...-dimensional (2D) model by considering it as a mixed boundary value triple pressurized-crack problem. In this paper, such representations are first used to obtain discrete stress intensity factors (SIF) at specific locations, and then, are superimposed on routine SIFs to include the influence of real-world 3D...

... and pack fracturing materials drillstem testing history matching stress intensity factor fracture location pressure distribution fracture pressure bottom tip fracture height fracture half-height hydraulic fracture calculation fracc and pack pressure drop mpa perforation fracture toughness...

..., to more precisely account for the effect of vertical stress heterogeneity, and to allow multiple horizontal propagation fronts. The width profile and stress intensity factors at the top and bottom depend on the stress and pressure profiles along the stack of elements. The theoretical background...

... of the reservoirs. stress intensity factor initiation fracture propagation fracture secondary fracture hydraulic fracturing criterion fracture initiation hydraulic fracture reservoir Upstream Oil & Gas natural fracture temperature difference microfracture interface displacement thermal...

... [ Barry et al., 1992 ]: (1) σ n = P + α 1 p − σ H sin 2 β − σ h cos 2 β (2) τ n = 1 2 ( σ H − σ h ) sin 2 β Definitions of Stress Intensity Factor The stress intensity factor is a parameter used in fracture mechanics...

... function of pressure, m/Lt 2 , psi G(t) width Kernel for odd function, m/t 2 , psi-ft H original fracture height, L, ft H p proppant fill height, L, ft k stress amplification factor, dimensionless K I stress intensity factor m/L 1/2 t 2 , psi-√in n...