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336Vol.33No.620086JOURNALOFCHINACOALSOCIETYJune2008:0253-9993(2008)06-0623-061,1,2,3(11,266510;21,277605;31,271000):,.,,,,.:;;;:TD88;X37;O189:A:2007-05-20::(1962),,,,.E-mail:lmliujm@1631comMatter2elementmodelonoptimalallocationofsubsidencelandresourceLIULi2min1,GUOWei2jia1,ZHAOZhi2he2,GUBing3(11LaboratoryofMineDisasterPreventionandControl,ShandongUniversityofScience&Technology,Qingdao266510,China;21FucunCoalMine,ZaozhuangCoalMiningGroupCo1Ltd.,Zaozhuang277605,China;31TaianBureauofCoalIndustry,Taian271000,China)Abstract:Itisimportanttopresentamodelofoptimalallocationofsubsidencelandresource.Appliedthetheoryandmethodofextenicstotheanalysisofcharactersanoptimalallocationofsubsidencelandresource.Basedontheextensivesettransformmethodandindependentfunctionanalysis,amatter2elementmodelonoptimalallocationcol2lapselandresourcewaspresented.Theclassicalfieldmatter2elementsandsegmentfieldmatter2elementsonoptimalallocationcollapsesubsidencelandresourceweregivenout,andthematter2elementmodelwasestablished.Thismethodwasverifiedclearlythroughthepracticalexample.Itoffersanewscientificmethodforoptimalallocationandutilizationofsubsidencelandresource.Keywords:subsidenceland;optimalallocation;matter2elementmodel;extenics,,[1].,,,,.,.,,..,.:;.,,,[2].20083301,(-,+),,,0[3].,P.,,.,[3].PP[4].1,,,.,,,,.:,m,n,ri=Nic1vi1c2vi2cnvin(i=1,2,,m),,Nii;c1,c2,,cn,;vi1,vi2,,vinicj(j=1,2,,n).4([4]):,[5],80100,6080,4060,040.R0t(t=14)Rp.R0t=(N0t,C,V0t)=N0tc1X0t1c2X0t2cnX0tn(t=14),,N0t,t=14,N0t{}{}{}{};X0t1,X0t2,,X0tnN0t,t=14,80,100,60,80,40,60,0,40.Rp=Pc1Xp1c2Xp2cnXpm=Pc1ap1,bp1c2ap2,bp2cnapn,bpn={}c10,100c20,1000,100cn0,100.Ni(i=1,2,,m),,,,.Rik=Nic1xik1c2xik2cnxikn(i=1,2,,m;k=1,2,,s),4266:,xik1,xik2,,xiknikcj(j=1,2,,n).:,.x(-,+),X0=a,b,(x,X0)=x-a+b2-b-a2xX0.,(xikj,X0tj)=xikj-a0tj+b0tj2-b0tj-a0tj2(i=1m;j=1n;k=1s;t=14),(xikj,Xpi)=xikj-api+bpi2-bpi-api2(i=1m;j=1n;k=1s;p=14).Kjikt(xikj)=(xikj,X0tj)(xikj,Xpj)-(xikj,X0tj)(xikjX0tj),Kjikt(xikj)=-(xikj,X0tj)|X0tj|(xikjX0tj),,Kjikt(xikj)ijkt.cjwj,niktKjikt(Ni)Kjikt(Ni)=nt=1wjKjikt(xikt)(i=1m;j=1n;k=1s;t=14).(1)Kjikt0(Ni)=max{Kjikt(Ni)|k=1,2,,s},(2)Nik0t0.Kjik0t0(Ni)=max{Kjikt0(Ni)|k=1,2,,s},(3)Nik0.2Ni,ri.,,,Ui(i=1,2,,n).ri=Ni5400mm27mm/m13mm/m2400mm116km2112km2,526200833Ui=Nic1t1c2t2c3t3c4t4c5t5c6t6=Ni123456.Ni164:,Ni16R0tRp.R01=N1c1X011c2X012c3X013c4X014c5X015c6X016c7X017c8X018c9X019c10X0110=N1c1(a011b011)c2(a012b012)c3(a013b013)c4(a014b014)c5(a015b015)c6(a016b016)c7(a017b017)c8(a018b018)c9(a019b019)c10(a0110b0110)=N1c1(80100)c2(80100)c3(80100)c4(80100)c5(80100)c6(80100)c7(80100)c8(80100)c9(80100)c10(80100).R02,R03,R04R01().1(i=1),116,,Rik.RpRikRp=Pc1Xp1c2Xp2c3Xp3c4Xp4c5Xp5c6Xp6c7Xp7c8Xp8c9Xp9c10Xp10=Pc1(ap1bp1)c2(ap2bp2)c3(ap3bp3)c4(ap4bp4)c5(ap5bp5)c6(ap6bp6)c7(ap7bp7)c8(ap8bp8)c9(ap9bp9)c10(ap10bp10)=Pc1(0100)c2(0100)c3(0100)c4(0100)c5(0100)c6(0100)c7(0100)c8(0100)c9(0100)c10(0100),Rik=Nic1xik1c2xik2c3xik3c4xik4c5xik5c6xik6c7xik7c8xik8c9xik9c10xik10(k=16).1(i=1)1..111(x111,X011)=x111-a011+b0112-b011-a0112=24-80+1002-100-802=56.(x111,X021),(x111,X031),(x111,X041)36,16,-16,(x111,X11)=-24.K1111(x111)=(x111,X011)(x111,X11)-(x111,X011)=56-24-56=-017000(x111|X011).6266:K1112(x111)=-016000,K1113(x111)=-014000,K1114(x111)=+014000.1116Table1TheaveragescorerecordedbyexperttosuitabilityofsubsidencelandunitNo11vijtjk1(x11j)2(x12j)3(x13j)4(x14j)5(x15j)6(x16j)(5400mm)243632741818(27mm/m)263228641668(13mm/m)182220681272(2400mm)152118761476(116km2)223026821686(112km2)455852423664()727473657878()626666366765()647068667878()656565756076,K111(x111)K1114(x111)111t.11,2.21Table2ThedegreeofassociationaboutsubsidencelandunitNo11fromitscharacteristicsNo11toNo1101K1111(x111)=-017000K1112(x111)=-016000K1113(x111)=-014000K1114(x111)=+0140002K2111(x211)=-016750K2112(x211)=-015667K2113(x211)=-013500K2114(x211)=+0135003K3111(x311)=-017750K3112(x311)=-017000K3113(x311)=-015500K3114(x311)=+0145004K4111(x411)=-018125K4112(x411)=-017500K4113(x411)=-016250K4114(x411)=+0137505K5111(x511)=-017250K5112(x511)=-016333K5113(x511)=-014500K5114(x511)=+0145006K6111(x611)=-014375K6112(x611)=-012500K6113(x611)=+012500K6114(x611)=-0110007K7111(x711)=-012222K7112(x711)=+014000K7113(x711)=-013000K7114(x711)=-0153338K8111(x811)=-013214K8112(x811)=+011000K8113(x811)=-010500K8114(x811)=-0136679K9111(x911)=-013077K9112(x911)=+012000K9113(x911)=-011000K9114(x911)=-01400010K10111(x1011)=-013000K10112(x1011)=+012500K10113(x1011)=-011250K10114(x1011)=-014167126.(1)cjw1=w2=w3=w4=w5=w6=w7=w8=w9=w10=011([6]),116t3.31Table3ThedegreeofassociationaboutsubsidencelandunitNo11fromitsusesNo11toNo161K1111(N1)=-015276K1112(N1)=-012550K1113(N1)=-012700K1114(N1)=+0102082K1121(N1)=-014610K1122(N1)=-011345K1123(N1)=-012250K1124(N1)=-0107423K1131(N1)=-014889K1132(N1)=-011776K1133(N1)=-012300K1134(N1)=-0102674K1141(N1)=-012594K1142(N1)=+011100K1143(N1)=-012250K1144(N1)=-0141125K1151(N1)=-015382K1152(N1)=-013583K1153(N1)=-014275K1154(N1)=-0100506K1161(N1)=-011155K1162(N1)=+011450K1163(N1)=-013625K1164(N1)=-015750726200833(2)1161(K1114(N1)=-010208),t0=4,;2(K1124(N1)=-010742),t