变异函数在异常空间插值中的应用

:10045589(2007)030298061,2,3,411,130026;21,100085;31,100037;41,100083:,,,,01103221112019841,():;;:P62217:A:2006211206;:2007205229ApplicationofvariogramininterplationofabnormalspaceCHENGXu1,YANGYi2heng2,DINGJian2hua3,LINan41.InstituteofMineralResourcesAppraisalofSyntheticInformation,JilinUniversity,Changchun130026,China;2.BeijingInformationScience&TechnologyUniversity,Beijing100085,China;3.InstituteofMineralResources,CAGS,Beijing100037,China;4.SchoolofInformationEngineering,ChinaUniversityofGeosciences,Beijing100083,ChinaAbstract:Aimingatsolvingtheinterfereofabnormaldataduringgeologicdatainterpretationindataspaceconstructionbasedoncovariancemathematictheory,theauthorsputforwardamethodtodefinespacedatadis2tributionvariogram,anddiscusseditsseekingprocedure.BydisposinggeochemicaldataofstreamsedimentinBeikebeachofXinjiang,themeanvalueofpredictionerroris011032;averagestandarddeviationis21112;standardmean2squaredeviationis019841.Itislittleinerrorbetweenthepredictedvalueandmeasuredvaluesofthesamples.Thedefinedspatialdataandtheexistingdeposit(orespot)arematchedwellindistributions.Keywords:variogram;aingularityspace;abnormalpoint0,,,,,,,,,,,26320079GLOBALGEOLOGYVol126No13Sep12007,,,1,111Z(x)Z(x+h),:1/2Var[Z(x+h)-Z(x)]=1/2E[Z(x+h)-Z(x)]2-1/2{E[Z(x+h)-Z(x)]}2(1)[1](1),RFZ(x)0,E[Z(x+h)-Z(x)]=0;(Px,x+hG)(2),,x,hR(h)=1/2Var[Z(x+h)-Z(x)]=1/2E[Z(x+h)-Z(x)]2;,,,:(1)R(h)=0(h=0);(2)R(h)=R(-h);(3)R(h)=0(0)[2];(4)h,E{[Z(x)-Z(x+h)]2},,R(h)[3];(5)[-R(h)],-R(h),,i=0,[-R(h)][4]1124,(sill)(range)(nugget)(FractalDimension),1h=0,R(h)=C0,,,;R(h)h,,(C0+C),;R(h)a,,Z(x);dR(h)h:2R(h)=h(4-2d),[5],d,,113,(:),:(1),ada[ada]ada1/4(2)[kh(h)](k,(h)),[ada][kh(h)]X0akh(),,,()(),,Z(X),,,,hR3(h)(2):R3(h)=R3(|h|)=R3(sqrt(h2x+h2y))(2)9923:u1,,un,,::(1),m;(2),n,;(3),k;(4)varg[m][k][n](),number[m][n](),vargnumber0;(5),(n-1),,k(1),varg,number1;(6)5;(7)vargnumber,:(1);(2),m;(3)L,n;(4),k;(5)varg[m][k][n](),number[m][n](),vargnumber0;(6);(7);(8),,9;,7;(9)n,,10;,7;(10)(1)k,varg,number1;(11)610;(12)Vargnumber,varg114,,,,,,,,,:,,,,2,,,,(1),H,Y,C,C+C(2),H,Y,,,,,211,,45135,45,3031333m,2504550m,1250,,1(),H,Y,(3),2123(H,003261Fig11Chartofvariogram2Fig12Dispersepointchartofvariogram345,135Fig13Chartofexperimentalvariogramfor45and135degreesY):,,(1)X2/3,45,380,1160,480,,,213345135135a245a1,K=a2/a1=3460/1160=21982A=100219821033:1Table1ValueofexperimentalvariogramH/m(45)(135)5008116132201521000193-92107-1081231500951121016520006720156291852500155-82185-88109300092-26136-25149350079-15168-13156(4),(2):(Z3-Z)2=16135,(Z3-Z)2/(S3)=4153,Mean=011032,Root-Mean-Square=2018,AverageStandardError=21112,MeanStandard=01004729,Root-Mean-SquareStandardied=019841,,2Table2Crossvalidatepanel81109911718117018511011931085111-107189-5117219195109514901490102-013067109512828128113711991551068191-86109-4117-2155921067168-24132-1117-1123791066148-12152-0161-0185421062184201841101113654105612821280111-0116445Fig14Chartofvariogramcombination45degreeindirection3:(1),,;(2)(1)X2/3,,(3)Mean=011032,Root-Mean-Square=2018,AverageStandardError=21112,20326MeanStandard=01004729,Root-Mean-SquareStandardied=019841,:,,,:[1],.[J].,2002(3):1202126.YANHui,ZHANGXue2gong.Theparameterestimationonestimationofrbfkernelfunctionbasedonvariogram[J].ActaAutomaticaSinica,2002(3):1202126.[2].[M].:,1990:38239.SUNHong2quan.Geostatisticsanditsapplication[M].Beijing:ChinaUniversityofMining&TechnologyPress,1990:38239.[3],.[M].:,1993:86287.HOUJing2ru,HUANGJing2xian.Geostatisticstheoryandmothod[M].Beijing:MetallurgyIndustryPublish2ingHouse,1993:86287.[4],.[J].,1993,7(3):63265.WANGJia2hua,GAOHai2yu.Linearitycombinationoflinearitykrigingandpairmodel[J].JournalofXianPetroleumInstitute,1993,7(3):63265.[5],,.[J].,2004,8(2):2052207.HANYan,XIALi2xian,XIAOKe2yan.Dualmodelofuniversalcokriging[J].ProgressinGeophysics,2004,8(2):2052207.(297)BAOJing2xin,CHENYan2jing,ZHANGZeng2jie,etal.ThepreliminarystudyoflaumontitizationofAxigoldde2positandpalaeogeothermalminerogeneticfluidsysteminwestTianshan[J].ActaScientiarumNaturaliumUni2versitatisPekinensis,2002,38(2):2522259.[5],,.[J].,2005,32(3):37244.YANGXiao2ping,ZHANGBao2min,TAOShi2zhen.LaumontiteanditssignificanceforpetroleumexplorationinJurassicShaximiaoreservoir,SichuanBasin[J].PetroleumExplorationandDevelopment,2005,32(3):37244.[6].[J].,1996,42(3):2152223.LIUYi2qun.Theboundarybetweendiagenesisandmeta2morphismadiscussionwithreferencetozeolitefacies[J].GeologicalReview,1996,42(3):2152223.[7],,,.[J].,2003,22(4):2872293.ZHUBing2quan,CHANGXiang2yang,HUYao2guo,etal.Geochemicalsteepzonesandresourceofmantleplumes[J].BulletinofMineralogy,PetrologyandGeochemistry,2003,22(4):2872293.[8],,.6[J].,1998,14(1):1172127.LIWen2hou,LIUYi2qun,FENGQiao.Reservoirchar2acteristicsandhydrocarbonaccumulationregularityofthechang6oil2bearingbedsintheChuankouoilfield,ShanxiProvince[J].ActaPetrologicaSinica,1998,14(1):1172127.[9].[M].:,2000:13.WANGDa2rui.Oilandgasstableisotopegeochemistry[M].Beijing:PetroleumIndustryPress,2000:13.[10],,,.6[J].,2004,34(4):6252635.ZHANGJin2liang,LINHui,SIXue2qiang,etal.Dia2genesisofChang26re