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
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.
Key words: Statistical and Nonlinear Physics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2014