Matches in SemOpenAlex for { <https://semopenalex.org/work/W433548853> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W433548853 abstract "In 1974 Anderssen and Cleary examined the distribution of eigenfrequenciesof radial overtones in torsional oscillations of Earth-models.They pointed out that according to Sturm-Liouville theory this distributionshould approach asymptotically, for large overtone number m,the value nnz/y, where y is the time taken by a shear-wave to travelalong a radius from the core-mantle interface to the surface, providedelastic parameters vary continuously along the radius. They found that,for all the models which they considered, the distributions of eigenfrequenciesdeviated from the asymptote by amounts which depended onthe existence and size of internal discontinuities. Lapwood (1975) showedthat such deviations were to be expected from Sturm-Liouville theory,and McNabb, Anderssen and Lapwood (1976) extended Sturm-Liouvilletheory to apply to differential equations with discontinuous coefficients.Anderssen (1977) used their results to show how to predict the patternof deviations —called by McNabb et al. the solotone effect— for agiven discontinuity in an Earth-model.Recently Sato and Lapwood (1977), in a series of papers which willbe referred to here simply as I, II, III, have explored the solotone effectfor layered spherical shells, using approximations derived from an exacttheory which holds for uniform layering. They have shown how theform of the pattern of eigenfrequencies, which is the graph ofS — YMUJI/N — m against m, where ,„CJI is the frequency of the m'overtone in the I' (Legendre) mode of torsional oscillation, is determinedas to periodicity (or quasi-periodicity) by the thicknesses and velocitiesof the layers, and as to amplitude by the amounts of the discontinuities(III). The pattern of eigenfrequencies proves to be extremely sensitiveto small changes in layer-thicknesses in a model.In this paper we examine a proposed Earth-model with six surfacesof discontinuity between core boundary and surface, and predict itspattern of eigenfrequencies. When seismological observations becomeprecise enough, and can be subjected to numerical analysis refinedenough, to identify the radial overtones for large m, this pattern ofeigenfrequencies will prove to be a severe test for any proposed model,including he one which we discuss below." @default.
- W433548853 created "2016-06-24" @default.
- W433548853 creator A5040489279 @default.
- W433548853 creator A5041407257 @default.
- W433548853 date "2010-09-14" @default.
- W433548853 modified "2023-10-14" @default.
- W433548853 title "The pattern of eigenfrequencies of radial overtones which is predicted for a specified Earth-model" @default.
- W433548853 doi "https://doi.org/10.4401/ag-4832" @default.
- W433548853 hasPublicationYear "2010" @default.
- W433548853 type Work @default.
- W433548853 sameAs 433548853 @default.
- W433548853 citedByCount "1" @default.
- W433548853 countsByYear W4335488532021 @default.
- W433548853 crossrefType "journal-article" @default.
- W433548853 hasAuthorship W433548853A5040489279 @default.
- W433548853 hasAuthorship W433548853A5041407257 @default.
- W433548853 hasBestOaLocation W4335488531 @default.
- W433548853 hasConcept C111458787 @default.
- W433548853 hasConcept C121130766 @default.
- W433548853 hasConcept C121332964 @default.
- W433548853 hasConcept C134306372 @default.
- W433548853 hasConcept C153262748 @default.
- W433548853 hasConcept C15627037 @default.
- W433548853 hasConcept C178635117 @default.
- W433548853 hasConcept C180205008 @default.
- W433548853 hasConcept C198394728 @default.
- W433548853 hasConcept C2524010 @default.
- W433548853 hasConcept C2777042112 @default.
- W433548853 hasConcept C32758168 @default.
- W433548853 hasConcept C33923547 @default.
- W433548853 hasConcept C3768446 @default.
- W433548853 hasConcept C38615331 @default.
- W433548853 hasConcept C38652104 @default.
- W433548853 hasConcept C41008148 @default.
- W433548853 hasConcept C4839761 @default.
- W433548853 hasConcept C58315980 @default.
- W433548853 hasConcept C62520636 @default.
- W433548853 hasConceptScore W433548853C111458787 @default.
- W433548853 hasConceptScore W433548853C121130766 @default.
- W433548853 hasConceptScore W433548853C121332964 @default.
- W433548853 hasConceptScore W433548853C134306372 @default.
- W433548853 hasConceptScore W433548853C153262748 @default.
- W433548853 hasConceptScore W433548853C15627037 @default.
- W433548853 hasConceptScore W433548853C178635117 @default.
- W433548853 hasConceptScore W433548853C180205008 @default.
- W433548853 hasConceptScore W433548853C198394728 @default.
- W433548853 hasConceptScore W433548853C2524010 @default.
- W433548853 hasConceptScore W433548853C2777042112 @default.
- W433548853 hasConceptScore W433548853C32758168 @default.
- W433548853 hasConceptScore W433548853C33923547 @default.
- W433548853 hasConceptScore W433548853C3768446 @default.
- W433548853 hasConceptScore W433548853C38615331 @default.
- W433548853 hasConceptScore W433548853C38652104 @default.
- W433548853 hasConceptScore W433548853C41008148 @default.
- W433548853 hasConceptScore W433548853C4839761 @default.
- W433548853 hasConceptScore W433548853C58315980 @default.
- W433548853 hasConceptScore W433548853C62520636 @default.
- W433548853 hasIssue "3-4" @default.
- W433548853 hasLocation W4335488531 @default.
- W433548853 hasLocation W4335488532 @default.
- W433548853 hasOpenAccess W433548853 @default.
- W433548853 hasPrimaryLocation W4335488531 @default.
- W433548853 hasRelatedWork W1965572018 @default.
- W433548853 hasRelatedWork W1999941775 @default.
- W433548853 hasRelatedWork W2009348280 @default.
- W433548853 hasRelatedWork W2035445662 @default.
- W433548853 hasRelatedWork W2064815415 @default.
- W433548853 hasRelatedWork W2101085169 @default.
- W433548853 hasRelatedWork W2170720961 @default.
- W433548853 hasRelatedWork W2803890690 @default.
- W433548853 hasRelatedWork W4250313187 @default.
- W433548853 hasRelatedWork W433548853 @default.
- W433548853 hasVolume "30" @default.
- W433548853 isParatext "false" @default.
- W433548853 isRetracted "false" @default.
- W433548853 magId "433548853" @default.
- W433548853 workType "article" @default.