By plotting the heavy-faced figures we find that 10 and 60 per cent are respectively finer than .055 and .46 millimeter, and we have effective size .055 millimeter and uniformity coefficient 8.

The effective size and uniformity coefficient calculated in this way have proved to be most useful in various calculations, particularly in estimating the friction between the sands and gravels and water. The remainder of the article in the Report of the Mass. State Board of Health is devoted to a discussion of these relations which were mentioned in Chapter III of this volume.

APPENDIX IV.
FILTER STATISTICS.

STATISTICS OF OPERATION OF SAND FILTERS.
Place.Year Ending.Total
Quantity
of Water
filtered
for
One Year.
Million
Gallons.
Million
Gallons
Daily.
Area
of
Filters
in use,

Acres.
Average
Daily
Yield,

Million
Gallons
per Acre.
Area of
Filter
Surface
cleaned
in One
Year,

Acres.
Period,
Million
Gallons
per Acre
filtered
between
Scrapings.

Altona

March,18951,6204.443.081.4531.052
March,18961,7304.753.081.5548.536
March,18971,9605.403.081.7544.045
March,18981,9405.303.081.7236.553

Amsterdam, River

Dec.,18941,3903.805.430.712362
Dec.,18961,4904.085.430.754831
Dec.,18971,6004.405.430.813053

Amsterdam, Dunes

Dec.,18942,3306.404.941.2911620
Dec.,18962,3606.504.751.379026
Dec.,18972,2906.254.751.3110921

Ashland, Wis

Feb.,18973981.090.502.184.8383

Berlin, total

Mar.,189613,00035.6025.101.42
Mar.,189712,90035.4025.101.40
Mar.,189813,20036.2027.001.34

Bremen

Mar.,18951,1903.272.511.315024
Mar.,18961,2203.343.211.0432.538
Mar.,18971,2803.503.211.0925.250
Mar.,18981,4004.103.211.2834.041

Breslau

Mar.,18952,8407.805.121.524564
Mar.,18962,9608.105.121.5840.074
Mar.,18972,9908.205.121.603781
Mar.,18983,0608.405.121.644371

Brunn

Dec.,18961,1103.041.621.878.6128
Dec.,18971,1903.251.622.009.1131

Brunswick

Mar.,18958152.231.481.5114.855
Mar.,18968402.301.481.5613.363
Mar.,18978202.251.481.5213.760
Mar.,18988702.381.481.6111.973

Budapest

Dec.,18927,36020.203.006.7025429

Copenhagen

Dec.,18952,3306.402.882.224552
Dec.,18962,4906.802.882.355248
Dec.,18972,5807.102.882.475448

Dordrecht

Dec.,18943651.000.561.79

Frankfort on Oder

Dec.,18953100.850.372.282.9107
Dec.,18963250.890.372.407.444
Dec.,18973560.980.372.658.841

Hamburg

Dec.,189411,45031.4034.00.9235033
Dec.,189511,70032.1034.00.9427543
Dec.,189611,50031.7034.00.9326643
Dec.,189712,00032.7034.00.9628542
Dec.,189811,90032.6043.00.7624648

Hudson, N. Y.

Dec.,18926971.910.742.58
Dec.,18935431.490.742.01
Dec.,18955351.460.741.98

Ilion, N. Y.

Feb.,18991820.500.143.571.40130

Königsberg

Mar.,18951,0602.902.701.0738.527
Mar.,18961,0852.972.701.1035.031
Mar.,18971,0852.972.701.1041.027
Mar.,18981,1403.122.701.1644.026

Lawrence

Dec.,18941,0502.882.501.1510105
Dec.,18951,0973.002.501.202741
Dec.,18961,1013.022.501.203037
Dec.,18971,1143.062.501.224127

Liverpool

Dec.,18968,52023.4010.922.1415854

[53]London, all filtersbut not includingground water

Dec.,189265,783180109.751.64 90
Dec.,1893 195116.001.68
Dec.,189468,700188117.001.60
Dec.,189576,900210123.751.70
Dec.,189672,482198123.751.60
Dec.,189773,340201125.001.61

London, Chelsea

Dec.,18975,37014.708.001.85

E. London

Dec.,189718,00049.0031.001.58

Grand Junction

Dec.,18978,56023.4021.751.07

Lambeth

Dec.,189710,37028.4012.252.30

New River

Dec.,189715,75043.0016.502.60

Southwark & Vauxhall

Dec.,189714,80040.5020.501.98

West Middlesex

Dec.,18978,91024.3015.001.61

Lübeck

Mar.,18951,5204.151.402.9516.294
Mar.,18961,6004.381.403.1324.466
Mar.,18971,6504.501.403.2227.061
Mar.,18981,7504.801.403.4238.545

Magdeburg

Mar.,189518805.153.761.3747.540
Mar.,189619505.353.761.4265.030
Mar.,189718805.153.761.3759.032
Mar.,189820705.663.761.5063.033

Mt. Vernon, N. Y

Dec.,18954931.351.101.227.368
Dec.,18966081.661.101.519.266
Dec.,18978082.211.102.0016.649
Dec.,18989332.561.102.3418.451

Posen

Mar.,18953050.840.701.2010.330
Mar.,18963460.940.701.3510.433
Mar.,18973250.890.701.2710.132
Mar.,18983600.990.701.429.638

Poughkeepsie

Dec.,18926961.910.682.8114.050
Dec.,18936671.830.682.7012.056
Dec.,18946331.730.682.551445
Dec.,18956861.880.682.771449
Dec.,18966641.820.682.68973
Dec.,18976151.691.361.24
Dec.,18986111.671.361.2310.8857

Rostock

June,18975601.541.111.389.360
June,18986251.711.111.559.070

Rotterdam

Dec.,1893485013.306.302.11

Stettin

Mar.,189511303.102.261.3726.543
Mar.,189610302.832.261.2515.566
Mar.,18979802.702.261.1916.161
Mar.,189810202.802.261.2420.350

Stockholm

Dec.,189523756.502.782.3370.034
Dec.,189625006.852.782.4568.037
Dec.,189727507.503.602.0876.036

Stralsund

Mar.,18972150.591.110.5316.013
Mar.,18982100.581.110.5117.312

Stuttgart

Mar.,189510402.851.461.9613.776
Mar.,189612203.341.662.0417.769
Mar.,189712703.482.321.5018.768
Mar.,189813203.602.321.5420.265

Utrecht

Dec.,18965101.400.602.333116

Zürich

Dec.,189120105.500.846.508250
Dec.,189221505.900.847.0010215
Dec.,189323106.381.195.3513177
Dec.,189422506.151.195.1817133
Dec.,189524606.701.195.622791
Dec.,189623606.451.663.883079
Dec.,189725006.841.664.133571
Dec.,189827307.501.664.504758
PARTIAL LIST OF CITIES USING SAND FILTERS.
Place.When
Built.
Population.
1890.
Area
of
Filters.
Number
of
Filters.
Average
Daily
Consumption.
UNITED STATES.
Poughkeepsie. N. Y.187224,0001.3631.67
Hudson, N. Y.18749,9700.7421.50
St. Johnsbury, Vt.187(?)3,8570.1430.70
Nantucket, Mass.18933,2680.1110.09
Lawrence, Mass.189344,6542.5013.00
Ilion, N. Y.18934,0570.1420.50
Mount Vernon, N. Y.189410,8301.1031.66
Grand Forks, N. D.18944,9790.421....
Milford, Mass.18959,9560.2510.70
Ashland, Wis.18959,9560.5031.09
Hamilton, N. Y.18951,7440.1210.03
Lambertville, N. J.18964,1420.2820.25
Far Rockaway, N. Y.18962,2880.9220.93
Red Bank, N. J.18975000.0320.10
Somersworth, N. H.18976,2070.501....
Little Falls, N. Y.18988,7830.761....
Berwyn, Penna.18988260.523....
Harrisburg, Penna.18991,2000.1220.15
Albany, N. Y.189994,9235.60811.00[54]
Rock Island, Illinois189913,6341.2033.50
Total....259,77417.314526.87
BRITISH COLUMBIA.
Victoria....16,8410.8231.80
SOUTH AMERICA.
Buenos Ayres....500,0004.153....
Montevidio........Filtersreported....
HOLLAND.
Amsterdam....555,82110.181211.20
Rotterdam....290,0006.301813.00
The Hague....191,0002.8864.20
Schiedam....25,3001.3350.68
Utrecht....140,0000.60....1.40
Groningen....57,9000.592....
Dordrecht....34,1000.5621.00
Leeuwarden....30,7000.312....
Vlaardingen....................
Sliedrecht....................
Gorinchem....10,000............
Zutphen....18,000............
Leyden....44,200............
Enschede....................
Middelburg....17,000............
Total....1,414,02122.754731.48
GREAT BRITAIN.
London....5,030,267125.00120200.00
Liverpool....790,00010.92....26.67
Dublin....349,0005.001018.00
Leeds....420,0006.00817.99
Bradford....436,2604.62613.31
Leicester....220,0052.50....4.75
York....72,0832.0463.00
Edinburgh....292,3642.00418.00
Darlington....43,0001.327....
Wakefield....36,8151.25........
Carlisle....40,0000.90........
Dumfries....17,8210.25........
Accrington....42,000............
Birmingham....680,140........19.05
Blackburn....130,000........4.10
Bolton....250,000........6.60
Chester....40,000............
Halifax....217,000........5.18
Hereford....20,000............
Middlesborough....187,331........11.39
Newcastle....320,000........14.00
Oldham....145,800........5.30
Oxford....53,000........1.59
Preston....113,864........4.20
Reading....71,558........3.00
Southampton....76,430........3.45
Wigan....60,000........1.22
Worcester....45,000........1.93
Total....10,199,738161.80161382.73
GERMANY.
Hamburg....661,20042.002233.00
Berlin....1,746,42431.455536.00
Breslau....380,0005.1258.20
Magdeburg....217,0673.76115.66
Bremen....157,5003.21123.50
Altona....162,4273.08135.40
Königsberg....176,0002.7073.00
Stuttgart....162,5162.32....4.00
Stettin....145,0002.2693.00
Lübeck....70,0001.4064.50
Brunswick....100,8831.4842.30
Stralsund....30,1051.1160.60
Rostock....49,8911.1131.54
Lignitz....46,8520.9661.40
Posen....75,0000.7040.90
Schwerin....36,0000.6540.50
Chemnitz....164,7430.593....
Worms....30,0000.5030.64
Ratibor....20,7290.423....
Frankfort on Oder....59,1610.3750.89
Kiel....69,2140.31....1.50
Tilsit....30,0000.25....0.20
Brieg....20,1540.204....
Gluckstadt....6,2140.14....0.10
Wandsbeck....22,0000.13....0.30
Total....4,639,080106.22185117.13
OTHER EUROPEAN FILTERS.
Warsaw....500,0006.20126.00
St. Petersburg....954,0005.851139.00
Odessa....380,0004.7558.00
Choisy le Roi and....}200,000{3.852510.00
Neuilly sur Marne....2.3115....
Copenhagen....340,0002.8896.80
Stockholm....274,0002.78....7.00
Antwerp....240,0002.1082.00
Zürich....96,8391.66....7.00
Brunn........1.62....3.04
Constantinople, South side........0.743....
Total....2,984,83934.748888.84
ASIA.
Blandarwada, India........1.976....
Agra, India........1.37........
Bombay, India....821,0001.224....
Shanghai, China........0.884....
Hong Kong........0.676....
Yokohama, Japan....110,0000.583....
Calcutta, India....466,000............
Tokyo, Japan....................
Baroda, India....................
Allahabad, India....................
Total....1,397,0006.6923
SUMMARY.
United States....259,77417.314526.87
British Columbia....16,8410.8231.80
South America....500,0004.153....
Holland....1,414,02122.754731.48
Great Britain....10,199,738161.80161382.73
Germany....4,639,080106.22185117.13
Other European countries....2,984,83934.748888.84
Asia....1,397,0006.6923....
Total....21,411,293354.48555648.85
LIST OF CITIES AND TOWNS USING MECHANICAL FILTERS.
ARRANGED BY POPULATIONS.

Abbreviations.--P., Pressure filters; G., Gravity filters; J., Jewell system; N. Y., New York system;W., Warren system; C., Continental system; Am., American system.

Place.Population,
1890.
Filters
First
Installed.
Nominal
Capacity
of Filters,
1899.
Million
Gallons.
Average
Consumption,
Million
Gallons:
Water Works
Manual.
Area of
Filters,
Sq. Ft.,
1899.
Filter
System.
Denver, Col.108,204 2260Special.
Atlanta, Ga.65,533188784.542056N. Y. P.
St. Joseph, Mo.52,324189810.2 3842J. G.
Oakland, Cal.48,68218915101960N. Y. P.
Kansas City, Kan.38,3161898622260J. G.
Wilkesbarre, Pa.[55]37,718 10 3166J. G.
Norfolk, Va.34,871189963.52112J. G.
Augusta, Ga.33,300189963.82112N. Y. G.
Quincy. Ill.30,494189241.21582J. G.
Dubuque, Iowa[56]30,31118992 880J. G.
Terre Haute, Ind.30,217189043{1076
226
N. Y. P.
J. G.
Elmira, N. Y.29,7081897632034J. G.
Chattanooga, Tenn.29,10018879 2080J. & N. Y. P.
Davenport, Iowa26,87218917.532380Am. P.
Little Rock, Ark.25,87418915.5 1544Am., J., & N. Y. P.
Winnipeg, Mann.25,64218871.5390N. Y.P.
Oshkosh, Wis.22,83618912.42.1550W. G.
Macon, Ga.22,746189341.651437J., W., & N. Y.
Burlington, Ia.22,56518943.5 1243J. G.
Knoxville, Tenn.22,535189451.931404W. G.
Lexington, Ky.21,567189521.2678J. G.
Kingston, N. Y.21,261189741.51120N. Y. P.
York, Penna.20,793189942.371408J. G.
Biddeford, Maine20,500189632780W. G.
Newport, R. I.19,467 42.1 Special.
Bangor, Maine19,1031897531404W. G.
Cedar Rapids, Ia.18,02018962.52905J. G.
Elgin, Ill.17,82318884.31780Am. P.
Decatur, Ill.16,8411893321008W. G.
Belleville, Ill.15,361 10.6339J. G.
Columbia, S. C.15,35318923 678J. G.
Keokuk, Ia.14,10118933 980N. Y. P.
Ottumwa, Ia.14,001189521.2678J. G.
Rock Island, Ill.[55]13,634 23.5452J. G.
Raleigh, N. C.12,678188711296N. Y. P.
Shreveport, La.11,97918891 312N. Y. P.
New Castle, Penna11,6001898421408N. Y. G.
Charlotte, N. C.11,557189610.5530N. Y. G.
Nebraska City, Neb.11,49418910.40.7116N. Y. P.
Streator, Ill.11,414 21.3100Western & Am. P.
Hornelsville, N. Y.[56]10,96618993 700N. Y. P.
Augusta, Maine10,52718870.61.6100W.
St. Thomas, Ont.10,37018912.50.6700N. Y. P.
Cairo, Ill.10,32418890.82.5197N. Y. P.
Alton, Ill.10,2941898311056N. Y. G.
Asheville, N. C.10,235188910.35312N. Y. P.
Greenwich, Conn.10,131188720.4592N. Y. P.
Huntington, W. Va.10,10818992 704N. Y. G.
Beaver Falls, Pa.9,735 24.5 N. Y.
Champaign, Ill.[55]9,719 0.75 N. Y.
Chatham, Ont.9,052189510.4280N. Y. P.
Adrian, Mich.8,75618991.750.45565J. G.
Athens, Ga.8,639189310.45420W. G.
East Providence, R. I.8,42218990.5 176J. G.
Winston, N. C.8,01818950.50.3156W. G.
Danville, Penna.7,998189611226J. G.
Clarksville, Tenn.[56]7,92418991.50.5704J. G.
Stevens Point, Wis.7,89618890.50.25156N. Y. P.
Carlisle, Pa.7,62018961.5 339J. G.
Calais, Me.7,29018931.50.85275W. G.
Long Branch, N. J.7,231188831.3904N. Y. P.
Creston, Ia.7,20018910.50.3150J.
St. Hyacinthe, Que.7,016189810.84294J. P.
Rome, Ga.[56]6,95718991.51.3528J. G.
Westerly, R. I.6,81318961.50.375396N. Y. G.
Merrill, Wis.6,80918971 339J. G.
Dennison, Ohio[56]6,76718991.251528J. G.
Parsons, Kan.6,736189420.6452J. G.
Waterloo, Iowa6,67418911.50.7565J. G.
Somerville, N. J.6,41718851.90.75552N. Y. P.
Athol, Mass.6,31918881.50.5350N. Y. P.
Owego, N. Y.6,200188710.75234N. Y. P.
Brunswick, Maine6,01218870.60.33100W.
Bucyrus, Ohio5,97418870.50.55156N. Y. P.
Warren, Ohio5,97318961.51.5462W. G.
Hopkinsville, Ky.5,83318950.50.15140N. Y. P.
Brainerd, Minn.5,70318970.5 156N. Y. P.
New Brighton, Pa.5,61618890.5 156N. Y. P.
Niagara Falls, N. Y.5,50218964.52.621019J. G.
Durham, N. C.548518930.90.7252W. G.
Winfield, Kan.518418941 336W. G.
Louisiana, Mo.509018880.8 242N. Y. P. & G.
Trenton, Mo.503918890.4 128N. Y. P.
Lorain, Ohio4863189631.51356J. G.
Sidney, Ohio[55]4850 0.5 N. Y.
Mexico, Mo.478918890.30.466N. Y. P.
Mt. Clemens, Mich.4748188810.6251N. Y. P.
Riverside, Cal.468318920.09 20N. Y. P.
Columbus, Miss.[56]455918990.50.175176J. G.
Winchester, Ky.451918940.750.107152J. P.
Salisbury, N. C.441818890.50.35156N. Y. P.
Eufaula, Ala.439418970.5 140N. Y. P.
Greenville, Tex.433018880.80.175156N. Y. P.
Exeter, N. H.428418870.1140.17934N. Y. P.
Bordentown, N. J.423218900.50.5156N. Y. P.
Lake Forest, Ill.420318921 168J. P.
Henderson, N. C.419118990.25 118W. G.
Reading, Mass.4088189610.198336W. G.
Goldsboro, N. C.401718960.50.1156W. G.
Rich Hill, Mo.400818930.50.24140N. Y. P.
Mt. Pleasant, Ia.399718880.5 156N. Y. P.
Murphysboro, Ill.388018900.2 60N. Y. P.
Brandon, Manitoba3778189310.36240N. Y. P.
Danville, Ky.376618940.50.1140N. Y. P.
Royersford, Pa.3612189310.08226J. G.
Warsaw, Ind.351418960.50.5156N. Y. P.
Ashbury Park, N. J.3500 20.5670C.
Keyport, N. J.341118950.50.06156W. G.
Deseronto, Ont.333818960.50.84147J. P.
Milledgeville, Ga.332218930.5 156N. Y. P.
Carlinville, Ill.3293 0.1 38Am. or Jackson.
Gettysburg, Pa.322118940.30.07578W. G.
Independence, Kan.312718910.750.25129Am. P.
LaGrange, Ga.309018930.25 34N. Y. P.
Paola, Kan.294318870.250.4566N. Y. P.
Benwood, W. Va.[56]293418991 306J. G.
Gadsden, Ala.290118871.325 430N. Y. P. & G.
Lamar, Mo.286018910.25 78N. Y. P.
Longueuil, Que.275718950.40.3100N. Y. P.
Washington, Mo.272518880.20.07550N. Y. P.
Renfrew, Ont.261118970.432 100N. Y. P.
Oswego, Kan.257418930.50.3140N. Y. P.
Holden, Mo.252018930.20.05100N. Y. P.
Burlington, Kan.2239 0.5 79J.
Council Grove, Kan.221118980.50.0878N. Y.
Wakefield, R. I.[56]2170 0.150.25 N. Y.
Catonsville, Md.211518900.25 78N. Y. P.
Attica, N. Y.199418960.4 100N. Y. P.
Hightstown, N. J.187518990.250.02578N. Y. G.
No. Berwick, Me.180318960.3 78W. G.
Dunnville, Ont.177618990.5 140N. Y. P.
Rogers Park, Ill.170818890.40.35100N. Y. P.
Eatonton, Ga.168218970.5 132N. Y. G.
Caldwell, Kan.164218900.5 156N. Y. P.
LaGrange, Tex.162618910.25 34N. Y. P.
Richfield Springs, N. Y.162318890.35 100N. Y. P.
Valatie, N. Y.143718940.15 50N. Y.
Tunkhannock, Pa.1253 0.1 N. Y.
Mechanics Falls, Me.103018980.72 176W. G.
New Bethlehem, Pa.102618990.1 50J. G.
Fairmount, W. Va.102318981 280N. Y. P.
Atlantic Highlands, N. J.945 0.30.109130C.
Rumford Falls, Me.89818970.5 113W. G.
Lakewood, N. J.73018890.5 156N. Y. P.
Veazie, Me.650188910.1176W. G.
Portersville, Cal.60618900.1510.06034N. Y. P.
Holmesburg, Pa. 189610.046280N. Y. P.
Pickering Creek, Pa. 18960.75 234W. G.
Overbrook, Penna. 18950.25 78W. G.
Vandergrift, Pa. 18970.5 156W. G.
Frazerville, P. Q.[56] 18990.2 78N. Y. G.
Arnate, Pa. 18990.12 50N. Y. G.
Chihuahua, Mex.[56] 18991 612J. G.
West Reading, Pa. 0.07 W. G.
Totals1,565,881 25210877,806

Special filters, neither sand nor mechanical: Wilmington, Del.; Pop., 61,431; area, 10,000 sq. ft.; nominal capacity, 10 million gallons. See Eng. News, Vol. 40, p. 146.

NOTES REGARDING SAND FILTERS IN THE UNITED STATES.

Poughkeepsie, N. Y. Designed by James P. Kirkwood, built in 1872, was the earliest of its kind in the United States. It was enlarged by the Superintendent, Charles E. Fowler, in 1896. The walls of the original filters were of rubble, and in course of time developed cracks and leaked badly. The walls of the new filter are of rubble, faced with vitrified brick. The filters treat the water of the Hudson River, which is sewage-polluted and more or less muddy. Description: Jour. N. E. Water Works Assoc., Vol. 12, p. 209.

Hudson, N. Y. Designed by James P. Kirkwood, built in 1874. enlarged in 1888. The filters are open and are used for treating the Hudson River water, which is sewage-polluted and more or less muddy. Description: Eng. News, Vol. 31, p. 487.