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Recovered Paper Yield Estimate Recovered Paper Yield Estimate Using Laboratory + Mill Using Laboratory + Mill Accounting Data Data Accounting By: By: Robert de de Jong Jong 2 Fiber Consulting Fiber Consulting Robert 2 Objective


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SLIDE 1

Recovered Paper Yield Estimate Recovered Paper Yield Estimate Using Laboratory + Mill Using Laboratory + Mill Accounting Accounting Data Data

By: By: Robert Robert de de Jong Jong 2 2 Fiber Consulting Fiber Consulting

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SLIDE 2

2 2

Objective Objective

  • To get maximum quantity of RP to the PM

To get maximum quantity of RP to the PM headbox without affecting product quality headbox without affecting product quality

  • Remove contaminants:

Remove contaminants:

  • Metal, plastic, wet strength, stickies

Metal, plastic, wet strength, stickies

  • Remove undesirable components:

Remove undesirable components:

  • Such as ash, RP fines, solubles

Such as ash, RP fines, solubles

  • Minimize losses of good fibers from process,

Minimize losses of good fibers from process, which will increase residue disposal costs which will increase residue disposal costs

  • Track RP yield to control process economics

Track RP yield to control process economics

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SLIDE 3

3 3

Introduction Introduction

  • Yield = (output tons / input tons) %

Yield = (output tons / input tons) %

“As is As is” ” or bone dry (BD) basis

  • r bone dry (BD) basis
  • Accounting data subject to errors:

Accounting data subject to errors:

  • Incorrect scale weights

Incorrect scale weights

  • Inventory differences

Inventory differences

  • Broke accounting discrepancies

Broke accounting discrepancies

  • Yield per RP Grade not identified

Yield per RP Grade not identified

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SLIDE 4

Numbers in Blue are Spreadsheet Variables Numbers in Blue are Spreadsheet Variables

4 4

Hypothetical Mill Example Hypothetical Mill Example

  • Produces

Produces 21,000 21,000 “ “as is as is” ” tons / month tons / month

  • Furnish =

Furnish = 30,000 30,000 “ “as is as is” ” tons / month tons / month

  • SWL

SWL = = 20% 20%

  • CBK

CBK = = 20% 20%

  • ONP

ONP = = 20% 20%

  • Wetlap Pulp

Wetlap Pulp = = 20% at PM 20% at PM

  • Broke

Broke = = 20% at PM 20% at PM

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SLIDE 5

5 5

Assumed Moisture Content Assumed Moisture Content

6% 6% 9% 50% 7% 7% 0% 10% 20% 30% 40% 50% 60% SWL CBK ONP Wetlap Broke Product % MOISTURE

Moisture content

The 50% moisture content of Wetlap lowers yield The 50% moisture content of Wetlap lowers yield

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SLIDE 6

6 6

“ “As is As is” ” Yield Yield

Tons/mo. Moist. Tons/mo. Moist.

As is Furnish Comp As is Furnish Comp. .

As is As is Cont. Cont. Input DP = Input DP = 20% 20% SWL SWL 6,000 6,000 6% 6% 20% 20% CBK CBK 6,000 6,000 6% 6% 20% 20% ONP ONP 6,000 6,000 9% 9% Input PM= Input PM= 20% 20% Wetlap Wetlap 6,000 6,000 50% 50% 20% 20% Broke Broke 6,000 6,000 7% 7%

TOTAL INPUT = TOTAL INPUT = 30,000 30,000 OUTPUT = OUTPUT = 21,000 21,000

7% 7%

LOSSES = LOSSES = 9,000 9,000 YIELD = 21,000/30,000 = YIELD = 21,000/30,000 = 70% 70%

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7 7

Recalculated on BD Basis Recalculated on BD Basis

Tons/mo. Tons/mo.

BD Furnish Comp BD Furnish Comp. . BD BD

Input DP = Input DP = 22.3% SWL 22.3% SWL 5,640 5,640 22.3% CBK 22.3% CBK 5,640 5,640 22.6% ONP 22.6% ONP 5,460 5,460 Input PM= 11.8% Wetlap Input PM= 11.8% Wetlap 3,000 3,000 22.0% Broke 22.0% Broke 5,580 5,580

TOTAL INPUT = TOTAL INPUT = 25,320 25,320 OUTPUT = OUTPUT = 19,530 19,530 LOSSES = LOSSES = 5,790 5,790 YIELD = 19,530 / 25,320 = YIELD = 19,530 / 25,320 = 77.1% 77.1%

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SLIDE 8

Numbers in Blue are Spreadsheet Variables Numbers in Blue are Spreadsheet Variables

8 8

Typical Average Laboratory Data Typical Average Laboratory Data

RP Grade RP Grade

6 Cut Rej 6 Cut Rej. . Solubles Solubles BJ F&A BJ F&A SWL SWL 0.2 % 0.2 % 4 % 4 % 26 % 26 % CBK CBK 0.4 % 0.4 % 6 % 6 % 33 % 33 % ONP ONP 1.4 % 1.4 % 1 % 1 % 27 % 27 % Wetlap Pulp Wetlap Pulp 0 % 0 % 2.5 % 2.5 % 20 % 20 % Broke Broke 0.1 % 0.1 % 1 % 1 % 11 % 11 %

  • Fin. Product
  • Fin. Product

0 % 0 % 1 % 1 % 11 % 11 %

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SLIDE 9

Numbers in Blue are Spreadsheet Variables Numbers in Blue are Spreadsheet Variables

9 9

Allocating Coarse Rejects Allocating Coarse Rejects

  • Coarse Rejects to landfill =

Coarse Rejects to landfill = 180 180 BD tons / mo BD tons / mo (according to accounting data) (according to accounting data)

  • Good fiber content =

Good fiber content = 30 30% % (according to Lab) (according to Lab)

  • Allocate Coarse Rejects

Allocate Coarse Rejects Input Input (% 6 cut rejects x BD RP tons + (% 6 cut rejects x BD RP tons + 30 30%) %)

  • Compare with accounting data

Compare with accounting data

  • Distribute unaccounted tons

Distribute unaccounted tons

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SLIDE 10

30% good fiber per lab, 180 tons per accounting 30% good fiber per lab, 180 tons per accounting

10 10

6 Cut Rejects in Furnish + Product 6 Cut Rejects in Furnish + Product

(BD tons/mo) (BD tons/mo)

Product Product 180 180 29 = 29 = 35 + 35 + 116 + 116 + Total Total 9 9 1 1 = = 2 2 + + 6 6 + + Broke Broke Wetlap Wetlap 119 119 19 = 19 = 23 + 23 + 76 + 76 + ONP ONP 35 35 6 = 6 = 7 + 7 + 23 + 23 + CBK CBK 17 17 3 = 3 = 3 + 3 + 11 + 11 + SWL SWL Losses Losses Unacc. Unacc. 30% 30% Fiber Fiber Lab Lab Calc. Calc. RP RP Grade Grade

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Allocating Solubles Allocating Solubles

  • Calculate input solubles

Calculate input solubles (% solubles x BD RP tons ) (% solubles x BD RP tons )

  • Calculate solubles in Product

Calculate solubles in Product (% solubles x BD Product tons ) (% solubles x BD Product tons )

  • Allocate output solubles

Allocate output solubles (according to BD furnish composition) (according to BD furnish composition)

  • Input

Input – – output tons = solubles per furnish

  • utput tons = solubles per furnish

component component

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SLIDE 12

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Solubles in Furnish + Product Solubles in Furnish + Product

(BD tons/mo) (BD tons/mo)

195 195 Product Product 554 554 195 195 13 13 = = 43 43 56 56 -

  • Broke

Broke 52 52 = = 23 23 75 75 -

  • Wetlap

Wetlap 13 13 = = 42 42 55 55 -

  • ONP

ONP 295 295 = = 44 44 338 338 -

  • CBK

CBK 182 182 = = 44 44 226 226 -

  • SWL

SWL Losses Losses Tons Tons In Prod In Prod Lab Lab Calc. Calc. RP RP Grade Grade

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SLIDE 13

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Calculate BJ Fines & Ash Calculate BJ Fines & Ash in PM Furnish and DIP in PM Furnish and DIP

Assume: Assume:

  • Wetlap + Broke F & A retained

Wetlap + Broke F & A retained 90% 90% (determine when deink plant is down) (determine when deink plant is down)

  • Calculate F & A in Product

Calculate F & A in Product

  • Calculate F & A from wetlap + broke

Calculate F & A from wetlap + broke

  • Difference is from DIP

Difference is from DIP

  • Allocate DIP F & A

Allocate DIP F & A (according to DIP BD furnish) (according to DIP BD furnish)

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SLIDE 14

*=90% PM fines & ash retained; rest is removed *=90% PM fines & ash retained; rest is removed

14 14

BJ F & A in PM Furnish + Product BJ F & A in PM Furnish + Product

(BD tons/mo) (BD tons/mo) 1,056 1,056 DIP DIP 2,148 2,148 2,148 2,148 Product Product 1,092 1,092 61 61 552* = 552* = 614 614 -

  • Broke

Broke 60 60 540* = 540* = 600 600 -

  • Wetlap

Wetlap BJ BJ Losses Losses Tons in Tons in Product Product Lab Lab Calc. Calc. RP RP Grade Grade

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SLIDE 15

2148 2148 -

  • 1092 = 1056 in DIP

1092 = 1056 in DIP

15 15

BJ F & A in DIP BJ F & A in DIP

(BD tons/mo) (BD tons/mo)

3,867 3,867 1,092 1,092 61 61 552 = 552 = 614 614 -

  • Broke

Broke 60 60 540 = 540 = 600 600 -

  • Wetlap

Wetlap 1,130 1,130 1,056* 1,056* 344 = 344 = 1,474 1,474 -

  • ONP

ONP 1,505 1,505 356 = 356 = 1,861 1,861 -

  • CBK

CBK 1,111 1,111 356 = 356 = 1,466 1,466 -

  • SWL

SWL BJ BJ Losses Losses Sub Sub-

  • Total

Total Tons in Tons in Product Product Lab Lab Calc. Calc. RP RP Grade Grade

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SLIDE 16

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Calculate Residue Losses Calculate Residue Losses

Assume: Assume:

  • Residue contains

Residue contains 20% 20% good fiber good fiber (according to lab samples) (according to lab samples)

  • Accounting reports

Accounting reports 4,900 4,900 tons BD residue tons BD residue (according to truck weights x average dry (according to truck weights x average dry solids content of residue) solids content of residue)

  • Add BJ losses +

Add BJ losses + 20% 20% fiber losses fiber losses

  • Compare with accounting BD residue losses

Compare with accounting BD residue losses

  • Distribute unaccounted losses

Distribute unaccounted losses

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20% Fiber in residue per Lab, 4,900 tons per acc. 20% Fiber in residue per Lab, 4,900 tons per acc.

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Residue Losses Residue Losses

(BD tons/mo) (BD tons/mo)

4,900 4,900 390 = 390 = 752 + 752 + 3,758 + 3,758 + 78 78 4 4 = = 12 12 + + 61 61 + + Broke Broke 76 76 4 = 4 = 12 + 12 + 60 + 60 + Wetlap Wetlap 1,432 1,432 76 = 76 = 226 + 226 + 1,130 + 1,130 + ONP ONP 1,907 1,907 101 = 101 = 301 + 301 + 1,505 + 1,505 + CBK CBK 1,407 1,407 74 = 74 = 222 + 222 + 1,111 + 1,111 + SWL SWL Residue Residue Losses Losses Unacc. Unacc. 20% 20% Fiber Fiber BJ BJ Losses Losses RP RP Grade Grade

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Calculate Total Losses Calculate Total Losses

  • Add losses per grade and per category

Add losses per grade and per category

  • Coarse rejects + good fiber

Coarse rejects + good fiber

  • Solubles

Solubles

  • Fines & ash + good fiber

Fines & ash + good fiber

  • Compare with accounting BD losses

Compare with accounting BD losses

  • BD accounting losses

BD accounting losses – – calculated losses = calculated losses = unaccounted losses unaccounted losses

  • Distribute unaccounted losses proportionally

Distribute unaccounted losses proportionally

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25,320 BD tons input 25,320 BD tons input -

  • 19,530 output = 5,790 tons

19,530 output = 5,790 tons

19 19

Summary of Losses per Grade Summary of Losses per Grade

(BD Tons/mo) (BD Tons/mo) 5,790* 5,790* 156 = 156 = 4,900 + 4,900 + 554 + 554 + 180 + 180 + 102 102 3 3 = = 78 78 + + 13 13 + + 9 9 + + Broke Broke 131 131 4 = 4 = 76 + 76 + 52 + 52 + 0 + 0 + Wetlap Wetlap 1,606 1,606 43 = 43 = 1,432 + 1,432 + 12 + 12 + 119 + 119 + ONP ONP 2,299 2,299 62 = 62 = 1,907 + 1,907 + 295 + 295 + 35 + 35 + CBK CBK 1,651 1,651 44 = 44 = 1,407 + 1,407 + 182 + 182 + 18 + 18 + SWL SWL Total Total Losses Losses Unacc. Unacc. F&A F&A Soluble Soluble Coarse Coarse Rejects Rejects RP RP Grade Grade

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Calculate Yield Calculate Yield

  • Subtract BD losses per grade from BD input

Subtract BD losses per grade from BD input per grade = BD output per grade per grade = BD output per grade

  • BD yield per grade =

BD yield per grade =

  • (BD output / BD input )%

(BD output / BD input )%

“As is As is” ” yield per grade = yield per grade =

  • (

(“ “as is as is” ” output /

  • utput / “

“as is as is” ” input )% input )%

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BD Yield Calculation BD Yield Calculation

19,530 19,530 Product Product 77.1% 77.1% 19,530 19,530 5,790 5,790 25,320 25,320 98.2% 98.2% 5,478 5,478 102 102 5,580 5,580 Broke Broke 95.6% 95.6% 2,869 2,869 131 131 3,000 3,000 Wetlap Wetlap 70.6% 70.6% 3,854 3,854 1,606 1,606 5,460 5,460 ONP ONP 59.2% 59.2% 3,341 3,341 2,299 2,299 5,640 5,640 CBK CBK 70.7% 70.7% 3,989 3,989 1,651 1,651 5,640 5,640 SWL SWL Yield Yield BD BD Output Output Losses Losses BD BD Input Input RP RP Grade Grade

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“ “As is As is” ” Yield Calculation Yield Calculation

21,000 21,000 Product Product 70.0% 70.0% 21,000 21,000 5,790 5,790 30,000 30,000 98.2% 98.2% 5,890 5,890 102 102 6,000 6,000 Broke Broke 51.4% 51.4% 3,084 3,084 131 131 6,000 6,000 Wetlap Wetlap 69.1% 69.1% 4,144 4,144 1,606 1,606 6,000 6,000 ONP ONP 59.9% 59.9% 3,592 3,592 2,299 2,299 6,000 6,000 CBK CBK 71.5% 71.5% 4,289 4,289 1,651 1,651 6,000 6,000 SWL SWL Yield Yield As is As is Output Output BD BD Losses Losses As is As is Input Input RP RP Grade Grade

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Yield per RP Grade Yield per RP Grade

70.7% 59.2% 70.6% 95.6% 98.2% 77.1% 71.5% 69.1% 51.4% 98.2% 70.0% 59.9% 40% 50% 60% 70% 80% 90% 100% SWL CBK ONP Wetlap Broke Process YIELD.

BD As is

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Calculate Furnish Cost to Headbox Calculate Furnish Cost to Headbox

“As is As is” ” yield can be used to calculate yielded yield can be used to calculate yielded cost to the headbox cost to the headbox (if that RP grade was used 100%)

(if that RP grade was used 100%)

  • Add RP cost + Freight + Mill storage & handling

Add RP cost + Freight + Mill storage & handling

  • Divide by

Divide by “ “as is as is” ” yield = furnish cost / yield = furnish cost / “ “as is as is” ” ton ton

  • Furnish cost

Furnish cost – – RP cost = shrink cost per ton RP cost = shrink cost per ton

  • Example for SWL

Example for SWL (per

(per “ “as is as is” ” ton): ton):

  • $270 + $20 freight + $10 S&H = $300

$270 + $20 freight + $10 S&H = $300

  • Furnish cost = $300 / 71.5% = $416

Furnish cost = $300 / 71.5% = $416

  • Shrink = $416

Shrink = $416 – – $300 = $116 $300 = $116

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Allocate Residue Costs Allocate Residue Costs

  • Monthly residue disposal costs can be

Monthly residue disposal costs can be allocated per RP grade: allocated per RP grade:

  • Determine residue disposal cost per BD ton

Determine residue disposal cost per BD ton (incl. polymer costs, transport + disposal fee) (incl. polymer costs, transport + disposal fee)

  • Add BD residue losses per grade

Add BD residue losses per grade

  • Divide losses by

Divide losses by “ “as is as is” ” PM tons for each grade PM tons for each grade

  • Example for CBK

Example for CBK (using hypothetical numbers)

(using hypothetical numbers):

:

  • Disposal cost = $5,080,000 / (4,900 + 180) = $100

Disposal cost = $5,080,000 / (4,900 + 180) = $100

  • Residue losses = (1,907 + 35) / 3,592 = 0.54

Residue losses = (1,907 + 35) / 3,592 = 0.54

  • $100 x 0.54 BD tons residue / PM ton = $54

$100 x 0.54 BD tons residue / PM ton = $54

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Allocate Bleach Costs Allocate Bleach Costs

  • Determine bleach cost per

Determine bleach cost per “ “brightness brightness” ” ton ton

  • Say monthly bleach costs = $360,000

Say monthly bleach costs = $360,000

  • 21,000 PM tons x brightness increase = 120,000

21,000 PM tons x brightness increase = 120,000

  • $360,000 / 120,000 brightness tons = $3

$360,000 / 120,000 brightness tons = $3

  • Example for ONP:

Example for ONP:

  • 4,144 PM tons x brightness increase = 100,000

4,144 PM tons x brightness increase = 100,000

  • 100,000 brightness tons x $3 = $300,000

100,000 brightness tons x $3 = $300,000

  • $300,000 / 4,144 PM tons = $72

$300,000 / 4,144 PM tons = $72

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Allocated Grade Cost Allocated Grade Cost to the Headbox to the Headbox

300 200 160 120 134 72 467 388 341

$0 $100 $200 $300 $400 $500 SWL CBK ONP

US$ / As is ton.

Allocated Costs Bleach Reject Disposal Yield Loss RP+Frt+S&H

56% 94% 113%

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28 28

Conclusion Conclusion

  • By combining average lab data for each

By combining average lab data for each furnish component + monthly mill accounting furnish component + monthly mill accounting data in a spreadsheet, you can calculate yield data in a spreadsheet, you can calculate yield to the headbox for each RP grade. to the headbox for each RP grade.

  • Convert the data to a BD basis.

Convert the data to a BD basis.

  • Allocate furnish losses to appropriate RP grade.

Allocate furnish losses to appropriate RP grade.

  • Calculate BD yield per RP grade

Calculate BD yield per RP grade

  • Use this information to calculate the actual

Use this information to calculate the actual grade cost to the headbox. grade cost to the headbox.

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Acknowledgment Acknowledgment

  • The help of M. Doshi of Progress in Paper

The help of M. Doshi of Progress in Paper Recycling in reviewing the abstract + paper is Recycling in reviewing the abstract + paper is greatly appreciated. greatly appreciated.

  • Questions?

Questions?