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1、TheoryofPropagationofElasticWavesinaFluid-SaturatedPorousSolid.II.HigherFrequencyRangeM.A.BIOTReprintedfromTHEJOURNALOFTHEACOUSTICALSOCIETYOFAMERICA,Vol.28,No.2,pp.179-191,March,19.56ReprintedfromTHEJOURNALOFTHEACOUSTICALSOCIETYOFAMERICA,Vol.28,No.2,179-191,March,1956Copyright,1956bytheAcoustical&xi
2、&yofAmerica.PrintedinU.S.A.TheoryofPropagationofElasticWavesinaFluid-SaturatedPorousSolid.II.HigherFrequencyRangeM.A.BIOT*ShellDevelopmentCompany,RCABuilding,NewYork,NewYork(ReceivedSeptember1,195.5)ThetheoryofpropagationofstresswavesinaporouselasticsoliddevelopedinPartIforthelow-frequencyrangeisext
3、endedtohigherfrequencies.ThebreakdownofPoiseuilleflowbeyondthecriticalfrequencyisdiscussedforporesofflatandcircularshapes.AsinPartItheemphasisofthetreatmentisoncaseswherefluidandsolidsareofcomparabledensities.DispersioncurvesforphaseandgroupvelocitiesalongwithattenuationfactorsareplottedDWSUSfrequen
4、cyfortherotationalandthetwodilationalwavesandforsixnumericalcombinationsofthecharacteristicparametersoftheporoussystems.Asymptoticbehaviorathighfrequencyisalsodiscussed.1.INTRODUCTIONevaluatedbycalculatingphasevelocityandattenua-PREVIOUSpaperdealingwiththesubjectoftionforatypicalcase.Apropagationofe
5、lasticwavesinafluidsaturatedThepropagationofdilatationalwavesisdiscussedinporoussolidwasrestrictedtothelow-frequencyrange.Sec.6.Groupvelocity,phasevelocity,andattenuationcurvesareplottedforsixnumericalcombinationsoftheBythisitwasmeantafrequencyrangebetweenzeroandacertainvaluebeyondwhichtheassumption
6、ofparameters.Therearetwotypesofsuchwaves,desig-natedaswavesofthefirstandsecondkind.ThelatterarePoiseuilleflowbrokedown.Thepurposeofthispaperistoextendthetheorytothefullfrequencyrangecharacterizedbyhighattenuation.Aninterestingplotisthatoftheattenuationpercycle.Boththerotationalwithoutthelimitationof
7、theforegoingassumption.wavesandthewavesofthefirstkindexhibitamaxi-Thereremainshoweveranupperboundforthefre-mumvalueofthisattenuationinarangeoff/f0nearquency,namely,thatatwhichthewavelengthbecomesofthe
