Calculating equivalent permeability: a review

Dual-permeability models are increasingly used to quantify the transport of solutes and microorganisms in soils with preferential flow. An ability to accurately determine the model parameters and their variation with preferential pathway characteristics is crucial for predicting the transport of microorganisms in the field. The dual-permeability model with optimized parameters was able to accurately describe the transport of E. coli D21g in columns with artificial macropores of different configurations and lengths at two ionic strength levels (1 and 20 mM NaCl). Correlations between the model parameters and the structural geometry of the preferential flow path were subsequently investigated. Decreasing the macropore length produced a decrease in the apparent saturated hydraulic conductivity of the macropore domain and an increase in the mass transfer between the macropore and matrix domains. The mass transfer coefficient was also found to be dependent on the configuration of the preferential flow pathway. A linear superposition approach was used to estimate field-scale preferential transport behavior for hypothetical fields with different amounts and configurations of macropores. Upscaling procedures were numerically investigated to predict this field-scale transport behavior from column-scale parameters. The upscaling method provided a satisfactory prediction of the field results under the tested scenarios. This information will be useful in assessing the risks of microbial transport due to preferential flow.

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“…Simple averaging of hydraulic parameters has been used as one way of upscaling (Fleckenstein and Fogg, 2008;Renard and De .08…”

Section: Parameter Upscalingmentioning

confidence: 99%

Estimation and upscaling of dual-permeability model parameters for the transport of E. coli D21g in soils with preferential flow

Wang

Bradford

Šimůnek

2014

Journal of Contaminant Hydrology

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“…The so-obtained model is called a geological model: it corresponds to a fine scale and usually encompasses a few millions grid blocks; -Performing a flow simulation at the fine scale is usually too CPU-time demanding. Therefore, the fine geological model is upscaled (Renard and Marsily, 1997). This process results in a coarse model, called reservoir model, which has to reproduce as closely as possible the flow behavior simulated for the fine geological model.…”

Section: Workflowmentioning

confidence: 99%

Advanced Integrated Workflows for Incorporating Both Production and 4D Seismic-Related Data into Reservoir Models

Ravalec

Tillier

Veiga

et al. 2012

Oil Gas Sci. Technol. – Rev. IFP Energies nouvelles

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“…NTG Percolation theory predicts a power-law relationship between permeability and the proximity of the system to its percolation threshold with a 3D power-law exponent of 1.6 (e.g. Renard & de Marsily 1997). The proximity of the system to its percolation threshold is measured as a function of the density of the permeable objects and the P when the latter is calculated using this revised density expression (Fig 8a).…”

Section: Dynamic Connectivitymentioning

confidence: 99%

Static and dynamic connectivity in bed-scale models of faulted and unfaulted turbidites

Manzocchi

Walsh

Tomasso

et al. 2007

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A range of unfaulted and faulted bed-scale models with sheet-like or lobate bed geometries and faults of comparable sizes to beds have been built and analysed in terms of bed connectivity and fractional permeability assuming permeable sands and impermeable shales and shale smears. A new method has been devised allowing amalgamation ratio to be included explicitly as model input and this property, rather than net:gross ratio, is found to be the dominant control on the connectivity of unfaulted sequences. At the geometrically representative scales considered (horizontal distances of >1 km for beds up to c. 1 m thick and faults up to c. 5 m throw), faulted sequences rarely have lower connectivities than their unfaulted sedimentological equivalents irrespective of whether fault rock properties are included. Models containing stochastically placed shale smears associated with each faulted shale horizon are generally better connected than if deterministic Shale Gouge Ratio cut-offs are applied. Despite the complex interactions between geological input and connectivity of the faulted sequences, the flow properties at representative scales are controlled by three geometrical variables describing connectivity, anisotropy and resolution. If two different faulted or unfaulted systems have identical values of these three variables they will have the same equivalent flow properties.

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Calculating equivalent permeability: a review

Cited by 795 publications

References 78 publications

Estimation and upscaling of dual-permeability model parameters for the transport of E. coli D21g in soils with preferential flow

Estimation and upscaling of dual-permeability model parameters for the transport of E. coli D21g in soils with preferential flow

Advanced Integrated Workflows for Incorporating Both Production and 4D Seismic-Related Data into Reservoir Models

Static and dynamic connectivity in bed-scale models of faulted and unfaulted turbidites

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