�?�?t ε l ρ l v l + �?�?ε l ρ l v l v l = ε l �?�?τ l + ε l ρ l g �?ε l �?p �?β v l �?v s Figure 7 reveals the pressure and velocity cloud map in the coupled wellbore–fracture system in the mean time of loss. The stress from the drill pipe and annulus won't modify significantly, nevertheless the fluid stress w