Rights statement: An edited version of this paper was published by AGU. Copyright 2015 American Geophysical Union.
Accepted author manuscript, 9.49 MB, PDF document
Available under license: CC BY: Creative Commons Attribution 4.0 International License
Rights statement: C 2015. American Geophysical Union. All Rights Reserved.
Final published version, 5.28 MB, PDF document
Available under license: CC BY: Creative Commons Attribution 4.0 International License
Final published version
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
}
TY - JOUR
T1 - The relative importance of head, flux, and prior information in hydraulic tomography analysis
AU - Tso, Michael
AU - Zha, Yuanyuan
AU - Yeh, Tian-Chyi Jim
AU - Wen, Jet-Chau
N1 - C 2015. American Geophysical Union. All Rights Reserved.
PY - 2016/1
Y1 - 2016/1
N2 - Using cross-correlation analysis, we demonstrate that flux measurements at observation locations during hydraulic tomography (HT) surveys carry nonredundant 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, even when the same observation network as head has been used, can enhance the resolution of HT estimates. Subsequently, we use numerical experiments to test this hypothesis and investigate the impact of flux conditioning and prior information (such as correlation lengths and initial mean models (i.e., uniform mean or distributed means)) on the HT estimates of a nonstationary, layered medium. We find that the addition of flux conditioning to HT analysis improves the estimates in all of the prior models tested. While prior information on geologic structures could be useful, its influence on the estimates reduces as more nonredundant data (i.e., flux) are used in the HT analysis. Lastly, recommendations for conducting HT surveys and analysis are presented.
AB - Using cross-correlation analysis, we demonstrate that flux measurements at observation locations during hydraulic tomography (HT) surveys carry nonredundant 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, even when the same observation network as head has been used, can enhance the resolution of HT estimates. Subsequently, we use numerical experiments to test this hypothesis and investigate the impact of flux conditioning and prior information (such as correlation lengths and initial mean models (i.e., uniform mean or distributed means)) on the HT estimates of a nonstationary, layered medium. We find that the addition of flux conditioning to HT analysis improves the estimates in all of the prior models tested. While prior information on geologic structures could be useful, its influence on the estimates reduces as more nonredundant data (i.e., flux) are used in the HT analysis. Lastly, recommendations for conducting HT surveys and analysis are presented.
U2 - 10.1002/2015WR017191
DO - 10.1002/2015WR017191
M3 - Journal article
VL - 52
SP - 3
EP - 20
JO - Water Resources Research
JF - Water Resources Research
SN - 0043-1397
IS - 1
ER -