Farm Dams for the Sugar Industry - Appendix A

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    Farm Dams for t he Sugar Indust ry Dam Opt ions

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    Appendix A DAMOPTIONS

    A.1 Introduction

    Farm dams can take many forms depending on site conditions. It is important tounderstand the type of dam required for each site and to understand the efficiencyof water storage.

    In terms of construction cost, efficiency is measured either as S:E ratio (storage toexcavation ratio) or as cost per megalitre stored. This chapter will show that thecapital cost (earthworks only) of farm dams can vary from $100/ML to $3000/ML.Obviously this strongly affects the economic variability of farm dam design.

    Efficiency can also be gauged in terms of evaporation loss. This depends on local

    climate and surface area.

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    A.2 Gully Dams

    A gully dam is an earth embankment built across a gully, stream or depression (seePhotograph A-1). Despite being the most difficult to design and construct, it is the

    most favoured due to its good S:E ratios.

    Figure A-1 shows a typical layout for a gully dam. As the embankment crosses adrainage line, provision must be made for excess runoff to pass around theembankment. Usually a wide bywash is used but there are alternatives available (seeChapter 4).

    Storage capacity and embankment earthworks for gully dams can be estimated usingFigure A-2 and Figure A-3. For large gully dams it is appropriate to survey the siteand use computer software to accurately calculate earthworks.

    PHOTOGRAPH A-1 TYPICAL GULLY DAM

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    FIGURE A-1-TYPICAL LAYOUT FOR A GULLY DAM

    (Nelson, K.D. 1985, Design and Construction of Small Earth Dams, Inkata Press Pty Ltd,Melbourne.)

    TOP WATER SUPPLY LEVEL

    FREEBOARD

    BERM

    CUTOFF EXCAVATION

    CREST

    EMBANKMENT

    BORROW PIT

    TOP WATER LEVEL

    OUTLET

    BATTER 2:1

    INLE

    UPSTREAM TOE

    DOWNSTREAM TOE

    BORROW PIT EXCAVATION

    (3:1 BATTERS)

    BYWASH

    BATTER 2:1

    CUTOFF EXCAVATION

    DESIGNED CREST LEVEL

    ELEVATION OF EMBANKMENT

    LONGITUDINAL SECTION THROUGH STORAGE

    PLAN OF STORAGE

    NATURAL SURFACE

    BYWASH

    CONTOURS

    RETURNSLOPE

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    FIGURE A-2 ESTIMATION EARTHWORKS FOR A GULLY DAM

    Based on 1:3 batters internal and external.(Officers of Rural Water Advisory Services 1995, Gully Dams Estimating earthworksand storage volumes [Online]. Available: http://www.dnr.qld.gov.au [Accessed 20

    January 2001]).

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    FIGURE A-3 ESTIMATION OF CAPACITY FOR GULLY DAMS

    (Officers of Rural Water Advisory Services 1995, Gully Dams Estimating earthworksand storage volumes [Online]. Available: http://www.dnr.qld.gov.au [Accessed 20

    January 2001]).

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    A.3 Hillside Storages

    Hillside storages are built on the side of a hill that has no significant drainage line.They have three-sided or curved banks (see Photograph A-2). Catch drains are

    typically needed to ensure that that sufficient runoff enters the storage. These damshave poor storage ratios but can provide a gravity supply during irrigation. Abywash is required for such a dam. Figure A-4 shows a typical layout for a hillsidestorage.

    Storage capacity and embankment earthworks for hillside storages can be estimatedusing the same figure for a gully dam with higher k values around 1.2 to 1.6. (SeeFigure A-2 and Figure A-3). For large hillside storages it is appropriate to survey thesite and use computer software to accurately calculate earthworks.

    PHOTOGRAPH A-2 TYPICAL HILLSIDE STORAGE

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    FIGURE A-4 TYPICAL LAYOUT FOR A HILLSIDE STORAGE

    (Fitzsimon, R. 1995, Planning Your Farm Dam [Online]. Available:http://www.dnr.qld.gov.au[Accessed 20 January 2001].

    CATCH

    CATCH

    DRAINDRAIN

    STONE PITCHINGPROTECTION AGAINST

    EROSION

    BYWASH FLOWS MUSTBE RETURNED TO THE

    BED OF THE DEPRESSIONBEFORE LEAVING THE

    TOPWATER

    LEVEL

    BYWASH RETURN SLOPEIS TO BE WELL GRASSED

    TO PREVENT EROSION

    BORROW PIT

    EXCAVATION

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    A.4 Ring Tanks

    A ring tank is built on flat ground and consists of a continuous bank that can be

    circular, square or rectangular (see Photograph A-3). They are filled by pumpingwater in from an external source. The bank earthworks are obtained from anexcavation inside the bank or from an external sump. Some stored water is belowthe natural surface level and has to be pumped out when needed.

    Ring tanks with high embankments are more expensive to construct due to the largeramount of soil moved. However, with an increased height, the volume of waterstored increases while the surface area of exposed water remains the same. This isdesirable for minimizing evaporation losses in proportion to the volume of waterbeing stored. S:E ratios for ring tanks are discussed in Section A.6. Figure A-5 can beused to estimate earthworks requirements for round ring tanks, while Table A-1 and

    Table A-2 give earthworks estimations for rectangular ring tanks.

    PHOTOGRAPH A-3 TYPICAL RING TANK (SHOWING ADJACENT WATERCOURSEAND EXTERNAL SUMP ON TWO SIDES)

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    FIGURE A-5- EARTHWORKS ESTIMATION FOR ROUND RING TANKS

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    TABLE A-1 EARTHWORKS ESTIMATION FOR RECTANGULAR RING TANKS(UP TO 75 ML)

    Square Rectangular

    Length at TWL = width at TWL Length at TWL = 2.0 x width at TWL

    CapacityEmb.Height

    FillEarthworks

    BorrowDepth

    OutsideToe

    Length

    OutsideToe

    Width

    FillEarthworks

    BorrowDepth

    OutsideToe

    Length

    OutsideToe

    Width

    (ML) (m) (m) (m) (m) (m) (m) (m) (m) (m)

    5 2 - - - - - - - -

    5 3 - - - - - - - -

    5 4 - - - - - - - -

    5 5 - - - - - - - -

    5 7 - - - - - - - -

    10 2 7300 4.0 89 89 - - - -

    10 3 - - - - - - - -10 4 - - - - - - - -

    10 5 - - - - - - - -

    10 7 - - - - - - - -

    15 2 9400 1.7 111 111 9700 2.0 144 85

    15 3 - - - - - - - -

    15 4 - - - - - - - -

    15 5 - - - - - - - -

    15 7 - - - - - - - -

    20 2 11200 1.2 130 130 11700 1.4 170 98

    20 3 13700 13.4 97 97 - - - -

    20 4 - - - - - - - -

    20 5 - - - - - - - -

    20 7 - - - - - - - -

    30 2 14300 0.8 161 161 14900 0.9 214 120

    30 3 17700 8.7 120 120 - - - -

    30 4 - - - - - - - -

    30 5 - - - - - - - -

    30 7 - - - - - - - -

    40 2 16900 0.7 188 188 17700 0.7 252 139

    40 3 21000 3.1 138 138 21900 3.8 181 106

    40 4 - - - - - - - -

    40 5 - - - - - - - -

    40 7 - - - - - - - -50 2 19200 0.6 211 211 20100 0.6 285 155

    50 3 24000 2.3 155 155 25000 2.6 205 117

    50 4 - - - - - - - -

    50 5 - - - - - - - -

    50 7 - - - - - - - -

    Inputs: Crest Width 5m, Internal Batter 1:4, External Batter 1:2, Freeboard 1.0m,Corner Radius 0m, includes 0.5m deep cutoff trenchNotes: capacity includes borrow volume, embankment height is above naturalsurface, assumes flat surface, borrow depth assumes all borrow taken from inside,

    No value (-) indicates require external borrow.

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    TABLE A-2 EARTHWORKS ESTIMATION FOR RECTANGULAR RING TANKS(75 ML TO 500 ML)

    Square Rectangular

    Length at TWL = width at TWL Length at TWL = 2.0 x width at TWL

    CapacityEmb.Height

    FillEarthworks

    BorrowDepth

    OutsideToe

    Length

    OutsideToe

    Width

    FillEarthworks

    BorrowDepth

    OutsideToe

    Length

    OutsideToe

    Width

    (ML) (m) (m) (m) (m) (m) (m) (m) (m) (m)

    75 2 24100 0.4 261 261 25300 0.5 355 191

    75 3 30300 1.5 190 190 31700 1.6 254 142

    75 4 37700 5.7 159 159 - - - -

    75 5 - - - - - - - -

    75 7 - - - - - - - -

    100 2 28200 0.4 303 303 29700 0.4 415 221

    100 3 35600 1.2 220 220 37300 1.3 297 163100 4 44600 3.4 184 184 46600 4.1 243 139

    100 5 - - - - - - - -

    100 7 - - - - - - - -

    150 2 35200 0.3 374 374 37000 0.3 515 271

    150 3 44500 0.9 270 270 46700 0.9 367 199

    150 4 56100 2.2 225 225 58800 2.4 301 168

    150 5 68400 6.1 198 198 - - - -

    150 7 - - - - - - - -

    200 2 41000 0.2 434 434 43200 0.2 600 313

    200 3 52000 0.7 313 313 54700 0.8 427 229

    200 4 65800 1.7 259 259 69200 1.8 350 192200 5 80700 3.9 228 228 84700 4.6 304 171

    200 7 - - - - - - - -

    300 2 50900 0.2 534 534 53700 0.2 742 384

    300 3 64700 0.5 384 384 68100 0.6 528 279

    300 4 82200 1.2 317 317 86500 1.3 432 233

    300 5 101300 2.5 278 278 106500 2.8 375 207

    300 7 - - - - - - - -

    400 2 59200 0.2 619 619 62500 0.2 861 444

    400 3 75300 0.5 444 444 79400 0.5 612 321

    400 4 96000 1.0 366 366 101100 1.1 501 268

    400 5 118600 2.0 320 320 124900 2.2 435 236

    400 7 166700 8.1 268 268 - - - -

    500 2 66500 0.1 694 694 70200 0.1 967 496

    500 3 84700 0.4 496 496 89400 0.4 687 358

    500 4 108100 0.9 409 409 114000 0.9 562 298

    500 5 133900 1.7 358 358 141100 1.8 488 263

    500 7 189200 5.6 298 298 199000 6.9 400 223

    Inputs: Crest Width 5m, Internal Batter 1:4, External Batter 1:2, Freeboard 1.0m,Corner Radius 0m, includes 0.5m deep cutoff trenchNotes: capacity includes borrow volume, embankment height is above naturalsurface, assumes flat surface, borrow depth assumes all borrow taken from inside,

    No value (-) indicates require external borrow.

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    A.5 Excavated Sumps

    Excavated sumps are fully cut below the natural surface level (see Figure A-6). The

    excavated material is generally not required for the bank but is stockpiled nearby ordisposed of. These sumps are ideally built in clay soils or, where this is not possible,should have a clay lining. When excavated to a reasonable depth, this type ofstorage can have the advantage of relatively low evaporation losses, however the S:Eratio is typically in the order of 0.9-1.0, which is not very efficient. Photograph A-4 isan example of a sump constructed adjacent to a ring tank. In this case the excavatedmaterial can be used for the construction of the ring tanks embankment.

    With the proper soil conditions, an excavated sump can also be designed to act as asoakage or seepage tank. This setup is possible when the local water table isrelatively close to the surface and underlain by an impermeable rock layer. The

    sump is excavated into pervious soil to a depth below the water table. The sump isthen filled naturally by groundwater flows. In this situation, a clay lining is notrequired and can even prove to be counterproductive.

    Freeboard is not usually required unless the sump is intended to intercept significantdrainage from surrounding areas. On a typical flat site, a bywash is usually onlyrequired to divert excess runoff in a desired direction.

    Figure A-7 and Table A-4 can be used to estimate the capacities for excavatedsumps.

    PHOTOGRAPH A-4EXCAVATED SUMP ADJACENT TO RING TANK

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    FIGURE A-6 TYPICAL LAYOUT OF EXCAVATED SUMPS

    (Nelson, K.D. 1985, Design and Construction of Small Earth Dams, Inkata Press Pty Ltd,Melbourne.)

    1000 m3= 1ML

    FIGURE A-7 EARTHWORKS/CAPACITY CALCULATIONS FOR EXCAVATED SUMPS

    3

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    TABLE A-3 EARTHWORKS ESTIMATION FOR EXCAVATED SUMPS

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    TABLE A-4 EARTHWORKS ESTIMATION FOR EXCAVATED SUMPS (CONTINUED)

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    A.6 Storage Efficiency

    Storage efficiency is measured by the storage to excavation ratio (S:E ratio) or capital

    cost/ML.

    The S:E ratio is calculated as:

    )(mVolumeExcavation

    1000x(ML)CapacityStorageratioSE

    3=

    Capital cost/ML is calculated as:

    )($/mRateEarthworksx)(mVolumeExcavation

    (ML)CapacityStorage

    ($/ML)cost/MLCapital 33=

    Each type of storage has different S:E ratios. Figure A-8 shows the range in S:E ratiofor various storage types. It shows the S:E ratio is 1 or less for excavated sumps. Forring tanks the S:E ratio can range from below 2 for small volumes (

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    FIGURE A-8 S:E RATIOS FOR DIFFERENT DAM TYPES

    TABLE A-5 APPROXIMATE COSTS AND S:E RATIOS FOR DIFFERENT DAM TYPES

    Dam Type Capacity S:E RatioEarthworksCost $/m3

    Cost $/ML

    1 ML 0.9 3.00 3300ExcavatedTank 5 ML 0.9 2.00 2200

    10 ML 2.0 2.00 1000HillsideStorage 100 ML 4.0 1.50 375

    10 ML 3.0 2.00 666Gully Dam

    100 ML 6.0 1.50 250

    100 ML (Square) 1.9 1.50 830Ring Tank

    1000 ML (Round) 5.9 1.00 175

    S:E~ 5 to 20

    S:E~2 to 15

    S:E~ 0.8 to 1

    S:E~ 2 to 5

    HILLSIDE STORAGEOR

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    A.6.1 Embankment Height

    Three main factors influence the optimal height of embankment:

    Cost of earthworks Value of water lost to evaporation Value of land lost to the storage

    Increasing embankment height reduces storage efficiency (S:E ratio) because thevolume of earthworks increase disproportionately with height (ieearthworks ~ height). Also, construction standards are more important for damswith greater embankment heights, and this can increase the cost and risk involved.However, to hold the same volume of water, low banked ring tanks need a greatersurface area than high banked ring tanks and therefore incur greater evaporativelosses. Table A-6 shows the increase in earthworks for a 200 ML ring tank withdifferent embankment heights.

    Evaporation is not seen as a significant factor in the Bundaberg/sugar cane case,because harvested water is generally irrigated soon after collection and is not storedfor extended periods (usually less than 4 months of the year). Also, the netevaporation from open water surfaces in the Bundaberg area averages around0.1 m/yr. Based on these figures the evaporation per year from a farm dam could bealmost negligible. However, this might not be the case in the dryer areas west ofBundaberg.

    The footprint of a dam reduces as the embankment height increases. Reducing theamount of cropland lost to the storage tank may be a high priority if there is limitedcropping land available. However, this might not be as important as first thought asshown in the analysis below.

    The relationship between embankment height and cost has been analysed todetermine the optimum height for the Bundaberg area. The earthworks cost and thecost of lost productive land has been included in the analysis. Evaporation was notseen as a significant cost as outline above.

    A square 100 ML ring tank was used for the analysis. Assumptions were also madeas to the earthworks rate ($1.50/m) and cost of land ($6000/ha). The results of theanalysis are shown in Table A-7 and presented graphically in Figure A-9. The results

    show the optimum height to be 2.5 m. To be conservative and allow for some effectof evaporation the optimum height could be slightly higher at 3.0 m. This is aninteresting result as the optimum height for ring tanks on the Darling Downs isgenerally thought to be 5 to 7 m.

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    TABLE A-6 HEIGHT VS. EARTHWORKS FOR A 200 ML RING TANK

    CaseHeight

    (m)Earthworks

    (m3)S:E ratio

    Footprint(ha)

    Increase in Cost(referenced to Case 1)

    1 3.5 59500 3.5 7.9 -

    2 4.5 74600 2.8 5.8 25%

    3 5.5 90500 2.3 4.6 52%

    4 6.5 106500 1.9 3.8 79%

    Note: Based on square shape, crest width = 5 m, inner batter slope = 4:1, outer batterslope = 2:1

    TABLE A-7- EMBANKMENT HEIGHT VS COST

    Earthworks Cost Lost Land CostEmbankmentHeight

    (m)Volume

    (m)Rate($/m)

    CostArea(ha)

    LandValue($/ha)

    CostTotal Cost

    1.5 16660 1.50 $ 24,990 11.4 6000 $ 68,400 $ 93,390

    2.5 27233 1.50 $ 40,849 6.4 6000 $ 38,400 $ 79,249

    3.5 40270 1.50 $ 60,405 4.9 6000 $ 29,400 $ 89,805

    4.5 55583 1.50 $ 83,374 4.2 6000 $ 25,200 $ 108,574

    5.5 73167 1.50 $109,750 3.8 6000 $ 22,800 $ 132,550

    Note: Based on square shape, crest width = 4 m, inner batter slope = 4:1, outer batter

    slope = 2:1, freeboard = 0.5m

    $-

    $20,000

    $40,000

    $60,000

    $80,000

    $100,000

    $120,000

    $140,000

    0 1 2 3 4 5 6

    Embankment Height

    C

    ost($) Earthworks Cost

    Lost Land

    Total Cost

    FIGURE A-9- EMBANKMENT HEIGHT VS COST

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    A.6.2 Shape

    For a given storage volume, various shapes of ring tanks will require differentearthworks volumes. For example, circular tanks require the minimum amount of

    earthworks for a given storage volume. Circular tanks therefore have higher S:Eratios. Since cost generally increases linearly with earthworks, circular tanks are theleast expensive tanks to build. However, most sites do not suit a circular ring tank interms of using the available ground most efficiently. Therefore, the higher cost of asquare or rectangular ring tank can often be offset by the benefit of long-term farmefficiency.

    Table A-8 shows the difference in cost for different shaped 200 ML ring tanks.

    TABLE A-8 COMPARISON OF DIFFERENT SHAPED 200 ML RING TANKS

    ShapeEarthworks

    (m3)S:E Ratio

    Footprint(ha)

    Increase in cost(referenced tocircular tank)

    Circular 74 100 2.8 5.1 -

    Square 82 400 2.5 5.1 11%

    Rectangular # 93 800 2.2 5.1 27%

    Note: Based on height = 5.0 m, crest width = 5 m, inner batter slope = 4:1, outer batterslope = 2:1, freeboard 1m#Rectangular: Length at centreline = 3 x width at centreline