Skip to main content

Crucial effect of system compliance on the maximum stress estimation in the hydrofracturing method: Theoretical considerations and field-test verification

Abstract

Why do the currently available data sets from field hydrofracturing tests indicate that the measured re-opening pressure lies close to the shut-in pressure far more often than can reasonably be expected? In order to explain such a strange phenomenon, it is necessary to take into consideration two additional factors, those of (1) a residual aperture of fracture and (2) hydraulic compliance of the test equipment, both of which are ignored in the conventional theory of hydraulic fracturing. The residual aperture causes pressure penetration into the fracture prior to opening, and its effect is to reduce the re-opening pressure by a factor of two from the value expected when the conventional theory is used. The conventional theory implies that the fracture always begins to open at a borehole pressure less than the shut-in pressure. However, due to the effect of large hydraulic compliance, the reopening pressure measured in the conventional manner becomes larger than the true reopening pressure and approaches the shut-in pressure. Contrary to this, the reopening pressure measured using the test equipment with sufficiently small compliance represents a good estimate of the true reopening pressure. This pressure is related to the maximum horizontal stress SH, and its measured value allows us to estimate the value of SH.

References

  • Cheung, L. S. and B. C. Haimson, Laboratory study of hydraulic fracturing pressure data—How valid is their conventional interpretation?, Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 26, 595–604, 1989.

    Article  Google Scholar 

  • Cornet, F. H., Analysis of injection tests for in-situ stress determination, Proc. Workshop Hydraulic fracturing Stress Measurement, Menlo Park, 414–443, 1982.

    Google Scholar 

  • Durham, W. B. and B. P. Bonner, Self-propping and fluid flow in slightly offset joints at high effective pressures, J. Geophys. Res., 99, 9391–9399, 1994.

    Article  Google Scholar 

  • Evans, K. F., T. Engelder, and R. A. Plumb, Appalachian stress study 1. A detailed description of in-situ stress variations in Devonian shales of the Appalachian Plateau, J. Geophys. Res., 94, 7129–7154, 1989.

    Article  Google Scholar 

  • Ito, T. and K. Hayashi, Relation between reopening pressure and tectonic stresses for hydraulic fracturing tectonic stress measurements, Proc. 8th Int. Cong. Computer Methods and Advances in Geomech., Morgan-town, 1591–1596, 1994.

    Google Scholar 

  • Ito, T., K. Evans, K. Kawai, and K. Hayashi, Hydraulic fracture reopening pressure and the estimation of maximum horizontal stress, Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 36, 811–826, 1999.

    Article  Google Scholar 

  • Lee, M. Y. and B. C. Haimson, Statistical evaluation of hydraulic fracturing stress measurement parameters, Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 26, 447–456, 1989.

    Article  Google Scholar 

  • Rutqvist, J., C.-F. Tsang, and O. Stephansson, Uncertainty in the maximum principal stress estimated from hydraulic fracturing measurements due to the presence of the induced fracture, Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 37, 107–129, 2000.

    Article  Google Scholar 

  • Zoback, M. D., F. Rummel, R. Jung, and C. B. Raleigh, Laboratory hydraulic fracturing experiments in intact and pre-fractured rock, Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 14, 49–58, 1977.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Takatoshi Ito.

Rights and permissions

Open Access  This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.

The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.

To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/.

Reprints and permissions

About this article

Cite this article

Ito, T., Igarashi, A., Kato, H. et al. Crucial effect of system compliance on the maximum stress estimation in the hydrofracturing method: Theoretical considerations and field-test verification. Earth Planet Sp 58, 963–971 (2006). https://doi.org/10.1186/BF03352601

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1186/BF03352601

Key words