Numerical investigation of initiation and propagation of hydraulic fracture using the coupled Bonded Particle–Lattice Boltzmann Method

Abstract

This paper presents a coupled Bonded Particle and Lattice Boltzmann Method (BPLBM) for modelling fluid-solid interactions in engineering, e.g. geomechanics. In this novel technique, the Bonded Particle model is employed to describe the inter-particle interactions, and the bonds between contacted particles are assumed to be broken when the tensional force and/or tangential force reach a certain critical value; while the Lattice Boltzmann method is used to model the fluid phase, and the Immersed Moving Boundary (IMB) scheme is utilized to resolve the fluid-solid interactions. Based on this novel technique, the investigation of hydraulic fracturing is carried out. The onset and propagation of hydraulic fracture are successfully captured and reproduced. Numerical results show that the coupled BPLBM is promising and efficient in handling complicated fluid-solid interactions at the grain level in hydraulic fracturing.

Phase field modeling of hydraulic fracturing with interfacial damage in highly heterogeneous fluid-saturated porous media

“…(3) Loop over all time increments: at each time t n+1 : (a) Given d(t n ), u(t n ), p(t n ), H(t n ): (b) Compute the history function H(t n+1 ) according to (51).…”

“…The earliest work on numerical modeling of hydraulic fracturing can be traced back to Boone and Ingraffea [6], who combined the finite element method and the finite difference method to solve the poroelasticity problem, where the fracture was modeled by a cohesive zone on an assumed crack path. Since then, several methods have been developed to simulate the hydraulic fracturing or crack propagation in fluidsaturated porous media such as the cohesive zone model, adaptive meshing strategies [45,46], approaches based on lattice, particle models, or discrete elements [12,51,19,52,20,43], extended finite element method (XFEM) for geometrically linear setting [13,44,37,36,21], or XFEM for nonlinear setting at finite strains [23].…”

A coupled 3‐dimensional bonded discrete element and lattice Boltzmann method for fluid‐solid coupling in cohesive geomaterials

“…[28][29][30] Recently, a 2-dimensional bonded particle and lattice Boltzmann method (BPLBM) has been proposed and well demonstrated. 31,32 This work aims to develop a 3-dimensional computational framework for BPLBM, which couples the bonded particle method and the lattice Boltzmann method, for resolving the fluid-solid coupling in geomechanics.…”

Hybrid TLBO and BFGS for structural health monitoring optimisation problems

“…old, , new (6) At both teacher and learner phases, the new solution (x new ) will replace its parent if it has better knowledge or produces better objective function value, otherwise, it will be rejected. The two phases are sequentially operated until the termination criterion is fulfilled.…”

“…The main idea is to use the modal data of a normal structure as the baseline, if the modal data alert from normal values, the damage might occur. The used of modal data based damage detection can be from, using the modal data directly such as in references [2][3][4][5], applying soft computing such as fuzzy logic systems [6] and neural networks [7]. Recently, meta-heuristics (MHs) have been introduced to solve a structural damage detection inverse problem.…”