3D coupled HM–XFEM modeling with cohesive zone model and applications to non planar hydraulic fracture propagation and multiple hydraulic fractures interference

Abstract

A 3D fully coupled hydromechanical model for the simulation of fluid-driven fracture propagation through poroelastic saturated media is presented and compared to several analytical or numerical benchmarks. The hydromechanical coupling in the porous matrix is derived within the framework of the generalized Biot theory and the fluid flow in the fractures satisfies the lubrication equation. The presence and propagation of fluid-driven fractures is handled with the extended finite element method and the propagation of the fluid-driven fractures is governed by a mixed linear cohesive law relying on a stable mortar formalism. A comparison between numerical results and a semi-analytical solution for plane fluid-driven fractures in porous media assess the validity of the proposed model. Then, a procedure for the propagation of fluid-driven fractures on non predefined paths is detailed. In particular, the fracture reorientation angle is computed exclusively from cohesive quantities. Various numerical experiments are performed to study the interferences between neighboring fluid-driven fractures as well as the reorientation of fluid-driven fractures under complex stress conditions. Finally, the model is extended to discontinuity junctions and an application to arrays of vertical fractures initiated from horizontal wells is presented.

Hydromechanical Modeling of Nonplanar Three‐Dimensional Fracture Propagation Using an Iteratively Coupled Approach

“…Knowledge regarding the scale, geometry, and complexity of hydraulically created fractures is crucial in georesource and subsurface storage formations. A critical need exists to develop physics-based numerical models to predict fracture growth with multiscale, multidimensional, and multiphysics characteristics, to gain better insights into various complex phenomena (Paul et al, 2018).…”

Advances in Laboratory‐Scale Hydraulic Fracturing Experiments

“…Numerical analyses of hydraulic fracturing have been frequently performed based on a variety of methods. Typical examples are the finite element method (FEM) [19], extended finite element method (XFEM) [20], distinct element method (DEM) [21], displacement discontinuity method (DDM) [22], rigid block spring method (RBSM) [23], 3D coupled hydromechanical XFEM [24], cohesive zone method (CZM) [25], and peridynamics [26]. e FEM assumes the domain of the hydraulic fracturing problem to be a continuum.…”

Numerical model on predicting hydraulic fracture propagation in low-permeability sandstone

“…Significant progress has been made in research of numerical simulation in recent years (Lecampion et al., 2018). Several commonly used methods are Finite Element Method (FEM) (Segura and Carol, 2010), Finite Difference Method (FDM) (Gordeliy and Detournay, 2011), Cohesive Zone Methods (CZM) (Carrier and Granet, 2012; Li et al., 2017; Wang et al., 2019) and Extended Finite Element Method (XFEM) (Gordeliy and Peirce, 2013; Luege et al., 2016; Mohammadnejad and Khoei, 2013; Paul et al., 2018; Wang et al., 2017). Material characteristics (stiffness, permeability coefficient, etc.)…”