Mechanics of multiphase fluid flows in variably saturated porous media
type: Item
instance of: scholarly article
title: Mechanics of multiphase fluid flows in variably saturated porous media
zbMATH Open document ID: 0575.76098
DOI: 10.1016/0020-7225(86)90090-X
author: Myron B. Allen
published in: International Journal of Engineering Science
publication date: 1986-01-01T00:00:00Z
review text: This article proposes a set of flow equations governing the simultaneous movement of aqueous and nonaqueous liquids in variably saturated soils. The basic principles and balance laws of continuum mixture theory, along with thermodynamically admissible constitutive laws and simplifying kinematic assumptions, yield a formulation for isochoric multiphase flows through a nondeforming porous matrix. Cast in terms of familiar quantities, the governing equations are similar in form to the classic Richards equation for each liquid phase. The development suggests new rock-fluid properties that must be measured to characterize multiphase flows in the unsaturated zone.
Mathematics Subject Classification ID: 76T99
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 86A05
zbMATH DE Number: 3920117
zbMATH Keywords: groundwater contamination
zbMATH Keywords: movement of aqueous and nonaqueous liquids
zbMATH Keywords: variably saturated soils
zbMATH Keywords: isochoric multiphase flows
zbMATH Keywords: nondeforming porous matrix
zbMATH Keywords: Richards equation
zbMATH Keywords: rock-fluid properties
MaRDI profile type: Publication
cites work: CAPILLARY CONDUCTION OF LIQUIDS THROUGH POROUS MEDIUMS
cites work: Mechanics of continuous porous media
cites work: Compressible porous media models by use of the theory of mixtures
cites work: CONTINUUM THEORIES OF MIXTURES: BASIC THEORY AND HISTORICAL DEVELOPMENT
cites work: Q3347808
full work available at URL: 0020-7225(86)90090-x
OpenAlex ID: W2010217989
description: scientific article; zbMATH DE number 3920117