Development of a crack close to a circular opening with an external field of compressive stresses

Hydraulic Fracture Propagation Near the Cavity in a Poroelastic Media

“…The results of the provided numerical experiments comport with the existing research. Figures 3-6 show that, with an increase in material strength and elastic modulus and decrease in permeability, fracture trajectories are less curved, which is consistent with the conclusions in [41,[50][51][52]. Additionally, in the work, the Biot coefficient characterizing the degree of problem coupling was used to study the effect of the medium's poroelastic model on hydraulic fracturing (Figures 5a and 7).…”

“…In this case, the results of modeling the hydraulic fracturing correspond to the solutions obtained in the elastic model. Some aspects of such a problem already have been studied [35,37,50]. Figure 3 shows the paths of the hydraulic fractures at different hydrostatic stresses, P, and different distances between the initial crack and the cavity.…”

Modeling of hydraulic fracture in a medium containing a hollow inclusion

“…If the distance s is increased, the effect of the cavity will decrease, and the shape of the crack becomes closer to the disk (Figure 3a). It can be noted that for the given parameters of the model, the crack does not significantly propagate around the cavity (in the radial direction), as is well observed when considering the 2d plane problem [11,12,14]. Table 1 shows the projection areas of the fractures on the xy, xz, and yz plane, obtained by pumping the same volume of fluid equal to 4.05e-4 m 3 and different distances between the initial fracture and the cavity.…”

“…Such conditions can arise, for example, when HF is performed near mine workings. Some problems of the development of hydraulic fractures near cavities/voids were considered in [8][9][10][11][12][13][14]. In [8], a model of hydraulic fracturing in the roof of a mine working, which had a rectangular shape, was proposed.…”

“…In [8], a model of hydraulic fracturing in the roof of a mine working, which had a rectangular shape, was proposed. In [9][10][11][12], the behavior of HF crack in the vicinity of circular cavities in a 2d elastic medium was investigated. In [13], the problem of modeling HF near a free surface in an elastic and poroelastic model of a medium was considered, where it was shown that the trajectories of cracks in these two cases are different.…”