Skip to main content
SpringerLink
Log in

Analytical Model for Stress Sensitive Naturally Fractured Carbonate Reservoirs (NFCRs)

  • Chapter
  • First Online:
Geomechanics, Fluid Dynamics and Well Testing, Applied to Naturally Fractured Carbonate Reservoirs

Part of the book series: Springer Theses ((Springer Theses))

  • 554 Accesses

Abstract

The goal of this chapter is to develop and to study an analytical and mathematical model for Naturally Fractured Reservoir when there is stress-sensitive in formation. The model is solved analytically to be used and proved with well testing. Solutions obtained with this model will describe the pressure behavior with respect at time considering the change of permeability, porosity and fluid density.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 129.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    Personal communications with Lucia, J. Doe. 2013. Texas: Bureau of Economic Geology. The University of Texas at Austin.

References

  • Aguilera, R. (1995). Naturally fractured reservoirs (2nd ed.). Tulsa, OK: Penn Well Books.

    Google Scholar 

  • Ames, W. F. (1972). Nonlinear partical differential equations in engineering (Vol. II). New York: Academic Press.

    Google Scholar 

  • Barenblatt, G. I., Zheltov, Iu. P., & Kochina, I. N. (1960). Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks (OB OSNOVNYKH PBEDSTAVLENIIAKH TEORII FIL’TRATSII ODNORODNYKH ZHIDKOSTEI V TRESHCHINOVATYKH PORODAKH) (G.H. PMM, Trans.) (Vol. 24(5), 852–864).

    Google Scholar 

  • Burger, J. M. (1974). The nonlinear diffusion equation, asymtotic solutions and statistical problems (2nd ed.). Dordrecht, Holland: D. Reidel Publishing Company.

    Book  Google Scholar 

  • Celis, V., Silva, R., Ramones, M. et al. (1994). A New Model for Pressure Transient Analysis in Stress Sensitive Naturally Fractured Reservoir.

    Google Scholar 

  • Cinco-Ley, H. (1996, January). Well-test analysis for naturally fractured reservoirs. Journal of Petroleum Technology, 51–54. SPE 31162.

    Article  Google Scholar 

  • Craft, E. C., & Hawkins, M. (1991). Applied petroleum reservoir engineering. NJ: Prentice Hall.

    Google Scholar 

  • Currie, I. G. (2003). Fundamental mechanics of fluids (2nd ed.). New York: McGraw-Hill Book Company.

    Google Scholar 

  • Enrenberg, S. N., Nadeau, P. H., & Steen, O. (2009). Petroleum reservoir porosity versus depth: Influence of geological age. AAPG Bulletin, 93(10), 1281–2196.

    Article  Google Scholar 

  • Jelmert, T. A., & Vik, S. A. (1996). Analytic solution to the non-linear diffusion equation for fluids of constant compressibility. Petroleum Science & Engineering, 14, 231–233. http://dx.doi.org/0920-4105/96.

    Article  Google Scholar 

  • Lee, J., Rollins, J. B., & Spivey, J. P. (2003). Pressure transient testing in wells (Vol. 9, pp. 1–9). Richardson, TX: Monograph Series, SPE.

    Google Scholar 

  • Marshall, S. L. (2009). Nonlinear pressure diffusion in flow of compressible liquids through porous media. Transport in Porous Media, 77, 431–446. https://doi.org/10.1007/s11242-008-9275-z.

    Article  Google Scholar 

  • Matthews, C. S., & Russell, D. G. (1967). Pressure buildup and flow tests in wells (Vol. 1, pp. 4–9). Richardson, TX: Monograph Series, SPE.

    Google Scholar 

  • Muskat, M. (1945). Flow of homogeneous fluids through porous media (2nd ed., p. 145). Ann Arbor, MI: J.W. Edwards.

    Google Scholar 

  • Nelson, R. (2001). Geologic analysis of naturally fractured reservoirs (2nd ed.). New York: Gulf Professional Publishing, BP-Amoco.

    Google Scholar 

  • Odeh, A. S., & Babu, D. K. (1988). Comparasion of solutions of the nonliear and linearized diffusion equations (pp. 1202–1206). SPE Reservoir Engineering, SPE 17270.

    Article  Google Scholar 

  • Pedrosa, O. A., Jr. (1986). Pressure Transient Response in Stress-Sensitive Formations, paper SPE 15115, presented at the SPE Regional Meeting, Oakland, April 2–4.

    Google Scholar 

  • Samaniego, F. V., Brigham, W. E., & Miller, F. G. (1979, June). Performance-prediction procedure for transient flow of fluids through pressure-sensitive formations. Journal of Petroleum Technology, 779–786.

    Google Scholar 

  • Tong, D.-K., & Wang, R.-H. (2005). Exact solution of pressure transient model or fluid flow in fractal reservoir including a quadratic gradient term. Energy Sources, 27, 1205–1215.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Postgraduate Studies, Mexican Petroleum Institute (IMP) and National Autonomous University of Mexico, UNAM, Mexico City, Mexico

    Nelson Enrique Barros Galvis

Authors
  1. Nelson Enrique Barros Galvis
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Nelson Enrique Barros Galvis .

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG, part of Springer Nature

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Barros Galvis, N.E. (2018). Analytical Model for Stress Sensitive Naturally Fractured Carbonate Reservoirs (NFCRs). In: Geomechanics, Fluid Dynamics and Well Testing, Applied to Naturally Fractured Carbonate Reservoirs. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-77501-2_5

Download citation

Publish with us

Policies and ethics

Search

Navigation