Curva Masa - Curva Duracion Ceroo de Pasco

CAUDALES

CM CD HUAYAOCAUDALES MEDIOS MENSUALES (m3/s)Estacion: HUAYAOAOENEFEBMARABRMAYJUNJULAGOSETOCTNOVDIC196718.0934.4342.7516.7910.627.878.848.608.4117.0615.0917.99198125.3764.9744.7824.8212.279.308.1210.129.6017.7219.9038.59198246.8452.3336.8424.4713.3512.0610.6210.5712.1717.5922.0925.47198331.5630.4536.1031.7212.8411.449.589.2411.9613.0513.5122.39198434.28105.9365.6346.5514.3011.8010.5311.1910.1613.6718.3724.65198520.5645.1043.7237.7219.4511.709.989.3011.9513.3416.7025.21198647.9871.3275.6036.8318.1111.1910.9611.0211.5812.4114.7013.81198760.3041.1322.9516.8512.3311.2411.689.639.9112.5215.6214.19198867.7049.9527.6728.3413.9010.299.207.209.4211.1113.6211.19198920.7438.7443.3132.5518.6612.5510.219.839.9615.0115.7714.88199027.8222.3815.6420.8212.3817.7012.3610.4212.1317.2944.6651.68199153.3355.1737.5527.3415.0213.518.818.827.789.8510.9311.24199213.8111.0913.9210.289.5010.5710.3310.109.0712.736.386.37PROM36.0347.9238.9627.3114.0611.6310.099.7010.3214.1017.4921.36CONSTRUCCION DE LA CURVA MASA1. Transformar los Q (mm3/s), a volumenes V(millones de m3)V = 0.0864QTDonde: V = volumen, en MM3 (millones de m3)T = nmero de das del mesQ = caudal en m3/s2. Acumular los volumenes y obtener la columna de vvolumenes acumuladosAOQDIASDIASVVOL acumuladom3/sACUMmm3mm3ENE36.03313196.50196.501FEB47.922859115.934212.434MAR38.963190104.346316.781ABR27.313012070.797387.578MAY14.063115137.648425.226JUN11.633018130.151455.377JUL10.093121227.035482.412AGO9.703124325.968508.381SET10.323027326.737535.118OCT14.103130437.776572.894NOV17.493033445.328618.222DIC21.363136557.207675.428Al unir las tangentes con una linea vertical tenemos lacapacidad mnima del embalse para satisfacer el caudal seguro QsQU = 150.00CONSTRUCCION DE LA CURVA DE DURACION1. Ordenar descendentemente los datos mensuales dandole una numeracin2. Luego calcular el promedio de estosAO123456789101112198042.7534.4318.0917.9917.0616.7915.0910.628.848.608.417.87198164.9744.7838.5925.3724.8219.9017.7212.2710.129.609.308.12198252.3346.8436.8425.4724.4722.0917.5913.3512.1712.0610.6210.57198336.1031.7231.5630.4522.3913.5113.0512.8411.9611.449.589.241984105.9365.6346.5534.2824.6518.3714.3013.6711.8011.1910.5310.16198545.1043.7237.7225.2120.5619.4516.7013.3411.9511.709.989.30198675.6071.3247.9836.8318.1114.7013.8112.4111.5811.1911.0210.96198760.3041.1322.9516.8515.6214.1912.5212.3311.6811.249.919.63198867.7049.9528.3427.6713.9013.6211.1911.1110.299.429.207.20198943.3138.7432.5520.7418.6615.7715.0114.8812.5510.219.969.83199051.6844.6627.8222.3820.8217.7017.2915.6412.3812.3612.1310.42199155.1753.3337.5527.3415.0213.5111.2410.939.858.828.817.78199213.9213.8112.7311.0910.5710.3310.2810.109.509.076.386.37PROM54.9944.6232.2524.7418.9716.1514.2912.5811.1310.539.689.03%8.3316.6725.0033.3341.6750.0058.3366.6775.0083.3391.67100.00Indica el % de tiempo durante el cual los caudales han sido igualados o excedidos

CM CD HUAYAO

TIEMPOV ACUM (mm3)CURVA MASA

CM CD CERRO DE PASCOCAUDALES MEDIOS MENSUALES (m3/s)Estacion: CERRO DE PASCOAOENEFEBMARABRMAYJUNJULAGOSETOCTNOVDIC196719.1233.1241.6516.2211.127.888.789.228.3217.2214.9628.00196824.8863.6544.5423.8512.128.807.9511.459.4517.4218.9037.85196946.1450.3235.4823.6512.8511.4810.3410.3612.2816.6821.1424.88197030.7530.4536.1031.7212.8411.449.589.2411.9613.0513.5122.39197134.2899.8462.1242.8512.2811.2310.4410.329.8512.7617.7422.85197221.1543.1042.2734.3318.8511.2012.2412.3211.4612.2815.4024.63197346.4268.2470.6032.8316.0810.0010.9611.0211.5812.4114.7035.43197458.8541.1322.9516.8512.3311.2411.689.639.9112.5215.6214.19197567.7049.9527.6728.3413.9010.299.208.859.4211.1113.6226.43197626.3638.7443.3132.5518.6612.5510.219.839.9615.0115.7714.88197727.8222.3815.6420.8212.3817.7012.3610.4212.1317.2932.4538.34197853.3353.0036.3226.4814.8612.288.327.948.9712.439.8710.86197913.8110.8512.879.468.789.9512.1312.119.1411.867.0528.83PROM36.2046.5237.8126.1513.6211.2310.3210.2110.3414.0016.2125.35CONSTRUCCION DE LA CURVA MASA1. Transformar los Q (mm3/s), a volumenes V(millones de m3)V = 0.0864QTDonde: V = volumen, en MM3 (millones de m3)T = nmero de das del mesQ = caudal en m3/s2. Acumular los volumenes y obtener la columna de volumenes acumuladosAOQDIASDIASVVOL acumuladom3/sACUMmm3mm3ENE36.20313196.96096.960FEB46.522859112.543209.503MAR37.813190101.268310.771ABR26.153012067.781378.552MAY13.623115136.478415.030JUN11.233018129.118444.148JUL10.323121227.647471.795AGO10.213124327.342499.138SET10.343027326.803525.941OCT14.003130437.506563.447NOV16.213033442.016605.463DIC25.353136567.900673.363Al unir las tangentes con una linea vertical tenemos lacapacidad mnima del embalse para satisfacer el caudal seguro QsQU = 136.00CONSTRUCCION DE LA CURVA DE DURACION1. Ordenar descendentemente los datos mensuales dandole una numeracin2. Luego calcular el promedio de estosAO123456789101112198041.6533.1228.0019.1217.2216.2214.9611.129.228.788.327.88198163.6544.5437.8524.8823.8518.9017.4212.1211.459.458.807.95198250.3246.1435.4824.8823.6521.1416.6812.8512.2811.4810.3610.34198336.1031.7230.7530.4522.3913.5113.0512.8411.9611.449.589.24198499.8462.1242.8534.2822.8517.7412.7612.2811.2310.4410.329.85198543.1042.2734.3324.6321.1518.8515.4012.3212.2812.2411.4611.20198670.6068.2446.4235.4332.8316.0814.7012.4111.5811.0210.9610.00198758.8541.1322.9516.8515.6214.1912.5212.3311.6811.249.919.63198867.7049.9528.3427.6726.4313.9013.6211.1110.299.429.208.85198943.3138.7432.5526.3618.6615.7715.0114.8812.5510.219.969.83199038.3432.4527.8222.3820.8217.7017.2915.6412.3812.3612.1310.42199153.3353.0036.3226.4814.8612.4312.2810.869.878.978.327.94199228.8313.8112.8712.1312.1111.8610.859.959.469.148.787.05PROM53.5142.8632.0425.0420.9616.0214.3512.3611.2510.489.859.24%8.3316.6725.0033.3341.6750.0058.3366.6775.0083.3391.67100.00Indica el % de tiempo durante el cual los caudales han sido igualados o excedidos

capacidad mnima de embalseQs%Q (m3/seg)CURVA DE DURACION

CM CD CERRO DE PASCO


CM CD LAIVECAUDALES MEDIOS MENSUALES (m3/s)Estacion: LAIVEAOENEFEBMARABRMAYJUNJULAGOSETOCTNOVDIC198081.11119.52132.1777.5542.7428.4933.3432.1231.1780.9768.6480.82198199.43175.24140.0498.1351.8935.7029.7640.0237.2685.2499.72128.031982143.89153.83124.5097.3058.1950.7042.7042.4851.3584.38114.7999.681983113.41111.00122.99113.7655.1747.2537.2035.3950.1856.4159.1192.231984119.22235.27176.31143.3463.8249.2542.2145.8240.2560.0989.5297.73198587.60140.63138.04126.2796.6748.6839.2935.7250.1058.1178.7099.051986145.98185.37191.99124.4887.8245.8644.5844.9248.0452.7466.2868.921987167.54133.0593.6077.7052.2646.1548.5637.4538.9053.3271.9070.061988179.64149.57104.77106.2961.4640.9335.2225.3136.3545.3859.7875.001989102.08102.93122.41121.3359.9347.9438.9638.5944.7872.0771.6866.46199094.2093.3275.7971.3354.4166.1638.2232.7143.9180.69131.21110.27199196.47135.06125.93104.0268.2451.9536.5531.2435.6849.1178.2963.62199283.4478.99104.9663.2337.8233.5827.6228.6630.8166.6356.9142.68PROM116.46139.52127.19101.9060.8045.5938.0236.1941.4465.0180.5084.20CONSTRUCCION DE LA CURVA MASA1. Transformar los Q (mm3/s), a volumenes V(millones de m3)V = 0.0864QTDonde: V = volumen, en MM3 (millones de m3)T = nmero de das del mesQ = caudal en m3/s2. Acumular los volumenes y obtener la columna de vvolumenes acumuladosAOQDIASDIASVVOL acumuladom3/sACUMmm3mm3ENE116.463131311.933311.933FEB139.522859337.531649.463MAR127.193190340.672990.135ABR101.9030120264.1311254.266MAY60.8031151162.8511417.117JUN45.5930181118.1631535.280JUL38.0231212101.8221637.102AGO36.193124396.9231734.025SET41.4430273107.4241841.450OCT65.0131304174.1252015.575NOV80.5030334208.6622224.237DIC84.2031365225.5112449.748Al unir las tangentes con una linea vertical tenemos lacapacidad mnima del embalse para satisfacer el caudal seguro QsQU = 450.00CONSTRUCCION DE LA CURVA DE DURACION1. Ordenar descendentemente los datos mensuales dandole una numeracin2. Luego calcular el promedio de estosAO1234567891011121980132.17119.5281.1180.9780.8277.5568.6442.7433.3432.1231.1728.491981175.24140.04128.0399.7299.4398.1385.2451.8940.0237.2635.7029.761982153.83143.89124.50114.7999.6897.3084.3858.1951.3550.7042.7042.481983122.99113.76113.41111.0092.2359.1156.4155.1750.1847.2537.2035.391984235.27176.31143.34119.2297.7389.5263.8260.0949.2545.8242.2140.251985140.63138.04126.2799.0596.6787.6078.7058.1150.1048.6839.2935.721986191.99185.37145.98124.4887.8268.9266.2852.7448.0445.8644.9244.581987167.54133.0593.6077.7071.9070.0653.3252.2648.5646.1538.9037.451988179.64149.57106.29104.7775.0061.4659.7845.3840.9336.3535.2225.311989122.41121.33102.93102.0872.0771.6866.4659.9347.9444.7838.9638.591990131.21110.2794.2093.3280.6975.7971.3366.1654.4143.9138.2232.711991135.06125.93104.0296.4778.2968.2463.6251.9549.1136.5535.6831.241992104.9683.4478.9966.6363.2356.9142.6837.8233.5830.8128.6627.62PROM153.30133.89110.9799.2584.2775.5666.2053.2645.9142.0237.6034.58%8.3316.6725.0033.3341.6750.0058.3366.6775.0083.3391.67100.00Indica el % de tiempo durante el cual los caudales han sido igualados o excedidos


CM CD LAIVE


Hoja3Q1206.382185.873168.114144.365116.326110.71786.78880.56958.071052.091147.231244.681.-Ordenar los caudales de mayor a menor:206.38185.87168.11144.36116.32110.7186.7880.5658.0752.0947.2344.682.-Calcular el rango de la muestraR =161.703.-Seleccionar intervalo de clase NCN = 12NC =54.-Calculo de amplitud XX = R/NCX =32.345.-Calculo de los limites de clase de cada uno de los intervalosINTERVALO DE CLASELIMITE INFERIORFRECUENCIANo dias Q LI% DIAS Q LI1174.04206.38174.0422172141.70174.04141.7024333109.36141.70109.362650477.02109.3677.022867544.6877.0244.684121006


Documents

Curva Masa - Curva Duracion Ceroo de Pasco