Upscaling: a review

Farmer, Chris L.

doi:10.1002/fld.267

Cited by 321 publications

(180 citation statements)

References 55 publications

Supporting

Mentioning

179

Contrasting

Unclassified

Order By: Relevance

“…Upscaling, i.e. methods to make measurements, process descriptions, or model parameters identified at the local scale available for use at larger scales, has received wide attention in the hydrological literature (Becker and Braun 1999;Farmer 2002;Neuman and Di Federico 2003;Renard and de Marsily 1997;Sánchez-Vila et al 1995). The same is true for regionalisation, i.e.…”

Section: Gw-sw Related Processes At Different Scalesmentioning

confidence: 99%

Groundwater and Surface Water Interaction at the Regional-scale – A Review with Focus on Regional Integrated Models

Barthel

Banzhaf

2015

Water Resour Manage

201

124

View full text Add to dashboard Cite

Scientists and practitioners agree that integrated water resource management is necessary, with an increasing need for research at the regional scale (10 3 to 10 5 km 2 ). At this scale interactions between environmental and human systems are fully developed and global change is linked to local actions. The groundwater-surface water interaction (GW-SW) is of particular interest. Herein we review the scientific journal literature and examine GW-SW at the regional scale. We briefly review all existing literature on GW-SW, then summarise its characteristics at different scales and identify specific challenges of the regional scale. We explore whether GW-SW should be treated differently at regional and local scales. Regional GW-SW is rarely examined in experimental field studies, which almost exclusively cover small areas. However, GW-SW is often integral to large scale coupled models. Thus, we collate information about existing models and their regional applications. Fully coupled, physics-based models have great potential to meet the technical challenges. However, limited data availability hampers the application of complex models at the regional scale and loosely coupled schemes are more widely applied. Many integrated modelling concepts have been published, but none have been applied in a wide range of settings. Thus, it is impossible to compare the performance of different approaches. Comparative analyses of existing regional scale integrated models in the context of different data availability and geographic conditions are needed. Unfortunately, peer-reviewed journal literature no longer provides a representative picture of the subject as models are becoming Btoo big to be published^or too pragmatic.

show abstract

Section: Gw-sw Related Processes At Different Scalesmentioning

confidence: 99%

Groundwater and Surface Water Interaction at the Regional-scale – A Review with Focus on Regional Integrated Models

Barthel

Banzhaf

2015

Water Resour Manage

201

124

View full text Add to dashboard Cite

show abstract

“…The rapid variations in fine-scale permeability have big influence on the flow and need to be accounted for in the numerical methods. Various upscaling procedures have been developed to increase the efficiency of the flow calculations (see [12]). These techniques serve to construct coarse-scale flow parameters for the global problem on a coarser scale.…”

mentioning

confidence: 99%

Multiscale mass conservative domain decomposition preconditioners for elliptic problems on irregular grids

2011

View full text Add to dashboard Cite

Multiscale methods can in many cases be viewed as special types of domain decomposition preconditioners. The localisation approximations introduced within the multiscale framework are dependent upon both the heterogeneity of the reservoir and the structure of the computational grid. While previous works on multiscale control volume methods have focused on heterogeneous elliptic problems on regular Cartesian grids, we have tested the multiscale control volume formulations on two-dimensional elliptic problems involving heterogeneous media and irregular grid structures. Our study shows that the tangential flow approximation commonly used within multiscale methods is not suited for problems involving rough grids. We present a more robust mass conservative domain decomposition preconditioner for simulating flow in heterogeneous porous media on general grids.

show abstract

“…Bayes' theorem then reveals that the posterior probability density of the states given the observations is proportional to the product of the likelihood and the prior density. 3 Thus, the consequence of Bayes' theorem is that we can find, in principle, We emphasize that the application of Bayes' theorem is not a way of extracting theories or models from data: it is just a procedure for updating probability densities. As we have indicated in the previous section, we need to perform forecast evaluation to quantify the fidelity of models and probability densities.…”

Section: (C) Bayes' Theoremmentioning

confidence: 99%

Uncertainty quantification and optimal decisions

Farmer

2017

Proc. R. Soc. A.

Self Cite

View full text Add to dashboard Cite

A mathematical model can be analysed to construct policies for action that are close to optimal for the model. If the model is accurate, such policies will be close to optimal when implemented in the real world. In this paper, the different aspects of an ideal workflow are reviewed: modelling, forecasting, evaluating forecasts, data assimilation and constructing control policies for decision-making. The example of the oil industry is used to motivate the discussion, and other examples, such as weather forecasting and precision agriculture, are used to argue that the same mathematical ideas apply in different contexts. Particular emphasis is placed on (i) uncertainty quantification in forecasting and (ii) how decisions are optimized and made robust to uncertainty in models and judgements. This necessitates full use of the relevant data and by balancing costs and benefits into the long term may suggest policies quite different from those relevant to the short term.

show abstract

Upscaling: a review

Cited by 321 publications

References 55 publications

Groundwater and Surface Water Interaction at the Regional-scale – A Review with Focus on Regional Integrated Models

Groundwater and Surface Water Interaction at the Regional-scale – A Review with Focus on Regional Integrated Models

Multiscale mass conservative domain decomposition preconditioners for elliptic problems on irregular grids

Uncertainty quantification and optimal decisions

Contact Info

Product

Resources

About