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Dynamical System Modeling and Stability Investigation�DSMSI-2023

Dedicated to the 77th anniversary of the outstanding Ukrainian scientist

professor Denys Khusainov

December 19-21, 2023, Kyiv, Ukraine

REGULARITY OF GEOTECHNOLOGICAL FORMATION OF THE AREA OF WEAKENED CONNECTIONS IN THE ROCK MASS

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Pavel Petrov,University of Economics, Varna, Bulgaria �Yaroslav Petrivskyi, Mykhailo Tymchuk, Rivne State Humanitarian University

Volodymyr Petrivskyi, Taras Shevchenko National University of Kyiv�

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A fracking crack that extends linearly in the vertical direction

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Introduction

  • Hydraulic fracturing is one of the most powerful technologies that is actively used to stimulate mineral production.
  • Modeling the process of crack development is the most accurate method of interpreting the entire set of parameters of hydraulic fracturing technology.
  • Evaluation of the spread of the area of weakened connections is another aspect of research on the impact of hydraulic fracturing outside the formed fracture

Dynamical System Modeling and Stability Investigation, DSMSI-2023

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The main types of fundamental ratios

  • The provisions of linear-elastic crack mechanics

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  • The laws of motion of the fracture fluid in a narrow slit

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  • The continuity equation

Dynamical System Modeling and Stability Investigation, DSMSI-2023

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A solution of the problem of the vertical crack propagation

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Crack model of fracking with consideration of the area of weakened connections

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Two parameters that characterize the start and the end of the fracture

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A solution of the problem of crack propagation with consideration of the area of weakened connections

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Estimating the size of the area of weakened connections

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Condition for crack opening

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Conclusions

  • A solution to the linear-elastic problem of symmetric crack development in the vertical direction
  • The extension of the region of weakened connections in the massif containing a fracking crack depends on the value of the elastic modulus and the ultimate tensile strength
  • The spread of the area of weakened connections is greater for rocks with a lower value of tensile strength at a higher value of Young's modulus
  • For the case of rocks of the same petrographic name, the propagation of the area of weakened connections is larger at lower values of the rock tensile strength.

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Thank you for your attention

Dynamical System Modeling and Stability Investigation, DSMSI-2023