Patent Document ID: 9085976
Application ID: 13327965
Patent Flag: 1

Claim One:
1. A method comprising: using a processor to perform the following: interpreting a formation description corresponding to a formation of interest; interpreting a high solids content fluid (HSCF) description; modeling a fracturing operation comprising HSCF bridging and debridging events, in the formation of interest, and determining pressure oscillations in response to the formation description and the HSCF bridging and debridging events; and in response to the modeling, providing a fracture treatment description parameter wherein the modeling HSCF bridging and debridging events comprises estimating a first fracture width at a width less than 2.5 times a largest particle size of the HSCF and a second fracture width estimated at a width greater than 5.5 times the largest particle size of the HSCF, wherein the modeling comprises a width profile equation w ⁡ ( x ) = 4 π ⁢ ⁢ E ′ ⁢ ∫ 0 L ⁢ ln [ L 2 - x 2 + L 2 - ξ 2 L 2 - x 2 - L 2 - ξ 2 ] ⁡ [ p ⁡ ( ξ ) - σ min ] ⁢ ⁢ ⅆ ξ , a fluid flow equation ∂ w ∂ t + ∂ q ∂ x + q L = 0 , a fluid leakoff equation q L = 2 ⁢ C L t - τ ⁡ ( x ) , a flow rate equation q = - n n + 1 ⁢ ( 1 2 n + 1 ⁢ k ) 1 n ⁢ ( ∂ p ∂ x ) 1 n ⁢ w 2 ⁢ n + 1 n , a first boundary condition comprising q(0,t)=q i (t), and a second boundary condition comprising p(L,t)=p 0 at x=L; wherein w(x) is the fracture width at axial position x, E′ is a plane strain Young's modulus E ′ = E 1 - v 2 , wherein E is a Young's modulus and v is a Poisson's ratio, wherein L is an axial extent of the fracture, wherein σ min is a minimum in-situ horizontal stress, wherein ξ is a distance related integration variable, wherein C L is a fluid leakoff coefficient, wherein t is injection time, wherein τ is a leakoff time at a position x, wherein n and k are power-law fluid parameters, and wherein p 0 is a formation pressure at the fracture front.