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Low dispersive modeling of Rayleigh waves on partly staggered grids
dc.contributor.author | Rojas, Otilio |
dc.contributor.author | Otero Calviño, Beatriz |
dc.contributor.author | Castillo, José |
dc.contributor.author | Day, Steven |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament d'Arquitectura de Computadors |
dc.date.accessioned | 2014-01-10T19:08:04Z |
dc.date.created | 2013-10-01 |
dc.date.issued | 2013-10-01 |
dc.identifier.citation | Rojas, O. [et al.]. Low dispersive modeling of Rayleigh waves on partly staggered grids. "Computational geosciences", 01 Octubre 2013, p. 1-17. |
dc.identifier.issn | 1420-0597 |
dc.identifier.uri | http://hdl.handle.net/2117/21220 |
dc.description.abstract | In elastic media, finite-difference (FD) implementations of free-surface (FS) boundary conditions on partly staggered grid (PSG) use the highly dispersive vacuum formulation (VPSG). The FS boundary is embedded into a “vacuum” grid layer (null Lame’s constants and negligible density values) where the discretized equations of motion allow computing surface displacements. We place a new set of compound (stress-displacement) nodes along a planar FS and use unilateral mimetic FD discretization of the zero-traction conditions for displacement computation (MPSG). At interior nodes, MPSG reduces to standard VPSG methods and applies fourth-order centered FD along cell diagonals for staggered differentiation combined with nodal second-order FD in time. We perform a dispersion analysis of these methods on a Lamb’s problem and estimate dispersion curves from the phase difference of windowed numerical Rayleigh pulses at two FS receivers. For a given grid sampling criterion (e.g., six or ten nodes per reference S wavelength ¿ S), MPSG dispersion errors are only a quarter of the VPSG method. We also quantify root-mean-square (RMS) misfits of numerical time series relative to analytical waveforms. MPSG RMS misfits barely exceed 10 % when nine nodes sample the minimum S wavelength ¿SMIN in transit (along distances ~ 145 ¿SMIN ). In same tests, VPSG RMS misfits exceed 70 %. We additionally compare MPSG to a consistently fourth-order mimetic method designed on a standard staggered grid. The latter equates the former’s dispersion errors on grids twice denser and shows higher RMS precision only on grids with six or less nodes per ¿SMIN . |
dc.format.extent | 17 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
dc.subject.lcsh | Wave equation |
dc.subject.lcsh | Geology--Statistical methods |
dc.subject.other | Staggered grid |
dc.subject.other | High-order modeling |
dc.subject.other | Finite difference |
dc.subject.other | Wave equation |
dc.title | Low dispersive modeling of Rayleigh waves on partly staggered grids |
dc.type | Article |
dc.subject.lemac | Equacions d'ona |
dc.subject.lemac | Geologia -- Mètodes estadístics |
dc.contributor.group | Universitat Politècnica de Catalunya. CAP - Grup de Computació d'Altes Prestacions |
dc.identifier.doi | 10.1007/s10596-013-9380-0 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | http://link.springer.com/article/10.1007/s10596-013-9380-0 |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 12959353 |
dc.description.version | Postprint (published version) |
dc.date.lift | 10000-01-01 |
local.citation.author | Rojas, O.; Otero, B.; Castillo, J.; Day, S. |
local.citation.publicationName | Computational geosciences |
local.citation.startingPage | 1 |
local.citation.endingPage | 17 |
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