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Using NMR to Measure Fractal Dimensions
- Publication Year :
- 2002
-
Abstract
- A comment is made on the recent PFG NMR measurements by Stallmach, et al. on water-saturated sands [Phys. Rev. Lett. 88, 105505 (2002)]. It is pointed out that the usual law for the time-dependent diffusion coefficient D(t) used by these authors is not valid for a fractal surface. It is shown that (1-D(t)/D0) \~ t^[(3-Ds)/2] at short times for a surface of fractal dimension Ds, where D0 is the bulk diffusion coefficient. Preliminary PFG NMR data on water saturated limestone and plastic beads are presented to illustrate this analysis.<br />1 page, 1 figure
- Subjects :
- Physics
Nuclear magnetic resonance
Fractal
Statistical Mechanics (cond-mat.stat-mech)
Measure (physics)
General Physics and Astronomy
FOS: Physical sciences
Statistical physics
Disordered Systems and Neural Networks (cond-mat.dis-nn)
Condensed Matter - Disordered Systems and Neural Networks
Fractal dimension
Condensed Matter - Statistical Mechanics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....bc12ae17bca4feb7fd3ea3c084107a67