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A review of a selection of papers describing the theory of transport in anisotropic porous media

Abstract

It is now generally accepted that the dispersion length, as defined in the classical advection-dispersion equation, is scale dependent. This report collects together and reviews some of the seminal papers in which have appeared the models and techniques that have led to our present understanding of solute transport in spatially stochastic media. Thus we examine the early work of Taylor on diffusion, the work of Saffman on capillaries, through to the more recent contributions of Dagan and Gelhar which regard the advective-dispersion equation as having stochastic parameters. The reports discuss these papers highlighting the physical arguments and in places deriving some of the more obscure results. This work is carried out by a cost-sharing contract with the European Atomic Energy Community for a research programme on Management, Storage and Radioactive waste disposal. 34 refs.
Authors:
Williams, M M.R. [1] 
  1. Electrowatt Engineering Services Ltd., Horsham (United Kingdom)
Publication Date:
May 01, 1993
Product Type:
Technical Report
Report Number:
EUR-14163
Reference Number:
SCA: 052002; 540230; PA: AIX-24:036304; SN: 93000977155
Resource Relation:
Other Information: PBD: 1993
Subject:
12 MANAGEMENT OF RADIOACTIVE AND NON-RADIOACTIVE WASTES FROM NUCLEAR FACILITIES; 54 ENVIRONMENTAL SCIENCES; ENVIRONMENTAL TRANSPORT; FLOW MODELS; DIFFUSION; REVIEWS; ADSORPTION; ADVECTION; ANISOTROPY; DIFFERENTIAL EQUATIONS; DISPERSIONS; POROUS MATERIALS; RADIOACTIVE WASTE DISPOSAL; RADIOACTIVE WASTE MANAGEMENT; RESEARCH PROGRAMS; SOLUTES; STOCHASTIC PROCESSES; 052002; 540230; WASTE DISPOSAL AND STORAGE; RADIOACTIVE MATERIALS MONITORING AND TRANSPORT
OSTI ID:
10144691
Research Organizations:
Commission of the European Communities, Luxembourg (Luxembourg)
Country of Origin:
CEC
Language:
English
Other Identifying Numbers:
Other: ON: TI93622717; CNN: Contract FI2W-0087; TRN: XE9300013036304
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[103] p.
Announcement Date:
Jul 05, 2005

Citation Formats

Williams, M M.R. A review of a selection of papers describing the theory of transport in anisotropic porous media. CEC: N. p., 1993. Web.
Williams, M M.R. A review of a selection of papers describing the theory of transport in anisotropic porous media. CEC.
Williams, M M.R. 1993. "A review of a selection of papers describing the theory of transport in anisotropic porous media." CEC.
@misc{etde_10144691,
title = {A review of a selection of papers describing the theory of transport in anisotropic porous media}
author = {Williams, M M.R.}
abstractNote = {It is now generally accepted that the dispersion length, as defined in the classical advection-dispersion equation, is scale dependent. This report collects together and reviews some of the seminal papers in which have appeared the models and techniques that have led to our present understanding of solute transport in spatially stochastic media. Thus we examine the early work of Taylor on diffusion, the work of Saffman on capillaries, through to the more recent contributions of Dagan and Gelhar which regard the advective-dispersion equation as having stochastic parameters. The reports discuss these papers highlighting the physical arguments and in places deriving some of the more obscure results. This work is carried out by a cost-sharing contract with the European Atomic Energy Community for a research programme on Management, Storage and Radioactive waste disposal. 34 refs.}
place = {CEC}
year = {1993}
month = {May}
}