Please use this identifier to cite or link to this item:
http://hdl.handle.net/2122/1607
DC Field | Value | Language |
---|---|---|
dc.contributor.authorall | Mainardi, F.; Dipartimento di Fisica, Universitò di Bologna, Italy | en |
dc.contributor.authorall | Tomirotti, M.; Dipartimento di Ingegneria Idraulica, Ambientale e del Rilevamento, Politecnico di Milano, Italy | en |
dc.date.accessioned | 2006-09-11T08:01:21Z | en |
dc.date.available | 2006-09-11T08:01:21Z | en |
dc.date.issued | 1997-10 | en |
dc.identifier.uri | http://hdl.handle.net/2122/1607 | en |
dc.description.abstract | The one-dimensional propagation of seismic waves with constant Q is shown to be governed by an evolution equation of fractional order in time, which interpolates the heat equation and the wave equation. The fundamental solutions for the Cauchy and Signalling problems are expressed in terms of entire functions (of Wright type) in the similarity variable and their behaviours turn out to be intermediate between those for the limiting cases of a perfectly viscous fluid and a perfectly elastic solid. In view of the small dissipation exhibited by the seismic pulses, the nearly elastic limit is considered. Furthermore, the fundamental solutions for the Cauchy and Signalling problems are shown to be related to stable probability distributions with an index of stability determined by the order of the fractional time derivative in the evolution equation. | en |
dc.format.extent | 4837047 bytes | en |
dc.format.mimetype | application/pdf | en |
dc.language.iso | English | en |
dc.relation.ispartofseries | 5/40 (1997) | en |
dc.subject | Earth anelasticity | en |
dc.subject | quality factor | en |
dc.subject | wave propagation | en |
dc.subject | fractional derivatives | en |
dc.subject | stable probability distributions | en |
dc.title | Seismic pulse propagation with constant Q and stable probability distributions | en |
dc.type | article | en |
dc.type.QualityControl | Peer-reviewed | en |
dc.subject.INGV | 05. General::05.09. Miscellaneous::05.09.99. General or miscellaneous | en |
dc.description.journalType | JCR Journal | en |
dc.description.fulltext | open | en |
dc.contributor.author | Mainardi, F. | en |
dc.contributor.author | Tomirotti, M. | en |
dc.contributor.department | Dipartimento di Fisica, Universitò di Bologna, Italy | en |
dc.contributor.department | Dipartimento di Ingegneria Idraulica, Ambientale e del Rilevamento, Politecnico di Milano, Italy | en |
item.openairetype | article | - |
item.cerifentitytype | Publications | - |
item.languageiso639-1 | en | - |
item.grantfulltext | open | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.fulltext | With Fulltext | - |
crisitem.author.dept | Dipartimento di Fisica, Universitò di Bologna, Italy | - |
crisitem.author.dept | Dipartimento di Ingegneria Idraulica, Ambientale e del Rilevamento, Politecnico di Milano, Italy | - |
crisitem.classification.parent | 05. General | - |
Appears in Collections: | Annals of Geophysics |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
30 mainardi.pdf | 4.72 MB | Adobe PDF | View/Open |
Page view(s)
106
checked on Apr 20, 2024
Download(s) 20
526
checked on Apr 20, 2024