A data-driven approach to local gravity field modelling using spherical radial basis functions

《A data-driven approach to local gravity field modelling using spherical radial basis functions》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。

1、JGeod(2008)82:457471DOI10.1007/s00190-007-0196-3ORIGINALARTICLEAdata-drivenapproachtolocalgravityfieldmodellingusingsphericalradialbasisfunctionsR.Klees·R.Tenzer·I.Prutkin·T.WittwerReceived:18April2007/Accepted:1November2007/Publishedonline:2February2008©TheAutho

2、r(s)2008AbstractWeproposeamethodologyforlocalgravityfieldindependentGPS-levellingcontrolpoints,confirmsthatourmodellingfromgravitydatausingsphericalradialbasisfunc-solutionisinnowayinferiortoNLGEO2004.tions.Themethodologycomprisestwosteps:instep1,grav-itydata(grav

3、ityanomaliesand/orgravitydisturbances)areKeywordsLocalgravityfieldmodelling·Sphericalradialusedtoestimatethedisturbingpotentialusingleast-squaresbasisfunctions·GPS-levellingdata·Quasi-geoidtechniques.Thelatterisrepresentedasalinearcombinationofsphericalradialbasi

4、sfunctions(SRBFs).Adata-adaptivestrategyisusedtoselecttheoptimalnumber,location,anddepthsoftheSRBFsusinggeneralizedcrossvalidation.1IntroductionVariancecomponentestimationisusedtodeterminetheopti-malregularizationparameterandtoproperlyweightthedif-Sphericalradia

5、lbasisfunctions(SRBFs)arebeingusedferentdatasets.Inthesecondstep,thegravimetricheightextensivelyingravityfieldmodelling.Examplesaretheanomaliesarecombinedwithobserveddifferencesbetweenpoint-masskernel(e.g.Heikkinen1981;Barthelmes1986,globalpositioningsystem(GPS)e

6、llipsoidalheightsandnor-1988;Vermeer1982,1983,1984,1995),theradialmultipolesmalheights.Thedatacombinationiswrittenasthesolutionof(e.g.Marchenko1998;Marchenkoetal.2001),theBlack-aCauchyboundary-valueproblemfortheLaplaceequation.manfunctionsofBlackmanandTukey(1958

7、)(Schmidtetal.Thisallowsremovalofthenon-uniquenessoftheproblemof2004,2005a,2007),andthePoissonwaveletsofHolschnei-localgravityfieldmodellingfromterrestrialgravitydata.Atderetal.(2003)(e.g.Chambodutetal.2005;Panetetal.thesametime,existingsystematicdistortionsinthe

8、gravi-2006;KleesandWittwer2007b),seealsoHolschneiderandmetricandgeometricheightanomaliesarealsoabsorbedintoIglewska-Nowak(2007).OtherexamplesincludetheDiracthecombina