC 29625 USA
关键词
hydraulic conductivity; heterogeneity; stratification; scaling; multifractals;
D O I
10.1142/S0218348X02001373
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A fairly large body of observational evidence shows that the hydraulic conductivity is an extremely heterogeneous physical phenomenon that exhibits wide variability over a broad range of horizontal and vertical scales. Stochastic multifractals that result from continuous dynamic cascades are suggested as an appropriate model to capture the scale-invariance and stratification of the Columbus site hydraulic conductivity. Then, observed interrelations between estimates of multifractal parameters, those characterize vertical and horizontal scaling regimes, are interpreted by the unified multifractal model.
引用
收藏
页码:329 / 334
页数:6
相关论文
共 50 条
  • [1] Multifractal analyses of hydraulic conductivity distributions
    Liu, HH
    Molz, FJ
    WATER RESOURCES RESEARCH, 1997, 33 (11) : 2483 - 2488
  • [2] Multifractal anisotropic scaling of the hydraulic conductivity
    Tennekoon, L
    Boufadel, MC
    Lavallee, D
    Weaver, J
    WATER RESOURCES RESEARCH, 2003, 39 (07)
  • [3] Unified multifractal atmospheric dynamics tested in the tropics: part II, vertical scaling and generalized scale invariance
    Lazarev, A.
    Schertzer, D.
    Lovejoy, S.
    Chigirinskaya, Y.
    NONLINEAR PROCESSES IN GEOPHYSICS, 1994, 1 (2-3) : 115 - 123
  • [4] Flow through porous media with multifractal hydraulic conductivity
    Veneziano, D
    Essiam, AK
    WATER RESOURCES RESEARCH, 2003, 39 (06)
  • [5] Scale invariance and multifractal structure in transitional pipe flow
    DiTommaso, RM
    Esposito, F
    Laurenzana, R
    Nino, E
    Serio, C
    EUROPHYSICS LETTERS, 1996, 36 (09): : 669 - 674
  • [6] Numerical investigations of discrete scale invariance in fractals and multifractal measures
    Zhou, Wei-Xing
    Sornette, Didier
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2009, 388 (13) : 2623 - 2639
  • [7] Unified Packing Model for Improved Prediction of Porosity and Hydraulic Conductivity of Binary Mixed Soils
    El-Husseiny, Ammar
    WATER, 2021, 13 (04)
  • [8] SCALE DEPENDENCY OF HYDRAULIC CONDUCTIVITY MEASUREMENTS
    ROVEY, CW
    CHERKAUER, DS
    GROUND WATER, 1995, 33 (05) : 769 - 780
  • [9] THE UNIFIED SCALING MODEL OF ATMOSPHERIC DYNAMICS AND SYSTEMATIC ANALYSIS OF SCALE-INVARIANCE IN CLOUD RADIANCES
    LOVEJOY, S
    SCHERTZER, D
    SILAS, P
    TESSIER, Y
    LAVALLEE, D
    ANNALES GEOPHYSICAE-ATMOSPHERES HYDROSPHERES AND SPACE SCIENCES, 1993, 11 (2-3): : 119 - 127
  • [10] MASS-TRANSFER IN SOILS WITH LOCAL STRATIFICATION OF HYDRAULIC CONDUCTIVITY
    LI, L
    BARRY, DA
    CULLIGANHENSLEY, PJ
    BAJRACHARYA, K
    WATER RESOURCES RESEARCH, 1994, 30 (11) : 2891 - 2900