 |
| Titel |
The l1/2 law and multifractal topography: theory and analysis |
| VerfasserIn |
S. Lovejoy, D. Lavallée, D. Schertzer, P. Ladoy |
| Medientyp |
Artikel
|
| Sprache |
Englisch
|
| ISSN |
1023-5809
|
| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 2, no. 1 ; Nr. 2, no. 1, S.16-22 |
| Datensatznummer |
250000362
|
| Publikation (Nr.) |
 copernicus.org/npg-2-16-1995.pdf |
|
|
|
|
|
| Zusammenfassung |
| Over wide ranges of scale, orographic processes have no obvious
scale; this has provided the justification for both deterministic and monofractal scaling
models of the earth's topography. These models predict that differences in altitude (Δh)
vary with horizontal separation (l) as Δh ≈ lH. The scaling exponent has been estimated
theoretically and empirically to have the value H=1/2. Scale invariant nonlinear processes
are now known to generally give rise to multifractals and we have recently empirically
shown that topography is indeed a special kind of theoretically predicted
"universal" multifractal. In this paper we provide a multifractal generalization
of the l1/2 law, and propose two distinct multifractal models, each leading via
dimensional arguments to the exponent 1/2. The first, for ocean bathymetry assumes that
the orographic dynamics are dominated by heat fluxes from the earth's mantle, whereas the
second - for continental topography - is based on tectonic movement and gravity. We test
these ideas empirically on digital elevation models of Deadman's Butte, Wyoming. |
| |
|
| Teil von |
|
|
|
|
|
|
|
|