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Usefulness of flux measurements during hydraulic tomographic survey for mapping hydraulic conductivity distribution in a fractured medium
Institution:1. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan, China;2. Department of Hydrology and Water Resources, The University of Arizona, Tucson, AZ, USA;3. College of Environment and Resources, Jilin University, Changchun, China;1. Faculty of Engineering, China University of Geosciences, Wuhan 430074, China;2. Tianjin Key Laboratory of Water Resources and Environment, Tianjin Normal University, Tianjin, China;3. Department of Hydrology and Atmospheric Sciences, University of Arizona, Tucson, AZ 85721, USA;4. Graduate School of Engineering Science and Technology, National Yunlin University of Science and Technology, Douliou, Taiwan;5. Research Center for Soil and Water Resources and Natural Disaster Prevention, National Yunlin University of Science and Technology, Douliou, Taiwan;1. National Engineering Research Center for Inland Waterway Regulation, Chongqing Jiaotong University, Chongqing, China;2. Key Laboratory for Water Environment and Resources, Tianjin Normal University, Tianjin, China;3. Department of Hydrology and Water Resources, University of Arizona, Tucson, AZ, USA;4. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan, China;1. Department of Earth & Environmental Sciences, University of Waterloo, Waterloo, Ontario, Canada;2. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan, China;1. Key Laboratory of Water Cycle and Related Land Surface Processes, Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing, China;2. Department of Earth and Environmental Sciences, University of Waterloo, Waterloo, Ontario, Canada
Abstract:Using the first-order analysis, we investigate the spatial cross-correlation between hydraulic conductivity variation and specific discharge (flux) as well as its components measured in a borehole under steady-state flow conditions during cross-hole pumping tests in heterogeneous aquifers. These spatial correlation patterns are found to be quite different from that between the hydraulic conductivity variation and the hydraulic head measurement in the same borehole. This finding suggests that a specific discharge measurement carries non-redundant information about the spatial distribution of heterogeneity, even this measurement is collected from the same location where the head measurement is taken. As such, specific discharge observations should be included in the analysis of hydraulic tomography to increase the resolution of estimated aquifer heterogeneity. Using numerical experiments, we demonstrate the effectiveness of the joint interpretation of both hydraulic heads and fluxes for mapping fracture distributions in a hypothetic geologic medium.
Keywords:Hydraulic tomography  Cross-correlation analysis  Inversion  Joint interpretation
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