Multiscale adaptive estimation of the conductivity field using pump test data |
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| Authors: | K K Lee J H Cushman |
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| Institution: | (1) Department of Geological Sciences, Seoul National University, 151-742 Seoul, Korea;(2) 1150 Lilly Hall of Life Science, Purdue University, 47907-1150 West Lafayette, IN, USA |
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| Abstract: | An inverse problem is posed in terms of log-conductivities which are decomposed into macroscale deterministic and microscale stochastic components. The macroscale and microscale conductivities conceptualize hierarchical, scale-dependent aquifer parameters. A deterministic parameter estimation scheme divides a flow domain into a limited number of macroscale constant conductivity zones. A stochastic microscale parameter estimation scheme is used to obtain fluctuations about the macroscale averages in terms of geostatistical models. Both the macroscale and the microscale conductivities are estimated via maximum likelihood, adjoint-state methodologies. Monte Carlo-type approaches are used to examine the distribution of macroscale and microscale conductivity estimates. |
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| Keywords: | Parameter identification multiscale adaptive inverse |
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