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Balance Flotacion, Smith Ichiyen

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Balance Flotacion
23
LEYES %Cu %Pb %Zn %Fe 1 Alimento 2.47 0.04 0.34 11.97 2 Concentrado 25.88 0.12 2.8 32.4 3 Colas 1.52 0.03 0.22 9.01 w 1- w2 - w3 = 0 1 - w2 - w3 = 0 w3 = 1 - w2 w1 1 w2 0.049 w3 0.951 w1 -w2 -w3 B= 1 -0.049 -0.951 0.8281 0 0 Mi= 0 12.25 0 0 0 0.4096 0.8281 -0.8281 MiB'= -0.60025 -MiB'= 0.60025 -0.3895296 0.3895296 BMiB'= 1.2279549 0.81436216 0.81436216 B'*(BMiB')-1= -0.0399037 -Mi*B'*(BMiB')-1= -0.7744584 -0.0875741 δi= 0.06347828 0.04119395 (BMiB') -1 =
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Page 1: Balance Flotacion, Smith Ichiyen

LEYES%Cu %Pb %Zn %Fe Oz Ag/TC

1 Alimento 2.47 0.04 0.34 11.97 0.912 Concentrado 25.88 0.12 2.8 32.4 3.53 Colas 1.52 0.03 0.22 9.01 0.64

w 1- w2 - w3 = 0 w11 - w2 - w3 = 0 w3 = 1 - w2

w1 1w2 0.049w3 0.951

w1 -w2 -w3B= 1 -0.049 -0.951

0.8281 0 0 1.20758363Mi= 0 12.25 0 Mi-1= 0

0 0 0.4096 0

0.8281 -0.8281MiB'= -0.60025 -MiB'= 0.60025

-0.3895296 0.3895296

BMiB'= 1.2279549

0.81436216

0.81436216 -0.6743733B'*(BMiB')-1= -0.03990375 -Mi*B'*(BMiB')-1= 0.48882088

-0.77445841 0.31721817

-0.08757412δi= 0.06347828 M-1*(Cc - Ci)'

0.04119395

δi'= -0.08757412 0.06347828 0.041193951

(BMiB')-1=

Page 2: Balance Flotacion, Smith Ichiyen

Funcion objetivo 0.01373309

Page 3: Balance Flotacion, Smith Ichiyen

Medido CalculadoAg Ag

1 Alimento 11.97 12.05757412 Concentrado 32.4 32.33652173 Colas 9.01 8.96880605

w2

w3

1 0.91B'= -0.049 Ci= 3.5

-0.951 0.64

0 00.08163265 0

0 2.44140625 B'Ci= 0.12986

-0.10575307M-1*(Cc - Ci)' 0.0051819

0.10057117

Page 4: Balance Flotacion, Smith Ichiyen

LEYES%Cu %Pb %Zn %Fe Oz Ag/TC

1 Alimento 2.47 0.04 0.34 11.97 0.912 Concentrado 25.88 0.12 2.8 32.4 3.53 Colas 1.52 0.03 0.22 9.01 0.64

w 1- w2 - w3 = 0 w11 - w2 - w3 = 0 w3 = 1 - w2

w1 1w2 0.049w3 0.951

w1 -w2 -w3B= 1 -0.049 -0.951

143.2809 0 0 0.0069793Mi= 0 1049.76 0 Mi-1= 0

0 0 81.1801 0

143.2809 -143.2809MiB'= -51.43824 -MiB'= 51.43824

-77.2022751 77.2022751

BMiB'= 219.220737

0.00456161

0.00456161 -0.65359191B'*(BMiB')-1= -0.00022352 -Mi*B'*(BMiB')-1= 0.23464131

-0.00433809 0.35216684

-1.18554383δi= 0.42561352 M-1*(Cc - Ci)'

0.63879192

δi'= -1.18554383 0.42561352 0.638791916

(BMiB')-1=

Page 5: Balance Flotacion, Smith Ichiyen

Funcion objetivo 0.0150086

Page 6: Balance Flotacion, Smith Ichiyen

Medido Calculado%Fe %Fe

1 Alimento 11.97 13.15554382 Concentrado 32.4 31.97438653 Colas 9.01 8.37120808

w2

w3

1 11.97B'= -0.049 Ci= 32.4

-0.951 9.01

0 00.0009526 0

0 0.01231829 B'Ci= 1.81389

-0.00827426M-1*(Cc - Ci)' 0.00040544

0.00786882

Page 7: Balance Flotacion, Smith Ichiyen

LEYES%Cu %Pb %Zn %Fe Oz Ag/TC

1 Alimento 2.47 0.04 0.34 11.97 0.912 Concentrado 25.88 0.12 2.8 32.4 3.53 Colas 1.52 0.03 0.22 9.01 0.64

w 1- w2 - w3 = 0 w11 - w2 - w3 = 0 w3 = 1 - w2

w1 1w2 0.049w3 0.951

w1 -w2 -w3B= 1 -0.049 -0.951

0.1156 0 0 8.65051903Mi= 0 7.84 0 Mi-1= 0

0 0 0.0484 0

0.1156 -0.1156MiB'= -0.38416 -MiB'= 0.38416

-0.0460284 0.0460284

BMiB'= 0.17819685

5.61177153

5.61177153 -0.64872079B'*(BMiB')-1= -0.2749768 -Mi*B'*(BMiB')-1= 2.15581815

-5.33679472 0.25830086

0.00416479δi= -0.01384035 M-1*(Cc - Ci)'

-0.00165829

δi'= 0.00416479 -0.01384035 -0.001658292

(BMiB')-1=

Page 8: Balance Flotacion, Smith Ichiyen

Funcion objetivo 0.0002313

Page 9: Balance Flotacion, Smith Ichiyen

Medido Calculado%Zn %Zn

1 Alimento 0.34 0.335835212 Concentrado 2.8 2.813840353 Colas 0.22 0.22165829

w2

w3

1 0.34B'= -0.049 Ci= 2.8

-0.951 0.22

0 00.12755102 0

0 20.661157 B'Ci= -0.00642

0.03602757M-1*(Cc - Ci)' -0.00176535

-0.03426222

Page 10: Balance Flotacion, Smith Ichiyen

LEYES%Cu %Pb %Zn %Fe Oz Ag/TC

1 Alimento 2.47 0.04 0.34 11.97 0.912 Concentrado 25.88 0.12 2.8 32.4 3.53 Colas 1.52 0.03 0.22 9.01 0.64

w 1- w2 - w3 = 0 w11 - w2 - w3 = 0 w3 = 1 - w2

w1 1w2 0.049w3 0.951

w1 -w2 -w3B= 1 -0.049 -0.951

0.0016 0 0 625Mi= 0 0.0144 0 Mi-1= 0

0 0 0.0009 0

0.0016 -0.0016MiB'= -0.0007056 -MiB'= 0.0007056

-0.0008559 0.0008559

BMiB'= 0.00244854

408.407426

408.407426 -0.65345188B'*(BMiB')-1= -20.0119639 -Mi*B'*(BMiB')-1= 0.28817228

-388.395462 0.34955592

-0.0036528δi= 0.00161088 M-1*(Cc - Ci)'

0.00195402

δi'= -0.0036528 0.00161088 0.001954018

(BMiB')-1=

Page 11: Balance Flotacion, Smith Ichiyen

Funcion objetivo 0.01276196

Page 12: Balance Flotacion, Smith Ichiyen

Medido Calculado%Pb %Pb

1 Alimento 0.04 0.04365282 Concentrado 0.12 0.118389123 Colas 0.03 0.02804598

w2

w3

1 0.04B'= -0.049 Ci= 0.12

-0.951 0.03

0 069.4444444 0

0 1111.11111 B'Ci= 0.00559

-2.28299751M-1*(Cc - Ci)' 0.11186688

2.17113063

Page 13: Balance Flotacion, Smith Ichiyen

LEYES%Cu %Pb %Zn %Fe Oz Ag/TC

1 Alimento 2.47 0.04 0.34 11.97 0.912 Concentrado 25.88 0.12 2.8 32.4 3.53 Colas 1.52 0.03 0.22 9.01 0.64

w 1- w2 - w3 = 0 w11 - w2 - w3 = 0 w3 = 1 - w2

w1 1w2 0.049w3 0.951

w1 -w2 -w3B= 1 -0.049 -0.951

6.1009 0 0 0.16391024Mi= 0 669.7744 0 Mi-1= 0

0 0 2.3104 0

6.1009 -6.1009MiB'= -32.8189456 -MiB'= 32.8189456

-2.1971904 2.1971904

BMiB'= 9.7985564

0.10205585

0.10205585 -0.62263253B'*(BMiB')-1= -0.00500074 -Mi*B'*(BMiB')-1= 3.34936538

-0.09705511 0.22423613

0.15169819δi= -0.81603938 M-1*(Cc - Ci)'

-0.05463289

δi'= 0.15169819 -0.81603938 -0.054632892

(BMiB')-1=

Page 14: Balance Flotacion, Smith Ichiyen

Funcion objetivo 0.00605808

Page 15: Balance Flotacion, Smith Ichiyen

Medido Calculado%Cu %Cu

1 Alimento 2.47 2.318301812 Concentrado 25.88 26.69603943 Colas 1.52 1.57463289

w2

w3

1 2.47B'= -0.049 Ci= 25.88

-0.951 1.52

0 00.00149304 0

0 0.43282548 B'Ci= -0.24364

0.02486489M-1*(Cc - Ci)' -0.00121838

-0.02364651

Page 16: Balance Flotacion, Smith Ichiyen

MEDIDO

%Cu %Pb %Zn %Fe

1 Alimento 2.47 0.04 0.34 11.97 0.912 Concentrado 25.88 0.12 2.8 32.4 3.53 Colas 1.52 0.03 0.22 9.01 0.64

w1 1w2 0.049 0.049w3 0.951 0.951

%Cu 0.00606 0.00004%Pb 0.01276 0.00016%Zn 0.00023 0.00000%Fe 0.01501 0.00023Ag Oz/TC 0.01373 0.00019

0.0006135

Ag Oz/TC

Page 17: Balance Flotacion, Smith Ichiyen

MEDIDO ERRORES

%Cu %Pb %Zn %Fe %Cu %Pb %Zn

2.27 0.04 0.33 13.11 12.05 -0.20 0.00 -0.0127.01 0.12 2.83 31.96 32.34 1.13 0.00 0.03

1.59 0.03 0.22 8.40 8.97 0.07 0.00 0.00

w1 w2

w3

Ag Oz/TC

Page 18: Balance Flotacion, Smith Ichiyen

ERRORES

%Fe

1.14 11.14-0.44 28.84-0.61 8.33

Ag Oz/TC


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