Skip to main content

Abstract

This paper discusses the inversion of pressure data collected during hydraulic fracturing operations to yield parameters characteristic of the rock being fractured, its stress state and the geometry of the fracture using a simple approximate fracturing model, the Perkins-Kern-Nordgren (PKN) model. In particular the suitability of the constant pumping rate / shut-in schedule is considered. This example gives a flavour of the mathematical difficulties arising in numerical modelling of hydraulic fracturing and in the processing of fracturing test data. The results might be helpful for development of advanced interpretation techniques required for hydraulic fracturing design and evaluation.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. K. Bhala and B.H. Brady. Formation and fracture characterization by inversion of fracture treatment records (Paper SPE 26526). In 68th Annual Technical Conference and Exhibition, Houston, Texas, 3–6 October, 1993.

    Google Scholar 

  2. Ph. Charlez, R. Herail, and D. Despax. Interpretation of hydraulic fracture parametrs by inversion of pressure curves. Int. J. Rock Mech. Min. Sci. & Geomech. Abstr., 26:549–553, 1989.

    Article  Google Scholar 

  3. A.R. Crockett, R.M. Willis Jr., and M.P. Cleary. Improvement of hydraulic fracture predictions by real-time history matching on observed pressures. SPE Production Engineering, pages 408–416, November 1989.

    Google Scholar 

  4. M.J. Economides and K.G. Nolte, editors. Reservoir Stimulation. Schlumberger Educational Services, Houston, Texas, 2nd edition, 1989.

    Google Scholar 

  5. SCR Geomechanucs Group. The crack tip region in hydraulic fracturing. Proc. Roy. Soc. A, 447:39–48, 1994.

    Article  Google Scholar 

  6. S.N. Gulrajani, M.G. Mack, and J. Elbel. Pressure history inversion for interpretation of fracture treatments (SPE 36439). In 1996 SPE Annual Technical Conference and Exhibition, Denver, Colorado, 6–9 October, 1996.

    Google Scholar 

  7. K.G. Nolte. Determination of fracture parameteres from fracturing pressure decline (Paper SPE 8341). 1979.

    Google Scholar 

  8. K.G. Nolte. Fracture design consideration based on pressure analysis (Paper SPE 10911). 1982.

    Google Scholar 

  9. K.G. Nolte, M.G. Mack, and W.L. Lie. A systematic method for applying fracturing pressure decline: Part 1 (Paper SPE 25845). In SPE Rocky Mountain Regional / Low Permeability Reservoirs Symposium, Denver, CO, 12–14 April, 1993.

    Google Scholar 

  10. K.G. Nolte and M.B. Smith. Interpretation of fracturing pressures. J. of Petroleum Technology, 33:1767–1775, 1981.

    Google Scholar 

  11. R.P. Nordgren. Propagation of a vertical hydraulic fracture. SPE Journal, 12:306–314, 1972.

    Google Scholar 

  12. T.K. Perkins and L.R. Kern. Width of hydraulic fractures. J. of Petroleum Technology, 13:937–949, 1961.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer Science+Business Media Dordrecht

About this paper

Cite this paper

Alekseenko, O.P., Vaisman, A.M., Zazovsky, A.F. (1999). Inverse Problems in Hydraulic Fracturing. In: Durban, D., Pearson, J.R.A. (eds) IUTAM Symposium on Non-linear Singularities in Deformation and Flow. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4736-1_5

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-4736-1_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5991-6

  • Online ISBN: 978-94-011-4736-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics