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Main Title Fractal-Based Stochastic Interpolation Scheme in Subsurface Hydrology.
Author Molz, F. J. ; Boman., G. K. ;
CORP Author Auburn Univ., AL. Dept. of Civil Engineering.;Robert S. Kerr Environmental Research Lab., Ada, OK.;Tennessee Valley Authority, Chattanooga.
Publisher cNov 93
Year Published 1993
Report Number EPA/600/J-94/170;
Stock Number PB94-162807
Additional Subjects Subsurface flow ; Hydrology ; Stochastic processes ; Interpolation ; Porosity ; Hydraulic conductivity ; Spatial distribution ; Temporal distribution ; Cross sections ; Data interpretation ; Brownian movement ; Gaussian noise ; Mathematical models ; Reprint ;
Library Call Number Additional Info Location Last
NTIS  PB94-162807 Some EPA libraries have a fiche copy filed under the call number shown. 07/26/2022
Collation 8p
Real porosity and hydraulic conductivity data do not vary smoothly over space, so an interpolation scheme that preserves irregularity is desirable. Such a scheme based on the properties of fractional Brownian motion (fBm) and fractional Gaussian noise (fGn) is presented. Following the methodology of Hewett (1986), the authors test for the presence of fGn in a set of 459 hydraulic conductivity (K) measurements. The use of rescaled-range analysis strongly indicated the presence of fGn when applied to the natural logs of the K data, and the resulting Hurst coefficient (H) was determined to be 0.82. This H value was then used along with the methodology for successive random additions to generate a fBm K interpolation (realization) in the vertical cross section between two wells. The results appeared realistic, and the overall methodology presented herein may serve as an improved basis for a conditional simulation approach to the study of various transport processes in porous media. (Copyright (c) 1993 American Geophysical Union.)