The crack tip region in hydraulic fracturing
Abstract
We present analytical tip region solutions for fracture width and pressure when a power law fluid drives a plane strain fracture in an impermeable linear elastic solid. Our main result is an intermediate asymptotic solution in which the tip region stress is dominated by a singularity which is particular to the hydraulic fracturing problem. Moreover this singularity is weaker than the inverse square root singularity of linear elastic fracture mechanics. We also show how the solution for a semiinfinite crack may be exploited to obtain a useful approximation for the finite case.
 Publication:

Proceedings of the Royal Society of London Series A
 Pub Date:
 October 1994
 DOI:
 10.1098/rspa.1994.0127
 Bibcode:
 1994RSPSA.447...39D
 Keywords:

 Crack Tips;
 Elastic Media;
 Fracture Mechanics;
 Fracturing;
 Hydrodynamics;
 Plane Strain;
 Solids;
 Approximation;
 Crack Initiation;
 Fluid Flow;
 Structural Mechanics