NDLI: Analysis of Displacement Variances in Stochastic Nonuniform Flows by Means of a First Order Analytical Model and Comparison with Monte-Carlo Simulations

Content Provider	Springer Nature Link
Author	Maugis, P. Mouche, E. Dewiere, L.
Copyright Year	2002
Abstract	Flow, particle displacement and particle arrival time statistics in 2D nonuniform flows, without microdispersion, are studied both theoretically, in the framework of stochastic modelling, and numerically by means of Monte-Carlo simulations.Turning, radial convergent and dipolar flow fields are considered. These three types of flow are numerically investigated in heterogeneous media with different levels of heterogeneity. Monte-Carlo simulations show (1) that the scale separation hypothesis, frequently used in fluid mechanics, is justified for one-point flow statistics; and (2) how displacement variances, and consequently the dispersivities defined as their spatial derivatives, depend on the type and the amplitude of flow nonuniformity: in none of the investigated cases does the assumption of scale separation hold for displacement, except in the turning flow when the spatial scale associated to the nonuniformity is much greater than the correlation scale of transmissivity.The theoretical approach of displacement and arrival time statistics relies on the analysis of particle trajectory. Displacement variances expressions are derived by the perturbation method for each type of flow and for different approximation orders. The proposed expressions of displacement variances are, on the whole, in good agreement with the numerical results. On the other hand, the uniform flow approximation – commonly used for the interpretation of tracer experiments – chosen such as to satisfy the mean arrival time to the pumping well, gives the best prediction of the breakthrough curves.
Starting Page	1
Ending Page	27
Page Count	27
File Format	PDF
ISSN	01693913
Journal	Transport in Porous Media
Volume Number	47
Issue Number	1
e-ISSN	15731634
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2002-01-01
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

Transient Stochastic Analysis of Biodegradable Contaminant Transport: First-Order Decay

An Analytical Solution for Contaminant Transport in nonuniform Flow

Monte Carlo Simulations of Observation Time-Dependent Self-Diffusion in Porous Media Models

Monte Carlo Simulation of Contaminant Transport: II. Morphological Disorder in Fracture Connectivity

Fingering Instability in Water-Oil Displacement

Monte Carlo Simulation of Contaminant Transport: I. Long-range Correlations in Fracture Conductivity

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

Steady Flows in Unsaturated Soils Are Stable

Numerical modeling of multiphase first-contact miscible flows. Part 1. Analytical Riemann solver

Analysis of Displacement Variances in Stochastic Nonuniform Flows by Means of a First Order Analytical Model and Comparison with Monte-Carlo Simulations

Similar Documents

Transient Stochastic Analysis of Biodegradable Contaminant Transport: First-Order Decay

An Analytical Solution for Contaminant Transport in nonuniform Flow

Monte Carlo Simulations of Observation Time-Dependent Self-Diffusion in Porous Media Models

Monte Carlo Simulation of Contaminant Transport: II. Morphological Disorder in Fracture Connectivity

Fingering Instability in Water-Oil Displacement

Monte Carlo Simulation of Contaminant Transport: I. Long-range Correlations in Fracture Conductivity

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

Steady Flows in Unsaturated Soils Are Stable

Numerical modeling of multiphase first-contact miscible flows. Part 1. Analytical Riemann solver

Analysis of Displacement Variances in Stochastic Nonuniform Flows by Means of a First Order Analytical Model and Comparison with Monte-Carlo Simulations