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Loopless nontrapping invasion-percolation model for fracking.

J Quinn Norris1, Donald L Turcotte2, John B Rundle3

  • 1Department of Physics, One Shields Ave., University of California, Davis, California 95616, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 30, 2014
PubMed
Summary
This summary is machine-generated.

This study models hydraulic fracturing (fracking) using invasion percolation, revealing power-law distributions in fracture network bursts. These findings align with microseismicity patterns observed during high-volume fracking operations.

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Area of Science:

  • Geophysics
  • Complex Systems Modeling
  • Petroleum Engineering

Background:

  • Hydraulic fracturing (fracking) advancements enable natural gas and oil extraction from low-permeability shales.
  • Shift towards high-volume, low-viscosity fluid injection creates fracture permeability via distributed damage.

Purpose of the Study:

  • To model the distributed damage and fracture network formation during hydraulic fracturing.
  • To analyze the network statistics and burst dynamics of the fracturing process.

Main Methods:

  • Utilized a loopless nontrapping invasion percolation model on a 2D square lattice.
  • Performed numerical simulations to observe fracture network growth.
  • Introduced a new definition for burst dynamics based on bond strengths.

Main Results:

  • The model exhibits distinct differences from other percolation models.
  • The simulated fracture network adheres to Horton-Strahler and Tokunaga network statistics.
  • A power-law frequency-area distribution was observed for burst dynamics, consistent with microseismicity.

Conclusions:

  • The invasion percolation model effectively captures key aspects of hydraulic fracturing.
  • The findings provide insights into the physics governing fracture network evolution and associated seismicity.
  • The study supports the consistency between modeled fracture dynamics and real-world fracking observations.