Journal ArticleDOI
Analysis of the Spatial Structure of Properties of Selected Aquifers
TLDR
In this paper, the horizontal spatial correlation structure of transmissivity, hydraulic conductivity, and storage coefficient of 31 regional aquifers is analyzed to identify the horizontal correlation structure.Abstract:
Data from 31 regional aquifers are analyzed to identify the horizontal spatial correlation structure of transmissivity, hydraulic conductivity, and storage coefficient. Three parameters are estimated: the variance of small-scale variability (or nugget) and the variance and integral scale (range) of an exponential covariance function. The assumption of normality of the aforementioned geohydrologic parameters and their logarithmic transformations is also examined. Results are obtained which indicate that the logarithms of these properties generally pass normality tests.read more
Citations
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Journal ArticleDOI
Scale issues in hydrological modelling: A review
TL;DR: A framework is provided for scaling and scale issues in hydrology and a more holistic perspective dealing with dimensional analysis and similarity concepts is addressed, which deals with complex processes in a much simpler fashion.
Journal ArticleDOI
A natural gradient experiment on solute transport in a sand aquifer: Spatial variability of hydraulic conductivity and its role in the dispersion process
TL;DR: The Borden aquifer was examined in great detail by conducting permeability measurements on a series of cores taken along two cross sections, one along and the other transverse to the mean flow direction as discussed by the authors.
Journal ArticleDOI
Stochastic subsurface hydrology from theory to applications
TL;DR: In this paper, the authors used perturbation-based spectral theory to estimate the head variance, effective conductivity tensor, and macrodispersivity tensors in a field, and used these results to answer important questions about the large-scale behavior of naturally heterogeneous aquifers.
Journal ArticleDOI
A Bayesian analysis of kriging
TL;DR: In this paper, the best linear unbiased prediction procedure within a Bayesian framework was proposed for Gaussian random fields in a way that appropriately dealt with uncertainty in the covariance function.
Journal ArticleDOI
Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients
TL;DR: A novel variance reduction technique for the standard Monte Carlo method, called the multilevel Monte Carlo Method, is described, and numerically its superiority is demonstrated.
References
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Journal ArticleDOI
Three‐dimensional stochastic analysis of macrodispersion in aquifers
Lynn W. Gelhar,Carl L. Axness +1 more
TL;DR: In this article, the dispersive mixing resulting from complex flow in three-dimensionalally heterogeneous porous media is analyzed using stochastic continuum theory, which is consistent with controlled field experiments and Monte Carlo simulations.
Journal ArticleDOI
A Stochastic-Conceptual Analysis of One-Dimensional Groundwater Flow in Nonuniform Homogeneous Media
TL;DR: In this paper, the effects of stochastic parameter distributions on predicted hydraulic heads are analyzed with the aid of a set of Monte Carlo solutions to the pertinent boundary value problems, and the results show that the standard deviations of the input hydrogeologic parameters, particularly σy and σc, are important index properties; changes in their values lead to different responses for even when the means μy, μc, and μn are fixed.
Journal ArticleDOI
Spatial variability and uncertainty in groundwater flow parameters: A geostatistical approach
TL;DR: In this paper, a geostatistical approach is proposed for characterizing the uncertainty about the transmissivity field of an aquifer and analyzing its effect on predicted head values.
Journal ArticleDOI
A geostatistical approach to the inverse problem in groundwater modeling (steady state) and one‐dimensional simulations
TL;DR: In this paper, the problem of estimating Hydrogeologic parameters, in particular, permeability, from input-output measurements is reexamined in a geostatistical framework, where the field of the unknown parameters is represented as a 'random field' and the estimation procedure consists of two main steps.
OtherDOI
Hydrogeologic and hydrochemical framework, south-central Great Basin, Nevada-California, with special reference to the Nevada Test Site
TL;DR: In the case of the Nevada Test Site, water movement is controlled by variations in fracture transmissibility and by structural juxtaposition of the aquifer and the lower clastic aquitard.