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KIAM Preprint № 22, Moscow, 2007
Authors: Pergament A.Kh., Ulkin D.A.
Self-similar asymptotics in plain-strain hydraulic fracture propagation problem
Abstract:
In this article the self-consistent plain-strain hydraulic fracture propagation problem is analyzed analytically and numerically. The fracture is loaded by the far-field confining stress and is driven by time dependent fluid flow at the inlet. The similarity method is used to obtain different classes of the self-similar solutions. The algorithm is realized to analyze the evolution of the considered problem to the asymptotic solutions. Well known Spence & Sharp solution proofed to be an asymptotic solution for problem with initial conditions in non zero far-field confining stress case. Khristianovich & Zheltov solution proofed to be a limit self-similar solution for considered problem.
Publication language: russian,  pages: 31
Research direction:
Mathematical modelling in actual problems of science and technics
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About authors:
  • Pergament A. Kh.,  KIAM RAS
  • Ulkin D.A.