气候变化领域集成服务门户(CCPortal): Integral transforms for flow and transport in discrete and continuum models of fractured heterogeneous porous media

CCPortal

DOI	10.1016/j.advwatres.2020.103621
	Integral transforms for flow and transport in discrete and continuum models of fractured heterogeneous porous media
	Cotta R.M.; Lisboa K.M.; Zotin J.L.Z.
发表日期	2020
ISSN	0309-1708
卷号	142
英文摘要	The Generalized Integral Transform Technique (GITT) is employed in combination with a single domain reformulation strategy and a coupled eigenvalue problem expansion base to construct analytical or hybrid numerical-analytical solutions for flow and transport in fractured porous media. The problem formulation and provided formal solutions encompass both continuum (multi-porosity/multi-permeability) and discrete (fracture-matrix interaction) models for heterogeneous porous media. The single domain representation is written with the aid of space variable coefficients, that account for the abrupt physical properties and source terms transitions across the different subregions. The aim is to provide an unified formalism that includes a wide class of problems in fluid flow, heat and mass transfer in heterogeneous media, with the integral transformation process for the potentials (pressure, velocities, temperature, or concentrations) being applied over the whole physical domain at once, thus markedly reducing the mathematical manipulations. The space variable coefficients are then carried on to the eigenvalue problem formulation which provides the base for the eigenfunction expansion. In addition, a coupled eigenvalue problem alternative is proposed, which is particularly useful in dealing with multi-porosity/multi-permeability flow and transport models, collapsing the multiple coupled potentials equations into one single integral transformation process. Two representative applications are briefly considered, one dealing with contaminant transport with discrete fracture-matrix interaction in layered porous media and the other related to dual porosity/dual permeability model of flow in unsaturated soils. © 2020 Elsevier Ltd
关键词	Continuum mechanics Expansion Flow of fluids Fracture Integral equations Mass transfer Porosity Porous materials Coupled eigenvalue problem Eigenfunction expansions Fracture-matrix interaction Fractured porous media Generalized integral transforms Heat and mass transfer Heterogeneous porous media Integral transformations Eigenvalues and eigenfunctions computer simulation fluid flow fracture flow fractured medium heat transfer heterogeneous medium mass transfer numerical model permeability porous medium
语种	英语
来源机构	Advances in Water Resources
文献类型	期刊论文
条目标识符	http://gcip.llas.ac.cn/handle/2XKMVOVA/131758
推荐引用方式 GB/T 7714	Cotta R.M.,Lisboa K.M.,Zotin J.L.Z.. Integral transforms for flow and transport in discrete and continuum models of fractured heterogeneous porous media[J]. Advances in Water Resources,2020,142.
APA	Cotta R.M.,Lisboa K.M.,&Zotin J.L.Z..(2020).Integral transforms for flow and transport in discrete and continuum models of fractured heterogeneous porous media.,142.
MLA	Cotta R.M.,et al."Integral transforms for flow and transport in discrete and continuum models of fractured heterogeneous porous media".142(2020).