{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,22]],"date-time":"2025-12-22T14:59:41Z","timestamp":1766415581965,"version":"3.41.2"},"reference-count":23,"publisher":"AIP Publishing","issue":"11","content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2005,11,1]]},"abstract":"<jats:p>We use pulsed field gradient nuclear magnetic resonance to probe molecular displacements in preasymptotic Stokes flow through a pack of beads with bead diameter d=100\u00b120\u03bcm, through a Bentheimer sandstone, and a Portland carbonate rock core, for a common range of flow velocities v and interrogation times \u0394. For flow through the bead pack the length scale of the pore is well defined, as are the Peclet number Pe\u220a[20\u201380] and the Reynolds number Re&amp;lt;0.1. Probability distributions of molecular displacements P(\u03b6) are determined. The mean displacement \u27e8\u03b6\u27e9, the variance \u03c32\u2261\u27e8(\u03b6\u2212\u27e8\u03b6\u27e9)2\u27e9 and the skewness \u03b33\u2261\u27e8(\u03b6\u2212\u27e8\u03b6\u27e9)3\u27e9 of P(\u03b6) are determined by a self-consistent cumulant analysis designed to minimize the systematic errors to which any cumulant analysis of non-Gaussian distributions is susceptible. Systematic errors in \u03c3 and \u03b3 arising from surface relaxation effects and flow displacements through the internal fields of rocks are quantified.<\/jats:p>","DOI":"10.1063\/1.2131871","type":"journal-article","created":{"date-parts":[[2005,11,17]],"date-time":"2005-11-17T23:02:05Z","timestamp":1132268525000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":81,"title":["Quantitative nuclear magnetic resonance measurements of preasymptotic dispersion in flow through porous media"],"prefix":"10.1063","volume":"17","author":[{"given":"U. 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