Journal ArticleDOI
Multi-length-scale theories for scale-up problem and renormalized perturbation expansion
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In this paper, the authors consider tracer particles driven by a Gaussian random velocity field and develop a renormalized perturbation expansion method to derive an approximate expression for a local diffusion operator.About:
This article is published in Advances in Water Resources.The article was published on 1997-10-01. It has received 19 citations till now. The article focuses on the topics: Randomness & Random field.read more
Citations
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Mixing, spreading and reaction in heterogeneous media: a brief review.
TL;DR: This paper provides a brief review on approaches of non-reactive and reactive transport modeling in geological media and its impact on spreading and mixing of dissolved species.
Journal ArticleDOI
Inertial effects in dispersion in porous media
TL;DR: In this paper, the authors developed a macro-scale transport equation for dispersion of a nonreactive chemical species, with a particular focus on the influence of inertial contributions at moderate Reynolds numbers.
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Renormalization group methods in subsurface hydrology: overview and applications in hydraulic conductivity upscaling
TL;DR: The renormalization group (RG) approach is a powerful theoretical framework, more suitable for upscaling strong heterogeneity than low-order perturbation expansions as mentioned in this paper, and applications of RG methods in subsurface hydrology include the calculation of macroscopic transport parameters such as effective and equivalent hydraulic conductivity and dispersion coefficients, and anomalous exponents characterizing the dispersion of contaminants due to long-range conductivity correlations.
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Upscaling of reactive mass transport in fractured rocks with multimodal reactive mineral facies
TL;DR: Deng et al. as discussed by the authors presented a methodology for upscaling matrix-material transport parameters in fractured flow dominated systems with multimodal reactive mineral facies, where a conceptual model of hierarchical reactive matrix minerals facies was integrated with a dual-porosity model for simulating diffusion of solutes out of fractures and sorption onto the matrix minerals.
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Reactive solute transport in physically and chemically heterogeneous porous media with multimodal reactive mineral facies: The Lagrangian approach
TL;DR: This paper uses the Deng et al. (2013) conceptual model for multimodal reactive mineral facies and a Lagrangian-based stochastic theory in order to analyze the reactive solute dispersion in three-dimensional anisotropic heterogeneous porous media with hierarchical organization of reactive minerals.
References
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Book
Flow and Transport in Porous Formations
TL;DR: In this article, the authors presented a systematic and comprehensive approach to analyze the large scale heterogeneity of aquifers and its effect on the transport of contaminant in subsurface hydrology.
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.
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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.
Book
The Physics of Fluid Turbulence
TL;DR: In this article, the authors present a reference record created on 2005-11-18, modified on 2016-08-08, using the term "fluid reference record" to describe the fluides reference record.
Journal ArticleDOI
Solute transport in heterogeneous porous formations
TL;DR: In this article, a first-order perturbation approximation of the Eulerian velocity covariances for uniform average flow is used to derive closed-form expressions of the closedform expressions for the concentration expectation value, which satisfies a diffusion equation with time-dependent apparent dispersion coefficients.