EXPEDIENTE TECNICO: “RECONSTRUCCI ÓN DE LA REPRESA EN LA LAGUNA DE YANACOCHA DE LA LOCALIDAD LOCALIDAD DE VILLA DE PASCO, DISTRITO DE FUNDICION DE TINYAHUARCO, TINYAHUARCO, PROVINCIA DE PASCO – PASCO”
PROYECTO “REPRESAMIENTO DE LA LAGUNA YANACOCHA” DISTRITO DE TINYAHUARCO, PROVINCIA DE PASCO DEPARTAMENTO DE PASCO
ESTUDIO HIDROLOGICO HIDROLOGICO Lima, J!i" #$%%
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GENERALIDADES
ESTUDIO HIDROLOGICO
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EXPEDIENTE TECNICO: “RECONSTRUCCI ÓN DE LA REPRESA EN LA LAGUNA DE YANACOCHA DE LA LOCALIDAD LOCALIDAD DE VILLA DE PASCO, DISTRITO DE FUNDICION DE TINYAHUARCO, TINYAHUARCO, PROVINCIA DE PASCO – PASCO”
%&% I!'(")**i+! El afanzamiento del riego en la agricultura es un aspecto prioritario cuyo desarrollo sostenible se ve limitado por la escasez de agua y de tierras regables. Sin embargo, existe la posibilidad de incrementar en orma importante la producción agrícola si se utilizan el agua y la inraestr inraestructu uctura ra disponib disponibles, les, mediant mediante e una mejor mejor operació operación n de los sistema sistemass de conducci conducción, ón, modern modernizac ización ión de la inraestr inraestructu uctura, ra, un mejor mantenimiento y prácticas agrícolas más adecuadas y manejo adecuado de los recursos ídricos disponibles. En este contexto, el presente trabajo está orientado a la elaboración del estudio idrológico con fnes de almacenamiento de las aguas !ue discurren por la !uebrada "anacoca, acia la #aguna del mismo nombre y es la principal uente de abastecimiento de agua para la loca locali lida dad d de $ill $illa a de %asco asco,, el cual cual es util utiliz izad ado o tant tanto o para para las las actividades agropecuarias como para el consumo umano. % O-.'i/"0 El objetivo del presente estudio consiste en evaluar el potencial de los recursos ídricos de la microcuenca "anacoca, donde se encuentra emplazada la obra de almacenamiento de agua con fnes agrícolas y uso poblacional &aguas abajo del vaso de la laguna "anacoca'. %ara tal eecto se desarrollaron trabajos de campo y de gabinete reerido a( •
• • • • •
#&$
)eterm )etermina inació ción n de las carac caracter teríst ística icass ísica ísicass y climá climátic ticas as de la microcuenca. *nálisis del comportamiento de las variables idrológicas )eterminación de la disponibilidad ídrica de la microcuenca. )eterminación de la demanda agrícola *nálisis de agua con fnes de riego )eterm )etermina inació ción n del volum volumen en de almace almacena nami mient ento o y la altura altura de presa proyectada METODOLOGIA E INFORMACION 1ASICA
#&% M.'")"2"34a #a metodología empleada para la elaboración del presente estudio comprende las siguientes ases( Fa0. %: R.*"5i2 R.*"5i2a*i a*i+! +! ). I!6"(m I!6"(ma*i a*i+! +! Di05"! Di05"!i2 i2. . 7 A!82i0 A!82i0i0 i0 1i2i"3(89*" +omprende el acopio de inormación de trabajos similares a nivel nacio naciona nall y regio regiona nal, l, así como como el ma mater terial ial cartog cartográf ráfco, co, imágen imágenes es sateli satelita tales les,, datos datos meteor meteoroló ológic gicos os e idro idrológ lógico icos, s, entre entre otros. otros. El análi análisis sis biblio bibliográ gráfco fco a consis consistid tido o en la consu consulta lta y revis revisión ión de distintas reerencias bibliográfcas, relacionadas con el desarrollo del presente estudio. Fa0. #: T(aa-" ). Cam5" En esta etapa se an realizado mediciones de caudal y toma de muestra de agua del cauce principal de la laguna. #a observación y reconocimiento de campo nos a permitido un entendimiento cabal
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EXPEDIENTE TECNICO: “RECONSTRUCCI ÓN DE LA REPRESA EN LA LAGUNA DE YANACOCHA DE LA LOCALIDAD LOCALIDAD DE VILLA DE PASCO, DISTRITO DE FUNDICION DE TINYAHUARCO, TINYAHUARCO, PROVINCIA DE PASCO – PASCO”
•
•
•
+onocer +onocer el comport comportamie amiento nto idrológ idrológico ico o unciona uncionamien miento to de la micr microc ocue uenc nca a como como un sist sistem ema a natu natura rall de suma suma de recu recurs rsos os ídricos. +ono +o noce cerr la cara caract cter eriz izac ació ión n de la micr icrocue ocuenc nca a se seg gn sus sus parámetr parámetros os geomoro geomorológic lógicos, os, !ue junto a la observac observación ión de su cobe cobert rtur ura a vege vegeta tall y suel suelos os en gene genera ral, l, a conl conlle leva vad do a la vali valida daci ción ón de die diere rent ntes es pará paráme metr tros os como como el coef coefci cien ente te de escorrentía. -ealizar mediciones de caudal de la !uebrada principal y tomar muestra para la determinación de la calidad del agua.
Fa0. : T(aa-" T(aa-" ). La"(a'"(i": +omprende el análisis del agua con fnes de riego, principalmente, y otro otross usos usos.. #os #os anál anális isis is se real realiz izar aron on de acue acuerd rdo o a las las norm normas as estab establec lecida idass e interp interpre retad tadas as en base base a direct directric rices es recon reconoci ocidas das nacional e internacionalmente. Fa0. ;: T(aa-" ). Gai!.'.: +omp +o mpre rend nde e el proc proces esam amie ient nto o de dato datoss de camp campo o y de toda toda la inor inorma mació ción n tcnic tcnica, a, para para determ determina inarr la dispo disponib nibili ilidad dad ídric ídrica, a, la demanda agrícola y poblacional y el volumen de embalse re!uerido para satisacer estas demandas. # I!6"(ma*i+! 180i*a #a inor inorma mació ción n básic básica a !ue !ue se utiliz utilizo o para para el análi análisis sis idro idrológ lógico ico proviene de registros de estaciones meteorológicas del SE/*012 y +artas /acionales del 2nstituto /acional 3eográfco /acional &23/'. I!6"(ma*i+! Hi)("m.'."("2+3i*a: #a inormación básica idrometeorológica utilizada en el trabajo está reerido a( •
•
%reci %recipit pitaci ación ón me mensu nsual al y má máxim xima a en 45 oras oras de la es estac tación ión meteorológica +erro de %asco. 6emperatura 6emperatura media mensual, umedad umedad relativa media mensual, evaporación total mensual, dirección predominante y velocidad media mensual del viento de la estación climatológica +erro de %asco.
I!6"(ma*i+! Ca('"3(89*a: #a inormación cartográfca básica para el estudio, a consistido en( •
•
&$
#a ino inorm rmac ació ión n cart cartog ográ ráfc fca a em emp plead leada a cons consis iste te de cart cartas as nacionales a escala 78799,999 &+erro de %asco 44:;', elaboradas por el 2nstituto 3eográfco /acional < 23/ y planos topográfcos a escala 784=,999 obtenidos del %royecto Especial de 6itulación de 6ierras : %E66, del 0inisterio de *gricultura. %ara %ara un mejor manejo de esta inormación cartográfca, a sido digitalizada como un Sistem Sistema a de 2nor 2norma mació ción n 3eográ 3eográfco fco &S23' &S23',, con asi asist stenc encia ia del programa de cómputo *-+32S. #evan #evantam tamien iento to 6opog opográf ráfco co de la zona zona del del vaso vaso del embals embalse, e, escala 7(7,999, con curvas de nivel cada 7m.
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EXPEDIENTE TECNICO: “RECONSTRUCCI ÓN DE LA REPRESA EN LA LAGUNA DE YANACOCHA DE LA LOCALIDAD LOCALIDAD DE VILLA DE PASCO, DISTRITO DE FUNDICION DE TINYAHUARCO, TINYAHUARCO, PROVINCIA DE PASCO – PASCO”
+uenca ( -ío San >uan Sub: Sub:+u +uen enca ca ( -ío -ío ?cs ?csa apa pamp mpa a 0icro:+uenca 0icro:+uenca ( @uebrada "anacoca "anacoca Ui*a*i+! G."3(89*a #atitud Sur ( 79A 5BC 45D : 79A 5C 7FD #ongitud ?e ?este ( FB FBA 7 7C 59 59D : FBA 77 77C 7G 7GD $ariación ariación *ltitud *ltitudinal inal ( 5,45B 5,45B : 5,=99 msnm. msnm. Ui*a*i+! P"24'i*a -egión -egión(( %asco )epartamento( %asco %rovincia ( %asco )istrito ( 6inyauarco
Fi3(a N< $%: Ima3.! Sa'.2i'a2 ). 2a Ui*a*i+! ).2 P("7.*'"
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EXPEDIENTE TECNICO: “RECONSTRUCCI ÓN DE LA REPRESA EN LA LAGUNA DE YANACOCHA DE LA LOCALIDAD LOCALIDAD DE VILLA DE PASCO, DISTRITO DE FUNDICION DE TINYAHUARCO, TINYAHUARCO, PROVINCIA DE PASCO – PASCO”
V4a0 ). A**.0" El acce acceso so por por vía vía terr terres estr tre e desd desde e la ciud ciudad ad de #ima #ima al área área del del proyecto es a travs de la carretera central y la carretera ?roya:%asco
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EXPEDIENTE TECNICO: “RECONSTRUCCI ÓN DE LA REPRESA EN LA LAGUNA DE YANACOCHA DE LA LOCALIDAD LOCALIDAD DE VILLA DE PASCO, DISTRITO DE FUNDICION DE TINYAHUARCO, TINYAHUARCO, PROVINCIA DE PASCO – PASCO”
;&$
PROYECTO
CARACTER CARACTERISTICA ISTICAS S FISICAS FISICAS Y CLIMATOL CLIMATOLOGICA OGICAS S DEL
#as características ísicas y uncionales de una cuenca idrográfca pueden ser defnidas como los diversos actores !ue determinan la naturaleza de la descarga del curso de agua. El conocimiento de estas características, para la microcuenca en estudio, son muy importantes por las siguientes razones( a' %ara establecer comparaciones con otras cuencas o microcuencas idrográfcas. b' %ara interpretar de orma clara los enómenos pasados. c' %ara eectuar previsiones de descarga de las !uebradas. Estos actores, !ue determinan la naturaleza de descarga de los ríos, pueden ser agrupados en actores !ue dependen de las características ísicas y de uso de la cuenca idrográfca o actores fsiográfcos y actores !ue dependen del clima, actores climáticos. ;&% Ca(a*'.(40'i*a0 Fi0i"3(89*a0 #as #as cara caract cter erís ísti tica cass fsio fsiogr gráf áfca cass de las las subc subcue uenc ncas as pued pueden en se serr expl explic icad adas as a part partir ir de cier cierto toss pará paráme metr tros os o cons consta tant ntes es !ue !ue se obti obtien enen en del del proc proces esam amie ient nto o de la ino inorm rmac ació ión n cart cartog ográ ráfc fca a y conocimiento de la topograía de la zona de estudio. ;&%&% Limi'. ). 2a Mi*("*.!*a El límite de una cuenca está defnido por una línea ormada por los punt puntos os de ma mayo yorr nive nivell topo topogr gráf áfco co,, llam llamad ada a divi diviso sori ria a &divo &divort rtio io a!ua a!uarum rum', ', !ue !ue divide divide las preci precipit pitaci acion ones es !ue !ue cae caen n en cuenc cuencas as vecinas y !ue encamina la escorrentía superfcial resultante para el cauc cauce e o !ueb !uebra rada da prin princi cipa pal. l. #a divi diviso sori ria a sigu sigue e una una líne línea a rígi rígida da alrededor de la 0icrocuenca, atravesando el curso de agua solamente en el punto de salida y uniendo los puntos de cota máxima entre cuencas o microcuencas, lo !ue no impide !ue en el interior de la microcuenca existan picos aislados con cotas superiores a algunos puntos de la divisoria &$er *nexo 9B'. ;&% =(.a ). 2a Mi*("*.!*a El área área de la micr microc ocue uenc nca a o área área de dren drenaj aje e es el área área plan plana a &proyección orizontal' comprendido dentro del límite o divisoria de aguas. El área de la 0icrocuenca es el elemento básico para el cálculo de las otras características ísicas y se a expresado en ;m 4. Es importante mencionar !ue microcuencas idrográfcas con la misma área áre a pueden pueden tener comportam comportamient ientos os idroló idrológico gicoss completa completamen mente te distintos en unción de los otros actores !ue intervienen. #a microcuenca en estudio tiene un área de drenaje de 75.95 Hm 4. ;&%& F"(ma ). 2a Mi*("*.!*a #a orma superfcial de una cuenca idrográfca es importante debido a !ue inIuye en el valor del tiempo de concentración, defnido como el tiempo necesario para !ue toda la cuenca contribuya al Iujo en la sección en estudio, a partir del inicio de la lluvia o, en otras palabras, tiempo !ue tarda el agua, desde los límites de la cuenca, para llegar a la salida de la misma.
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EXPEDIENTE TECNICO: “RECONSTRUCCI ÓN DE LA REPRESA EN LA LAGUNA DE YANACOCHA DE LA LOCALIDAD LOCALIDAD DE VILLA DE PASCO, DISTRITO DE FUNDICION DE TINYAHUARCO, TINYAHUARCO, PROVINCIA DE PASCO – PASCO”
Fa*'"( ). F"(ma El actor de orma &H ' es la relación entre el anco medio y la longitud axia axiall de la cuen cuenca ca.. #a long longit itud ud axia axiall de la cuen cuenca ca ' ' se mide mide siguiendo el curso del agua más largo desde la desembocadura desembocadura asta la cabecera más distante en la cuenca. El anco medio & L ' se obtiene dividiendo el área de la cuenca por la longitud de la cuenca( A L A K f = = L = 2 L L L . )onde( H K actor de orma *Kárea de la cuenca &Hm 4' #K #ongitud de max. -ecorrido de la cuenca &Hm' El actor de orma constituye otro índice indicativo de la mayor o menor tendencia de avenidas en la microcuenca. Lna cuenca con un actor de orma bajo está menos sujeta a inundaciones !ue otra del mismo tamaMo pero con mayor actor de orma. Esto se debe al eco de !ue en una cuenca estreca y larga, con actor de orma bajo, ay meno me noss posib posibilid ilidad ad de ocurr ocurrenc encia ia de lluvia lluviass intens intensas as cubrie cubriend ndo o simultáneamente toda su extensiónJ y tambin la contribución de los tributarios alcanza el curso de agua principal en varios puntos a lo largo del mismo, alejándose, por lo tanto, de la condición ideal de la cuenca circular donde la concentración de todo el Iujo de la cuenca se da en un solo punto. El actor de orma de la microcuenca en estudio se a estimado en 9.5B. C".9*i.!'. ). C"m5a*i)a) C"m5a*i)a) +onoci +onocida da tamb tambin in como como el índice índice de 3ravel 3ravelius ius &Hc', &Hc', %ará aráme metr tro o adimensional !ue relaciona el perímetro de la cuenca y el perímetro de un círculo de igual área !ue el de la cuenca. Este parámetro, al igual !ue el anterior, describe la geometría de la cuenca y está estre estrec came ament nte e relac relacion ionad ado o con con el tiemp tiempo o de conce concent ntrac ración ión del sistema idrológico. #as cuencas redondeadas redondeadas tienen tiempos de concentración cortos con gasto gastoss pico pico muy muy uert uertes es y reces recesion iones es rápida rápidas, s, mient mientras ras !ue !ue las alarg ala rgad adas as tienen tienen gasto gastoss pico pico má máss atenu atenuad ados os y reces recesion iones es má máss prolongadas. K =
P
= 0 28
P
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EXPEDIENTE TECNICO: “RECONSTRUCCI ÓN DE LA REPRESA EN LA LAGUNA DE YANACOCHA DE LA LOCALIDAD LOCALIDAD DE VILLA DE PASCO, DISTRITO DE FUNDICION DE TINYAHUARCO, TINYAHUARCO, PROVINCIA DE PASCO – PASCO”
En el presente estudio, el coefciente de compacidad de 7.4= indica !ue la microcuenca se asemeja a la orma circular y por lo tanto los tiempos de concentración de los dierentes puntos de la microcuenca son son simi simila lare ress !ue !ue conl conlle leva va a una una ma mayo yorr posi posibi bili lida dad d de !ue !ue se presenten caudales picos. ;&%&; R.2i./. ). 2a Mi*("*.!*a El relieve de la cuenca idrográfca tiene gran inIuencia sobre los actor actores es meteor meteoroló ológic gicos os e idro idrológ lógico icos, s, pues pues la veloci velocida dad d de la escorrentía superfcial es determinada por la pendiente de la cuenca, mientras !ue la temperatura, la precipitación, la evaporación y otras variables meteorológicas son unciones de la altitud de la cuenca. Es muy muy impo import rtan ante te,, por por lo tant tanto, o, la dete determ rmin inac ació ión n de las las curv curvas as características del relieve de la 0icrocuenca en estudio. E2./a*i+! M.)ia ). 2a C.!*a #a variación de la altitud y la elevación media de una cuenca son importantes importantes por la inIuencia !ue ejercen sobre la precipitación, sobre las prdidas de agua por evaporación y transpirac ración ión y, consecuentemente, sobre el caudal medio. $ariaciones grandes de altitud altitud conllevan conllevan dierencia dierenciass signifcat signifcativas ivas en la precipi precipitació tación n y la temper temperatu atura ra me media dia,, la cual, cual, a su vez, vez, causa causan n variac variacion iones es en la evapo evapotra trans nspir pirac ación ión.. %ara su cálcu cálculo lo se a utili utilizad zado o la siguie siguient nte e ecuación( E =
∑ ea A
)onde( EK es la elevación media eKelevación media entre dos curvas de nivel consecutivo aKárea entre entre las curvas de nivel &Hm4' *K área total de la cuenca &Hm4'
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EXPEDIENTE TECNICO: “RECONSTRUCCI ÓN DE LA REPRESA EN LA LAGUNA DE YANACOCHA DE LA LOCALIDAD LOCALIDAD DE VILLA DE PASCO, DISTRITO DE FUNDICION DE TINYAHUARCO, TINYAHUARCO, PROVINCIA DE PASCO – PASCO”
P.!)i.!'. ). 2a C.!*a Es el promedio de las pendientes de la cuenca, es un parámetro muy importante !ue determina el tiempo de concentración y su inIuencia en las máxima máximass creci crecida dass y en el poten potencia ciall de degra degrada dació ción n de la cuenca, sobre todo en terrenos desprotegidos de cobertura vegetal. Existen variadas metodologías, tanto gráfcas como analíticas, !ue per permite miten n esti estim mar la pend pendie ient nte e de la cuen cuenca ca.. )ent )entrro de las las meto me todo dolo logí gías as gráf gráfca cas, s, la má máss reco recome mend ndad ada a por por su grad grado o de aproximación es el 0todo de 1?-6?/ y dentro de las analíticas la !ue se expresa mediante la siguiente ecuación( C n S c = l i A i =1 )onde( Sc K %endiente de la cuenca + K E!uidistancia entre curvas de nivel &Hm.' * K Nrea de la cuenca &Hm4' li K #ongitud de cada curva de nivel &Hm'
∑
P.!)i.!'. ).2 Ca*. P(i!*i5a2 P(i!*i5a2 Es el promedio de las pendientes del cauce principal. El agua de lluvia se conc concen entr tra a en los los lec lecos os Iuvi Iuvial ales es desp despu uss de escu escurr rrir ir por por la super superfci fcie e de la micro microcu cuenc enca a en direcc dirección ión a la desemb desemboca ocadur dura a o salida sal ida.. #a pendie pendient nte e del del curso curso de agua agua inIuy inIuye e en los valores valores de descarga de un río de orma signifcativa, pues la velocidad con !ue la contribución de la cabecera alcanza la salida depende de la pendiente de los canales Iuviales. *sí, cuanto mayor la pendiente, mayor será la velocidad de Iujo y más pronunciados pronunciados y estrecos los idrogramas de avenidas. Este parámetro tambin se relaciona directamente con la magnitud del socavamiento o erosión en proundidad y con la capacidad de transporte de sedimentos en suspensión y de arrastre. )ependiendo de la pendiente, existirán tramos críticos de erosión y tramos críticos de se sedi dime ment ntac ació ión, n, los los prim primer eros os rela relaci cion onad ados os con con las las ma mayo yore ress pendientes y la segunda con las mínimas. #a me metod todolo ología gía má máss recom recomend endada ada para para determ determina inarr la pendie pendiente nte prom promed edio io del del cauc cauce e prin princi cipa pall está está basa basada da en el uso uso del del perf perfll longitudinal y mediante la expresión siguiente(
n
∑ li
2
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EXPEDIENTE TECNICO: “RECONSTRUCCI ÓN DE LA REPRESA EN LA LAGUNA DE YANACOCHA DE LA LOCALIDAD LOCALIDAD DE VILLA DE PASCO, DISTRITO DE FUNDICION DE TINYAHUARCO, TINYAHUARCO, PROVINCIA DE PASCO – PASCO”
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EXPEDIENTE TECNICO: “RECONSTRUCCI ÓN DE LA REPRESA EN LA LAGUNA DE YANACOCHA DE LA LOCALIDAD LOCALIDAD DE VILLA DE PASCO, DISTRITO DE FUNDICION DE TINYAHUARCO, TINYAHUARCO, PROVINCIA DE PASCO – PASCO”
)e la Oigura /A 9 se observa !ue la estación más lluviosa se da entre los meses de octubre a marzo y la estación seca o de estiaje se produce entre los meses de abril a setiembre. * nivel medio mensual se registran precipitaciones !ue van desde 47.B4 mm &>ulio' asta 7F=.= mm &0arzo'. *sí se tiene valores máximos !ue ascienden asta =5.9 mm &Oebrero' y valores mínimos !ue descienden asta 9 mm a lo largo del aMo. El promedio anual es de 77GB.PB mm. ;&%& T.m5.(a'(a Ejer Ejerce cen n inIu inIuen enci cia a sobr sobre e la temp temper erat atur ura( a( #a vari variac ació ión n diur diurna na,, distri distribu bució ción n latitu latitudin dinal, al, variac variación ión estaci estacion onal, al, tipos tipos de super superfci fcie e terrestre y la variación con la altura. * travs de la primera parte de la atmó tmóser sera, a, lla llamada ada tropos poser era a, la tem emp pera eratura decr ecrece ece normalmente con la altura. Este Este decr decrec ecim imie ient nto o de la temp temper erat atur ura a con con la altu altura ra reci recibe be la denominación de 3radiente $ertical de 6emperatura &3.$.6.', defnido como un cociente entre la variación de la temperatura y la variación de altura, entre dos niveles. En la troposera el 3.$.6. medio es de
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EXPEDIENTE TECNICO: “RECONSTRUCCI ÓN DE LA REPRESA EN LA LAGUNA DE YANACOCHA DE LA LOCALIDAD LOCALIDAD DE VILLA DE PASCO, DISTRITO DE FUNDICION DE TINYAHUARCO, TINYAHUARCO, PROVINCIA DE PASCO – PASCO”
Ca)(" N< $;: T.m5.(a'(a T.m5.(a'(a M.)ia M.!0a2 7 A!a2 >
)e la Oigura /A 95 se aprecia !ue las mayores temperaturas medias se presentan en los meses de diciembre a marzo, mientras !ue la estación más ría corresponde a los meses de junio a agosto, siendo el mes de julio el !ue presenta las menores temperaturas entre 5.9B Q+, es estas tas temper temperatu aturas ras bajas bajas genera generan n en las noc noces es las elad eladas as
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EXPEDIENTE TECNICO: “RECONSTRUCCI ÓN DE LA REPRESA EN LA LAGUNA DE YANACOCHA DE LA LOCALIDAD LOCALIDAD DE VILLA DE PASCO, DISTRITO DE FUNDICION DE TINYAHUARCO, TINYAHUARCO, PROVINCIA DE PASCO – PASCO”
;&%&B Hm.)a) R.2a'i/a #a umedad relativa es la umedad !ue contiene una masa de aire, en relación con la máxima umedad absoluta !ue podría admitir sin produci producirse rse condens condensación ación,, conservan conservando do las mismas mismas condicio condiciones nes de temperatura y presión atmosrica. )ebido a !ue durante los meses de invierno se presentan cielos muy despejados, ste parámetro está uertemente inIuenciado por la )e la Oigura /A 9= se tiene !ue los mayores porcentajes de umedad relativa se presentan en los meses de enero a marzo, debido a !ue se
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EXPEDIENTE TECNICO: “RECONSTRUCCI ÓN DE LA REPRESA EN LA LAGUNA DE YANACOCHA DE LA LOCALIDAD LOCALIDAD DE VILLA DE PASCO, DISTRITO DE FUNDICION DE TINYAHUARCO, TINYAHUARCO, PROVINCIA DE PASCO – PASCO”
#a mayor evaporación promedio corresponde al período de junio a agosto con valores del orden de 57. a 55.5 mm. 0ientras !ue las menores evaporaciones promedio corresponde al período de ebrero a abril abril !ue !ue es la poca poca de avenid avenidas as dond donde e las consta constant ntes es lluvia lluviass disminuyen la capacidad de evaporación de los cuerpos de agua.
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EXPEDIENTE TECNICO: “RECONSTRUCCI ÓN DE LA REPRESA EN LA LAGUNA DE YANACOCHA DE LA LOCALIDAD LOCALIDAD DE VILLA DE PASCO, DISTRITO DE FUNDICION DE TINYAHUARCO, TINYAHUARCO, PROVINCIA DE PASCO – PASCO”
El viento viento es el movim movimien iento to de aire aire en la supe superfc rfcie ie terre terrestr stre. e. Es gene genera rado do por por la acci acción ón de grad gradie ient ntes es de pres presió ión n atmo atmos sr ric ica a producida por el calentamiento dierencial de las superfcies y masas de aire. #a super superfci fcie e de la tierr tierra a se calien calienta ta por por la radiac radiación ión solar, solar, esta esta radiación solar no se recibe con la misma intensidad en todas las zonas del planeta como lo observamos en el capítulo de radiación, lo !ue origina un calentamiento desigual de las masas de aire. El aire aire de las las capa capass atmo atmos sr ric icas as má máss baja bajass se cali calien enta ta bajo bajo la inIuencia de la superfcie terrestre, siendo su calentamiento más o menos menos intenso intenso segn segn la temperat temperatura ura !ue alcanzan alcanzan las dieren dierentes tes zonas de la superfcie terrestre con las !ue se mantiene en contacto. #as dos características undamentales del viento son la )irección y la $elocidad. #a dirección es el punto del orizonte de donde viene el viento y la velocidad es espacio recorrido por unidad de tiempo &m8sJ Hm8'. %ara el análisis de la velocidad del viento se a eco uso de la estación +erro de %asco cuyos registros a nivel mensual se pueden apreciar en los cuadro /A 9F.
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EXPEDIENTE TECNICO: “RECONSTRUCCI ÓN DE LA REPRESA EN LA LAGUNA DE YANACOCHA DE LA LOCALIDAD LOCALIDAD DE VILLA DE PASCO, DISTRITO DE FUNDICION DE TINYAHUARCO, TINYAHUARCO, PROVINCIA DE PASCO – PASCO”
&$
ANALISIS DE PRECIPITACIONES PRECIPITACIONES
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EXPEDIENTE TECNICO: “RECONSTRUCCI ÓN DE LA REPRESA EN LA LAGUNA DE YANACOCHA DE LA LOCALIDAD LOCALIDAD DE VILLA DE PASCO, DISTRITO DE FUNDICION DE TINYAHUARCO, TINYAHUARCO, PROVINCIA DE PASCO – PASCO”
• • •
)esecación de pantanos. *pertura de nuevas áreas de cultivos en los alrededores. 2ndustrialización en áreas circundantes.
6odas 6odas estas acciones traen consigo una alteración en la cantidad de lluvia captada por el pluviómetro. 6ambin existen los errores de tipo accidental o aleatorio !ue se deben al observador o se generan en la transcripción, copia o impresión de los registros pluviomtricos.
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EXPEDIENTE TECNICO: “RECONSTRUCCI ÓN DE LA REPRESA EN LA LAGUNA DE YANACOCHA DE LA LOCALIDAD LOCALIDAD DE VILLA DE PASCO, DISTRITO DE FUNDICION DE TINYAHUARCO, TINYAHUARCO, PROVINCIA DE PASCO – PASCO”
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EXPEDIENTE TECNICO: “RECONSTRUCCI ÓN DE LA REPRESA EN LA LAGUNA DE YANACOCHA DE LA LOCALIDAD LOCALIDAD DE VILLA DE PASCO, DISTRITO DE FUNDICION DE TINYAHUARCO, TINYAHUARCO, PROVINCIA DE PASCO – PASCO”
necesario aplicar tcnicas apropiadas apropiadas para evaluar si un registro registro dado se puede considerar omogneo y, si no, introducir las correcciones necesarias. El análisis de omogeneidad de la inormación idrológica, se realizo mediante los siguientes procesos( A!82i0i0 Vi0a2 G(a9*" En coord coordena enadas das cartes cartesian ianas as se plotea plotea la inor inorma mació ción n idro idrológ lógica ica istórica, ubicándose ubicándose en las ordenadas, ordenadas, los valores de la serie y en las abscisas el tiempo. Este gráfco sirve para analizar la consistencia de la inor inorma mació ción n idr idroló ológic gica a en orma orma visua visual, l, e indica indicarr el períod período o o períodos en los cuales la inormación es dudosa, lo cual se puede reIej reIejar ar como como Rpico RpicosD sD muy muy altos altos o valor valores es muy muy bajos bajos,, sal saltos tos y8o tendencias, los mismos !ue deberán comprobarse, si son enómenos naturales !ue eectivamente an ocurrido, o si son producto errores sistemáticos. -ealizando el análisis visual de la serie istórica &Oigura /A 9G', se observan picos muy altos en el aMo 7PG7 en comparación del resto de aMos, además la serie presenta una tendencia negativa y cambio de variabilidad a lo largo del tiempo. Fi3(a N $& Dia3(ama ). 0.(i. i0'+(i*a ). P(.*i5i'a*i"!.0 @
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EXPEDIENTE TECNICO: “RECONSTRUCCI ÓN DE LA REPRESA EN LA LAGUNA DE YANACOCHA DE LA LOCALIDAD LOCALIDAD DE VILLA DE PASCO, DISTRITO DE FUNDICION DE TINYAHUARCO, TINYAHUARCO, PROVINCIA DE PASCO – PASCO”
0edian 0ediante te el análi análisis sis estad estadíst ístico ico se llego llego a la conclu conclusió sión n !ue !ue los regis egistr tros os istó istóri rico coss mues esttran ran una tend endenci encia a decrec crecie ien nte estadísticamente signifcativa &cambio del clima' y !ue a partir de 7PGB se produce un salto estadísticamente signifcativo &media de 7PF=:7PG= 7PF=:7PG= es mayor !ue 7PGB:499G'. 7PGB:499G'. En el *nexo *nexo 9, se presenta presenta los resultados de los tests estadísticos utilizados. C"m52.'a*i"! ). )a'"0 #os datos altantes del registro de precipitación y de otras variables idrológicas ueron completados, en algunos casos con promedios y en los meses donde altaban más de dos aMos consecutivos mediante tcnicas tcnicas de generaci generación ón alea aleatoria toria,, de acuerdo acuerdo al siguient siguiente e modelo modelo matemático propuesto( P i = P + S ξ
( %recipitación generada en el mes i P ( %recipitación promedio del mes S (( )esviación estándar de la precipitación del mes correspondiente ξ ( /mero aleatorio con distribución normal( media 9 y desviación estándar 7. P i
Se debe resaltar !ue el periodo de registro a tomar en cuenta para la
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EXPEDIENTE TECNICO: “RECONSTRUCCIÓN DE LA REPRESA EN LA LA LAGUNA DE YANACOCHA DE LA LOCALIDAD LOCALIDAD DE VILLA DE PASCO, PASCO, DISTRITO DE FUNDICION DE TINYAHUARCO, TINYAHUARCO, PROVINCIA DE PASCO – PASCO”
Ca)(" N $& P(.*i5i'a*i+! T"'a2 M.!0a2 *"m52.'a)a 7 *"!0i0'.!'. – E0'a*i+! C.((" ). Pa0*"
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EXPEDIENTE TECNICO: “RECONSTRUCCI ÓN DE LA REPRESA EN LA LAGUNA DE YANACOCHA DE LA LOCALIDAD LOCALIDAD DE VILLA DE PASCO, DISTRITO DE FUNDICION DE TINYAHUARCO, TINYAHUARCO, PROVINCIA DE PASCO – PASCO”
B&$
OFERTA SUPERFICIAL OFERTA HIDRICA SUPERFICI AL )ebido a !ue en la microcuenca "anacoca no existe inormación istór istórica ica de regis registr tro o de cauda caudales les,, a sido sido necesa necesario rio gener generar ar un registro sinttico de caudales en el punto de captación de la !uebrada &%resa "anacoca'. %ara tal fn se a empleado el modelo idrológico #utz Soltz, desarrollado para cuencas de la sierra peruana, entre los aMos 7PFP:7PG9, en el marco de +ooperación 6cnica 6cnica de la -epblica de *lemania a travs del %lan 0eris 22. Este modelo combina una estructura determínistica para el cálculo de los caudales mensuales para el aMo promedio &Talance 1ídrico : 0odelo determinístico' y una estructura estocástica para la generación de series extendidas de caudal &%roceso mar;oviano : 0odelo Estocástico'J mediante el cual
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EXPEDIENTE TECNICO: “RECONSTRUCCI ÓN DE LA REPRESA EN LA LAGUNA DE YANACOCHA DE LA LOCALIDAD LOCALIDAD DE VILLA DE PASCO, DISTRITO DE FUNDICION DE TINYAHUARCO, TINYAHUARCO, PROVINCIA DE PASCO – PASCO”
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EXPEDIENTE TECNICO: “RECONSTRUCCI ÓN DE LA REPRESA EN LA LAGUNA DE YANACOCHA DE LA LOCALIDAD LOCALIDAD DE VILLA DE PASCO, DISTRITO DE FUNDICION DE TINYAHUARCO, TINYAHUARCO, PROVINCIA DE PASCO – PASCO”
Gi = R
b0i 7
∑b
i 0
i =1
)onde( 3i es el gasto de la retención para el mes i, - es la retención de la microcuenca, estimada anteriormente. c'
+alculo +alcu lo del del a aba baste stecim cimien iento to o la a alim liment entaci ación ón de de la reten retenció ción n con con la siguiente expresión( A
ai =
PE i PE
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EXPEDIENTE TECNICO: “RECONSTRUCCI ÓN DE LA REPRESA EN LA LAGUNA DE YANACOCHA DE LA LOCALIDAD LOCALIDAD DE VILLA DE PASCO, DISTRITO DE FUNDICION DE TINYAHUARCO, TINYAHUARCO, PROVINCIA DE PASCO – PASCO”
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EXPEDIENTE TECNICO: “RECONSTRUCCIÓN DE LA REPRESA EN LA LA LAGUNA DE YANACOCHA DE LA LOCALIDAD LOCALIDAD DE VILLA DE PASCO, PASCO, DISTRITO DE FUNDICION DE TINYAHUARCO, TINYAHUARCO, PROVINCIA DE PASCO – PASCO”
Ca)(" N %#& Ca2*2" ). ).0*a(3a0 m.)ia0 m.!0a2.0 >mm? – K.(a)a Ya!a*"*a
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EXPEDIENTE TECNICO: “RECONSTRUCCIÓN DE LA REPRESA EN LA LA LAGUNA DE YANACOCHA DE LA LOCALIDAD LOCALIDAD DE VILLA DE PASCO, PASCO, DISTRITO DE FUNDICION DE TINYAHUARCO, TINYAHUARCO, PROVINCIA DE PASCO – PASCO”
Ca)(" N %& D.0*a(3a0 m.)ia0 m.!0a2.0 3.!.(a)a0 >m 0? – K.(a)a Ya!a*"*a
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EXPEDIENTE TECNICO: “RECONSTRUCCIÓN DE LA REPRESA EN LA LA LAGUNA DE YANACOCHA DE LA LOCALIDAD LOCALIDAD DE VILLA DE PASCO, PASCO, DISTRITO DE FUNDICION DE TINYAHUARCO, TINYAHUARCO, PROVINCIA DE PASCO – PASCO”
Fi3(a N $& S.(i. ). Ca)a2.0 3.!.(a)"0 >m 0? – K.(a)a Ya!a*"*a
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EXPEDIENTE TECNICO: “RECONSTRUCCI ÓN DE LA REPRESA EN LA LAGUNA DE YANACOCHA DE LA LOCALIDAD LOCALIDAD DE VILLA DE PASCO, DISTRITO DE FUNDICION DE TINYAHUARCO, TINYAHUARCO, PROVINCIA DE PASCO – PASCO”
Fi3(a N %$& Ca)a2.0 M.)i"0 M.!0a2.0 3.!.(a)"0 >m0? – K.(a)a
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EXPEDIENTE TECNICO: “RECONSTRUCCI ÓN DE LA REPRESA EN LA LAGUNA DE YANACOCHA DE LA LOCALIDAD LOCALIDAD DE VILLA DE PASCO, DISTRITO DE FUNDICION DE TINYAHUARCO, TINYAHUARCO, PROVINCIA DE PASCO – PASCO”
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EXPEDIENTE TECNICO: “RECONSTRUCCI ÓN DE LA REPRESA EN LA LAGUNA DE YANACOCHA DE LA LOCALIDAD LOCALIDAD DE VILLA DE PASCO, DISTRITO DE FUNDICION DE TINYAHUARCO, TINYAHUARCO, PROVINCIA DE PASCO – PASCO”
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