Poroelastic finite-difference modeling for ultrasonic waves in digital porous cores

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    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
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    出处 《地震学报:英文版》 2014年3期
    出版日期 2014年03月13日(中国Betway体育网页登陆平台首次上网日期,不代表论文的发表时间)
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