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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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. |
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geostatistics groundwater hydraulic tomography inverse modeling prior information Hydrology flux |
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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 |
work_keys_str_mv |
AT tsochakhaumichael therelativeimportanceofheadfluxandpriorinformationinhydraulictomographyanalysis AT tsochakhaumichael relativeimportanceofheadfluxandpriorinformationinhydraulictomographyanalysis |
_version_ |
1718109184100139008 |