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
  • 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
  • 8️⃣PREPARATION OF MODEL INPUT
    • Input Formatting
    • Keywords and Input Data
      • TITLE
      • BIODG
      • CBMDA
      • CHEMP
      • COFT
      • CONNE
      • COUPL
      • DIFFU
      • ELEME
      • ENDCY
      • ENDFI
      • FLAC
      • 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
Powered by GitBook
On this page
  1. Appendix
  2. B: CAPILLARY PRESSURE FUNCTIONS

ICP=4 Milly’s function

PcapP_{cap}Pcap​ = -97.783 x 10A10^A10A

with

A=2.26(0.371Sl  −  Slr  −  1)14A\quad=\quad2.26\left(\frac{0.371}{S_l\;-\; S_{lr}}\;-\;1\right)^\frac{1}{4}A=2.26(Sl​−Slr​0.371​−1)41​

where SlrS_{lr}Slr​ = CP(1)

Restriction: CP(1) ≥ 0.

PreviousICP=3 TRUST capillary pressureNextICP=6 Leverett’s function
☑️