The Relative Importance of Head, Flux and Prior Information in Hydraulic Tomography Analysis

Using cross-correlation analysis, we demonstrate that flux measurements at observation locations during hydraulic tomography (HT) surveys carry non-redundant information about heterogeneity that are complementary to head measurements at the same locations. We then hypothesize that a joint interpret...

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Main Author: Tso, Chak Hau Michael
Other Authors: Yeh, Tian-Chyi Jim
Language:en_US
Published: The University of Arizona. 2015
Subjects:
Online Access:http://hdl.handle.net/10150/556860
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spelling ndltd-arizona.edu-oai-arizona.openrepository.com-10150-5568602015-10-23T05:43:38Z The Relative Importance of Head, Flux and Prior Information in Hydraulic Tomography Analysis Tso, Chak Hau Michael Yeh, Tian-Chyi Jim Ferre, Ty P. A. Mok, Chin Man W. geostatistics groundwater hydraulic tomography inverse modeling prior information Hydrology flux Using cross-correlation analysis, we demonstrate that flux measurements at observation locations during hydraulic tomography (HT) surveys carry non-redundant information about heterogeneity that are complementary to head measurements at the same locations. We then hypothesize that a joint interpretation of head and flux data can enhance the resolution of HT estimates. Subsequently, we use numerical experiments to test this hypothesis and investigate the impact of stationary and non-stationary hydraulic conductivity field, and prior information such as correlation lengths, and initial mean models (uniform or distributed means) on HT estimates. We find that flux and head data from HT have already possessed sufficient heterogeneity characteristics of aquifers. While prior information (as uniform mean or layered means, correlation scales) could be useful, its influence on the estimates is limited as more non-redundant data are used in the HT analysis (see Yeh and Liu [2000]). Lastly, some recommendation for conducting HT surveys and analysis are presented. 2015 text Electronic Thesis http://hdl.handle.net/10150/556860 en_US Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author. The University of Arizona.
collection NDLTD
language en_US
sources NDLTD
topic geostatistics
groundwater
hydraulic tomography
inverse modeling
prior information
Hydrology
flux
spellingShingle geostatistics
groundwater
hydraulic tomography
inverse modeling
prior information
Hydrology
flux
Tso, Chak Hau Michael
The Relative Importance of Head, Flux and Prior Information in Hydraulic Tomography Analysis
description Using cross-correlation analysis, we demonstrate that flux measurements at observation locations during hydraulic tomography (HT) surveys carry non-redundant information about heterogeneity that are complementary to head measurements at the same locations. We then hypothesize that a joint interpretation of head and flux data can enhance the resolution of HT estimates. Subsequently, we use numerical experiments to test this hypothesis and investigate the impact of stationary and non-stationary hydraulic conductivity field, and prior information such as correlation lengths, and initial mean models (uniform or distributed means) on HT estimates. We find that flux and head data from HT have already possessed sufficient heterogeneity characteristics of aquifers. While prior information (as uniform mean or layered means, correlation scales) could be useful, its influence on the estimates is limited as more non-redundant data are used in the HT analysis (see Yeh and Liu [2000]). Lastly, some recommendation for conducting HT surveys and analysis are presented.
author2 Yeh, Tian-Chyi Jim
author_facet Yeh, Tian-Chyi Jim
Tso, Chak Hau Michael
author Tso, Chak Hau Michael
author_sort Tso, Chak Hau Michael
title The Relative Importance of Head, Flux and Prior Information in Hydraulic Tomography Analysis
title_short The Relative Importance of Head, Flux and Prior Information in Hydraulic Tomography Analysis
title_full The Relative Importance of Head, Flux and Prior Information in Hydraulic Tomography Analysis
title_fullStr The Relative Importance of Head, Flux and Prior Information in Hydraulic Tomography Analysis
title_full_unstemmed The Relative Importance of Head, Flux and Prior Information in Hydraulic Tomography Analysis
title_sort relative importance of head, flux and prior information in hydraulic tomography analysis
publisher The University of Arizona.
publishDate 2015
url http://hdl.handle.net/10150/556860
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