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Effective hydraulic conductivity of nonstationary aquifers - MaRDI portal

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Effective hydraulic conductivity of nonstationary aquifers (Q1329060)

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scientific article; zbMATH DE number 597718
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English
Effective hydraulic conductivity of nonstationary aquifers
scientific article; zbMATH DE number 597718

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    Effective hydraulic conductivity of nonstationary aquifers (English)
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    19 July 1994
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    Assuming that the \(ln\) hydraulic conductivity in an aquifer is mathematically approximated by a spatial deterministic ``surface'', or trend, plus a stationary random noise, we treat the problem of finding what the effective hydraulic conductivity of that aquifer is. This problem is tackled by spectral methods applied to a type of diffusion equation of groundwater flow, together with suitable coordinate transformations. Analytical (exact) solutions in terms of elementary functions are presented for one- and three-dimensional finite and infinite domains, and stability criteria are obtained.
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    correlation scale
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    heterogeneous aquifers
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    stationary random noise
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    spectral methods
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    diffusion equation
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    stability criteria
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