P. Papanastasiou et M. Thiercelin, INFLUENCE OF INELASTIC ROCK BEHAVIOR IN HYDRAULIC FRACTURING, International journal of rock mechanics and mining sciences & geomechanics abstracts, 30(7), 1993, pp. 1241-1247
This paper examines the importance of different non-linear mechanisms,
such as plastic yielding, rock dilation, cohesive zone and fluid-lag
on a hydraulic fracture propagating in a low permeability formation. R
ock is modelled by the elastoplastic constitutive equations of Mohr-Co
ulomb flow theory of plasticity for cohesive-frictional, dilatant mate
rial. The fluid flow is modelled by lubrication theory and the constan
t velocity flow assumption. A cohesive crack model which takes into ac
count the softening behaviour that most rocks exhibit in the post-fail
ure regime is employed as the propagation criterion. The problem is so
lved numerically by the finite element method. It is shown that plasti
c yielding, which leads to rock dilation, results in a fracture with s
ignificantly greater opening and therefore a smaller dry zone than the
elastic fracture.