On reliability of stress determined by hydraulic fracturing stress measurement using transverse fractures

Kazuo Hayashi, Akira Sato, Takatoshi Ito

Research output: Contribution to journalConference articlepeer-review


Hydraulic fracturing stress measurement using a set of transverse fractures is a powerful tool for estimating stress at a great depth. Qualitatively speaking, reliability of evaluated stress improves when orientation of fractures in the set differs significantly from each other. In order to express the circumstance quantitatively, we introduce so-called condition number defined for linear algebraic equations to measure the proximity of a problem to ill-condition. In the present case, condition number is determined completely by the orientation of fractures used to evaluate stress. We employ thirty sets of artificial data of the orientation of fractures, instead of field data. Each set consists of ten fractures, the orientation of which is generated by random sampling. By using these artificial data, we examine the reliability and the condition number for two artificial stress states. It is revealed that the reliability and the condition number have strong correlation to each other and thus the condition number is very helpful for measuring reliability of evaluated stress.

Original languageEnglish
Pages (from-to)285-289
Number of pages5
JournalTransactions - Geothermal Resources Council
Publication statusPublished - 2007 Dec 1
EventGeothermal Resources Council - Annual Meeting of the Geothermal Resources Council 2007 "Renewable Baseload Energy: Geothermal Heat Pumps to Engineered Reservoirs" - Reno, NV, United States
Duration: 2007 Sept 302007 Oct 3


  • ECS
  • Fracture orientation
  • HDR
  • Stress

ASJC Scopus subject areas

  • Renewable Energy, Sustainability and the Environment
  • Energy Engineering and Power Technology
  • Geophysics


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