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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2025 Volume 37, Number 2, Pages 29–44 (Mi mm4595)

Numerical simulation of hydraulic fracture propagation in granite samples

V. N. Lapina, S. A. Stanchitsb, D. I. Potapenkob, E. A. Filevc

a Kutateladze Institute of Thermophysics of SB RAS
b LLC "Labadvance"
c Skolkovo Institute of Science and Technology

Abstract: The hydraulic fracture propagation in cylindrical granite samples has been studied experimentally and numerically. Approximation of laboratory measurements by simulation results showed that the hydraulic resistance of the fracture is much greater than the hydraulic resistance of a flat channel of the same volume. So, if the fluid flow in the fracture is treated as Poiseuille flow, the model may overestimate the fracture propagation velocity even if the calculated pressure is equal to one obtained from laboratory measurements. It is shown that excess hydraulic resistance can be caused by the fracture sides roughness, and taking it into account makes it possible to obtain agreement between computational and experimental results.

Keywords: hydraulic fracture, numerical modeling, hydraulic resistance.

Received: 22.01.2024
Revised: 05.08.2024
Accepted: 09.09.2024

DOI: 10.20948/mm-2025-02-03



© Steklov Math. Inst. of RAS, 2025