EoS-Based Thermal Reservoir Simulation

  • Duncan PatersonEmail author
Part of the Springer Theses book series (Springer Theses)


The final aim of this work is to develop an EoS-based, fully implicit, thermal reservoir simulator by upgrading an existing isothermal compositional simulator. Thermal reservoir simulation has been an area of interest for a long time, with early attempts at simulators from Shutler (1969) in one dimension and extended to two dimensions by Shutler (1970). Coats (1976, 1978) proposed a model coupling thermal and compositional simulation for fully implicit three-dimensional reservoir simulation for the purpose of steam injection. Often, the aqueous phase is treated in a simplified manner, with gas components excluded, or included using simple K-factor correlations (Cicek and Ertekin 1996).


  1. Anand J, Somerton WH, Gomaa E (1973) Predicting thermal conductivities of formations from other known properties. Soc Pet Eng J 13(05):267–273., ISSN: 0197-7520CrossRefGoogle Scholar
  2. Brantferger KM, Pope GA, Sepehrnoori K (1991) Development of a thermodynamically consistent, fully implicit, equation-of-state, compositional steamflood simulator. In: SPE symposium on reservoir simulation. Society of petroleum engineers., ISBN: 978-1-55563-535-0
  3. Cicek O, Ertekin T (1996) Development and testing of a new 3-D field scale fully implicit multi-phase compositional steam injection simulator. In: European 3-D reservoir modelling conference. Society of petroleum engineers., ISBN: 978-1-55563-432-2
  4. Coats KH (1976) Simulation of steamflooding with distillation and solution gas. Soc Pet Eng J 16(05):235–247., ISSN: 0197-7520CrossRefGoogle Scholar
  5. Coats KH (1978) A highly implicit steamflood model. Soc Pet Eng J 18(05):369–383., ISSN: 0197-7520CrossRefGoogle Scholar
  6. Freund RW (1993) A transpose-free quasi-minimal residual algorithm for non-Hermitian linear systems. SIAM J Sci Comput 14(2):470–482., ISSN: 1064-8275CrossRefGoogle Scholar
  7. Huron MJ, Vidal J (1979) New mixing rules in simple equations of state for representing vapour-liquid equilibria of strongly non-ideal mixturesGoogle Scholar
  8. Lohrenz J, Bray B, Clark C (1964) Calculating viscosities of reservoir fluids from their compositions. J Pet Technol 16(10):1171–1176., ISSN: 0149-2136CrossRefGoogle Scholar
  9. Martin P (2014) EOS based simulations of thermal and compositional flow in porous media. PhD thesis. University of Pau and Pays de l’Adour (UPPA)Google Scholar
  10. Michelsen ML (1982) The isothermal flash problem. Part I. Stability. Fluid Ph Equilib 9(1):1–19., ISSN: 03783812CrossRefGoogle Scholar
  11. Mohebbinia S et al (2014) Simulation of asphaltene precipitation during gas injection using PC-SAFT EOS. In: SPE annual technical conference and exhibition. Society of petroleum engineers., ISBN: 978-1-61399-318-7
  12. Moortgat J, Li Z, Firoozabadi A (2011) Three-phase compositional modeling of CO2 injection by higher-order finite element methods with CPA equation of state. In: SPE reservoir simulation symposium. Society of petroleum engineers., ISBN: 978-1-55563-324-0
  13. Peng DY, Robinson DB (1976) A new two-constant equation of state. Ind Eng Chem Fundam 15(1):59–64. Scholar
  14. Rasmussen CP et al (2006) Increasing the computational speed of flash calculations with applications for compositional, transient simulations. SPE Reserv Eval Eng 9(01):32–38., ISSN: 1094-6470CrossRefGoogle Scholar
  15. Sheng K, Okuno R, Wang M (2017) Water-soluble solvent as an additive to steam for improved SAGD. In: SPE Canada heavy oil technical conference. Society of petroleum engineers., ISBN: 978-1-61399-517-4
  16. Shutler ND (1969) Numerical, three-phase simulation of the linear steamflood process. Soc Pet Eng J 9(02):232–246., ISSN: 0197-7520CrossRefGoogle Scholar
  17. Shutler ND (1970) Numerical three-phase model of the two-dimensional steamflood process. Soc Pet Eng J 10(04):405–417., ISSN: 0197-7520CrossRefGoogle Scholar
  18. Vinsome PKW (1976) Orthomin, an iterative method for solving sparse sets of simultaneous linear equations. In: SPE symposium on numerical simulation of reservoir performance. Society of petroleum engineers., ISBN: 978-1-55563-751-4
  19. Vinsome PKW, Westerveld JD (1980) A simple method for predicting cap and base rock heat losses in thermal reservoir simulators. J Can Pet Technol 19(3):87–90., ISSN: 00219487

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of ChemistryTechnical University of DenmarkKongens LyngbyDenmark

Personalised recommendations