Matrix SnCIRCUITO DE FLOTACIN COBRE CON DOS CONCENTRADOSAPLICACIONES EN COMPUTADORA Y CONTROL DE PROCESOSAJUSTES EN COMPUTADORA DE BALANCES METALURGICOS(Por: Ing. Mauro Dueas Charaja)Diagrama de flujos de circuito Flot. Sulfuros DR 300 -DR 180Datos y puntos de muestreo del circuito a balancearDatos de LaboratorioFlujo%SnCrFlujoFlujo%S1.- Alimentacin fresca0.62000.632711.- Alimentacin fresca0.26000.26002.- Rel. Rougher "DR - 300"0.61000.59750.97932.- Rel. Rougher "DR - 300"0.02000.02003.-Conc. Rougher "DR - 300"0.90000.85250.07353.-Conc. Rougher "DR - 300"3.28003.28004.- Rel. Scavenger "DR - 180"0.73000.75250.05294.- Rel. Scavenger "DR - 180"0.03000.03005.- Conc. Scanvenger "DR - 180"1.09001.10870.02075.- Conc. Scanvenger "DR - 180"11.600011.6000

Ecuaciones de BalanceEcuaciones de Balance1) Circuitos DR 3001) Circuitos DR 3001) Circuitos DR 1801) Circuitos DR 180w1 =0.0207w1 =0.0207w2 =0.0735w2 =0.0735C1C2C3C4C5C1C2C3C4C511-(1-w1)-w2+(w2-w1)011-(1-w1)-w2+(w2-w1)0200w2-(w2-w1)-w1200w2-(w2-w1)-w1C1C2C3C4C5C1C2C3C4C511-1.0207-0.07350.0529011-1.0207-0.07350.052902000.0735-0.0529-0.02072000.0735-0.0529-0.0207C12 0000C12 00000C22 0000C22 00000C32 0000C32 00000C42 0000C42 00000C52 0000C52 0.384400000.0676000000.3700000.00000000.8100000010.7584000000.5300000.00000001.18810000134.5600dci= -MiB'(BMiB')-1Bcidci= -MiB'(BMiB')-1Bci B' = B' =1010-1.02065405860-1.02065405860-0.07352834030.0735283403-0.07352834030.07352834030.0528742817-0.05287428170.0528742817-0.05287428170-0.02065405860-0.0206540586-MiB'=-MiB'=-0.38440-0.067600.379785375200.000408261600.0595579557-0.05955795570.7910472968-0.7910472968-0.02817670470.0281767047-0.00004758690.000047586900.02453908702.7792101265MiB'=MiB'=0.384400.06760-0.37978537520-0.00040826160-0.05955795570.0595579557-0.79104729680.79104729680.0281767047-0.02817670470.0000475869-0.00004758690-0.0245390870-2.7792101265BMiB'=0.7778985053-0.0058690207BMiB'=0.1261836049-0.058166911-0.00586902070.0063758524-0.0581669110.1155688798(BMiB')-1=1.29450503941.1916017408(BMiB')-1=10.31910298055.19370219241.1916017408157.93865222845.193702192411.2668878942-MiB'(BMiB')-1=-0.4976077372-0.4580517092-MiB'(BMiB')-1=-0.6975713615-0.35109426820.49163408210.45255291420.00421289370.00212038930.0061287101-9.33553388624.0544344384-4.8041771323-0.00289947594.4166153601-0.00024390170.00028900380.02924081883.875670333114.434389727531.3130489302Bci=-0.0301762564Bci=0.00000019090.0050643568-0.000000352(7 x 3) * (3 x 1) = ( 7 x 1)C(e)(7 x 3) * (3 x 1) = ( 7 x 1)C(e)-MiB'(BMiB')-1Bci=0.01269620140.62000.6327-MiB'(BMiB')-1Bci=-0.00000000960.26000.2600-0.01254378670.61000.59750.00000000010.02000.0200-0.04746341570.90000.85250.00000246523.28003.28000.02245481120.73000.7525-0.00000000010.03000.03000.01874539881.09001.1087-0.000008265711.600011.6000Funcin ObjetivoFuncin Objetivo0.0127-0.0000-0.01250.0000-0.04750.00000.0225-0.00000.0187-0.00000.0126962014-0.0125437867-0.04746341570.02245481120.0187453988-0.00000000960.00000000010.0000024652-0.0000000001-0.0000082657Mi-1 =2.60145681580000Mi-1 =14.7928994083000002.687449610300002500000001.234567901200000.0929506246000001.876524676300001111.1111111111000000.841679993300000.007431629M-1*(C(c )-C) =0.0330286196M-1*(C(c )-C) =-0.0000001422-0.03371079470.0000001451-0.05859680950.00000022910.0421370073-0.00000016480.0157776271-0.0000000614Resultados finalesResultados finalesw1 =0.0207w1 =0.0207w2 =0.0735w2 =0.0735(c-c)' Mi-1(c-c)=0.0048653402Funcin Objetivo Parcial (hoja)(c-c)' Mi-1(c-c)=0Funcin Objetivo Parcial (hoja)

Valores de constantes calculadasValores de constantes calculadas

Matrix Sn ValoradoCIRCUITO DE FLOTACIN COBRE CON DOS CONCENTRADOSAPLICACIONES EN COMPUTADORA Y CONTROL DE PROCESOSAJUSTES EN COMPUTADORA DE BALANCES METALURGICOS(Por: Ing. Mauro Dueas Charaja)Diagrama de flujos de circuito Flot. Sulfuros DR 300 -DR 180Datos y puntos de muestreo del circuito a balancearDatos de LaboratorioFlujo%SnCFlujoFlujo%SC1.- Alimentacin fresca0.62330.633411.- Alimentacin fresca0.23130.23132.- Rel. Rougher "DR - 300"0.60130.59180.97502.- Rel. Rougher "DR - 300"0.04210.04213.-Conc. Rougher "DR - 300"0.84890.84420.080812.36955046373.-Conc. Rougher "DR - 300"2.36262.36264.- Rel. Scavenger "DR - 180"0.74000.74250.05584.- Rel. Scavenger "DR - 180"0.05210.05215.- Conc. Scanvenger "DR - 180"1.06961.07120.02505.- Conc. Scanvenger "DR - 180"7.51987.5198

Ecuaciones de BalanceEcuaciones de Balance1) Circuitos DR 3001) Circuitos DR 3001) Circuitos DR 1801) Circuitos DR 180w1 =0.02503.2320391638w1 =0.0250w2 =0.0808w2 =0.0808C1C2C3C4C5C1C2C3C4C511-(1-w1)-w2+(w2-w1)011-(1-w1)-w2+(w2-w1)0200w2-(w2-w1)-w1200w2-(w2-w1)-w1C1C2C3C4C5C1C2C3C4C511-1.0250-0.08080.0558011-1.0250-0.08080.055802000.0808-0.0558-0.02502000.0808-0.0558-0.0250C12 0000C12 00000C22 0000C22 00000C32 0000C32 00000C42 0000C42 00000C52 0000C52 0.388500000.0535000000.3600000.00000000.720700005.5821000000.5500000.00000001.1441000056.5475dci= -MiB'(BMiB')-1Bcidci= -MiB'(BMiB')-1Bci B' = B' =1010-1.02501321230-1.02501321230-0.08084368170.0808436817-0.08084368170.08084368170.0558304694-0.05583046940.0558304694-0.05583046940-0.02501321230-0.0250132123-MiB'=-MiB'=-0.38853230650-0.053479819300.370647140400.001817537900.0582609539-0.05826095390.4512776951-0.4512776951-0.030576530.03057653-0.00015173760.000151737600.028618319401.4144352925MiB'=MiB'=0.388532306500.05347981930-0.37064714040-0.00181753790-0.05826095390.0582609539-0.45127769510.45127769510.03057653-0.030576530.0001517376-0.00015173760-0.02861831940-1.4144352925BMiB'=0.7748676545-0.006417132BMiB'=0.0918342415-0.0364914219-0.0064171320.0071329681-0.03649142190.0718709921(BMiB')-1=1.30023030171.1697443988(BMiB')-1=13.64139839196.92621611871.1697443988141.24644695826.926216118717.4305020392-MiB'(BMiB')-1=-0.5051814781-0.4544834893-MiB'(BMiB')-1=-0.7295395203-0.37041278610.48192664320.43356241650.02479375860.01258866030.0076022332-8.16100230433.0304119782-4.7403499384-0.00398980614.2830594965-0.00101894540.00159389480.03347611894.04223593689.796684521924.6543172507Bci=-0.0203640315Bci=0.00000004590.0005574537-0.0000000701(7 x 3) * (3 x 1) = ( 7 x 1)C(e)(7 x 3) * (3 x 1) = ( 7 x 1)C(e)-MiB'(BMiB')-1Bci=0.0100341780.62330.6334-MiB'(BMiB')-1Bci=-0.00000000750.23130.2313-0.00957227840.60130.59180.00000000030.04210.0421-0.00470419310.84890.84420.00000047152.36262.36260.00246885590.74000.7425-0.00000000020.05210.05210.00157165071.06961.0712-0.00000127977.51987.5198Funcin ObjetivoFuncin Objetivo0.0100-0.0000-0.00960.0000-0.00470.00000.0025-0.00000.0016-0.00000.010034178-0.0095722784-0.00470419310.00246885590.0015716507-0.00000000750.00000000030.0000004715-0.0000000002-0.0000012797Mi-1 =2.57378854560000Mi-1 =18.6986421044000002.76546909560000563.9569936959000001.387613423900000.1791439784000001.82592561730000367.9409875815000000.874027992200000.0176842394M-1*(C(c )-C) =0.0258258524M-1*(C(c )-C) =-0.00000014-0.026471840.0000001435-0.00652760150.00000008450.0045079473-0.00000005830.0013736667-0.0000000226Resultados finalesResultados finalesw1 =0.0250w1 =0.0250w2 =0.0808w2 =0.0808(c-c)' Mi-1(c-c)=0.0005565325Funcin Objetivo Parcial (hoja)(c-c)' Mi-1(c-c)=0Funcin Objetivo Parcial (hoja)

Valores de constantes calculadasValores de constantes calculadas

% solids & G.E

ComponentsU/F de CICLONESAlimento DR-300Relave DR-300Espumas DR-300Relave DR-180Espumas DR-180Peso Balde + Pulpa (Kg)5.302.592.762.833.482.55Peso Balde (Kg)0.630.280.280.280.280.28Peso Pulpa (Kg)4.672.312.482.553.202.27Peso Seco (Kg)1.841.061.100.560.840.18% SOLIDOS39.4545.9144.5022.0826.218.10

PRIMERA

WFIOLA110.86112.22161.80159.80111.97114.2111.87WMUESTRA160.10128.10145.40141.20196.5094.60161.5WFIOLA+WMUESTRA+WH2O462.40494.80753.90751.00483.80427.10463.4WFIOLA+WH2O360.60362.00660.70657.80361.80364.00361.6 GRAVEDAD ESPECIFICA (G.E)2.75-27.262.792.942.643.002.71REPLICAWFIOLA166.1092.28166.10162.10112.85113.06162.1WMUESTRA171.70149.50113.00120.70208.2088.70161.3WFIOLA+WMUESTRA+WH2O772.10436.80736.80738.60442.40422.00762.2WFIOLA+WH2O664.90342.00664.50661.20362.40362.80661.4 GRAVEDAD ESPECIFICA (G.E)2.662.732.782.791.623.012.67Promedio2.702.732.782.862.133.00

AFORO ESPUMAS DR-180TEMPO(seg.)2.582.03PESO PULPA (Kg)9.728710.2021FLUJO MASICO (Kg/seg.)3.77081395355.0256650246SUMATORIA8.796478978131.67 TMPH527.788738687131667.324321228131.6673243212

GlobalTM/HR SOLIDGrav espM3/hr Solid

TM/HR AGUA%SolidM3/hr Agua

TM/HR PULPADensidadM3/hr Pulpa

Relave de Ultrafinos99.942.77636.001.18663666672.870.4134622532124.6644.50124.6612.24762726448.832911670912.2476272644224.601.40160.65Med. Bomba 15F (M3/Hr)170.3249113.43426393111.061066973112.6610895176102.512.7037.915.722.642.17101.132.7836.41120.7945.91120.7916.1126.2116.1126.21136.9142.48136.91223.301.41158.7021.841.1918.28238.031.37173.322.563.000.8529.108.1029.1031.671.0629.961. Gravedad Especificamineral2.782. Densidad de alimentacion(gr/lt)1,373.428.292.942.823. Flujo de alimentacion(m3/hr)173.3229.2522.0829.2537.535.4732.06Factor3.2320391638Produccin Grav.93.814Wi2.561.- Alimentacin fresca0.62W28.2869594338Tonelaje Alimentado29652.- Rel. Rougher "DR - 300"0.60Tonelaje a Deslame2871.1863.-Conc. Rougher "DR - 300"0.85Lamas Aprox412.814.38%4.- Rel. Scavenger "DR - 180"0.74Factor12.3695504637Alimento a Flot.2458.3865.- Conc. Scanvenger "DR - 180"1.07Ton alimento102.5059629067Alimento Ton / Hora102.43275SnSRougher Rougher Ton%SnFinosRecuperacinTon%SFinosRecuperacinAlimento 108.230.580.63Alimento 108.230.200.22Concentrado8.290.840.0711.07%Concentrado8.292.360.2089.52%Relave99.940.590.59Relave99.940.040.04

CleanerCleanerTon%SnFinosRecuperacinTon%SFinosRecuperacinAlimento 8.290.840.07Alimento 8.292.360.20Concentrado2.561.070.0339.26%Concentrado2.567.520.1998.48%Relave5.720.740.04Relave5.720.050.00

Recuperacin Total Recuperacin Total Ton%SnFinosRecuperacinTon%SFinosRecuperacinAlimento 108.230.580.63Alimento 108.230.200.22SnSConcentrado2.561.070.034.34%Concentrado2.567.520.1988.15%0.58414676640.2020908066Relave105.660.600.63Relave105.660.040.05