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Multiscale analysis of permeability ...

Hyun, Yunjung.

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Multiscale analysis of permeability in porous and fractured media.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Multiscale analysis of permeability in porous and fractured media./
作者:	Hyun, Yunjung.
面頁冊數:	290 p.
附註:	Director: Shlomo P. Neuman.
Contained By:	Dissertation Abstracts International63-12B.
標題:	Hydrology. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3073235
ISBN:	9780493932392

Multiscale analysis of permeability in porous and fractured media.
Hyun, Yunjung.

Multiscale analysis of permeability in porous and fractured media. - 290 p.

Director: Shlomo P. Neuman.

Thesis (Ph.D.)--The University of Arizona, 2002.

I investigate the effects of domain and support scales on the multiscale properties of random fractal fields characterized by a power variogram using real and synthetic data. Neuman [1994] and Di Federico and Neuman [1997] have concluded empirically, on the basis of hydraulic conductivity data from many sites, that a finite window of length-scale L filters out all modes having integral scales lambda larger than lambda l = muL where mu &sime; 1/3. I confirm their finding computationally by generating truncated fBm (fractional Brownian motion) realizations on a large grid, using various initial values of mu, and demonstrating that mu &sime; 1/3 for windows smaller than the original grid. Synthetic experiments show that an fBm realization on a finite grid generated using a truncated power variogram yields more consistent sample variograms with theory than the realization generated using a power variogram. Wavelet interpretation of sample data from such a realization yields the comparable Hurst coefficient estimates with variogram analyses.

ISBN: 9780493932392Subjects--Topical Terms:

545716
Hydrology.

Multiscale analysis of permeability in porous and fractured media.
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100 1 $a Hyun, Yunjung. $3 1296070
245 1 0 $a Multiscale analysis of permeability in porous and fractured media.
300 $a 290 p.
500 $a Director: Shlomo P. Neuman.
500 $a Source: Dissertation Abstracts International, Volume: 63-12, Section: B, page: 5731.
502 $a Thesis (Ph.D.)--The University of Arizona, 2002.
520 $a I investigate the effects of domain and support scales on the multiscale properties of random fractal fields characterized by a power variogram using real and synthetic data. Neuman [1994] and Di Federico and Neuman [1997] have concluded empirically, on the basis of hydraulic conductivity data from many sites, that a finite window of length-scale L filters out all modes having integral scales lambda larger than lambda l = muL where mu &sime; 1/3. I confirm their finding computationally by generating truncated fBm (fractional Brownian motion) realizations on a large grid, using various initial values of mu, and demonstrating that mu &sime; 1/3 for windows smaller than the original grid. Synthetic experiments show that an fBm realization on a finite grid generated using a truncated power variogram yields more consistent sample variograms with theory than the realization generated using a power variogram. Wavelet interpretation of sample data from such a realization yields the comparable Hurst coefficient estimates with variogram analyses.
520 $a Di Federico et al. [1997] developed expressions for the equivalent hydraulic conductivity of a box-shaped volume, embedded in a log-hydraulic conductivity field characterized by a power variogram, under a mean uniform hydraulic gradient. I demonstrate that their expression and empirical value of mu &sime; 1/3 are consistent with a pronounced permeability scale effect observed in unsaturated fractured tuff at the Apache Leap Research Site (ALRS) near Superior, Arizona. I investigate the compatibility of single-hole air permeability data, obtained at the ALRS on a nominal support scale of about I m, with Min, fGn (fractional Gaussian noise), fLm (fractional Levy motion), bfLm (bounded fractional Levy motion) and UM (Universal Multifractals). I find the data become Gaussian from Levy as the lag increases (corresponding to bfLm). Though this implies multiple scaling, it is inconsistent with the UM model, which considers a unique distribution. With a UM model, nevertheless, one obtains a very small codimension, which suggests that multiple scaling is minor. Variogram and rescaled range analyses of the log-permeability data yield comparable estimates of the Hurst coefficient. Rescaled range analysis shows that the data are not compatible with an fGn model. I conclude that the data are represented most closely by a truncated fBm model.
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791 $a Ph.D.
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