Model inversion of transient nonlinear groundwater flow models using model reduction

Despite increasing computational resources many high?dimensional applications are impractical for model inversions. In this paper, two methods are presented that are promising for high?dimensional model inversion. The methods draw on proper orthogonal decomposition (POD) and yield reduced models that describe a truncated behavior of the original...

Limitations to upscaling of groundwater flow models dominated by surface water interaction

Different upscaling methods for groundwater flow models are investigated. A suite of different upscaling methods is applied to several synthetic cases with structured and unstructured porous media. Although each of the methods applies best to one of the synthetic cases, no performance differences are formed if the methods were applied to a real...

Low-dimensional modelling of numerical groundwater flow

Inverse modeling of groundwater flow using model reduction

Numerical groundwater flow models often have a very high number of model cells (greater than a million). Such models are computationally very demanding, which is disadvantageous for inverse modeling. This paper describes a low?dimensional formulation for groundwater flow that reduces the computational burden necessary for inverse modeling. The...