About: Transformation of spatial and perturbation derivatives of travel time at a general interface between two general media

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Description	We consider the partial derivatives of travel time with respect to both spatial coordinates and perturbation parameters. We derive the explicit equations for transforming these travel-time derivatives of arbitrary orders at a general smooth interface between two general media. The equations are applicable to both real-valued and complex-valued travel time. The equations are expressed in terms of a general Hamiltonian function and are applicable to the transformation of travel-time derivatives in both isotropic and anisotropic media. The interface is specified by an implicit equation. No local coordinates are needed for the transformation. In: Seismic Waves in Complex 3-D Structures, Report 20, pp. 103-114, Dep. Geophys., Charles Univ., Prague, 2010. We consider the partial derivatives of travel time with respect to both spatial coordinates and perturbation parameters. We derive the explicit equations for transforming these travel-time derivatives of arbitrary orders at a general smooth interface between two general media. The equations are applicable to both real-valued and complex-valued travel time. The equations are expressed in terms of a general Hamiltonian function and are applicable to the transformation of travel-time derivatives in both isotropic and anisotropic media. The interface is specified by an implicit equation. No local coordinates are needed for the transformation. In: Seismic Waves in Complex 3-D Structures, Report 20, pp. 103-114, Dep. Geophys., Charles Univ., Prague, 2010. (en)
Title	Transformation of spatial and perturbation derivatives of travel time at a general interface between two general media Transformation of spatial and perturbation derivatives of travel time at a general interface between two general media (en)
skos:prefLabel	Transformation of spatial and perturbation derivatives of travel time at a general interface between two general media Transformation of spatial and perturbation derivatives of travel time at a general interface between two general media (en)
skos:notation	RIV/00216208:11320/10:10051804!RIV11-GA0-11320___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GAP210/10/0736), Z(MSM0021620860)
http://linked.open...vai/riv/dodaniDat	2011
http://linked.open...aciTvurceVysledku	Klimeš, Luděk
http://linked.open.../riv/druhVysledku	O - Ostatní výsledky nezařaditelné do žádného z výše uvedených druhů výsledku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	293311
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/10:10051804
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	media; general; two; between; interface; general; time; travel; derivatives; perturbation; and; spatial; Transformation (en)
http://linked.open.../riv/klicoveSlovo	general spatial derivatives media time travel two between Transformation and interface perturbation
http://linked.open...ontrolniKodProRIV	[71E513B3456D]
http://linked.open...in/vavai/riv/obor	DC
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	New trends in ray methods - part 4
http://linked.open...UplatneniVysledku	2010
http://linked.open...iv/tvurceVysledku	Klimeš, Luděk
http://linked.open...n/vavai/riv/zamer	Fyzikální studium objektů a procesů ve sluneční soustavě a v astrofyzikálních systémech
http://localhost/t...ganizacniJednotka	11320

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