NDLI: Conditional Stochastic Analysis for Multiphase Trsnsport in Randomly Heterogeneous, variably Saturated Media

Content Provider	Springer Nature Link
Author	ZHANG, DONGXIAO
Copyright Year	1997
Abstract	Groundwater contamination of organics has recently become a problem of growing concern over the resulting health and environmental problems. In general, the multiphase system of nonaqueous phase liquid (NAPL), water and air has to be studied in order to realistically describe the movement of such materials in the subsurface. Numerous models have been developed to study multiphase flow and/or multispecies transport in porous media. However, using models to study the influence of medium heterogeneity on such flow and transport is only a recent event. It has been demonstrated for single-phase flow and transport in saturated and unsaturated media that the study of medium heterogeneity is amenable to stochastic analysis. In this paper, we extend our Eulerian–Lagrangian stochastic theory for single-phase transport to the problem of multiphase–multispecies transport in randomly heterogeneous media under the conditions that the flow is steady-state and the phases are in local chemical equilibrium. We present theoretical expressions to describe the first two conditional moments of the random concentration of any species in any phase. Though they reveal some of the fundamental properties and help gaining insight into the nature of the problem, these expressions cannot be evaluated without either high resolution Monte Carlo simulation or approximation (closure). Therefore, we propose two sets of workable approximations, one being a weak approximation and the other being a linearized pseudo-Fickian approximation. The former yields a nonlinear integro-differential equation for the first conditional moment and the latter yields a linear differential equation. Then the second moments can be computed from explicit expressions from either the weak or pseudo-Fickian approximation.
Starting Page	265
Ending Page	287
Page Count	23
File Format	PDF
ISSN	01693913
Journal	Transport in Porous Media
Volume Number	27
Issue Number	3
e-ISSN	15731634
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	1997-01-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Industrial Chemistry/Chemical Engineering Hydrogeology Geotechnical Engineering Mechanics, Fluids, Thermodynamics Civil Engineering
Content Type	Text
Resource Type	Article
Subject	Catalysis

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Stochastic Simulations of NAPL Mass Transport in Variably Saturated Heterogeneous Porous Media

Stochastic Finite Element Analysis for Multiphase Flow in Heterogeneous Porous Media

Recursive Conditional Moment Equations for Advective Transport in Randomly Heterogeneous Velocity Fields

Radial Flow in a Bounded Randomly Heterogeneous Aquifer

Estimation of Macrodispersion by Different Approximation Methods for Flow and Transport in Randomly Heterogeneous Media

Gaussian Closure of One-Dimensional Unsaturated Flow in Randomly Heterogeneous Soils

2-D Numerical Modeling of Bioremediation in Heterogeneous Saturated Soils

Stochastic Analysis of Reactive Solute Transport in Heterogeneous, Fractured Porous Media: A Dual-Permeability Approach

Electrical Resistivity Index in Multiphase Flow through Porous Media

Conditional Stochastic Analysis for Multiphase Trsnsport in Randomly Heterogeneous, variably Saturated Media

Similar Documents

Stochastic Simulations of NAPL Mass Transport in Variably Saturated Heterogeneous Porous Media

Stochastic Finite Element Analysis for Multiphase Flow in Heterogeneous Porous Media

Recursive Conditional Moment Equations for Advective Transport in Randomly Heterogeneous Velocity Fields

Radial Flow in a Bounded Randomly Heterogeneous Aquifer

Estimation of Macrodispersion by Different Approximation Methods for Flow and Transport in Randomly Heterogeneous Media

Gaussian Closure of One-Dimensional Unsaturated Flow in Randomly Heterogeneous Soils

2-D Numerical Modeling of Bioremediation in Heterogeneous Saturated Soils

Stochastic Analysis of Reactive Solute Transport in Heterogeneous, Fractured Porous Media: A Dual-Permeability Approach

Electrical Resistivity Index in Multiphase Flow through Porous Media

Conditional Stochastic Analysis for Multiphase Trsnsport in Randomly Heterogeneous, variably Saturated Media