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  4. Development of a Methodology for Parameterization of Time scale and Space scale in Hydrological Systems Based on Wavelet Theory (I)
 
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Development of a Methodology for Parameterization of Time scale and Space scale in Hydrological Systems Based on Wavelet Theory (I)

Date Issued
2003
Date
2003
Author(s)
徐年盛
DOI
912313B002325
URI
http://ntur.lib.ntu.edu.tw//handle/246246/2829
Abstract
For the heterogeneous subsurface system, the heterogeneity and the spatial variability are the intrinsic properties of porous media which affects the water and pollutant transport process directly. A key factor of simulating results depends on whether the parameters of the subsurface system were parameterized properly or not. In this study, a wavelet based analysis is applied to evaluate the scale effects of parameters and to develop a quantitative method of parameter scales. First, the wavelet kernel function is used to derive the theoretical relationship between the wavelet spectrum of piezometric head and hydraulic conductivity in a one-dimensional heterogeneous system. Furthermore, by solving forward problem, the relationship between the wavelet spectrum energy of nonstationary hydraulic conductivity field that is generated artificially and the actual energy is analyzed. Finally, the scale effects that contribute to wavelet spectrum energy in the heterogeneous groundwater system are investigated. A general theoretical solution for tackling both stationary and nonstationary process was developed. The numerical examples showed that wavelet-based approach was able to identify both discontinuity and pattern of heterogeneous for the nonstationary hydraulic conductivity of subsurface groundwater system.
Subjects
heterogeneous
nonstationary
kernel function
wavelet spectrum
scale effects
Publisher
臺北市:國立臺灣大學土木工程學系暨研究所
Type
report
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912313B002325.pdf

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(MD5):ce9daf693a925fcc5e1ac42d2417adb6

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