, Volume 36, Issue 1, pp 101126
First online:
An Application of Bayesian Inverse Methods to Vertical Deconvolution of Hydraulic Conductivity in a Heterogeneous Aquifer at Oak Ridge National Laboratory
 Michael N. FienenAffiliated withDepartment of Civil and Environmental Engineering, Stanford University
 , Peter K. KitanidisAffiliated withDepartment of Civil and Environmental Engineering, Stanford University
 , David WatsonAffiliated withEnvironmental Sciences Division, Oak Ridge National Laboratory
 , Philip JardineAffiliated withEnvironmental Sciences Division, Oak Ridge National Laboratory
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A Bayesian inverse method is applied to two electromagnetic flowmeter tests conducted in fractured weathered shale at Oak Ridge National Laboratory. Traditional deconvolution of flowmeter tests is also performed using a deterministic firstdifference approach; furthermore, ordinary kriging was applied on the firstdifference results to provide an additional method yielding the best estimate and confidence intervals. Depthaveraged bulk hydraulic conductivity information was available from previous testing. The three methods deconvolute the vertical profile of lateral hydraulic conductivity. A linear generalized covariance function combined with a zoning approach was used to describe structure. Nonnegativity was enforced by using a power transformation. Data screening prior to calculations was critical to obtaining reasonable results, and the quantified uncertainty estimates obtained by the inverse method led to the discovery of questionable data at the end of the process. The best estimates obtained using the inverse method and kriging compared favorably with firstdifference confirmatory calculations, and all three methods were consistent with the geology at the site.
 Title
 An Application of Bayesian Inverse Methods to Vertical Deconvolution of Hydraulic Conductivity in a Heterogeneous Aquifer at Oak Ridge National Laboratory
 Journal

Mathematical Geology
Volume 36, Issue 1 , pp 101126
 Cover Date
 200401
 DOI
 10.1023/B:MATG.0000016232.71993.bd
 Print ISSN
 08828121
 Online ISSN
 15738868
 Publisher
 Kluwer Academic PublishersPlenum Publishers
 Additional Links
 Topics
 Keywords

 flowmeter
 heterogeneity
 fractured aquifer
 Industry Sectors
 Authors

 Michael N. Fienen ^{(1)}
 Peter K. Kitanidis ^{(1)}
 David Watson ^{(2)}
 Philip Jardine ^{(2)}
 Author Affiliations

 1. Department of Civil and Environmental Engineering, Stanford University, Stanford, California, 943054020
 2. Environmental Sciences Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee, 378316038