Pebbles, Shapes, and Equilibria

Domokos, G ✉ [Domokos, Gábor (Nemlineáris mecha...), szerző] Szilárdságtani és Tartószerkezeti Tanszék (BME / ÉPK); Sipos, A [Sipos, András Árpád (műszaki mechanika), szerző] Szilárdságtani és Tartószerkezeti Tanszék (BME / ÉPK); Szabo, T [Novák-Szabó, Tímea (Szilárdságtan), szerző] Szilárdságtani és Tartószerkezeti Tanszék (BME / ÉPK); Varkonyi, P [Várkonyi, Péter László (alkalmazott mecha...), szerző] Szilárdságtani és Tartószerkezeti Tanszék (BME / ÉPK)

Angol nyelvű Szakcikk (Folyóiratcikk) Tudományos
Megjelent: MATHEMATICAL GEOSCIENCES 1874-8961 1874-8953 42 (1) pp. 29-47 2010
  • X. Földtudományok Osztálya: A
  • SJR Scopus - Earth and Planetary Sciences (miscellaneous): Q1
Azonosítók
Szakterületek:
  • Matematika
The shape of sedimentary particles may carry important information on their history. Current approaches to shape classification (e.g. the Zingg or the Sneed and Folk system) rely on shape indices derived from the measurement of the three principal axes of the approximating tri-axial ellipsoid. While these systems have undoubtedly proved to be useful tools, their application inevitably requires tedious and ambiguous measurements, also classification involves the introduction of arbitrarily chosen constants. Here we propose an alternative classification system based on the (integer) number of static equilibria. The latter are points of the surface where the pebble is at rest on a horizontal, frictionless support. As opposed to the Zingg system, our method relies on counting rather than measuring. We show that equilibria typically exist on two well-separated (micro and macro) scales. Equilibria can be readily counted by simple hand experiments, i.e. the new classification scheme is practically applicable. Based on statistical results from two different locations we demonstrate that pebbles are well mixed with respect to the new classes, i.e. the new classification is reliable and stable in that sense. We also show that the Zingg statistics can be extracted from the new statistics; however, substantial additional information is also available. From the practical point of view, E-classification is substantially faster than the Zingg method.
Hivatkozás stílusok: IEEEACMAPAChicagoHarvardCSLMásolásNyomtatás
2025-02-12 19:15