Eur. Phys. J. B (2014) 87: 255
https://doi.org/10.1140/epjb/e2014-50615-1

Regular Article

Local boundary conditions for NMR-relaxation in digitized porous media

¹ Nano Science Center, Department of Chemistry, University of Copenhagen, Universitetsparken 5, 2100 København Ø, Denmark
² School of Science and Technology, Örebro University, 701 82 Örebro, Sweden

^a e-mail: magnus@ogren.se

Received: 2 January 2014
Received in final form: 10 September 2014
Published online: 1 November 2014

Abstract

We narrow the gap between simulations of nuclear magnetic resonance dynamics on digital domains (such as CT-images) and measurements in D-dimensional porous media. We point out with two basic domains, the ball and the cube in D dimensions, that due to a digital uncertainty in representing the real pore surfaces of dimension D − 1, there is a systematic error in simulated dynamics. We then reduce this error by introducing local Robin boundary conditions.