VALIDATION TEST OF A NUMERICAL SCHEME MODELING USING THE LATTICE-BOLTZMANN AND THE COHESIVE FRACTURE MODELS FOR HYDRO-FRACKING SIMULATION
Luis Arnaldo Mejia Camones1; Eurípedes do Amaral Vargas Jr.1; Raquel Quadros Velloso1; Gláucio Paulino2
1 PUC-Rio; 2 Georgia Tech
doi:10.20906/CPS/CILAMCE2015-0899
Resumo
This research considers the hydraulic fracturing or hydro-fracking process in an impermeable material. The PPR potential-based cohesive zone model [1,2] was implemented in the finite element method (FEM) to simulate the crack propagation. In this implementation, interface cohesive elements are adaptively inserted into the mesh to capture the softening fracture process (extrinsic implementation). To model the fluid injected, the lattice-Bolzmann model (LBM) is used through an iterative procedure [3]. In the FEM, boundaries of cracks are represented by the faces of the cohesive elements. The position and velocity of these faces are transferred to the LBM as a boundary condition, where the forces applied on these boundaries, caused by the fluid injected, can be calculated. These forces are transferred to the FEM as external force applied on the cohesive element's faces, where the new position and velocity of the crack's boundary is computed. These values are transferred to the LBM, initializing a new cycle of calculating. The purpose of the present paper is to present results concerning validation of the proposed procedure against available analytical solutions.
Palavras-chave: Hydro-fracking; Cohesive fracture model; Lattice-Boltzmann model; PPR model