Similarity solution of a penny-shaped fluid-driven fracture in a zero-toughness linear elastic solid

Alexei Savitski, Emmanuel Detournay

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

This note deals with the problem of a penny-shaped hydraulic fracture propagating in an impermeable elastic solid. Growth of the fracture is driven by injection of an incompressible Newtonian fluid at the center of the fracture. The solution is restricted to the so-called viscosity-dominated regime where it can be assumed that the solid has zero toughness. The paper describes the construction of a semi-analytical similarity solution, which incorporates the known singularity of the fluid pressure at the center of the fracture and at the tip and which is based on series expansions of the fracture opening and fluid pressure in terms of Jacobi polynomials.

Original languageEnglish (US)
Pages (from-to)255-262
Number of pages8
JournalComptes Rendus de l'Academie de Sciences - Serie IIb: Mecanique
Volume329
Issue number4
DOIs
StatePublished - Jan 1 2001

Keywords

  • Fracture mechanics
  • Hydraulic fracture

Fingerprint Dive into the research topics of 'Similarity solution of a penny-shaped fluid-driven fracture in a zero-toughness linear elastic solid'. Together they form a unique fingerprint.

  • Cite this