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, Volume 103, Issue 1, pp 41–53 | Cite as

Fracture Cross Extension Arithmetic Research Based on Non-continuum Theory

  • Suling Wang
  • Minzheng JiangEmail author
  • Kangxing Dong
  • Mingzhan Chen


The cross extension of hydraulic fracture and natural fracture is the key to realize the volume fracture in unconventional reservoir. Based on the non-continuum theory, with the help of numerical simulation algorithm, a mathematical model for in-situ stress about fracturing expansion when the hydraulic fracture intersects with a natural fracture is presented. Then, using two-dimensional linear elastic theory verify the validity of degenerate in-situ stress mode. So it makes the natural fissure error about natural fracture surface pressure less than 1%. As a result, the accuracy of the model was proved. On the basis of the above, considering fluid-structure coupling effect, the stress change rules on natural fracture surface are obtained during hydraulic fracture extension process. The calculation results are as follows: In the process of hydraulic fracture approaching natural fracture, the surface of natural fracture occurs shear deformation first, and then turns into open deformation. Under the influence of shear deformation, the direction of the maximum principal stress on natural fracture surface is the same as initial horizontal maximum principal geostress. Due to the expansion of hydraulic fracture and fracture tip concentration effect, the maximum principal stress appears in the hydraulic fracture tip, this two points may induce the natural fracture begin to extend. And for initial ground stress in a stratum, the smaller the difference, the greater the pressure required to open the natural fracture. At this time, the maximum principal stress on the surface of the natural fracture is less concentrated; multiple fracture initiations are easily formed. Under high pressure, when the approaching angle between natural fracture and hydraulic fracture closes to 45° hydraulic fracture is easier to activate natural fracture, the formed hydraulic fracture shape is more complicated.


Numerical algorithms Natural fracture Shear slip Fracture diverting Initial ground stress difference Approaching angle 



The authors are grateful for the support of the National Basic Research Program of China (973 Program) (2015CB250900) and Natural Science Foundation of China (51374074).


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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • Suling Wang
    • 1
  • Minzheng Jiang
    • 1
    Email author
  • Kangxing Dong
    • 1
  • Mingzhan Chen
    • 1
    • 2
  1. 1.Mechanical Science and Engineering CollegeNortheast Petroleum UniversityDaqingChina
  2. 2.Daqing Oilfield Co., LTDDaqingChina

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