title: A fast random walk algorithm for computing the pulsed-gradient spin-echo signal in multiscale porous media.
abstract: A new method for computing the signal attenuation due to restricted diffusion in a linear magnetic field gradient is proposed. A fast random walk (FRW) algorithm for simulating random trajectories of diffusing spin-bearing particles is combined with gradient encoding. As random moves of a FRW are continuously adapted to local geometrical length scales, the method is efficient for simulating pulsed-gradient spin-echo experiments in hierarchical or multiscale porous media such as concrete, sandstones, sedimentary rocks and, potentially, brain or lungs.
authors.affiliation: Laboratoire de Physique de la Matière Condensée, CNRS-Ecole Polytechnique, F-91128 Palaiseau, France. denis.grebenkov@polytechnique.edu
authors.forename: Denis S
authors.initials: DS
authors.lastname: Grebenkov
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D003252:Construction Materials; D004058:Diffusion; D004574:Electromagnetic Fields; D009682:Magnetic Resonance Spectroscopy / Q000379:methods*; D009010:Monte Carlo Method