Type curves and effective parameters for unsaturated flow systems with structured heterogeneities

Zaman, Musharraf; Ferrand, Lin A.; Celia, Michael A.

doi:10.1016/j.advwatres.2004.02.005

Cited by 4 publications

(1 citation statement)

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“…Preferential flow paths may have a significant impact on contaminant transport as they provide a quick passageway for contaminants, and corresponding shorter travel times affect transport processes such as adsorption and biodegradation. Contaminant transport may be modeled through the explicit inclusion of heterogeneity, or through the use of effective hydraulic conductivity and transport properties for heterogeneous unsaturated soils [e.g., Zaman et al , 2004]. Either way, solutions are dependent on the accurate representation of the velocity field.…”

Section: Introductionmentioning

confidence: 99%

Two‐dimensional steady unsaturated flow through embedded elliptical layers

Bakker

Nieber

2004

Water Resources Research

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[1] New analytic element solutions are presented for unsaturated, two-dimensional steady flow in vertical planes that include nonoverlapping impermeable elliptical layers and elliptical inhomogeneities. The hydraulic conductivity, which is represented by an exponential function of the pressure head, differs between the inside and outside of an elliptical inhomogeneity; both the saturated hydraulic conductivity and water retention parameters are allowed to differ between the inside and outside. The Richards equation is transformed, through the Kirchhoff transformation and a second standard transformation, into the modified Helmholtz equation. Analytic element solutions are obtained through separation of variables in elliptical coordinates. The resulting equations for the Kirchhoff potential consist of infinite sums of products of exponentials and modified Mathieu functions. In practical applications the series are truncated but still fulfill the differential equation exactly; boundary conditions are met approximately but up to machine accuracy, provided that enough terms are used. The pressure head, saturation, and flow may be computed analytically at any point in the vadose zone. Examples are given of the shadowing effect of an impermeable elliptical layer in a uniform flow field and funneltype flow between two elliptical inhomogeneities. The presented solutions may be applied to study transport processes in vadose zones containing many impermeable elliptical layers or elliptical inhomogeneities.

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Section: Introductionmentioning

confidence: 99%

Two‐dimensional steady unsaturated flow through embedded elliptical layers

Bakker

Nieber

2004

Water Resources Research

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Current awareness

2005

Hydrological Processes

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Gaume E, Gosset R. 2003. Over-parameterisation,a major obstacle to the use of artificial neural networks in hydrology? Hydrology and Earth System Sciences 7: 693-706. Jukic D, Denic-Jukic V. 2004. A frequency domain approach to groundwater recharge estimation in karst. Journal of Hydrology 289: 95-110. Khu S, Werner M. 2003. Reduction of Monte-Carlo simulation runs for uncertainty estimation in hydrological modelling. Hydrology and Earth System Sciences 7: 680-692. Lambot S, Slob E, van den Bosch I, Stockbroeckx B. 2004. Estimating soil electric properties from monostatic ground-penetrating radar signal inversion in the frequency domain.

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