ֻ29जֻ2௹煤Vol 29,No 02 炭 技 术 2010୍2ᄅ CoaFeb,2010lTechnology基于变异函数的三维矿体结构分析及应用李晓利,谢玉玲,陈 伟(Кࣘ॓ն࿐ଡ۽ӱ࿐ჽ,Кࣘ100083)ᅋ ေ:๙ݖؓთ߄эਈބэၳݦඔࠣఃۿି֥ࢺക,ၛSurpacೈࡱ༢ູ,ؓଖࣁඋঀ֥ൌ࠽ඔऌࣉྛਔ࠹ٳ༅aൌဒэၳݦඔ֥࠹ෘބંэၳݦඔ֥ކ,ࢣൕԛঀุ֥ঀ߄หᆘ,ູު࿃ाฐބთ߄эਈܙᆴิ܂ඌᆦӪbܱՍ:თ߄эਈ;эၳݦඔ;Surpacೈࡱᇏٳোݼ:TD15 ໓ངѓ്:A ໓ᅣщݼ:1008-8725(2010)02-0134-04Three-DimensionalMineFrameworkAnalysisandApplicationBasedonVariogramLIXiao-li,XIEYu-ling,CHENWei(Civil&EnvironmentalEngineeringSchool,BeijingUniversityofScienceandTechnology,Beijing100083,China)Abstract:BasedonSurpacsoftware,regionalizedvariableandvariogramincludeitsaction,thepracticaldataofcertainmetalminehasbeenexplainedinthispaper Whiletheexperimentvariogramcalculationionandthe oryvariogramcombinationofametalminemineralizationcharacteristichasbeenshowed Thecaseindicatesitistechniquesustentationafterwardexploreandvariableestimate Keywords:regionalizedvariable;variogram;surpacsoftware0 引言ॢࡗٳ҃ഈऎႵෛࠏྟႻऎႵࢲܒྟ֥ሱಖགྷའ֥॓࿐[1-3]bэၳݦඔቔֹູᇉ࠹࿐֥ࠎЧ۽ऎ,ֹᇉ࠹࿐൞ၛთ߄эਈંູࠎԤ,ၛэႵᇹႿਔࢳთ߄эਈ֥э߄หᆘބࢲܒྟሑ,ႮၳݦඔູࠎЧ۽ऎ,ၛक़৫۬مູࠎЧٚم,࣮ᄝႿ҂თ߄эਈหྟ҂၂ဢ,طၘᆩ֥ඔऌཌྷ఼ؓ؇ި؇ࡆಃᆴ(L)aቇ।(െ)િҪި؇э߄ੱҕॉ໓ང:[1] ࿏༟Ӯ.િঀཬֹᇉܒᄯࡎၰ[J].ঀֹࣝᇉ,1993,(1):(I)ބെཬ؎Ҫૡ؇(R)֩6۱ࡹଆყҩᆷѓ,ቋᇔൌགྷਔໃҐֹᇉܒᄯ֥ߧࡹଆყҩb38-43.[2] ള.ঀֹࣝᇉ࿐[M].Кࣘ:િฒ۽ြԛϱഠ,[3] К.ଡඎિঀֹᇉܒᄯหᆘٳ༅[J].િฒඌ,2007,26 结论(1):111-114.ၛ؎ҪaᯂᇤaҪࡗ߁ܒᄯؿტ֥ဋെિ[4] ྷڌၿ.ঀࣝܒᄯקਈࡎაყҩ[J].િฒ࿐Б,1991,(4):93ঀູ২-10,๙ݖિঀֹᇉܒᄯหᆘaܿੰaྙӮࠏ1.֥༢ٳ༅[5] ລࠝਟ,ࡻѯ,ဲ,֩.Дિঀঀࣝܒᄯگᄖӱ؇ࡎ,ࡹ৫ਔ၂ᆜสֹᇉܒᄯሸކࡎაყҩᆷѓุ༢bఃᇏ,ࣜ࠶ඌᆷѓ2۱,ܒᄯࡎ[J].ᇏݓિฒֹᇉ,2008,20(10):80-83.ᆷѓ[6] ઔቃഠ.ࠎႿGIS֥િঀܒᄯگᄖӱ؇קਈࡎ࣮აႋႨ8۱,ߧࡹଆყҩᆷѓ9۱bҐႨߧܱ৳[J].િฒඌ,2007,26(4):112-115.ٳ༅ބᇯ݂҄߭ٳ༅ؓᆃ19۱ࡎᆷѓࣉྛਔᇆ[7] ਾზਟ.ٳྙંᄝࠉਟފિโܒᄯگᄖӱ؇ࡎᇏ֥ႋႨି߄ೱ࿊,ቋᇔႪ࿊ԛ5۱ܒᄯࡎᆷѓބ6۱ࡹ[J].િฒඌ,2004,23(11):91-93.ଆყҩᆷѓ[8] ᅦႥ,ޱЏਟ,ಆ,֩.ࠎႿGISֹ֥ᇉܒᄯگᄖӱ؇ሸކ,ѩ࠹ෘਔ۲ᆷѓ֥ಃᇗᆴb࣮ࢲݔॖᆰࢤڛༀႿު࿃િঀܒᄯקਈࡎaყҩ۽ቔࡎ[J].િโֹᇉაाฐ,2006,34(3):16-19.(责任编辑 徐艳杰)(ೈࡱ༢)b൬۠ರ௹:2009-07-20;ྩרರ௹:2009-12-25ࠎࣁཛଢ: ၂ ݓࡅ॓ᆦӪ࠹߃ཛଢ(2006BAB01A04)ቔᆀࡥࢺ:ཫ০(1972-),୯,ފଲઌဝದ,Кࣘ॓ն࿐ঀֹᇉ۽ӱህြ,Ѱൖᄝ,E-mail:guojiauu@163 comb
ֻ2௹ 李晓利,等:基于变异函数的三维矿体结构分析及应用 ∀135∀ Ⴟᆜ۱ঀ,ุඔऌਈႵཋ,эၳݦඔ֥ቋႪކ໙ี,֤֞ཌྷܱҕඔ,ѩࣉྛဒᆣ,ؓડቀေ֥ҕඔ,္൞ྸ؟ದ࣮ބฐษ֥ᇗေ໙ี[4],ෛሢֹᇉࣉྛ༯၂҄Ҡቔ,эၳݦඔކ֥ൌགྷݖӱೂ1࠹ં֥ؿᅚ,ԛགྷਔ၌Ԯෘم[5],ࡆಃ؟ཛൔ݂߭෮ൕ:م,ཌྟܿ߃م,ሱކم֩؟ᇕކٚم[6],ᆃུٚمᄝ҂ၘᆩ่ࡱ༯۲ႵႪ൝,Ч໓๙ݖؓთ߄эਈބэၳݦඔࢺക,ࠎႿଖঀุ֥ൌဒэၳݦඔ࠹ෘ,ކંэၳݦඔҕඔ,ૼಒඔऌॢࡗٳ҃ሑ,ᅚགྷਔॢࡗэਈ֥ၳӈหᆘ,ࢣൕھঀุ֥ົঀุࢲܒྟሑ,ູሙಒ໊ܙᆴԥਈ࠹ෘิ܂Ќᅰb1 基本原理1 1 თ߄эਈэਈӯॢࡗٳ҃ൈ,ӫᆭູთ߄эਈ,ॢࡗэਈّ႘ଖᇕঀ߄หᆘ,ቋᇗေ֥หྟ൞:ෛࠏྟބࢲܒྟ,ཌྷܱྟ၇ঠႿэਈ֥หᆘބ2ׄࡗ֥ए,ᄝ၂קٓຶଽႵཌྷܱ,ྟӑԛଖ၂ٓຶэਈ҂ᄜऎႵཌྷܱྟb1 эၳݦඔކੀӱ(1)൬ࠢᆜჰඔऌbჰඔऌ֥ປᆜྟaሙ1 2 эၳݦඔэၳݦඔ൞Ⴈট૭ඍთ߄эਈ֥ཌྷܱӱ؇ಒྟ൞ᆰࢤܱ༢ൌุଆ֥ଆིݔ,ؓჰඔऌ,эၳݦඔקၬູ၂ٚཟx,ཌྷएh֥2۱თ߄ࣉྛ൬ࠢaٳোaᆜ൞ࣉྛঀุࢲܒٳ༅֥ࠎԤ,эਈֹؓᇉྐ༏টඪ,ඔऌᇶေᆷ۽ӱҩਈඔऌaဢٳZ(X)ބZ(X+h)ᄹਈ֥֥ٚ၂϶,эၳݦඔ֥࠹ෘ܄ൔ൞༅߄ဒඔऌaྟඔऌb:N(h)(2)ٳ༅ླࡹ৫֥ඔऌ९ބіሳ؍bඔऌ९Ⴕ 12(x,h)=[Z(x)-Z(x+h)]2N(h!҂֥іބۄሳ؍ܒӮ,ᆃུіބሳ؍сྶა)i=1ൌ࠽֥ඔऌ,۲іᆭࡗଽಸഈ൞৫,֥આࠠ(1)Nഈ൞ཌྷܱ৳,֥۲ඔऌі๙ݖหק֥ሳ؍৳ࢤb(h)൞Фཟਈhཌྷۯ֥൫ဒඔऌ֥ؓඔଢ,hູᇌުएb(3)ԷࡹඔऌіbЧ໓эၳݦඔ֥ކ,ᄝsur эၳݦඔऎႵၛ༯ۿି[7-9]pacೈࡱᇏൌགྷ,ࡹ৫ൡކsurpacೈࡱࢤ൬֥ txtࠇ: csv໓ࡱ۬ൔ,۲ඔऌі๙ݖቇ।ݼཌྷܱb(1)๙ݖ эӱ ّႋთ߄эਈ֥႕ཙٓ,ຶᄝၛ эӱ ູ϶֥ࣥٓຶଽ,ඔऌऎႵཌྷܱ(4)࿊ᄴކൡ֥თ߄эਈbთ߄эਈ൞ࣉ,ྟཌྷܱྟෛሢए֥ᄹն႕ཙӱ؇ࢆ֮bྛֹᇉ࠹ٳ༅֥ࠎԤ,თ߄эਈ֥э߄ܿੰ္൞ֹᇉܒᄯބঀ߄ቔႨّ႘,࿊౼Ⴕսіྟ֥თ(2)҂ٚཟ֥эၳݦඔّ႘ঀ߄֥۲ཟၳྟ,๙ݖٳ༅ބбࢠ҂ٚཟ֥эၳݦඔ ֥эӱ߄эਈb aॶࣁaࠎ,ॖၛಒקঀ߄ခ҂ٚཟ֥э߄หׄb(5)ඔऌყԩbႮႿֹᇉ࠹ေႵིඔऌсྶࡹ৫ᄝಒקဢӉ֥ᆦӪഈ,ဢᇏթᄝ֥หۚ(3)๙ݖэၳݦඔ֥࠹ෘaٳ༅,ॖၛಒקाฐຩ؇,эၳݦඔ࠹ෘູ۲ཟྟ,۴ऌ эӱ ᄵުᆴᆰࢤ႕ཙэਈ֥ٳ҃หᆘ,эၳݦඔࢲܒႵࢠ࿃֥ाฐॖ࿊ٚ۬ຩնڿэ,ܣ༵ؓႵིඔऌࣉྛ֩ဢӉ֥ቆކ,ѩؓၳ,࠹ෘࢲݔູ۲ཟၳྟ,ᄵު࿃ाฐॖ࿊ᄴइྙຩbӈᆴࣉྛԩ,۴ऌֹᇉाҰܿ,ٓหۚᆴ၂Ϯ࿊౼नᆴ֥6~8Пb2 变异函数拟合的流程(6)ඔऌ֥࠹ٳ༅bؓඔऌࣉྛࠎЧ࠹ٳэၳݦඔ֥ࢲܒඋྟ൞ު࿃ࣉྛთ߄эਈܙ༅,ဒඔऌ൞ڎડቀᆞٳ҃,ؓ҂ડቀᆞٳ҃ᆴ֥ܱ,эၳݦඔࢲܒඋྟ֥ൌགྷ൞๙ݖ҂؎ט֥ඔऌࣉྛсေ֥ؓඔэ߄ԩbֹᇉ࠹ؓთᆜᇌުए,࠹ෘൌဒэၳݦඔ,ކંэၳݦඔଆ߄эਈࣉྛ֥क़۬ٚمܙᆴൈ,ေඔऌсྶٳ
∀136∀ 煤 炭 技 术 ֻ29ज҃ڛՖᆞٳ҃ࠇඔऌࣜؓඔэ߄ުڛՖᆞٳေႵߩੳaӉࠣەোbთഈঀӁᇶေ҃bၛࣁaa᪬aํࠣளঀູᇶ,Ԣ᪬ঀԵູն(7)࠹ෘэၳݦඔbsurpacೈࡱᇏэၳݦඔ࠹ঀԵຓ,ఃनູཬঀԵaঀ,ׄଽํঀनӁԛෘ,൞๙ݖטᆜᇌުएaಸհ࢘,ೈࡱൌགྷэၳݦඔႿܞࢸࡹಕཬෳሰቆэᇉֹҪᇏbଽֹ֥ሱ࠹ෘbҪӯֆོܒᄯ,अֹ҆؍ԛགྷᯂᇤbֹҪሹุሼཟ(8)ંэၳݦඔ֥ކbэၳݦඔႵᇹႿਔ80%~83%,ౠཟКК༆,ౠ࢘ࢠ,65%~72%,ھҪ໊ࢳთ߄эਈ֥э߄หᆘࠣࢲܒྟሑ,֒קਈֹູڮঀҪ໊b૭ඍᆜ۱თหᆘൈ,Ⴕܱᆜุ֥ࢲܒหᆘླ๙ݖ3 2 ဢ֥࠹ٳ༅ؓൌဒэၳݦඔ֥ކൌགྷ,ֹᇉ࠹࿐ᇏӈႨ֥ՎՑ࣮ၛଖঀุ֥ࣁඋູ໊თ߄эਈ,ଆႵ౯ሑଆ,ۚථଆ,ᆷඔଆ,ૢݦඔଆ,༵ؓჰඔऌࣉྛᆜ,ೆsurpacඔऌ९,ࡹ৫ؓඔଆ,ᆃҐႨऎႵॶࣁིႋ֥౯ሑଆ,ఃඔົॢࡗඔऌ९,ՎՑ൬ࠢᆜ֥ቇ।ඔऌ49۱ބ࿐іղൔ:ູ4813่߄ဒඔऌ࠺,ᄝ࠹ෘэၳݦඔᆭభ,༵ؓ0ဢඔऌࣉྛࠎЧ࠹ٳ༅bၛ2mࡗۯቆކဢ3ඔऌ,ࡹ৫֩Ӊ֥ᆦӪဢӉ؇,ቆކު࠹ٳ༅ࢲ 3h1h(h)=c0+c(-) h>a2a23(2)aݔ:नᆴູ3 182,ٚҵ9 814,ѓሙҵ3 133bэၳc0+c 0<h#a༢ඔ0 985(2)bൔᇏc0∃∃∃ॶࣁӈඔ;c∃∃∃ࠎ;a∃∃∃эӱ;c0+c∃∃∃༵ဒٚҵb (9)эၳݦඔࢲܒٳ༅bЧ໓֥ࢲܒٳ༅ၛᇶٚཟ֥ॶࣁӈඔaࠎᆴູᇶ,༵࿊ᄴᇶٚཟ֥ቋႪൌဒэၳݦඔ,ᄜؓਸ਼2۱ٚཟഈ֥ൌဒэၳݦඔࣉྛႪ߄ކ,֤֞3۱ٚཟ֥ކંэၳݦඔ,ခᇠิ౼эҵ֥ᆴ,֤֞ဢЧ֥ࢲܒҕඔb2 ቆކဢ࠹ٳ҃ඔᆰٚ(ؓඔሇߐ)Ֆဢ֥࠹ٳ༅ࢲݔؿགྷ:໊ඔऌࣜؓඔ(10)ࢌҭဒᆣbࢌҭဒᆣჰ൞Ϝ҆ٳൌҩׄഈ֥ܴҩᆴაႨၘ࿊ԛ֥ࢲܒଆ࠹ෘԛ֥ܙ࠹ᆴሇߐުࠎЧڛՖؓඔᆞٳ,҃აࣁඋঀԵٳ֥҃ࣉྛбࢠ,ೂݔ༂ҵ֥नᆴႿਬٚҵбࢠཬ၂Ϯܿੰཌྷژކb,෮֤֞ࢲܒҕඔડቀေb3 3 ห໊ۚԩ၂Ϯಪູଖུဢۚԛ၂Ϯ໊ޓ؟П,ӫః(11)ؓડቀေ֥ࢲܒҕඔ,ࣉྛު࿃֥თ߄эਈܙᆴbູห໊ۚ,ห໊ۚ൞ঀ߄अ҆ڶࠢӁള,֥ၹห໊֥ۚթᄝ,ؓඔऌ֥ٳ҃ࢲݔ႕ཙбࢠն,༵ؓ3 储量计算的实现及实例分析ൌဒဢඔऌࣉྛห໊ۚԩ,ؓҕა࠹ෘ֥ဢඔऌࣉྛԚ֥҄࠹ٳ༅,ંᇏห໊ۚ၂Ϯ3 1 ঀֹᇉۀঃঀնֹܒᄯԩႿКֹaଽֹᇠת؍aၛ95%֥ᇂྐ؇ԩဢ,ൌᇏູࡥ߄࠹ෘ,۴ჷऌֹᇉܿٓหۚᆴԩ၂Ϯ౼ᆴູन໊֥6~~Кௐധն؎ਚ֥КҧbთഈԛֹҪၛჷ~Кௐെಁ؎ਚູࢸb؎ਚၛКᇶေູܞࢸࡹ8П,໓ᇏ౼ᇏࡗᆴन໊֥7Пࣉྛห໊ۚಕཬෳሰቆ֥ᇏԩb~ۚࠩэᇉᄖb؎ਚၛଲᇶေູӉӬ༢նޣოቆaۚႿሌቆ,ཅ༢ဗሌቆa3 4 эၳݦඔ࠹ෘაଆቆaํቆࠣౝϢ१༢༯ઔቆ֥ฏූބൌဒэၳݦඔ൞ંэၳݦඔ֥ࠎԤ,༵ؓᇶෞ྇োbѩٳ҃ႵնӬሰࠅன,ֹᇶေֹҪູٚཟ֥ൌဒэၳݦඔࣉྛކ,၇ऌঀุ֥Ӂሑ,эᇏളࢸኾઅ༢ӬሰቆaϢᎡ༢ၬཅቆֹҪbྟၳݦඔ֥࢘ᄹਈഡູ15,ಸҵູ࢘30%,טᆜᇌުູࠅநؿބࠅෞ྇֩bࡽࠃၛႆᆦ௹ए,ކaႪ߄ંэၳݦඔ֥ଆ,၇ऌཌྷ҄ᇧ,ބဉ௹ູᇶ,ᇶေྟູࠎ~ᇏ~ූྟೆؓਸ਼2ٚཟ֥эၳݦඔࣉྛކ,֤֞ቋࡄ֥ކ,ᇶ
ֻ2௹ 李晓利,等:基于变异函数的三维矿体结构分析及应用 ∀137∀ ງ౯ุଆbކࢲݔཁൕھঀุᄝູ໊ٚౠ࢘-ඔཌഈ֥ඔᆴູ֤֞ھׄᆴᄎෘඔऌؓb۲ٚཟ39 99%,ٚཟ105ഈঀ߄৵࿃ྟቋ఼bކ֥ࠎЧҕඔೂі1෮ൕbᄝކݖӱᇏԉٳ০Ⴈభ3a4۱ඔऌׄ,ၹູі1 ᇏэၳݦඔٚཟކ֥ࠎЧҕඔభ3a4۱эၳݦඔᆴЇݣնਈ֥ඔऌؓ,၂ϮඔऌٚཟሼཟౠཟԼཟ֥ؓඔਈᄀ؟ᄀିሙಒّ֥ႋთ߄эਈ֥ॢࡗঀॶࣁ1 563 161 24߄หᆘބࢲܒྟሑ,ః֥ׄႮႿ࠹ෘ֥ᇌުए҂ࠎ7 825 860 73؎ᄹն,ෆ෬֥֞ඔऌؓཌྷؓభ3a4۱ඔऌׄࢠഒ,эӱ1246814Ⴕཬඔऌ֤֥ؓ֞эၳݦඔᆴఃսіྟཌྷؓሙಒࢆ3 5 ࢌҭဒᆣ,֮ᄝֹᇉ࠹࿐ંᇏ,თ߄эਈӑԛ၂קٓຶ֤֥ؓ֞ކҕඔࣉྛࢌҭဒᆣ,קކҕࣼ҂ऎႵॢࡗཌྷܱྟ,ၹՎ,ᄝކݖӱᇏေԉٳ০ඔᆴ࿊౼൞ڎᆞಒb০Ⴈކҕඔؓၘᆩဢ҆ٳႨൌဒэၳݦඔ֥భࠫ۱ඔऌؓb۲ٚཟ֥ކׄᇗྍܙᆴ,ܙᆴაᆇൌᆴࣉྛбࢠ,ܙ࠹ᆴაჰᆴೂ3a4a5෮ൕ:नᆴҵᄀࢤ࣍ਬ,ٚҵཌྷҵᄀཬ,ᄀିᆣૼކ֥ҕඔ֥ሙಒྟࢠۚbھ࣮ᇏࢌҭဒᆣनᆴҵູ0 0808,ٚҵູ11 6993b4 结论๙ݖؓൌဒэၳݦඔ֥࠹ෘބંэၳݦඔ֥ކ࣮,ؿགྷঀุঀ߄ᇶٚཟ֥৵࿃ྟࢠః2۱ٚཟ఼,طި؇ٚཟ֥৵࿃ྟቋbঀุӁԛ൳ֹҪ֥Ҫ॥ᇅbކэၳݦඔ҂֥ࠎބэӱ,ࢣൕھঀุջሑ֥ঀ߄ࢲܒหᆘ,ьႿঀܵ3 ሼཟٚཟ֥ൌဒэၳݦඔᆀ۷ग़ֹܴਔࢳঀԵ,ކ҃ᇂाฐຩ؇,ູު࿃໊ܙᆴ,ԥਈ࠹ෘิ܂۷ॖौ֥॓࿐၇ऌ,ࡨഒሧჷބሧࣁ֥শٮ,ิۚঀ֥ളӁིၭ,ູঀॖӻ࿃ྟषҐิ܂ඌᆦӪbҕॉ໓ང:[1] ޥࣟೀ,ݒܻღ.ঀԵ࠹ყҩֹࠣᇉ࠹࿐֥ંაႋႨ[M].Кࣘ:းࣁ۽ြԛϱഠ,1993.[2] ީࣟೀ,ߛࣩ༵.ֹᇉ࠹࿐ࠣఃᄝঀӁԥਈ࠹ෘᇏ֥ႋႨ[M].Кࣘ:ֹᇉԛϱഠ,1982.[3] ࡉૼม,ܵ.ົэၳݦඔ֥໗ࡲ࠹࿐࠹ෘٚمࠣఃႋႨ[J].ᇏଲ۽ြն࿐࿐Б,1998,10(5): ౠཟٚཟ֥ൌဒэၳݦඔ[4] ߛൂڂ,ࣁऄਅ,؍ࣉफ.ֹᇉ࠹࿐ᇏэҵݦඔܙ࠹֥ྍٚم[J].ֹᇉაाฐ,1999,35(1):41-43.[5] ڈݓ౩,ᇛႤၑ,ᄍ,֩.০Ⴈ၌Ԯෘمކൌဒэҵݦඔ[J].༆ଲെႲ࿐ჽ࿐Б,2005,(10):23-27.[6] ༐ݓ,ਾӑ.эҵݦඔ֥ҕඔଆ[J].ฐ߄ฐ࠹ෘඌ,1996,16(2):157-161.[7] ᤞࡹݓ.ᄉଲ༌؟ࣁඋঀԵࠣިնঀุ॥ঀֹᇉหᆘ[J].༆ଲঀӁֹᇉ,1992,(3):26-31.[8] ࡉૼม,Ӊਅ,ᇆᆟ.ࠎႿົֹᇉ࠹࿐֥ঀԵࡹଆ[J].ࣁඋঀ,2002,(8):42-45.[9] ဗཫএ,ౕ֣༵,ڈૅৡ,֩.ࠎႿSurpac֥ঀົֹ࿐ଆ5 Լཟٚཟ֥ൌဒэၳݦඔࠣሸކྐ༏Ӯঀყҩ࣮[J].ֹᇉაሧჷ,2008,(3):61-65.ᇏྛXᇠ֥ᆰཌູ༵ဒٚҵ,ൌဒэၳݦ(责任编辑 徐艳杰)
