UNIVERSIDAD NACIONAL SAN ANTONIO ABAD MECANICA DE ROCAS
RESUMEN La QUEBRADA DE HUAMANCHARPA forma parte de la sub cuenca del río Huatanay encontrándose parte de la ciudad del Cusco en la zona de confluencia de varias micro cuencas y del nacimiento del río Huatanay, Huatanay, se ubica entre los 3,300 y 3,400m.s.n.m., con un clima seco, deficiente de lluvias en el invierno, semifrío, sin cambio térmico invernal . La construccin de carreteras !taludes" en un medio rocoso produce inevitablemente dese#uilibrio de la masa circundante en un corto periodo de tiempo lo #ue ori$ina deformaciones en el medio rocoso, a veces en un corto periodo de tiempo, las #ue %ay #ue tener presente para ase$urar la estabilidad del talud mediante la aplicacin de sostenimiento oportuno y suficiente. &or otra parte, un talud puede atravesar rocas de distinta competencia duras a blandas y las fallas de los macizos se pueden presentar por zonas de debilidad o de discontinuidad estructural. Las rocas blandas fallan principalmente a través del cuerpo de la masa rocosa y menos a través de sus defectos estructurales. La evaluacin estructural, GEOMECÁNICA es un dia$nstico de la situacin actual de la zona de estudio identificando identificando la problemática problemática $enerada por las actividades #ue allí se desarrollan, desarrollan, los potenciales impactos ambientales directos e indirecto y las medidas preventivas, atenuantes y compensatorias, $eneralmente en forma de un plan de accin. 'sí mismo la ESTRUCTURA y GEOMECÁNICA permite ponderar las oportu oportunid nidade adess de me(ora me(oramie miento nto en la calid calidad ad y e#uil e#uilib ibrio rio del talud de la zona zona de estudi estudioo y del deslizamiento de HUAMANCHARPA. La intensa actividad comercial, la alta presin poblacional desarrollada principalmente en la ciudad del Cusco, %ace de este espacio en la sub cuenca del río Huatanay la más contaminada contaminada por la $eneracin $eneracin sin tratamiento de desec%os slidos y desmontes, tal es así #ue el sistema de limpieza, reco(o y evacuacin de los desec%os slidos en este espacio terminan en botaderos #ue no cuentan con las especificaciones técnicas sanitarias. La evaluacin ESTRUCTURAL y GEOMECÁNICA se llevara a cabo mediante la elaboracin de ventanas estructurales mediante el cual podemos determinar la calidad del macizo rocoso y en el presente informe se desarrollara a detalle los cálculos de )*+, )), -) ,la $eotectnica de la zona de estudio,los cortes cortes de carreta #ue se presentan y el diseo de taludes en caso #ue es de rotura o planar mediante uso de soft/are de civil 3+, ')C1-20.3 y -L1+ y otras técnicas para determinar la calidad y otros parámetros #ue se debe tomar para una evaluacin estructural y GEOMECÁNICA de un determinado macizo rocoso.
1
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UNIVERSIDAD NACIONAL SAN ANTONIO ABAD MECANICA DE ROCAS
CAPITULO I: ASPECTOS GENERALES 1.1.- UBICACIÓN Y EXTENSION 1.1.1.-UBICACIÓN POLÍTICA: &olíticamente la zona de estudio se encuentra dividida de la si$uiente manera C,-/0 N+1 UBICACIÓN POLITICA REGION CUSCO PROVINCIA CUSCO DISTRITO SANTIAGO FUENTE: DIRECCIÓN NACIONAL TCNICA DE DEMARCACIÓN TERRITORIAL DEL PER3 (241# 5 241!.
1.1.2. UBICACIÓN GEOGRAFICA. La zona de estudio se encuentra en las si$uientes coordenadas $eo$ráficas y coordenadas 56 : UBICACIÓN GEOGRAFICA COORDENADAS UTM ZON PROJECTED COORDINATE A SYSTEM NORTE 1!"#2$.#2 1$S %GS&1$'&UTM&ZONE&1$S (Y ESTE () () '$'21#.# * CUADRO N+ 2: CUADRO DE DATOS DE UBICACIÓN FUENTE: DATOS DE CAMPO 2.1.#.& UBICACIÓN HIDROGRAFICA: La zona de estudio se %idro$ráficamente se divide de la si$uiente manera
C,-/0 N+ # UBICACIÓN HIDROGRAFICA CUENCA: RO VILCANOTA. SUBCUENCA: RO HUANCARO.
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UNIVERSIDAD NACIONAL SAN ANTONIO ABAD MECANICA DE ROCAS 1.2.& ACCESIBILIDAD: &or la vía asfaltada CUSCO 5 HUANCARO 5 PARURO
IMAGEN 1 DESCRICION La ima$en nos indica el acceso a la zona de estudio.
1.3.& OBJETIVOS: 1.#.1.& OBJETIVO GENERAL: +eterminar los parámetros eo mecánicos y eol$icos de la #uebrada de HUAMANCHARPA. 1.#.2.& OBJETIVOS ESPECFICOS: 2. +eterminar los parámetros parámetros eo mecánicos mecánicos %aciendo %aciendo ventanas estructurales de 2.; < 2.; m y = < = m, y por medio de estos estos datos obtenidos obtenidos determinar determinar los valores valores del. RQD6 Q 7 B-/8096 RMR y mediante estos procesos determinar la calidad del macizo rocos. =. +eterminar las >reas, >reas, &erímetros, &erímetros, +ireccin +ireccin y -entido -entido de los deslizamientos deslizamientos ocurridos en la zona. zona.
1..& HIPOTESIS. +eterminar los parámetros eo mecánicos y eol$icos del área de HUAMANCHARPA obteniendo los
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UNIVERSIDAD NACIONAL SAN ANTONIO ABAD MECANICA DE ROCAS MARCO TEÓRICO CONCEPTUAL 2.1. MARCO TEÓRICO 2.1.1. GEOMECÁNICA DE ROCAS.
eo mecánica !procedente del prefi(o $rie$o $eoA si$nificando BtierraB y BmecánicaB" implica el estudio $eol$ico del comportamiento del suelo y rocas. -on las dos principales disciplinas de la eo mecánica mecánica de suelos y mecánica de rocas. l primero trata del comportamiento de suelo desde pe#uea escala a una escala de 6alud. 6alud. ste Dltimo se refiere a temas en ciencias de la tierra relacionados con la caracterizacin de masas de las rocas y de la mecánica de las rocas, como se aplica a la industria del petrleo o altas profundidades, profundidades, diseo de tDneles, rotura de la rocas, y los Dtiles de perforacin. uc%os aspectos de la $eomecánica se superponen con partes de la in$eniería $eotécnica, y de la in$eniería $eol$ica. Los avances modernos se refieren a sismolo$ía, mecánica de medios continuos, mecánicos discontinuos y 7enmenos de 6ransporte. n la indust industria ria de la in$eni in$enierí eríaa petrol petrolera era,, la $eome $eomecá cánic nicaa se utili utiliza za para para predec predecirir los parám parámetr etros os importantes, importantes, tales como las tensiones inAsitu de las rocas, mdulo de elasticidad, elasticidad, coeficiente de fu$as y el coeficiente de &oisson. Los parámetros del yacimiento incluyen la formacin de la porosidad, la permeabilidad y la presin del fondo del pozo #ue se pueden derivar de la evaluacin $eomecánica. l in$eniero $eotécnico o $eofísico se basa en varias técnicas para la obtencin de modelos $eo mecánicos fiables. stas técnicas #ue %an evolucionado evolucionado a lo lar$o de los aos, son Corin$ 'nálisis de re$istros &robando buenos métodos como el fracturamiento %idráulico métodos $eofísicos de sonar como la Bemisin acDsticaB. l término eomecánica se aplica al con(unto de disciplinas relacionadas con $eolo$ía, in$eniería civil, in$eniería de minas y $eofísica, para estudio de las condiciones de estabilidad, deformacin y resistencia de macizos rocosos. &arcialmente se le puede considerar sinnimo de mecánica de rocas, pues además comprende mecánica de suelos. La eomecánica se distin$ue de la $eotecnia en #ue en ésta se atienden principalmente terrenos no consol consolid idado ados. s. n al$uno al$unoss casos casos,, para para el avanc avancee y la culmi culminac nacin in de proyec proyectos tos constr construct uctivo ivos, s, las características $eol$icas locales re#uieren inte$racin de ambas disciplinas. -e puede dividir en
eomecánica de superficie. eomecánica aplicada al subsuelo. eomecánica de superficie.
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UNIVERSIDAD NACIONAL SAN ANTONIO ABAD MECANICA DE ROCAS
2.1.2 SISTEMAS DE CLASIFICACIÓN DEL MACIZO ROCOSO 2.1.2.1 CLASIFICACIONES GEOMECÁNICAS DE TERZAGHI A BARTON Las clasi clasific ficac acion iones es $eome $eomecán cánic icaa del macizo macizo rocoso rocoso sur$i sur$iero eronn de la necesi necesida dadd de parame parametri trizar zar observaciones y datos empíricos, de forma inte$rada, para evaluar las medidas de sostenimiento en tDneles. 'l depender los tDneles de mDltiples variables $eol$icas de difícil cuantificacin, el uso de los métodos empíricos !al #ue pertenecen las clasificaciones $eo mecánicas" fue de $ran ayuda desde el primer sistema de clasificacin propuesto en 2E4F por 6erza$%i %asta el presente. Los sistemas de clasificacin del macizo rocoso más importantes y #ue %an sido relevantes en el desarrollo de esta ciencia se muestran en este capítulo, aun#ue los tres Dltimos del listado aDn están vi$entes
NOMBRE DE LA CLASIFICACIÓN ROC; LOAD STAND&UP TIME ROC; QUALITY DESIGNATION RSR CONCEPT RMR SYSTEM Q SYSTEM
CREADOR
AO
PAIS
APLICACIÓN
Terzaghi, Lauffer Deere
1946 1958 1967
USA Austria USA
T3NELES T3NELES TESTIGOS&T3NELES
Wickham Bieia!ski Bart%
1972 197" 1974
USA Su#$Africa &%ruega
T3NELES T3NELES&TALUDES T3NELES&CAVERNAS
TABLA N°1' Ti)%s #e c*asificaci+ #e r%ca
2.1.2.2: ROC; LOAD (TERZAGHI n 2E4F 6erza$%i propuso un sistema de clasificacin de roca para calcular las car$as #ue deben soportar los marcos de acero en los tDneles. ste sistema describe varios tipos de roca y en base a su e
= y estas fuerzas de friccin transfieren la parte más importante del peso de la car$a de roca G al material de los lados del tDnel. l tec%o y los lados del tDnel no tienen #ue soportar más #ue el resto de la car$a #ue e#uivale a una altura Hp. l anc%o ?2 de la zona de la roca donde e
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UNIVERSIDAD NACIONAL SAN ANTONIO ABAD MECANICA DE ROCAS
F?@,/- N+1 s#uema de 6erza$%i
ste método de clasificacin de rocas para sostenimiento con marcos de acero fue el primero formulado en forma racional, lo cual fue muy importante ya #ue el sostenimiento con marcos de acero en tDneles %abía sido usado en los pasados ;0 aos. sta clasificacin %a resultado ser muy conservadora, sobretodo en rocas de buena calidad su principal campo de aplicacin es en tDneles de tamao medio, del orden de J m de anc%o. 8o se debe aplicar en terrenos de comportamiento plástico Los criterios de TERZAGHI empleados e
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UNIVERSIDAD NACIONAL SAN ANTONIO ABAD MECANICA DE ROCAS
ESTADO DE ROCA 1. DURA Y MASIVA 2. DURA PERO ESTRATIFICADA
CARGA DE ROCA HP (EN PIES C7/0 4 - 4."B
#. MASIVA6 LIGERAMENTE FISURADA . MEDIANAMENTE 4.2"B - 4.#"(BH8 FRACTURADA EN BLOQUES ALGO ABIERTOS ". MUY FRACTURADA EN (4.#" - 1.14(BH8 BLOQUES Y LAS FRACTURAS ABIERTAS *. TOTALMENTE TRITURADA PERO 1.14 (BH8 QUMICAMENTE INALTERADA.
OBSERVACIONES -olo se necesita refuerzo escaso si %ay desprendimiento o c%as#uido )efuerzo escaso más #ue nada como protecc prot eccin in cont contra ra desp desprendi rendimie mientos ntos la car$a puede cambiar en forma errática de un punto a otro. 0 a 0.=;? 8o %ay presin lateral
&oca o nin$una presin lateral &resioness late &resione laterale raless cons consider iderable ables. s. Los efectos de las infiltracio infiltraciones nes %acia el piso del tDnel re#uieren apoyo continuo para las partes ba(as de los marcos, o bien marcos circulares. !2.20 a =.=0"!?KHt"
!. ROCA COMPRIMIDA PROFUNDIDAD MODERADA arcos arc os circ circular ulares es indi indispen spensabl sables. es. n '. ROCA COMPRIMIDA A GRAN PROFUNDIDAD (2.14 - ."4(BH8 casos e
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UNIVERSIDAD NACIONAL SAN ANTONIO ABAD MECANICA DE ROCAS ECUACION N+ 1' cuaci+ )ara ha**ar e* -.D #e u maciz% r%c%s%/
DEERE )r%)us% *a siguiete re*aci+ etre e* 0a*%r umric% #e RQD *a ca*i#a# #e *a r%ca'
RQD
Calidad de !"a
#$%& $%-%'& %'-(%& (%-)'& )'-1''&
3u ma*a 3a*a -egu*ar Buea 3u uea
T-=- N+#: N +#: )elacin entre el valor )*+ y la calidad de roca 2.1.2. SISTEMA RMR (BIENIA%S;I ET AL&1$'$ BIENIA%S;I BIENIA%S;I (1$!# present un nuevo sistema de clasificacin de macizos rocosos mediante un índice RMR (ROC; MASS RATING. RATING. n una se$unda versin BIENIA%S;I BIENIA%S;I (1$'$ estableci la forma actual. l índice numérico del macizo rocoso, )) básico, es independiente de la estructura a construir y se obtiene sumando cinco parámetros : PARÁMETROS RESISTENCIA A LA COMPRESIÓN SIMPLE DE LA ROCA VALORACIÓN RQD
INTERVALO DE VALORES
N =;0 &a
200 A =;0 &a
;0 A 200 &a
=; A ;0 &a
;A=; &a
2A; &a
O 2 pa
1%
1$
(
*
$
1
'
9 $ 1
75 $ 9
5 $ 75
25 $ 5
25
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UNIVERSIDAD NACIONAL SAN ANTONIO ABAD MECANICA DE ROCAS Secas FLUJO DE AGUA EN LAS JUNTAS FILTRACIÓN EN 14 M DE T3NEL RAZÓN DE PRESIONES INTERSTICIALES 1% VALORACIÓN TABLA N+: RMR DE BIENIA%S;I
Ligeramete hme#as
:me#as
;%tea#%
<*ue#%
1
1$25
25 $ 125
125
/ $ /1
/1 $ /2
/2 $ /5
/5
1'
(
*
'
'l valor del )) obtenido %ay #ue restarle un factor de a(uste, #ue es funcin de las orientaciones de las discon discontin tinuid uidade adess con respe respecto cto a la orien orientac tacin in de la e
DIRECCIÓN PERPENDICULAR AL EJE DEL T3NEL
DIRECCIÓN PARALELA AL EJE DEL T3NEL
A,ANCE CON BUAIENTO
BUZAMIENTO DE " A $4 3u
BUZAMIENTO DE 24 A "
BUZAMIENTO DE 4 A 24 EN CUALQUIER DIRECCIÓN
A,ANCE CONTRA BUAIENTO
BUZAMIENTO DE " A $4
BUZAMIENTO DE 24 A "
Ace)ta*e
Desfa0%ra*e
$2
$5
$1
BUZAMIENTO DE " A $4
3u Desfa0%ra*e $12
BUZAMIENTO DE 24 A "
Ace)ta*e
Desfa0%ra*e Desfa0%ra *e
$5
$1
TABLA N°%: 7actores de a(uste !?ienia/sPi, 2EME, 2EJE"
l resultado final de la resta es el índice final )), #ue puede variar entre 0 y 200. Los macizos rocosos se clasifican se$Dn el valor del índice en cinco clases.
RR CLASE DESCRIPCIÓN
1 = 81 > 3u uea
8 = 61 >> Buea
6 = 41 >>> 3e#ia
4 = 21 >? 3a*a
2 = ? 3u ma*a
T-=- N+*: Clases de macizo rocoso se$Dn el valor del )) a(ustado l si$nificado de dic%as clases !se$Dn la e
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UNIVERSIDAD NACIONAL SAN ANTONIO ABAD MECANICA DE ROCAS
TABLA N+ !: -i$nificadoI de las clases de roca !?ienia/sPi, 2EJE".stos valores slo son aplicables a deslizamientos en macizos saturados 2.1.2." SISTEMA Q (BARTON &1$! l sistema * %a sido usado en numerosos proyectos en el mundo desde %ace =; aos como un método de caracterizacin de la calidad de la roca y definicin de un sostenimiento #ue ase$ure la estabilidad en su tiempo de vida Dtil en obras de e
FACTORES Y PARÁMETROS DEL SISTEMA Q l valor numérico del índice # se calcula mediante la si$uiente frmula
Q / 0RQD24 5 022a4 5 026SR748@@@@ ecuaci+ &2 c*cu*% #e . #e BARTON
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UNIVERSIDAD NACIONAL SAN ANTONIO ABAD MECANICA DE ROCAS
6abla
8T J parámetros individuales usados en el sistema *
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UNIVERSIDAD NACIONAL SAN ANTONIO ABAD MECANICA DE ROCAS
MTODO DEL NDICE DE RESISTENCIA GEOLÓGICA GSI étodo del índice de resistencia $eol$ica, -1 !HoeP, 2EE4" l índice de resistencia $eol$ica -1, fue desarrollado por HoeP !2EE4" para subsanar los problemas detectados con el uso del índice )) para evaluar la resistencia de macizos rocosos se$Dn el criterio $eneralizado de HoePA?ro/n /
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UNIVERSIDAD NACIONAL SAN ANTONIO ABAD MECANICA DE ROCAS
Caracteriza cin del macizo rocoso en funcin de los blo#ues basado en el en TABLA N+1#: Caracterizacin trabamiento y las condiciones de las (untas.
2.1.2.* LASIFICACIÓN GEOMECÁNICA DE ROMANA & SMR l índice -) para la clasificacin de taludes se obtiene del índice )) básico, restando un factor de a(usteI #ue es funcin de la orientacin de las discontinuidades !y producto de tres subfactores" y sumando un factor de e
-) Q )) básico K !72 < 7= < 73" K 74
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UNIVERSIDAD NACIONAL SAN ANTONIO ABAD MECANICA DE ROCAS
TABLA N+ 1#: tabla de factor de a(uste de -)
2.2 MARCO CONCEPTUAL
ROCA: '$re$ado natural de partículas de uno o más minerales, con fuerte unin co%esiva permanente, #ue constituyen masas $eol$icamente independientes y carto$rafíales. $ranulares y co%esivas, co%esivas, separables por medios SUELO '$re$ado natural de partículas minerales $ranulares mecánicos de ba(a ener$ía o por a$itacin en a$ua. Con(un unto to de matr matriz iz roco rocosa sa y disc discon ontitinu nuid idad ades es.. &res &resen enta ta cará caráct cter er MACIZO MACIZ O ROC ROCOSO OSO Con( %etero$éneo, %etero$éneo, comportamiento comportamiento discontinuo discontinuo y normalmente normalmente anistropo, anistropo, consecuencia consecuencia de la natur naturale aleza, za, frecue frecuenci nciaa y orient orientaci acin n de los plano planoss de disco disconti ntinui nuida dad, d, #ue condic condicio ionan nan su comportamiento $eo mecánico e %idráulico. UUUU.!;"
MATRIZ ROCOSA )oca matriz Q )oca intacta aterial rocoso sin discontinuidades, o blo#ues MATRIZ de roca entre discontinuidades. !-e caracteriza por su densidad, deformabilidad y resistencia por su localizacin $eo$ráfica y por su litolo$ía, ya sea ésta Dnica o variada".
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UNIVERSIDAD NACIONAL SAN ANTONIO ABAD MECANICA DE ROCAS CONTACTO LITOLOGICO: #ue comDnmente forman, por e(emplo, la ca(a tec%o y ca(a piso de CONTACTO una veta. ESFUERZO: l esfuerzo es la fuerza aplicada sobre un área determinada 5nidades de medida medida del del esfuerzo son W&.a.X &ascal &ascal ?ar ?ar entre otras. l esfuerzo se divide a su vez en sfuerzo 8ormal y sfuerzo 6an$encial !o de Cizalle". n casos más complicados de car$a debemos considerar considerar también el sfuerzo de tensin tensin en en vez de la compresin. Esfuerzo=
CAPTULO III MATERIALES Y EQUIPOS
#.1 MATERIALES DE CAMPO &apas, planos, carta nacional Libreta de campo &lano topo$ráfico &lano $eol$ico 7ic%as de campo
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UNIVERSIDAD NACIONAL SAN ANTONIO ABAD MECANICA DE ROCAS #.2 MATERIALES DE GABINETE •
?iblio$rafía
•
Computadora
•
)e$la y (ue$o de escuadras
•
Calculadora
•
&ro$ramas soft/are C1Y1L 3+ ')1-20.3 -L1+ !para diseo de taludes"
#.# MATERIALES DE LABORATORIO 6abla de +) 6abla de ?')698 6abla de ?181'G-Z1 6abla de -) !)9'89"
#. EQUIPO DE LABORATORIO artillo de -c%midt
nsayo de Compresin unia
1ma$en3 nsayo unia
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UNIVERSIDAD NACIONAL SAN ANTONIO ABAD MECANICA DE ROCAS studios %an mostrado #ue el rupo -an Rernimo reposa sobre secuencias datadas paleontol$icamente como del &aleocenoAoceno inferior !7ormacin C%ilca". 8uevas edades trazas de fisin 76 en apatitos de la base de la 7ormacin Zayra indican una edad de ;=.F [ J.M a !oceno basal" %asta 43 a 4= a. n consecuencia, la edad de la 7ormacin Zayra es eocena inferior. n las cabeceras del río Ccac%ona y en la #uebrada #ue ba(a de 9ccopata e
EL GRUPO SAN JERÓNIMO 9ri$inalmente %a sido dividido en tres formaciones Zayra !3000 m", -oncco !2F00 m" y &unacanc%a !2M00 m". 'ctualmente solo las formaciones Zayra y -oncco se %an redefinido como parte del rupo -an Rernimo #ue sobreyace en discordancia erosional a las formaciones *uil#ue y C%ilca. Las formaciones Zayra y -oncco forman un con(unto #ue está principalmente constituido por areniscas feldespáticas intercaladas con limonitas y al$unos bancos de con$lomerados, todos de ori$en fluvial y de edad eocena inferior oli$ocena inferior.
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UNIVERSIDAD NACIONAL SAN ANTONIO ABAD MECANICA DE ROCAS
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UNIVERSIDAD NACIONAL SAN ANTONIO ABAD MECANICA DE ROCAS RESISTENCIA A LA COPRESIÓN
PUNTOS GPS 1!"'."# J4EJ=E3.;3
+e acuerdo a la tabla de resistencia de compresin simple en este parametro se denota #ue la resistencia resistencia
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UNIVERSIDAD NACIONAL SAN ANTONIO ABAD MECANICA DE ROCAS R QD
DIACLASASA 10 CM LONGITUD DE MUESTRA
R QD
103036 cm 150 cm
X 100
X 100
-.D C 5/67
l cálculo de )*+ nos muestra un resultado de ;0.FM \ esto nos indica #ue localidad d rocas es re$ular y nos da <1 -U3B C 2""& BUIA3>&T C 49 S una 5 D>AELASAS PARAMETROS 1 2 " 4 5 TTAL ESPACIAMIENTO (< "7 4" 2 5 "2 "6/4 APERTURA ( 5 4 5 " 6 4/6 PERSISTENCIA (78/0 19 18 " 2 28
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UNIVERSIDAD NACIONAL SAN ANTONIO ABAD MECANICA DE ROCAS )59C1+'+ LEVEMENTE RUGOSA CUADRO DE DATOS N+ 162Y #: cuadro de datos de la primera ventana estructural en estudio
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UNIVERSIDAD NACIONAL SAN ANTONIO ABAD MECANICA DE ROCAS
RQD
155525221013 cm 280 cm
X 100
)*+ Q ;0\
* c*cu*% #e -.D %s muestra u resu*ta#% #e 5 est% %s i#ica Jue *%ca*i#a# # r%cas es
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UNIVERSIDAD NACIONAL SAN ANTONIO ABAD MECANICA DE ROCAS Cuadro de datos 8T 4,; y F cuadro de datos de la se$unda ventana estructural en estudio
7oto 8T ; ventana estructural 7ocon to las 8T 3 familias F desde cripcin de los diaclasa #ue se muestran respectivamente arámetro arámetross tomad tomados os en cam cam o /
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UNIVERSIDAD NACIONAL SAN ANTONIO ABAD MECANICA DE ROCAS
RUMBO 2"#N
<1
PARAMETROS ESPACIAMIENTO (< APERTURA ( PERSISTENCIA (78/0
BUZAMIENTO #' NE
1 " 1
5 D>AELASAS 2 " 22 41 2 1
4 2" "
5 15 2
TTAL 26/2 1/8
1/5
1/8
"/2
1/5
1/88
1/4
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UNIVERSIDAD NACIONAL SAN ANTONIO ABAD MECANICA DE ROCAS RQD PROEDIO /0%'.;(9%'9;+.%(43 RQD/ %;.*1& La 0a*%raci+ Jue se #a )ara este )armetr% es A2 es A2 C 1"
ESPACIAIENTO: ?etaa 1
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UNIVERSIDAD NACIONAL SAN ANTONIO ABAD MECANICA DE ROCAS A*teraci+
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UNIVERSIDAD NACIONAL SAN ANTONIO ABAD MECANICA DE ROCAS T%ma#%s #e *a "ra 0etaa
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