TWO-PHASE FLOW IN A POROUS MEDIA TEST-CASES PERFORMED WITH TOUGH2

Similar documents

MIXING OF CO 2 AND CH 4 IN GAS RESERVOIRS: CODE COMPARISON STUDIES

Chapter 7 : Simple Mixtures

ME6130 An introduction to CFD 1-1

Express Introductory Training in ANSYS Fluent Lecture 1 Introduction to the CFD Methodology

Introduction to CFD Analysis

Derivation of the BET and Langmuir Isotherms

FUNDAMENTALS OF ENGINEERING THERMODYNAMICS

Coupling Forced Convection in Air Gaps with Heat and Moisture Transfer inside Constructions

Free Convection Film Flows and Heat Transfer

APPLICATION OF TRANSIENT WELLBORE SIMULATOR TO EVALUATE DELIVERABILITY CURVE ON HYPOTHETICAL WELL-X

Introduction to CFD Analysis

Lecture 3 Fluid Dynamics and Balance Equa6ons for Reac6ng Flows

Model of a flow in intersecting microchannels. Denis Semyonov

Surface Area and Porosity

Investigation of the Effect of Dynamic Capillary Pressure on Waterflooding in Extra Low Permeability Reservoirs

Thermodynamics of Mixing

vap H = RT 1T 2 = kj mol kpa = 341 K

ES-7A Thermodynamics HW 1: 2-30, 32, 52, 75, 121, 125; 3-18, 24, 29, 88 Spring 2003 Page 1 of 6

Compositional Reservoir Simulation With Emphasis on the IMPSAT Formulation. Jarle Haukås. PhD Thesis. Department of Mathematics University of Bergen

Customer Training Material. Lecture 2. Introduction to. Methodology ANSYS FLUENT. ANSYS, Inc. Proprietary 2010 ANSYS, Inc. All rights reserved.

POLLUTED EMISSION TREATMENTS FROM INCINERATOR GASES

Name Class Date. In the space provided, write the letter of the term or phrase that best completes each statement or best answers each question.

CHAPTER 12. Gases and the Kinetic-Molecular Theory

Periodical meeting CO2Monitor. Leakage characterization at the Sleipner injection site

= atm. 760 mm Hg. = atm. d. 767 torr = 767 mm Hg. = 1.01 atm

IMWA 2010 Sydney, Nova Scotia Mine Water & Innovative Thinking. 3 main divisions : Slide 2 DCO - 08/09/ titre - 2. Context

Computational Fluid Dynamics (CFD) and Multiphase Flow Modelling. Associate Professor Britt M. Halvorsen (Dr. Ing) Amaranath S.

Finite Element Modules for Enhancing Undergraduate Transport Courses: Application to Fuel Cell Fundamentals

Heterogeneous Catalysis and Catalytic Processes Prof. K. K. Pant Department of Chemical Engineering Indian Institute of Technology, Delhi

Boyle s law - For calculating changes in pressure or volume: P 1 V 1 = P 2 V 2. Charles law - For calculating temperature or volume changes: V 1 T 1

Chapter 12 - Liquids and Solids

Basin simulation for complex geological settings

Some generalization of Langmuir adsorption isotherm

Differential Relations for Fluid Flow. Acceleration field of a fluid. The differential equation of mass conservation

The Ideal Solution. ChemActivity T15

Keystone Exams: Chemistry Assessment Anchors and Eligible Content. Pennsylvania Department of Education

Frost Damage of Roof Tiles in Relatively Warm Areas in Japan

BS PROGRAM IN PETROLEUM ENGINEERING (VERSION 2010) Course Descriptions

Lecture 16 - Free Surface Flows. Applied Computational Fluid Dynamics

Everest. Leaders in Vacuum Booster Technology

Molar Mass of Butane

4. Introduction to Heat & Mass Transfer

So T decreases. 1.- Does the temperature increase or decrease? For 1 mole of the vdw N2 gas:

Experiment 5: Phase diagram for a three-component system (Dated: April 12, 2010)

Ch. 4: Imperfections in Solids Part 1. Dr. Feras Fraige

Final Exam CHM 3410, Dr. Mebel, Fall 2005

Comparison of commercial and new developed adsorbent materials for pre-combustion CO 2 capture by pressure swing adsorption

Period #16: Soil Compressibility and Consolidation (II)

Development of a model for the simulation of Organic Rankine Cycles based on group contribution techniques

Lecture 6 - Boundary Conditions. Applied Computational Fluid Dynamics

Chemistry 212 VAPOR PRESSURE OF WATER LEARNING OBJECTIVES

CFD Modelling of Wet Flue Gas Desulphurization (WFGD) Unit: A New Era of Process System Control and Optimization

A LAMINAR FLOW ELEMENT WITH A LINEAR PRESSURE DROP VERSUS VOLUMETRIC FLOW ASME Fluids Engineering Division Summer Meeting

Development of Thermal Recovery Simulator for Hot Water Flooding

CE 204 FLUID MECHANICS

Chemistry 13: States of Matter

1 Continuum versus Discrete Models

EXPERIMENTAL METHODS IN COLLOIDS AND SURFACES

Carbon Dioxide as Cushion Gas for Natural Gas Storage

Experiment 12E LIQUID-VAPOR EQUILIBRIUM OF WATER 1

Modeling and Simulation of Oil-Water Flows with Viscous Fingering in Heterogeneous Porous Media.

THERMOPHYSICAL PROPERTIES HUMID AIR

ORGANIC LABORATORY TECHNIQUES NEVER distill the distillation flask to dryness as there is a risk of explosion and fire.

TWO-DIMENSIONAL FINITE ELEMENT ANALYSIS OF FORCED CONVECTION FLOW AND HEAT TRANSFER IN A LAMINAR CHANNEL FLOW

Diffusion and Fluid Flow

We will try to get familiar with a heat pump, and try to determine its performance coefficient under different circumstances.

Chapter 13 - Solutions

Technion Israel Institute of Technology Masters of Engineering in Energy Engineering

16. Heat Pipes in Electronics Cooling (2)

PRESENT ISSUES FOR CENTRE DE LA MANCHE DISPOSAL FACILITY

Modeling and Simulations of Cavitating and Bubbly Flows

A drop forms when liquid is forced out of a small tube. The shape of the drop is determined by a balance of pressure, gravity, and surface tension

Fundamentals of THERMAL-FLUID SCIENCES

Chapter 10. Can You draw the Lewis structure for a given covalently bonded molecule?

Convection in water (an almost-incompressible fluid)

NUMERICAL INVESTIGATIONS ON HEAT TRANSFER IN FALLING FILMS AROUND TURBULENCE WIRES

48 Practice Problems for Ch Chem 1C - Joseph

Exergy: the quality of energy N. Woudstra

P. V A D A S Z J O U R N A L P U B L IC A T IO N S ( )

Phase diagram of water. Note: for H 2 O melting point decreases with increasing pressure, for CO 2 melting point increases with increasing pressure.

Thermodynamics. Chapter 13 Phase Diagrams. NC State University

Simulation of Fluid-Structure Interactions in Aeronautical Applications

A New Technique Provides Faster Particle Size Analysis at a Lower Cost Compared to Conventional Methods

OOMPFS A New Software Package for Geothermal Reservoir Simulation

Elsevier Editorial System(tm) for International Journal of Heat and Mass Transfer Manuscript Draft

Colligative Properties

Science Standard Articulated by Grade Level Strand 5: Physical Science

1 The Diffusion Equation

CSUS Department of Chemistry Experiment 8 Chem.1A

Viscosity of Liquids: Methanol and Water

Stability of Evaporating Polymer Films. For: Dr. Roger Bonnecaze Surface Phenomena (ChE 385M)

CHEMICAL ENGINEERING AND CHEMICAL PROCESS TECHNOLOGY - Vol. I - Interphase Mass Transfer - A. Burghardt

Chemistry. The student will be able to identify and apply basic safety procedures and identify basic equipment.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

EXERCISES. 16. What is the ionic strength in a solution containing NaCl in c=0.14 mol/dm 3 concentration and Na 3 PO 4 in 0.21 mol/dm 3 concentration?

When the fluid velocity is zero, called the hydrostatic condition, the pressure variation is due only to the weight of the fluid.

The Application of a Black-Box Solver with Error Estimate to Different Systems of PDEs

Sheet 5:Chapter 5 5 1C Name four physical quantities that are conserved and two quantities that are not conserved during a process.

CHAPTER 9 Part 1. = 5 wt% Sn-95 wt% Pb C β. = 98 wt% Sn-2 wt% Pb. = 77 wt% Ag-23 wt% Cu. = 51 wt% Zn-49 wt% Cu C γ. = 58 wt% Zn-42 wt% Cu

Transcription:

TWO-PHASE FLOW IN A POROUS MEDIA TEST-CASES PERFORMED WITH TOUGH2 Paris 23 rd September 2010 E. Treille, J. Wendling Andra C.TR.AEAP.1000xx AGENCE NATIONALE POUR LA GESTION DES DÉCHETS RADIOACTIFS

Tough2 Overview (1/2) Code for multi-phase and multi-component fluid flow and transport in porous media Developed at Lawrence Berkeley National Laboratory (LBNL) Thermophysical fluid properties for a wide range of pressures and temperatures Many capillary pressure and relative permeability relationships Available version with FORTRAN 77 files of source code =>adaptable for specific needs: additional relationships (Problem4) additional outputs Specific fluid property modules: EOS5 for water/hydrogen mixtures (Problems 1-2-3) EOS3 for water/air mixtures (Problem 4) 2 C.TR.AEAP.1000xx AGENCE NATIONALE POUR LA GESTION DES DÉCHETS RADIOACTIFS

Tough2 Overview (2/2) Space discretization is made from the integral form of the basic conservation equations (IFDM: integral finite difference method) Time is discretized fully implicitly (first-order) Linear equation system is solved using a Newton-Raphson iteration process Automatic time step control Primary variables (isothermal conditions): single phase conditions: P, X mass H2/air two-phase conditions: P g, S g primary variables are switched and re-initialized in response to a change of phase 3 C.TR.AEAP.1000xx AGENCE NATIONALE POUR LA GESTION DES DÉCHETS RADIOACTIFS

Tough2 modules EOS3/EOS5 Components: water and hydrogen (EOS5) or air (EOS3) Phases: liquid and gas Ideal gas law for gas phase Dalton s law for partial pressures: P gas =P H2/air +P vap Fluid advection described with a multiphase extension of Darcy s law Solubility of hydrogen according to Henry s law: X mole =H*P H2/air 4 C.TR.AEAP.1000xx AGENCE NATIONALE POUR LA GESTION DES DÉCHETS RADIOACTIFS

Main deviations from the test-cases specifications Diffusion model: i j α diffusive flux of component i in fluid phase j i α = φs ρ d X α α i α i α i with X α mass fraction of component i in phase α α Vapor pressure is not neglected: At 300 K saturated vapor pressure is 3532 Pa At 303 K saturated vapor pressure is 4205 Pa Compressibility of liquid water Production term for hydrogen: applied on a thin specific volume instead of a boundary surface 5 C.TR.AEAP.1000xx AGENCE NATIONALE POUR LA GESTION DES DÉCHETS RADIOACTIFS

Problem 1: gas phase appearance/disappearance Porous media initially fully saturated with pure water Regular spatial discretization: dx=1 m Time discretization: dtmin=1 s, dtmax = 1000 years Relative convergence criterion: 10-5 6 C.TR.AEAP.1000xx AGENCE NATIONALE POUR LA GESTION DES DÉCHETS RADIOACTIFS

Problem 1: gas phase appearance/disappearance Porous media initially fully saturated with pure water 7 C.TR.AEAP.1000xx AGENCE NATIONALE POUR LA GESTION DES DÉCHETS RADIOACTIFS

Problem 1: gas phase appearance/disappearance Porous media initially fully saturated with pure water 8 C.TR.AEAP.1000xx AGENCE NATIONALE POUR LA GESTION DES DÉCHETS RADIOACTIFS

Problem 1: gas phase appearance/disappearance Porous media initially partially saturated with liquid Regular spatial discretization: dx=1 m Time discretization: dtmin=1 s, dtmax = 1000 years Relative convergence criterion: 10-5 9 C.TR.AEAP.1000xx AGENCE NATIONALE POUR LA GESTION DES DÉCHETS RADIOACTIFS

Problem 1: gas phase appearance/disappearance Porous media initially partially saturated with liquid 10 C.TR.AEAP.1000xx AGENCE NATIONALE POUR LA GESTION DES DÉCHETS RADIOACTIFS

Problem 1: gas phase appearance/disappearance Porous media initially partially saturated with liquid 11 C.TR.AEAP.1000xx AGENCE NATIONALE POUR LA GESTION DES DÉCHETS RADIOACTIFS

Problem 2: two-phase flow in a non homogeneous porous media Porous media initially partially saturated with liquid 12 C.TR.AEAP.1000xx AGENCE NATIONALE POUR LA GESTION DES DÉCHETS RADIOACTIFS

Problem 2: two-phase flow in a non homogeneous porous media Porous media initially partially saturated with liquid 13 C.TR.AEAP.1000xx AGENCE NATIONALE POUR LA GESTION DES DÉCHETS RADIOACTIFS

Problem 2: two-phase flow in a non homogeneous porous media Porous media initially fully saturated with pure water Regular spatial discretization: dx=1 m Time discretization: dtmin=1 s, dtmax = 1000 years Relative convergence criterion: 10-5 14 C.TR.AEAP.1000xx AGENCE NATIONALE POUR LA GESTION DES DÉCHETS RADIOACTIFS

Problem 2: two-phase flow in a non homogeneous porous media Porous media initially fully saturated with pure water 15 C.TR.AEAP.1000xx AGENCE NATIONALE POUR LA GESTION DES DÉCHETS RADIOACTIFS

Problem 2: two-phase flow in a non homogeneous porous media Porous media initially fully saturated with pure water 16 C.TR.AEAP.1000xx AGENCE NATIONALE POUR LA GESTION DES DÉCHETS RADIOACTIFS

Problem 3: two-phase flow with non equilibrium states at initial time Regular spatial discretization: dx=0.005 m Time discretization: dtmin=1 s, dtmax = 1000 years Relative convergence criterion: 10-5 17 C.TR.AEAP.1000xx AGENCE NATIONALE POUR LA GESTION DES DÉCHETS RADIOACTIFS

Problem 3: two-phase flow with non equilibrium states at initial time Two adjacent partially saturated zones at initial time 18 C.TR.AEAP.1000xx AGENCE NATIONALE POUR LA GESTION DES DÉCHETS RADIOACTIFS

Problem 3: two-phase flow with non equilibrium states at initial time Two adjacent partially saturated zones at initial time 19 C.TR.AEAP.1000xx AGENCE NATIONALE POUR LA GESTION DES DÉCHETS RADIOACTIFS

Problem 3: two-phase flow with non equilibrium states at initial time Two adjacent partially saturated zones at initial time 20 C.TR.AEAP.1000xx AGENCE NATIONALE POUR LA GESTION DES DÉCHETS RADIOACTIFS

Problem 3: two-phase flow with non equilibrium states at initial time Left zone is fully liquid saturated at initial time 21 C.TR.AEAP.1000xx AGENCE NATIONALE POUR LA GESTION DES DÉCHETS RADIOACTIFS

Problem 3: two-phase flow with non equilibrium states at initial time Left zone is fully liquid saturated at initial time 22 C.TR.AEAP.1000xx AGENCE NATIONALE POUR LA GESTION DES DÉCHETS RADIOACTIFS

Problem 3: two-phase flow with non equilibrium states at initial time Left zone is fully liquid saturated at initial time 23 C.TR.AEAP.1000xx AGENCE NATIONALE POUR LA GESTION DES DÉCHETS RADIOACTIFS

Problem 4: two-phase flow with non equilibrium states at initial time Irregular spatial discretization: dxmax=2.25 cm, dxmin=0.02 cm Time discretization: dtmin=10 s, dtmax = 100 s Relative convergence criterion: 10-5 24 C.TR.AEAP.1000xx AGENCE NATIONALE POUR LA GESTION DES DÉCHETS RADIOACTIFS