Aquifer Characterization by Geophysical Methods

Vereecken, Harry; Kemna, Andreas; Münch, H.-M.; Tillmann, A.; Verweerd, A.

doi:10.1002/0470848944.hsa154b

Cited by 5 publications

(4 citation statements)

References 101 publications

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“…At present, there are two groups of methods available that allow us to quantify spatially variable properties and state variables in a space continuum. The first group of methods consists of hydrogeophysical and geophysical techniques (Vereecken et al, 2003, 2005; Rubin and Hubbard, 2005). At present, most of these studies have been undertaken in groundwater systems, with some studies limited to synthetic case studies.…”

Section: The Inverse Upscaling Approachesmentioning

confidence: 99%

Upscaling Hydraulic Properties and Soil Water Flow Processes in Heterogeneous Soils: A Review

Vereecken

Kasteel

Vanderborght

et al. 2007

Vadose Zone Journal

241

211

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This review covers, in a comprehensive manner, the approaches available in the literature to upscale soil water processes and hydraulic parameters in the vadose zone. We distinguish two categories of upscaling methods: forward approaches requiring information about the spatial distribution of hydraulic parameters at a small scale, and inverse modeling approaches requiring information about the spatial and temporal variation of state variables at various scales, including so-called "soft data". Geostatistical and scaling approaches are crucial to upscale soil water processes and to derive large-scale effective fluxes and parameters from small-scale information. Upscaling approaches include stochastic perturbation methods, the scaleway approach, the stream-tube approach, the aggregation concept, inverse modeling approaches, and data fusion. With all upscaling methods, the estimated effective parameters depend not only on the properties of the heterogeneous flow field but also on boundary conditions. The use of the Richards equation at the field and watershed scale is based more on pragmatism than on a sound physical basis. There are practically no data sets presently available that provide sufficient information to extensively validate existing upscaling approaches. Use of numerical case studies has therefore been most common. More recently and still under development, hydrogeophysical methods combined with ground-based remote sensing techniques promise significant contributions toward providing high-quality data sets. Finally, most of the upscaling literature in vadose zone research has dealt with bare soils or deep vadose zones. There is a need to develop upscaling methods for real world soils, considering root water uptake mechanisms and other soil-plant-atmosphere interactions.

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Section: The Inverse Upscaling Approachesmentioning

confidence: 99%

Upscaling Hydraulic Properties and Soil Water Flow Processes in Heterogeneous Soils: A Review

Vereecken

Kasteel

Vanderborght

et al. 2007

Vadose Zone Journal

241

211

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“…In recent years, electromagnetic methods, such as ground penetrating radar (GPR), time domain reflectometry (TDR) and electrical resistivity tomography (ERT) have been widely utilized in hydrogeology, civil engineering, etc. (Vereecken et al 2002, 2005, 2006; Butler 2005; Rubin & Hubbard 2005). In these applications, the electromagnetic properties inferred at the field‐scale are translated, via constitutive models, into quantities of practical interest, such as moisture content, solute concentration, petrophysical and geotechnical properties of the porous medium.…”

Section: Introductionmentioning

confidence: 99%

A combination of the Hashin-Shtrikman bounds aimed at modelling electrical conductivity and permittivity of variably saturated porous media

Brovelli¹,

Cassiani²

2010

Geophysical Journal International

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In this paper, we propose a novel theoretical model for the dielectric response of variably saturated porous media. The model is first constructed for fully saturated systems as a combination of the well-established Hashin and Shtrikman bounds and Archie's first law. One of the key advantages of the new constitutive model is that it explains both electrical conductivity-when surface conductivity is small and negligible-and permittivity using the same parametrization. The model for partially saturated media is derived as an extension of the fully saturated model, where the permittivity of the pore space is obtained as a combination of the permittivity of the aqueous and non-aqueous phases. Model parameters have a well-defined physical meaning, can be independently measured, and can be used to characterize the pore-scale geometrical features of the medium. Both the fully and the partially saturated models are successfully tested against measured values of relative permittivity for a wide range of porous media and saturating fluids. The model is also compared against existing models using the same parametrization, showing better agreement with the data when all the parameters are independently estimated. An example is also presented to demonstrate how the model can be used to predict the relative permittivity when only electrical conductivity is measured, or vice versa

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“…The development of reliable models for the prediction of effective porous media permittivity is of great importance in geophysics. In recent years, electromagnetic methods, such as ground-penetrating radar (GPR), time-domain reflectometry and electrical resistivity tomography have been adopted for a large number of applications, ranging from, for example, the study of contaminated soils, to hydrogeology and civil engineering (for reviews see Vereecken, Yaramanci and Kemna 2002;Rubin and Hubbard 2005;Butler 2005;Vereecken et al 2005Vereecken et al , 2006. The main advantage of such tools is that they allow fast, field-scale and noninvasive surveys.…”

Section: Introductionmentioning

confidence: 99%

Effective permittivity of porous media: a critical analysis of the complex refractive index model

Brovelli

Cassiani

2008

Geophysical Prospecting

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The availability of reliable constitutive models linking the bulk electric properties of porous media to their inner structure is a key requirement for useful quantitative applications of noninvasive methods. This study focuses on the use of dielectric measurements to monitor fluid saturation changes in porous materials. A number of empirical, semi-empirical and theoretical relationships currently exists that link the bulk dielectric constant with volumetric water content. One such relationship, named complex refractive index model or Lichteneker-Rother model has been extensively applied in recent years. Here we first analyse the characteristics of this Lichteneker-Rother model by means of theoretical considerations. This theoretical analysis indicates that the Lichteneker-Rother exponent is dependent upon the geometrical properties of the porous structure, as well as the permittivity contrast between the different phases. Pore-scale modelling and experimental data further support this result. The parameter estimation robustness in presence of synthetic data error is also assessed. This demonstrates that Lichteneker-Rother parameters cannot, in general, be independently identified on the basis of bulk dielectric constant versus moisture content data

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Aquifer Characterization by Geophysical Methods

Cited by 5 publications

References 101 publications

Upscaling Hydraulic Properties and Soil Water Flow Processes in Heterogeneous Soils: A Review

Upscaling Hydraulic Properties and Soil Water Flow Processes in Heterogeneous Soils: A Review

A combination of the Hashin-Shtrikman bounds aimed at modelling electrical conductivity and permittivity of variably saturated porous media

Effective permittivity of porous media: a critical analysis of the complex refractive index model

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