Skip to main content
Top

2024 | OriginalPaper | Chapter

3. Coupled Geomechanics and Fluid Flow in Naturally Fractured Reservoirs

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Geomechanics and fluid flow in natural fractured reservoirs are so complex that simplified models must be used for their conceptual representation and simulation (Gong B (2007) Effective models of fractured systems. Ph.D. Thesis, Stanford University.). Flow in fractured rocks is simulated by a set of various models such as explicit fractured models (EFM), discrete fractured models (DFM), dual-permeability, dual-porosity, multipermeability and/or multiporosity models.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
go back to reference Ahrens J, Geveci B, Law C (2005). ParaView: an end-user tool for large data visualization. Visualization handbook. Elsevier. ISBN-13: 978-0123875822 Ahrens J, Geveci B, Law C (2005). ParaView: an end-user tool for large data visualization. Visualization handbook. Elsevier. ISBN-13: 978-0123875822
go back to reference Alnæs MS, Logg A, Ølgaard KB, Rognes ME, Wells GN (2014) Unified form language: a domain-specific language for weak formulations of partial differential equations. ACM Trans Math Softw 40(2):37. Article 9. https://doi.org/10.1145/2566630 Alnæs MS, Logg A, Ølgaard KB, Rognes ME, Wells GN (2014) Unified form language: a domain-specific language for weak formulations of partial differential equations. ACM Trans Math Softw 40(2):37. Article 9. https://​doi.​org/​10.​1145/​2566630
go back to reference Al-Shaalan TM, Fung LSK, Dogru AH (2003) A scalable massively parallel dual-porosity dual-permeability simulator for fractured reservoirs with super-K permeability. Paper presented at the SPE annual technical conference and exhibition held in Denver, Colorado, 5–8 Oct. https://doi.org/10.2118/84371-MS Al-Shaalan TM, Fung LSK, Dogru AH (2003) A scalable massively parallel dual-porosity dual-permeability simulator for fractured reservoirs with super-K permeability. Paper presented at the SPE annual technical conference and exhibition held in Denver, Colorado, 5–8 Oct. https://​doi.​org/​10.​2118/​84371-MS
go back to reference Ambartsumyan I, Khattatov E, Yotov I, Zunino P (2017) A Lagrange multiplier method for a Stokes-Biot fluid-poroelastic structure interaction model. MOX-Report No. 18/2017 Ambartsumyan I, Khattatov E, Yotov I, Zunino P (2017) A Lagrange multiplier method for a Stokes-Biot fluid-poroelastic structure interaction model. MOX-Report No. 18/2017
go back to reference Bangerth W, Hartmann R, Kanschat G (2007) Deal II—a general purpose object oriented finite element library. ACM Trans Math Softw 33(4):24-es Bangerth W, Hartmann R, Kanschat G (2007) Deal II—a general purpose object oriented finite element library. ACM Trans Math Softw 33(4):24-es
go back to reference Beavers G, Joseph D (1967) Boundary conditions at a naturally impermeable wall. J Fluid Mech 30:197–207CrossRef Beavers G, Joseph D (1967) Boundary conditions at a naturally impermeable wall. J Fluid Mech 30:197–207CrossRef
go back to reference Biot MA (1941) General theory of three-dimensional consolidation. J Appl Phys 12(2):155–164CrossRef Biot MA (1941) General theory of three-dimensional consolidation. J Appl Phys 12(2):155–164CrossRef
go back to reference Bui TD, Mamora DD, Lee WJ (2000) Transient pressure analysis for partially penetrating wells in naturally fractured reservoirs. Paper presented at the SPE rocky mountain regional/low permeability reservoirs symposium and exhibition held in Denver, Colorado, 12–15 Mar. https://doi.org/10.2118/60289-MS Bui TD, Mamora DD, Lee WJ (2000) Transient pressure analysis for partially penetrating wells in naturally fractured reservoirs. Paper presented at the SPE rocky mountain regional/low permeability reservoirs symposium and exhibition held in Denver, Colorado, 12–15 Mar. https://​doi.​org/​10.​2118/​60289-MS
go back to reference Camacho VR, Gómez S, Vásquez CM, Fuenleal MN, Castillo RT, Ramos G, Minutti MC, Mesejo A, Fuentes CG (2014) Well testing characterization of heavy-oil naturally fractured Vuggy reservoirs. Paper presented at the SPE heavy and extra heavy oil conference: Latin America, Medellín, Colombia, September 2014. https://doi.org/10.2118/171078-MS Camacho VR, Gómez S, Vásquez CM, Fuenleal MN, Castillo RT, Ramos G, Minutti MC, Mesejo A, Fuentes CG (2014) Well testing characterization of heavy-oil naturally fractured Vuggy reservoirs. Paper presented at the SPE heavy and extra heavy oil conference: Latin America, Medellín, Colombia, September 2014. https://​doi.​org/​10.​2118/​171078-MS
go back to reference Comsol-Multiphysics (2006) Earth science module, model library version 3.3, Chapter 2, Two-Phase Flow Comsol-Multiphysics (2006) Earth science module, model library version 3.3, Chapter 2, Two-Phase Flow
go back to reference Daversin-Catty C, Richardson CN, Ellingsrud AJ, Rognes M (2019) Abstractions and automated algorithms for mixed domain finite element methods. ArXiv abs/1911.01166 Daversin-Catty C, Richardson CN, Ellingsrud AJ, Rognes M (2019) Abstractions and automated algorithms for mixed domain finite element methods. ArXiv abs/1911.01166
go back to reference Farrell PE, Ham DA, Funke SW, Rognes ME (2013) Automated derivation of the adjoint of high-level transient finite element programs. SIAM J Sci Comput 35(4):C369–C393CrossRef Farrell PE, Ham DA, Funke SW, Rognes ME (2013) Automated derivation of the adjoint of high-level transient finite element programs. SIAM J Sci Comput 35(4):C369–C393CrossRef
go back to reference Gong B (2007) Effective models of fractured systems. Ph.D. Thesis, Stanford University. Gong B (2007) Effective models of fractured systems. Ph.D. Thesis, Stanford University.
go back to reference Goodman RE (1976) Methods of geological engineering in discontinuous rocks. West Pub. Co., St. Paul Goodman RE (1976) Methods of geological engineering in discontinuous rocks. West Pub. Co., St. Paul
go back to reference Herrera I, Pinder GF (2012) Mathematical modeling in science and engineering: an axiomatic approach. Wiley Herrera I, Pinder GF (2012) Mathematical modeling in science and engineering: an axiomatic approach. Wiley
go back to reference Jarvis NJ (1998) Modelling the impact of preferential flow on nonpoint source pollution. In: Physical nonequilibrium in soils: modeling and application. Ann Arbor Press, pp 195–221 Jarvis NJ (1998) Modelling the impact of preferential flow on nonpoint source pollution. In: Physical nonequilibrium in soils: modeling and application. Ann Arbor Press, pp 195–221
go back to reference Lamb AR, Gorman GJ, Gosselin OR, Onaisi A (2010) Coupled deformation and fluid flow in fractured porous media using dual permeability and explicitly defined fracture geometry. SPE EUROPEC/EAGE Annual conference and exhibition. SPE 131725-MS: Society of Petroleum Engineers, Barcelona, Spain. https://doi.org/10.2118/131725-MS Lamb AR, Gorman GJ, Gosselin OR, Onaisi A (2010) Coupled deformation and fluid flow in fractured porous media using dual permeability and explicitly defined fracture geometry. SPE EUROPEC/EAGE Annual conference and exhibition. SPE 131725-MS: Society of Petroleum Engineers, Barcelona, Spain. https://​doi.​org/​10.​2118/​131725-MS
go back to reference Lamb AR (2011) Coupled deformation, fluid flow and fracture propagation in porous media. Ph.D. thesis, Department of Earth Sciences and Engineering, Imperial College London Lamb AR (2011) Coupled deformation, fluid flow and fracture propagation in porous media. Ph.D. thesis, Department of Earth Sciences and Engineering, Imperial College London
go back to reference Levonyan K (2011) Simulation of coupled single-phase flow and geomechanics in fractured porous media. Master’s Thesis, Department of Petroleum Engineering, Stanford University Levonyan K (2011) Simulation of coupled single-phase flow and geomechanics in fractured porous media. Master’s Thesis, Department of Petroleum Engineering, Stanford University
go back to reference Lee J, Wattenbarger RA (1996) Gas reservoir engineering, SPE Textbook Series 5 Lee J, Wattenbarger RA (1996) Gas reservoir engineering, SPE Textbook Series 5
go back to reference Logg A, Ølgaard KB, Rognes ME, Wells GN (2012) FFC: the FEniCS form compiler. In: Logg A, Mardal KA, Wells G (eds) Automated solution of differential equations by the finite element method. Lecture notes in computational science and engineering, vol 84, pp 227–238. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23099-8_11 Logg A, Ølgaard KB, Rognes ME, Wells GN (2012) FFC: the FEniCS form compiler. In: Logg A, Mardal KA, Wells G (eds) Automated solution of differential equations by the finite element method. Lecture notes in computational science and engineering, vol 84, pp 227–238. Springer, Berlin, Heidelberg. https://​doi.​org/​10.​1007/​978-3-642-23099-8_​11
go back to reference Logg A, Wells GN, Hake J (2012) DOLFIN: a C++/Python finite element library. In: Logg A, Mardal KA, Wells G (eds) Automated solution of differential equations by the finite element method. Lecture notes in computational science and engineering, vol 84. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23099-8_10 Logg A, Wells GN, Hake J (2012) DOLFIN: a C++/Python finite element library. In: Logg A, Mardal KA, Wells G (eds) Automated solution of differential equations by the finite element method. Lecture notes in computational science and engineering, vol 84. Springer, Berlin, Heidelberg. https://​doi.​org/​10.​1007/​978-3-642-23099-8_​10
go back to reference Moinfar A, Narr W, Hui M-H, Mallison BT, Lee SH (2011) Comparison of discrete-fracture and dual-permeability models for multiphase flow in naturally fractured reservoirs. SPE reservoir simulation symposium. https://doi.org/10.2118/142295-ms Moinfar A, Narr W, Hui M-H, Mallison BT, Lee SH (2011) Comparison of discrete-fracture and dual-permeability models for multiphase flow in naturally fractured reservoirs. SPE reservoir simulation symposium. https://​doi.​org/​10.​2118/​142295-ms
go back to reference Pruess K, Wang JSY (1987) Numerical modeling of isothermal and non-isothermal flow in unsaturated fractured rock—a review. Geophys Monogr Ser 42(2):11–22 Pruess K, Wang JSY (1987) Numerical modeling of isothermal and non-isothermal flow in unsaturated fractured rock—a review. Geophys Monogr Ser 42(2):11–22
go back to reference Rathgeber F, Ham DA, Mitchell L, Lange M, Luporini F, Mcrae ATT, Bercea GT, Markall GR, Kelly PHJ (2016) Firedrake: automating the finite element method by composing abstractions. ACM Trans Math Softw 43(3). https://doi.org/10.1145/2998441 Rathgeber F, Ham DA, Mitchell L, Lange M, Luporini F, Mcrae ATT, Bercea GT, Markall GR, Kelly PHJ (2016) Firedrake: automating the finite element method by composing abstractions. ACM Trans Math Softw 43(3). https://​doi.​org/​10.​1145/​2998441
go back to reference Saffman P (1971) On the boundary condition at the surface of a porous media. Stud Appl Math 50:93–101CrossRef Saffman P (1971) On the boundary condition at the surface of a porous media. Stud Appl Math 50:93–101CrossRef
go back to reference Suarez-Arriaga MC, Samaniego-Verduzco F, Bundschuh J (2007) Geothermal water in oil reservoirs: a new 2D model solved with FemLab. COMSOL conference, October 4–6, Newton, Massachusets, USA Suarez-Arriaga MC, Samaniego-Verduzco F, Bundschuh J (2007) Geothermal water in oil reservoirs: a new 2D model solved with FemLab. COMSOL conference, October 4–6, Newton, Massachusets, USA
go back to reference Terzaghi K (1923) Die Berechnung der Durchl¨assigkeitsziffer des Tones aus dem Verlauf der hydrodynamische Spannungserscheinungen, Sitzber. Akad. Wiss. Wien, Abt. IIa 132:125–138 Terzaghi K (1923) Die Berechnung der Durchl¨assigkeitsziffer des Tones aus dem Verlauf der hydrodynamische Spannungserscheinungen, Sitzber. Akad. Wiss. Wien, Abt. IIa 132:125–138
go back to reference Terzaghi K (1925) Erdbaumechanik auf bodenphysikalischer Grundlage. Deuticke, Wien Terzaghi K (1925) Erdbaumechanik auf bodenphysikalischer Grundlage. Deuticke, Wien
go back to reference Uba MH, Chiffoleau Y, Pham TR, Divry VE, Al-Kaabi AU, Jamil T (2007) Application of a hybrid dual porosity dual permeability representation of large scale fractures to the simulation of a giant carbonate reservoir. Paper presented at the SPE Middle East oil and gas show and conference, Manama, Bahrain, March 2007. https://doi.org/10.2118/105560-MS Uba MH, Chiffoleau Y, Pham TR, Divry VE, Al-Kaabi AU, Jamil T (2007) Application of a hybrid dual porosity dual permeability representation of large scale fractures to the simulation of a giant carbonate reservoir. Paper presented at the SPE Middle East oil and gas show and conference, Manama, Bahrain, March 2007. https://​doi.​org/​10.​2118/​105560-MS
Metadata
Title
Coupled Geomechanics and Fluid Flow in Naturally Fractured Reservoirs
Author
Juan Pedro Morales Salazar
Copyright Year
2024
DOI
https://doi.org/10.1007/978-3-031-56525-0_3