简介：-Thispaperdiscussestheapplicationoffractaldimensionandfractalsinoceanengineering.Tohandlesomeoceanenvironmentproblems,theexistingfractalmethod,inwhichthefractaldimensionisaconstant,canbeused.Forsomecomplicatedproblemsinoceanengineering,thispaperpresentstheconceptofthevariabledimensionfractals(D=f(r)),i.e.,thefractaldimensionDisthefunctionofcharacteristicscalerinsteadofaconstant.Byusingvariabledimensionfractals,severaldeformationandstressstatesofoffshorestructuresaredescribed.

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简介：Inthispaper,westudytherelationbetweentheenergyspectrumexponentofturbulenceandfractaldimension,andgivetwoempiricalformulas.

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简介：［1］CHEN,J.Y.,WANG,B.S.andYU,Z.Y.,1989.ProcessandevolutionarylawofcoastinChina,ShanghaiScienceandTechnologyPress,18～215.(inChinese)［2］CHEN,Y.andCHEN,L.,1998.Fractalgeometry,Beijing,SeismologicalPress,54～59.(inChinese)［3］CHENG,Y.C.,LeeP.J.andLeeT.Y.,1999.Self-similaritydimensionsoftheTaiwanislandlandscape,ComputersandGeosciences,25(9):1043～1050.［4］EditorialBoard,1992.TheatlasofSatelliteimagesofChina,Beijing,SciencePress,1～4.(inChinese)［5］FENG,J.L.andZHENG,L.,1997.Analysisofthegeologicalsignificanceoffractaldimensionofcoastline,Marinegeologyandquaternarygeology,17(1):45～51.(inChinese)［6］JIANG,J.W.andPlotnick,R.E.,1998.FractalanalysisofthecomplexityofUnitedStatescoastlines,MathematicalGeology,30(5):535～546.［7］Mandelbrot,B.B.,1967.HowlongisthecoastlineofBritish?Statisticalself-similarityandfractionaldimension,Science,156(3775):636～638.［8］Phililps,J.D.,1986.Spatialanalysisofshorelineerosion,DelawareBay,NewJerrey,Ann.Am.Geographer,76(1):50～62.

简介：这研究从分数维的几何学的观点探索强烈地震地面运动的不规则和复杂性，并且与扎根的运动的频率内容构造一种关系。数盒子的分数维的尺寸和近差错的地面运动从的五个代表性的时期参数假装聪明并且Northridge地震计算、比较。数字结果显示地面运动的加速和速度时间历史介绍统计分数维的性质，和近差错的地面运动的主导的脉搏在他们的盒子尺寸和时期上有重要影响。进一步，近差错的冲动的地面运动的平均盒子尺寸更小，并且他们波浪形式的不规则的度更低。而且，地面运动的盒子尺寸反映他们的频率性质到大程度，和罐头被认为是其他的指示物代表他们的频率内容。最后，加速历史的盒子尺寸D与吝啬的时期Tm显示出更加否定的关联。同时，速度历史Dvel的盒子尺寸否定地与典型时期Tc被相关并且改进了典型时期T官方补给。

简介：Themeasuredprofilesoflaboratoryfracturedrocksshouldbeself-affinefractal.Thescalingpropertiesoftheseprofilesaredescribedbytwoparameters-thefractaldimensionDandthecrossoverlengthtcTheDvaluesofeightprofilesarecalculatedbytherulermethodandbythestandarddeviationmethodrespectively.Itisshownthatiftcisfargreaterthanthesamplingsteptctwomethodsyieldthesameresults,althoughifitisfarsmallerthanr,theDbythestandardmethodwillbeabout1.20,whileDbytherulermethodwillverycloseto1.0,becausetwofractaldimensions,localandglobal,existontwosidesoftcInordertoobtainthelocalfractaldimensionwhichmaybeclosetothatofthestandarddeviationmethod,therulermethodmustbemodified.Weproposeawaytoestimatethetcandtomodifytherulermethod.Finally,aprofilehavinggivenDisgeneratedintermsoftheprincipleofnon-integerorderdifferential,throughwhichtheabovetwomethodsareverifiedandleadtothesameres

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简介：在岩石中的Pb~(2+)的吸附动力学用离子被学习了选择电极和原子吸收分光光度计。结果证明吸附过程是像分数维图形的反应。吸附率在30分钟前相对高，然后落下。Pb~(2+)和运动参数的浸透的吸附能力(a)(b，高山哈，D和k)与增加Pb~(2+)的起始的集中增加了。这些参数(除了一)当Na+在答案是在场的时，减少了。而且，岩石在粒子大小越小，这些运动参数将是越多bigger，不过参数一是几乎不变的。

简介：ThedistributionpatternsofmangroveBruguieragvmnorrhizapopulationsinsouthernChinaareanalyzedusingthebox-countingmethodoffractaltheory.ThepatternsofB.gymnorrhizapopulationscouldbethoughtofasfractalsastheyexhibitself-similaritywithintherangeofscaleconsidered.Theirfractaldimensionsarenotintegerbutfractional,rangingfrom1.04to1.51.Theunoccupieddimensionschangefrom0.49to0.96.Thecombinedconditionsofpopulationdensity,patterntypeandaggregationintensitytogetherinfluencethevaluesoffractaldimensionsofpatterns.Theboxcountingisausefulandefficientmethodtoinvestigatethecomplexityofpatterns.Fractaldimensionmaybeamostdesirableandappropriateindexforquantifyingthehorizontalspatialmicrostructureandfractalbehaviorsofpatternsoveracertainrangeofscales.

简介：Thestudyarealiesinthesubaqueousdelta,whichcameintobeingin1964～1976.Oneoil-fieldroadhasbeenbuiltforexploringpetroleumtoformawavebarrier.Thehydrodynamicconditionsonthenorthsideoftheroadarerelativelyviolent,onthecontrarythehydrodynamicconditionsonthesouthsideoftheroadarenearlyplacid.Thismakesthestudyareaanaturallaboratoryforstudyingtheinfluenceofthehydrodynamicconditionsonthefractalcharacteristicsofthetidalflat.SelectinganareaisnamedCaseⅠonthesideofstrongerhydrodynamicactivitiesandanareaisnamedCaseⅡontheotherside.Measuringthetopographyandsamplingandanalyzingthegranulometricalcomposition,itisfoundthatthehydrodynamicconditionshavefatalinfluenceonthesurfacefractaldimensionsandthegranulometricalfractaldimensionsofthearea.InCaseⅠ,whichhasstronghydrodynamicconditions,thesurfacefractaldimensionsareobviouslylargerthanthoseofCaseⅡ,andthegranulometricalfractaldimensionsarerelativelysmallerthanthoseofCaseⅡ,thesurfacefractaldimensionsofCaseⅠdecreasequicklywiththeincreaseofgridsize;thegranulometricalfractaldimensionsaredisperse,whilethehydrodynamicconditionsofCaseⅡarejustreverse.Asamplinglineandacoresamplingoneachsideoftheroadareselected.Itisfoundthatonthesouthsideoftheroadthegranulometricalfractaldimensionsvaryregularlyinthelineandwiththedepth,thefartherapartfromtheroad,thesmallerthefractaldimensions,andthedeeperthesamplingpositionthelargerthefractaldimensions,whilegranulometricalfractaldimensionsonthenorthsideoftheroadhavenosuchregularitypattern.Themechanismoftheinfluenceofthehydrodynamicconditionsonthefractalcharacteristicsisdiscussed.

简介：TheprobabilityoffractaldeterminationofcoastaltypesbasedonGISispreliminarilydiscussedwithChinaasanexample.Finally,somesignificantconclusionsaredrawn:(1)Thefractaldimensionofcoastlineofthebedrockcoastislargerthanthatoftheplaincoastonthesamescalemap;(2)Asfarasthebedrockcoastisconcerned,thelargerfractaldimensionofcoastlineofthebedrockcoastonthesamescalemapindicatesthatthebedrockcoastisprobablynottypical;(3)Asfarastheplaincoastisconcerned,thesmallerfractaldimensionofcoastlineoftheplaincoastonthesamescalemapindicatesthatitisprobablythesiltplaincoast;(4)Thedifferentsubstantialcompositionsaffectthefractaldimensionsofcoastlinesofdifferentcoastaltypes.Ingeneral,thecoastwhichliesinthenorthoftheHangzhouBayconsistsofsandmainly,itssurfaceisflat,anditisconnectedwiththecoastalplain,itslandformisbroadshoal,itstotalchangeiscomparativelyhomogenousinthetidaldynamicprocess,andthus,therelativelysmallerfractaldimensionofcoastlineresultsfromthis.Forthebedrockcoast,thereismorebedrock,thecoastlineiscomparativelysmoothandstraight,beingaffectedbythefaultsandoceandynamicprocess,whichresultinthelargerfractaldimension.

简介：分数维的地理地图数据处理的一些理论问题被讨论，发展，比较并且估计关于分数维的尺寸介绍的一些新方法在这篇论文被建议并且。

简介：Evaluationofthesound-structureinteractionisimportantforeffectivecontrolofnoiseandvibrationinstructuralacousticsystems.Crackedelasticstructure-soundinteractionproblemsarestudiedbyemployingthehybridfractalFEMandBEM.ThedegreesoffreedomofthesystemcanbereducedgreatlythroughadoptingfractalFEMindiscretizingthecrackedelasticstructure;whiletheexterioracousticfieldiscalculatedbyBEM,whichautomaticallysatisfiesSommerfeld'sradiationcondition.Numericalexamplesaregivenandshowthattheresonantfrequenciesofthestructure-acousticcoupledsystemdecreaseasthedepthofthecrackincreases,andthatthecrackhasasignificanteffectontheacousticalfieldinthevicinityofthecracktip.

简介：Basedonananalysisofthefractalstructuresandmasstransportmechanismoftypicalshear-fluid-oreformationsystem,thefractaldispersiontheoryofthefluidsystemwasusedinthedynamicstudyoftheoreformationsystem.Themodelofpoint-sourcediffusiveilluviationoftheshear-fluid-oreformationsystemwasconstructed,andthenumericalsimulationofdynamicsoftheoreformationsystemwasfinished.Theresultshowsthat:(1)Themetallogenicsystemhavenestedfractalstructure.Differentfractaldimensionvaluesindifferentsystemsshowunbalanceandinhomogeneityofore-formingprocessesinthegeohistory.Itisanimportantparametertosymbolizetheprocessofremobilizationandaccumulationofore-formingmaterials.Alsoitcanindicatethedynamicsofthemetallogenicsystemquantitativelytosomeextent.(2)Inessence,thefractaldispersiveore-formingdynamicsisacombinationofmulti-processesdominatedbyfluiddynamicsandsupplementedbymoleculedispersioninfluidsandfluid-rockinteraction.Itchangescomponentsandphysico-chemicalpropertiesofprimaryrocksandfluids,favouringdepositionandmineralizationofore-formingmaterials.(3)Goldore-formingprocessesindifferenttypesofshearzonesarequitedifferent.(1)Inametallogenicsystemwithinhomogeneousvolumetricchangeandinhomogeneousshear,mineralizationoccursinstructuralbarriersinthecentreofashearzoneandingeochemicalbarriersintheshearzonenearitsboundaries.Butthereislittlepossibilityofmineralizationoutoftheshearzone.(2)Astoametallogenicsystemwithinhomogeneousvolumetricchangeandsimpleshear,mineralizationmayoccuronlyinstructuralbarriersnearthecentreoftheshearzone.(3)Inametallogenicsystemwithhomogeneousvolumetricchangeandinhomogeneousshear,mineralizationmayoccuringeochemicalbarriersbothwithinandoutoftheshearzone.

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简介：ThefractalcharacteristicsofthecanopystructureofB.gvmnorrhizapopulationareinvestigatedbyfractaldimensionanalysisintheNationalShankouMangroveNatureReserve.The3-year-oldbrancheshaveboxdimensionsbetween1.22and1.55,showingthecomplexitydegreeofbranchingstructureandtheabilityofoccupyingandutilizingecologicalspace.ItmaybeconsideredthatfractaldimensionprovidesausefulindexforthestudyoflightutilizationefficienciesandgrowthprocessesofB.gymnorrhiza.Calculatedbyusingthetwo-surfacemethod,thefractaldimensionsforthecrownpatternofindividualswithagesof20to50yearsrangefrom2.21to2.54,indicatingthatthefillingdegreeoffoliagetoatreecrownisrelativelylowandB.gymnorrhizahasthepropertyofasunplant.Alongwiththeincreaseofagesofindividuals,thefillingdegreeoffoliagetoatreecrownchangesfromhightolow,andsodoesthefractaldimension.Theboxdimensionsobtainedfromthegrayscalecurvesofpopulationcanopyarebetween1.47and1.61.Thegreatertheboxdimension,themorelooselyorganizedthecanopyspatialstructure,andthemorethelightspots.Thecanopystructuralinformationandcomplexityofapopulationcanbeeffectivelycapturedbyboxdimensionsobtainedfromcanopygrayscalecurves.

简介：ＡｍｏｄｅｌｏｆｓｅｉｓｍｉｃｉｔｙｗｉｔｈｆｒａｃｔａｌｓｔｒｕｃｔｕｒｅｓａｎｄａｐｒｅｌｉｍｉｎａｒｙｄｉｓｃｕｓｓｉｏｎｏｎｔｈｅｒｅｌａｔｉｏｂｅｔｗｅｅｎＤａｎｄｂｖａｌｕｅＨａｔ－ＫｕｎＪＩＡＮＧ（蒋海昆）ａｎｄＳｈｏｕ－ＺｈｏｎｇＤＩ...

简介：Ｓｅｌｆ－ａｆｆｉｎｅｆｒａｃｔａｌｆｅａｔｕｒｅｓｏｆｅａｒｔｈｑｕａｋｅｔｉｍｅｓｅｒｉｅｓｂｅｆｏｒｅａｎｄａｆｔｅｒｍｏｄｅｒａｔｅｅａｒｔｈｑｕａｋｅｓＣｈａｎｇ－ＨａｔＬＩＵ（刘长海），Ｙｉ－ＧａｏＬＩＵ（刘义高）ａｎｄＪｕｎＺＨＡＮＧ（...