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Multiscale adaptive estimation of the conductivity field from head and tracer data

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Abstract

Large scale fluctuations in the conductivity field are regionalized and estimated via a maximum likelihood, adjoint-state methodology. Small-scale fluctuations within each region are estimated adaptively via a Kalman-like stochastic filter. The variance and integral scale within each region are assumed to control the small-scale fluctuations. A Monte Carlo technique is used to examine the distribution of large-scale conductivity estimates.

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Lee, K.K., Deng, F.W. & Cushman, J.H. Multiscale adaptive estimation of the conductivity field from head and tracer data. Stochastic Hydrol Hydraul 7, 66–82 (1993). https://doi.org/10.1007/BF01581567

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