摘要
Scatteringattenuationinshortwavelengthshaslongbeeninterestingtogeophysicists.Ultrasoniccodawaves,observedasthetailportionofultrasonicwavetrainsinlaboratoryultrasonicmeasurements,areimportantforsuchstudieswhereultrasonicwavesinteractwithsmallscalerandomheterogeneitiesonascaleofmicrometers,butoftenignoredasnoisesbecauseofthecontaminationofboundaryreflectionsfromthesideendsofasamplecore.Numericalsimulationswithaccurateabsorbingboundarycanprovideinsightintotheeffectofboundaryreflectionsoncodawavesinlaboratoryexperiments.Thesimulationofwavepropagationindigitalandheterogeneousporouscoresreallychallengesnumericaltechniquesbydigitalimageofporoelasticproperties,numericaldispersionathighfrequencyandstrongheterogeneity,andaccurateabsorbingboundaryschemesatgrazingincidence.Toovercomethesedifficulties,wepresentastaggered-gridhigh-orderfinite-difference(FD)methodofBiot’sporoelasticequations,withanarbitraryeven-order(2L)accuracytosimulateultrasonicwavepropagationindigitalporouscoreswithstrongheterogeneity.Anunsplitconvolutionalperfectlymatchedlayer(CPML)absorbingboundary,whichimprovesconventionalPMLmethodsatgrazingincidencewithlessmemoryandbettercomputationalefficiency,isemployedinthesimulationtoinvestigatetheinfluenceofboundaryreflectionsonultrasoniccodawaves.Numericalexperimentswithsaturatedporoelasticmediademonstratethatthe2LFDschemewiththeCPMLforultrasonicwavepropagationsignificantlyimprovesstabilityconditionsatstrongheterogeneityandabsorbingperformanceatgrazingincidence.TheboundaryreflectionsfromtheartificialboundarysurroundingthedigitalcoredecayfastwiththeincreaseofCPMLthicknesses,almostdisappearingattheCPMLthicknessof15grids.ComparisonsoftheresultingultrasoniccodaQscvaluesbetweenthenumericalandexperimentalultrasonicSwaveformsforacylindricalrocksampledemonstratethatthe
出版日期
2014年03月13日（中国期刊网平台首次上网日期，不代表论文的发表时间）
