An extended J-integral for evaluating fluid-driven cracks in hydraulic fracturing
Huifang Song;Sheik S.Rahman;School of Petroleum Engineering, University of New South Wales;
J-integral has served as a powerful tool in characterizing crack tip status. The main feature, i.e. pathindependence, makes it one of the foremost fracture parameters. In order to remain the pathindependence for fluid-driven cracks, J-integral is revised. In this paper, we present an extended J-integral explicitly for fluid-driven cracks, e.g. hydraulically induced fractures in petroleum reservoirs, for three-dimensional(3 D) problems. Particularly, point-wise 3 D extended J-integral is proposed to characterize the state of a point along crack front. Besides, applications of the extended J-integral to porous media and thermally induced stress conditions are explored. Numerical results show that the extended Jintegral is indeed path-independent, and they are in good agreement with those of equivalent domain integral under linear elastic and elastoplastic conditions. In addition, two distance-independent circular integrals in the K-dominance zone are established, which can be used to calculate the stress intensity factor(SIF).
【CateGory Index】： TE357.1