The opening of a propped transverse fracture in horizontal well causes a reorientation of in-situ stress in its neighborhood, which in turn affects the propagation of subsequent main fractures and stress-relief fractures as what is called stress shadowing (Roussel and Sharma, 2011b and Taghichian et al., 2014). Microseismic measurements confirmed the existence of this I-BET151 stress-shadowing effect during horizontal well completions (Fisher et al., 2004 and Mayerhofer et al., 2006). There are a number of approaches that can be employed to solve stress interference caused by hydraulic fracturing, such as the analytical model proposed by Sneddon and Elliott (1946). Their model has given the components of stress by single propped fracture as follows:equation(1)12(Δσx+Δσy)=pnet rr1r2cos(θ−12θ1−12θ2)−1 12(Δσy−Δσx)=pnetrsin(θ)c(c2r1r2)3/2sin32(θ1+θ2)Δτxy=pnetrsin(θ)c(c2r1r2)3/2cos32(θ1+θ2)where c is DNA polymerase the half length of fracture, pnetpnet is the net pressure in fracture and the other symbols are explained in Fig. 1(a).