A fast random walk algorithm for computing the pulsed-gradient spin-echo signal in multiscale porous media

►Magnetic field gradient encoding is implemented into fast random walk algorithm. ►The length and time of random moves are constantly adapted to the local structure. ►Computational time is weakly dependent on the geometrical complexity of the media. ►The method is applicable for simulating PGSE signals in multiscale porous media. ►Examples include: cement, sandstones, sedimentary rocks, brain and lungs.