Title
Low-dimensional modelling of numerical groundwater flow
Author
Vermeulen, P.T.M.
Heemink, A.W.
te Stroet, C.B.M.
Publication year
2004
Abstract
Numerical models are often used for simulating groundwater flow. Written in state-space form, the dimension of these models is of the order of the number of grid cells used and can be very high (more than a million). As a result, these models are computationally very demanding, especially if many different scenarios have to be simulated. In this paper we introduce a model reduction approach to develop an approximate model with a significantly reduced dimension. The reduction method is based upon several simulations of the large-scale numerical model. By computing the covariance matrix of the model results, we obtain insight into the variability of the model behaviour. Moreover, by selecting the leading eigenvectors of this covariance matrix, we obtain the spatial patterns that represent the directions in state space where the model variability is dominant. These patterns are also called empirical orthogonal functions. We can project the original numerical model onto those dominant spatial patterns. The result is a low-dimensional model that is still able to reproduce the dominant model behaviour. © 2004 John Wiley and Sons, Ltd.
Subject
Empirical orthogonal functions (EOFs)
Groundwater
Low-dimensional model
Model reduction
Modflow
Subspace identification
Approximation theory
Computer simulation
Eigenvalues and eigenfunctions
Functions
Groundwater flow
State space methods
Covariance
Orthogonal functions
Spatial patterns
Hydrology
computer simulation
eigenvalue
groundwater flow
numerical model
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http://resolver.tudelft.nl/uuid:9d39a45d-777c-424a-b1b3-ae89b8e9fed5
DOI
https://doi.org/10.1002/hyp.1424
TNO identifier
237843
ISSN
0885-6087
Source
Hydrological Processes, 18 (8), 1487-1504
Document type
article