Inverse modelling of groundwater flow using model reduction
conference paper
This paper describes a reduced model for groundwater flow that reduces the computational burden necessary for inverse modelling. The formulation follows from a projection of the original groundwater flow equation upon a set of basis vectors (i.e. patterns). Those patterns are computed by a decomposition of the covariance matrix for an ensemble of model evaluations. These represent the model behaviour with respect to model forces and a set of estimation parameters. By projecting (mapping) the original equations upon those patterns, a reduced model is obtained that can be used to solve a minimization problem with negligible computational costs. For several synthetic cases this reduced model found the global minimum more efficiently than the original model using adjoints or finite differences.
Topics
TNO Identifier
239384
ISSN
01447815
ISBN
9781901502589
Source title
ModelCARE 2005, 6 June 2005 through 9 June 2005, Hague, Conference code: 67852
Pages
113-119
Files
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