Probing pores using elementary quantum mechanics.
The relaxation of polarized spins in a porous medium has been utilized as a probe of its structure. We note that the governing diffusion problem has a close parallel to that of a particle in a box, an elementary Quantum mechanics toy model. Following the spirits of "free electron" model, we use generic properties of the eigen spectrum to understand features common to a wide variety of pore geometry, consistent with large scale numerical simulations and experimental data.
Ryu
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Schlumberger-Doll Research, Old Quarry Road, Ridgefield, CT 06877, USA. ryu@ridgefield.sdr.slb.com
D009682:Magnetic Resonance Spectroscopy / Q000379:methods*; D008962:Models, Theoretical; D055585:Physical Phenomena; D010825:Physics; D016062:Porosity; D011789:Quantum Theory