Wavelet upscaling based on piecewise bilinear approximation of the permeability field

Nilsen, Stein Tore; Espedal, Magne S.

doi:10.1007/bf00178122

Cited by 6 publications

(3 citation statements)

References 10 publications

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“…The final result depends on the wavelet functions selected. As an example, Nilsen and Espedal [1996] used a simple piecewise bilinear function, thus producing a highly competitive algorithm, in terms of computational speed.…”

Section: Mean Parallel Flow: Equivalent Parametersmentioning

confidence: 99%

Representative hydraulic conductivities in saturated groundwater flow

Sánchez-Vila

Guadagnini

Carrera

2006

Reviews of Geophysics

275

209

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Heterogeneity is the single most salient feature of hydrogeology. An enormous amount of work has been devoted during the last 30 years to addressing this issue. Our objective is to synthesize and to offer a critical appraisal of results related to the problem of finding representative hydraulic conductivities. By representative hydraulic conductivity we mean a parameter controlling the average behavior of groundwater flow within an aquifer at a given scale. Three related concepts are defined: effective hydraulic conductivity, which relates the ensemble averages of flux and head gradient; equivalent conductivity, which relates the spatial averages of flux and head gradient within a given volume of an aquifer; and interpreted conductivity, which is the one derived from interpretation of field data. Most theoretical results are related to effective conductivity, and their application to real world scenarios relies on ergodic assumptions. Fortunately, a number of results are available suggesting that conventional hydraulic test interpretations yield (interpreted) hydraulic conductivity values that can be closely linked to equivalent and/or effective hydraulic conductivities. Complex spatial distributions of geologic hydrofacies and flow conditions have a strong impact upon the existence and the actual values of representative parameters. Therefore it is not surprising that a large body of literature provides particular solutions for simplified boundary conditions and geological settings, which are, nevertheless, useful for many practical applications. Still, frequent observations of scale effects imply that efforts should be directed at characterizing well-connected stochastic random fields and at evaluating the corresponding representative hydraulic conductivities

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Section: Mean Parallel Flow: Equivalent Parametersmentioning

confidence: 99%

Representative hydraulic conductivities in saturated groundwater flow

Sánchez-Vila

Guadagnini

Carrera

2006

Reviews of Geophysics

275

209

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show abstract

“…In reservoir upscaling, it is used to determine the most essential fine scale data necessary to recover the transport properties of a system. (Nilsen and Espedal, 1996) compared the results with geometric mean upscaling, with wavelets performing better. Pancaldi et al (2007) did the comparison with renormalization, concluding that the two methods are in good agreement.…”

Section: Other Methodsmentioning

confidence: 99%

Upscaling Polymer Flooding to Model Sub-gridblock Geological Heterogeneity and Compensate for Numerical Dispersion

Al-Dhuwaihi¹,

King²,

Muggeridge³

2015

Proceedings

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“…Further, fractures and faults add to the complexity. Therefore, we need a good method for the representation of K. Hierarchical basis may be such a tool [27,18].…”

Section: Representation Of the Permeabilitymentioning

confidence: 99%