TOUGH4 User Manual
  • Quick Entry to Keywords for Data Input
  • 1️⃣INTRODUCTION
    • About TOUGH
    • TOUGH Development History
    • TOUGH4 Implementation
    • Scope and Methodology
  • 2️⃣WHAT IS NEW IN TOUGH4
  • 3️⃣CODE COMPILATION AND INSTALLATION
    • Setup for Compilation
    • Code Compilation
      • 1. Compilation of TOUGH4 using Visual Studio
      • 2. Compilation of TOUGH4 on Linux-like platform
    • Installation
    • Running the Executable for Simulations
  • 4️⃣GOVERNING EQUATIONS
    • Mass-Balance Equation
    • Accumulation Terms
    • Flux Terms
    • Sink and Source Terms
    • Virtual Node Well Treatment
    • Semi-Analytical Conductive Heat Exchange
    • Drift Model
    • Non-Darcy Flow
  • 5️⃣NUMERICAL METHOD
    • Space and Time Discretization
    • Interface Weighting Schemes
    • Initial and Boundary Conditions
      • Initial Conditions and Restarting
      • Neumann Boundary Conditions
      • Dirichlet Boundary Conditions
      • Atmospheric Boundary Conditions
      • Constant Temperature Boundary Conditions
    • Parallel computing schemes
    • Linear Solvers
    • Python Functions
      • Relative Permeability
      • Capillary Pressure
      • Initial Condition Calculation
      • Fetching Output Data
      • Fetching Thermophysical Property Data From NIST Webbook
      • Coupling With Third-Party Software
  • 6️⃣SOFTWARE ARCHITECTURE
    • Program Design
    • Data Structure
    • Linear Equation Setup
  • 7️⃣PROCESS MODELING
    • EOS1
    • EOS2
    • EOS3
    • EOS4
    • EOS6
    • EOS7
    • EOS9
    • ECO2
    • EWASG
    • TMVOC
    • Tracers/Decay Chain
    • Biodegradation Reaction
    • Wellbore Flow
    • Non-Darcy Flow
    • Enhanced Coal Bed Methane
  • 8️⃣PREPARATION OF MODEL INPUT
    • Input Formatting
    • Keywords and Input Data
      • TITLE
      • BIODG
      • CBMDA
      • CHEMP
      • COFT
      • CONNE
      • COUPL
      • DIFFU
      • ELEME
      • ENDCY
      • ENDFI
      • FLAC
      • FNIST
      • FOFT
      • FORCH
      • GASES
      • GENER
      • GOFT
      • HYSTE
      • INCON
      • INDOM
      • MESHM
      • MODDE
      • MOMOP
      • MULTI
      • OUTPU
      • PARAM
      • ROCKS
      • ROFT
      • RPCAP
      • SELEC
      • SOLVR
      • SPAVA
      • TIMBC
      • TIMES
      • TRACR
      • WELLB
    • Inputs for Initial Conditions
      • EOS1
      • EOS2
      • EOS3
      • EOS4
      • EOS6
      • EOS7
      • EOS9
      • ECO2
      • EWASG
      • TMVOC
    • Geometry Data
      • General Concepts
      • MESHMaker
      • Multiple-continuum processing
    • Inputs for MESHMaker
      • Generation of radially symmetric grids
        • RADII
        • EQUID
        • LOGAR
        • LAYER
      • Generation of rectilinear grids
      • MINC processing for fractured media
    • Adjustment of Computing Parameters at Run-time
  • 9️⃣OUTPUTS
  • 🔟VALIDATION AND APPLICATION EXAMPLES
    • EOS1
      • Problem 1 - Code Demonstration
      • Problem 2 - Heat Sweep in a Vertical Fracture (rvf)
      • Problem 3 - Five-spot Geothermal Production/Injection (rfp)
      • Problem 4 - Coupled Wellbore Flow (r1q)
      • Problem 5 - Five-Spot Geothermal Production/Injection under extremely high temperature
    • EOS2
      • Problem 1 -Five-spot Geothermal Production/Injection (rfp)
    • EOS3
      • Problem 1 - Code Demonstration (eos3p1)
      • Problem 2 - 1D TH Problem with Heating and Gas Source (by Guanlong Guo)
      • Problem 3 - Heat Pipe in Cylindrical Geometry (rhp)
      • Problem 4 - 3D Thermal Consolidation Test, Coupling with FLAC3D Simulator (by Guanlong Guo)
    • EOS4
      • Problem 1 - Code Demonstration (eos4p1)
      • Problem 2 - Heat Pipe in Cylindrical Geometry (rhp)
    • EOS6
      • Problem 1-Validation with EOS2
      • Problem 2-Noble Gas Transport
    • EOS7
      • Problem 1-Multiphase and Nonisothermal Processes in a System with Variable Salinity (rf1)
      • Problem 2-Thermal and Tracer Diffusion (EOS7R/rdif7)
      • Problem 3-Contamination of an Aquifer from VOC Vapors in the Vadose Zone (EOS7R/rdica)
      • Problem 4-Density, Viscosity, Solubility, and Enthalpy of Real Gas Mixtures (EOS7C/SAM7C1)
      • Problem 5-CO2 Injection into a Depleted Gas Reservoir (EOS7C2/SAM7C2)
      • Problem 6- CO2 Injection into a Saturated System (EOS7C/SAM7C3)
      • Problem 7-Density, Viscosity, and Enthalpy of Real Gas Mixtures (EOS7CA/SAM7CA1)
      • Problem 8-CO2 Injection into a Shallow Vadose Zone (EOS7CA/SAM7CA2)
      • Problem 9-Non-Isothermal Compressed Air Energy Storage in Reservoir (by Julien Mouli-Castillo)
    • EOS9
      • Page 1
    • ECO2
      • Problem 1-Demonstration of Initialization Options (ECO2N/rtab)
      • Problem 2-Radial Flow from a CO2 Injection Well (ECO2N/rcc3)
      • Problem 3-CO2 Discharge Along a Fault Zone (ECO2N/r1dv)
      • Problem 4-CO2 Injection into a 2-D Layered Brine Formation (ECO2N/rtp7)
      • Problem 5-Upflow of CO2 along a Deep Fault Zone (ECO2M/r1d)
      • Problem 6-Migration of a CO2 Plume in a Sloping Aquifer, Intersected by a Fault (ECO2M/rwaf)
      • Problem 7-GCS/GHE with a double-porosity reservoir (Case6_50kg_DP/ECO2NV2)
    • EWASG
      • Problem 1 - Brine Density Calculation (dnh)
      • Problem 2 - Production from a Geothermal Reservoir with Hypersaline Brine and CO2 (rhbc)
    • TMVOC
      • Problem 1-Initialization of Different Phase Conditions (r7c)
      • Problem 2-1-D Buckley-Leverett Flow (rblm)
      • Problem 3-Diffusion of components (rdif2)
      • Problem 4-Steam Displacement of a NAPL in a Laboratory Column (rtcem)
      • Problem 5-Steam Displacement of a Benzene-Toluene Mixture in a Laboratory Column (rbt)
      • Problem 6 -Air Displacement of a NAPL from a Laboratory Column (rad)
      • Problem 7-NAPL Spill in the Unsaturated Zone (r2dl)
    • T4.Well
      • Problem 1-Steady-state two-phase flow upward
      • Problem 2-Non-isothermal CO2 flow through a wellbore initially full of water
  • CONCLUSION REMARKS
  • REFERENCES
  • ACKNOWLEDGEMENT
  • Appendix
    • ☑️A: RELATIVE PERMEABILITY FUNCTIONS
      • IRP=1 Linear function
      • IRP=2 Power function
      • IRP=3 Corey's curves
      • IRP=4 Grant's curve
      • IRP=5 Perfectly mobile
      • IRP=6 Fatt and Klikoff function
      • IRP=7 van Genuchten-Mualem Model
      • IRP=8 Verma function
      • IRP=10 Modified Brooks-Corey Model
      • IRP=11 Modified van Genuchten Model
      • IRP=12 Regular hysteresis
      • IRP=13 Simple hysteresis
      • IRP=31 Three phase perfectly mobile
      • IRP=32 Modified Stone's first 3-phase method
      • IRP=33 Three-phase Parker's function
      • IRP=34 Alternative Stone 3-phase
      • IRP=35 Power-law function
      • IRP=36 Faust for two-phase Buckley-Leverett problem
      • IRP=37 Another alternative to Stone function
      • IRP=40 Table lookup
      • IRP=41 User-Defined relative permeability function
    • ☑️B: CAPILLARY PRESSURE FUNCTIONS
      • ICP=1 Linear function
      • ICP=2 Function of Pickens
      • ICP=3 TRUST capillary pressure
      • ICP=4 Milly’s function
      • ICP=6 Leverett’s function
      • ICP=7 van Genuchten function
      • ICP=8 No capillary pressure
      • ICP=10 Modified Brooks-Corey Model
      • ICP=11 Modified van Genuchten Model
      • ICP=12 Regular hysteresis
      • ICP=13 Simple hysteresis
      • ICP=31 Parker et al 3-phase function
      • ICP=32 Parker 3-phase function, alternative 1
      • ICP=33 Parker 3-phase function, alternative 2
      • ICP=34 Parker 3-phase function, alternative 3
      • ICP=40 Table lookup
      • ICP=41 User-Defined capillary pressure function
    • ☑️C: ADDITIONAL PROGRAM OPTIONS
    • ☑️D: DESCRIPTION OF FRACTURED FLOW
      • Multiple Continuum Approaches
      • Active Fracture Modle
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  1. PROCESS MODELING

EOS2

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  1. Description

This fluid property module originally was developed by O'Sullivan et al. (1985) for describing fluids in gas-rich geothermal reservoirs, which may contain CO2 mass fractions ranging from a few percent to occasionally 80% or more (Atkinson et al., 1980). EOS2 accounts for non-ideal behavior of gaseous CO2, and dissolution of CO2 in the aqueous phase with heat of solution effects. According to Henry's law, the partial pressure of a non-condensible gas (NCG) in the gas phase is proportional to the mole fraction xaqNCGx^{NCG}_{aq}xaqNCG​ of dissolved NCG in the aqueous phase,

PNCG=KhxaqNCGP_{NCG}=K_hx^{NCG}_{aq}PNCG​=Kh​xaqNCG​ (7-1)

The Henry’s law coefficient KhK_hKh​ for dissolution of CO2 in water is strongly dependent on temperature. The correlation used in the previous release of EOS2 had been developed by O’Sullivan et al. (1985) for the elevated temperature conditions encountered in geothermal reservoirs. It is accurate to within a few percent of experimental data in the temperature range of 40 ˚C ≤ T ≤ 330 ˚C, but becomes rather inaccurate at lower temperatures and even goes to negative values for T < 30 ˚C (see Figure 15). Since TOUGH3, the Henry’s law coefficient calculation was updated with the correlation developed by Battistelli et al. (1997), which is accurate for 0 ˚C ≤ T ≤ 350 ˚C. The Battistelli et al. formulation agrees well with another correlation that was developed by S. White (1996, private communication).

The viscosity of vapor - CO2 mixtures is described with a formulation due to Pritchett et al. (1981); other thermophysical property correlations are based on the model of Sutton and McNabb (1977).

  1. Specifications

A summary of EOS2 specifications is given in Table 6. A more detailed description and application to geothermal reservoir problems are given in the paper by O'Sullivan et al. (1985). The default component number is 2 (water and CO2). Users have the options to include as many as 5 tracers with a maximum component number of 7.

Table 6 Summary for EOS2

Specification
Parameters

Components

(1) Water

(2) CO2

(3-7) Tracer1-Tracer5 (optional)

Phase condition and its state name and index

(1) Gas, GAS

(2) Aqueous, AQU

(3) two-phase, AQG

Primary variables

Optional process modeling

Molecular diffusion, Wellbore simulation, Biodegradation reactions, and non-isothermal simulation.

See

7️⃣
Table 20
Figure 15. Henry’s law coefficients for dissolution of CO2 in water.