Numerical Methods for Processes in Fractured Porous Media

This volume collects state-of-the-art contributions on the numerical simulation of fractured porous media, focusing on flow and geomechanics. First appearing in issues of the International Journal on Geomathematics, these articles are now conveniently packaged in one volume. Of particular interest to readers will be the potential applications of modern numerical methods to the problem of processes in fractured porous media. This book is ideal for computational scientists and numerical analysts interested in recent developments of numerical discretization techniques for underground flow and geomechanics. Engineers and geologists studying modern simulation techniques will also find this a valuable resource.

A stabilized Lagrange multiplier finite-element method for flow in porous media with fractures.- A cut finite element method for elliptic bulk problems with embedded surfaces.- A Hybrid High-Order method for passive transport in fractured porous media.- Advanced computation of steady-state fluid flow in Discrete Fracture-Matrix models: FEM–BEM and VEM–VEM fracture-block coupling.- Two-phase Discrete Fracture Matrix models with linear and nonlinear transmission conditions.- A hybrid-dimensional discrete fracture model for non-isothermal two-phase flow in fractured porous media.- Mathematical analysis, finite element approximation and numerical solvers for the interaction of 3D reservoirs with 1D wells.- Fast and robust flow simulations in discrete fracture networks with GPGPUs.- Flow and transport in fractured poroelastic media.- Phase-field modeling through iterative splitting of hydraulic fractures in a poroelastic medium.- Numerical aspects of hydro-mechanical coupling of fluid-filled fractures using hybrid-dimensional element formulations and non-conformal meshes.- Comparative verification of discrete and smeared numerical approaches for the simulation of hydraulic fracturing.