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Redundant and Nonredundant Information for Model Calibration or Hydraulic Tomography
Authors:Jet-Chau Wen  Jyun-Lin Chen  Tian-Chyi Jim Yeh  Yu-Li Wang  Shao-Yang Huang  Zhong Tian  Chia-Yii Yu
Institution:1. Department of Safety, Health and Environmental Engineering, National Yunlin University of Science and Technology, 123, Section 3, University Road, Douliou 64002, Yunlin, Taiwan

Research Center for Soil and Water Resources and Natural Disaster Prevention, National Yunlin University of Science and Technology, 123, Section 3, University Road, Douliou 64002, Yunlin, Taiwan;2. Doctoral Program, Graduate School of Engineering Science and Technology, National Yunlin University of Science and Technology, 123, Section 3, University Road, Douliou 64002, Yunlin, Taiwan;3. Department of Hydrology and Atmospheric Sciences, University of Arizona, John Harshbarger Building, 1133 E. North Campus Drive, Tucson, AZ, 85721 USA;4. State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, 24, South Section 1, Yihuan Road, Chengdu, 610065 China;5. Safety, Health, and Environmental Center, Group Administration, Formosa Plastics Group, 201, Tunghwa North Road, Taipei, 10508 Taiwan

Abstract:Drawdown data from independent pumping tests have widely been used to validate the estimated hydraulic parameters from inverse modeling or hydraulic tomography (HT). Yet, the independent pumping test has not been clearly defined. Therefore, the goal of this paper is to define this independent pumping test concept, based on the redundant or nonredundant information about aquifer heterogeneity embedded in the observed heads during cross-hole pumping tests. The definition of complete, moderate redundancy and high nonredundancy of information are stipulated using cross-correlation analysis of the relationship between the head and heterogeneity. Afterward, data from numerical experiments and field sequential pumping test campaigns reinforce the concept and the definition.
Keywords:
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