FUNDAMENTOS DE MECÁNICA DE ROCAS

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FUNDAMENTOS DE MECÁNICA DE ROCAS

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UNIVERSITAT POLITÈCNICA DE CATALUNYA Escola Escol a Tècnic Tècnica a Superio Superiorr d’Enginy d’ Enginyers ers de Camins, Camins, Cana Canals ls i Ports

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1. INTRODUCCIÓN:  Sign up to vote on this title 1.1 Roca Roca matriz+di matriz+discont scont =maci =macizo zo rocoso roc oso  Useful  Not useful 1.2 Análisis macizos: leyes de material+problema de contorn 2. COMPORTAMIENTO MECÁNICO DE LA ROCA MATRIZ

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1. INTRODUCCIÓN:  Sign up to vote on this title 1.1 Roca Roca matriz+di matriz+discont scont =maci =macizo zo rocoso roc oso  Useful  Not useful 1.2 Análisis macizos: leyes de material+problema de contorn 2. COMPORTAMIENTO MECÁNICO DE LA ROCA MATRIZ

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Natu turale ralezza di disc scon ontitinu nua a de las las ro rocc a Sign up to vote on this title

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Naturaleza discontinua de las roca (cont) Sign up to vote on this title

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Naturaleza discontinua de las roca (cont)

 up to vote on están this title • Las propiedades del macizoSignrocoso casi  Useful  Not useful siempre determinadas por las discontinuidades

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Lo importante en mecánica de rocas es lo que no e

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Naturaleza discontinua de las roca (cont) 

Sign up to vote on thisfácilment title • Los bloques de roca se mueven más  Useful  Not useful en la dirección cinemáticamente posible Posible

Rotura

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Naturaleza discontinua de las roca(cont) 

• Comparación de algunas propiedades  (macizo rocoso vs roca matriz ) Sign up to vote on this title Useful

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Generalidades Comp. Mec.  up to vote on this title • El estudio del comp.mec. en Sign macizos rocosos  Useful  Not useful general requiere:

– comprensión intuitiva (criterio ingenieril, modelo conceptu

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Problema estructural o de contorno Sign up to vote on this title

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Leyes del material • Hay que definir el nivel de observación y análisis: que  Sign up to vote on this title considera incluido en el “material” p.ej:

  – Incluye solo roca matriz, y las discontinuidades no existen o s representan aparte explícitamente (tema 3, juntas) Useful

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Leyes del material (“ ecs. constitutiv Sign up to vote on this title

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RECORDATORIO DE CONCEPTOS BASICOS Tensión: • Sentido físico (F/A) en 1D, tensiones en un plano en 2D/3D • Caracter tensorial: tensiones en diferentes planos,representación como  matriz, proyección en un plano, reglas Sign up to votede ongiro this title • Valores principales, direcciones principales, elipsoide Cauchy, Not useful  Usefulde  círculo de Mohr • Invariantes

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Ensayos roca matriz Sign up to vote on this title

• Preparación de las probetas Useful – extracción del testigo

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Compresión simple

Determinación de la resistencia a compresión uniaxial  Sign up to vote on this title de una probeta cilíndrica de roca obtenida de sondeos  Useful  Not useful  Obtención de las constantes elásticas de la roca (módulo de Young, coeficiente de Poisson) 

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Compresión simple MEDIDA

DE LA DEFORMACION LONGITUDINAL Sign up to vote on this title • Galgas extensométricas

L

Useful  Not useful – miden la deformación  local – ε ≈ 10-6

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Compresión simple MEDIDA

DE LA DEFORMACION TRANSVERSAL • Galgas Sign pegadas horiz.  up to vote on this title (problemas),  Useful o Not useful

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Compresión simple Ensayos

con CONTROL DE CARGA (no post-pico) Sign up to vote on this title

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Compresión simple  ENSAYOS

CONTROL DESPL Sign up to vote on this title • Comportamiento axial (eje de  Useful  Not useful carga):

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Compresión simple

CARACTERISTICAS PRPALE  Sign up to vote on this title Useful  Not useful • Módulo, resistencia • Comportamiento post-pico: 

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Compresión simple Determinación

de las Constantes elásticas

 • Determinación no tan trivial como podría parecer en un principio Sign up to vote on this title • “El módulo de elasticidad depende de  la deformación” (en realida Useful  Not useful las curvas no son lineales salvo en un pequeño rango) En alidad la defi ió ci al ha be bi

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OTRAS CORRELACIONES


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El en s ay o tr trii ax i al

Signbeta up toa vote on ndri this title • Ensa Ensayo yo tria triaxia xiall (co (conv nven encio ciona nal) l):: pro probet cilí cilínd rica ca   Useful  Not useful rodeada de una membrana elástica • La pro probe beta ta se se colo coloca ca en en una una célul célula a bajo bajo pre presió sión n induc induc

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El en s ay o tr trii ax i al Sign up to vote on this title

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El ensayo triaxial Sign up to vote on this title

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El ensayo triaxial •

Efecto del nivel de tensiones en la – resistencia – deformabilidad – tipo de comportamiento


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Influencia del tiempo 

• El comportamiento de algunas rocas es   tipo viscoso, exhibiendo el fenómeno de fluencia (“creep”): deformación creciente Sign up to vote on this title Useful

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Influencia del tiempo • Mecanismos:


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Not useful  Usefullosniveles – Viscosidad (flujo de masa) – a todos de tensiones (similar a la “fluencia” del hormigón – vis lasticidad lineal )

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Influencia del tiempo CURVAS TIPICAS DE ROCAS BLANDAS, ENSAYO DE FLUENCIA (carga constante) • Fluencia primaria (I): – deformaciones diferidas a velocidad


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Influencia del tiempo caliza

granodiorita


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Influencia del tiempo Sign up to vote on this title

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esquisto de

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Influencia del tiempo esquisto de Valdecañas Sign up to vote on this title 

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Influencia del tiempo NO-LINELIDAD: INFLUENCIA DEL NIVEL DE TENSION Sign up to vote on this title

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ensayos de fluencia

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Influencia del tiempo REPRESENTACION EN DIAGRAMA TENSION-DEFORMACION Sign up to vote on this title

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Influencia del tiempo Sign up to vote on this talud entitle la

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sierra Not useful del Montsant

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3


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3-Modelos de material • para estudios de DEFORMABILIDAD (Sec 3.1) – Elasticidad (isótropa o anisótropa) – Viscoelasticidad


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• para estudios de RESISTENCIA (Sec 3.2)

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Elasticidad lineal Sign up to vote on this title • Elasticidad Isótropa (2 constantes) Useful Not useful

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Elasticidad isótropa 2 parámetros: E, 


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Elasticidad anisótropa “Isotropía transversal” (5parám). Utilizada en algunos casos


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Visco-elasticidad lineal Sign up to vote on this title • Sólo en casos con un comportamiento  Useful  Not useful viscoelástico importante (e.g. roca salina)

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Viscoelasticidad lineal Sign up to vote on this title

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 Sign up to los vote on this title • Criterio de rotura: relación entre  Useful  Not useful componentes de las tensiones que establece l la condición de rotura de una roca sometida a

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Criterio de Mohr-Coulomb  Sign up to vote on this title

 cr    c   tan  

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Criterio de Mohr-Coulomb

PROC OBTENCION Sign up to vote on title 1.thisHacer

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  3   ci

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Criterio Hoek-Brown original (1980 • Representación en ejes σ 1 - σ 3 Sign up to vote on this title

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Criterio Hoek-Brown original (1980 

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Criterio Hoek-Brown generalizado (2002

  3    s  1   3   ci  mb   ci 

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Criterio Hoek-Brown generalizado (2002 • GSI: Nuevo indice “Geological Strength Inde” 0 ≤ GSI ≤ 100


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D = factor que

depende del grado de alteración a que


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Anisotropía de las rocas

GENERAL  Sign up to vote on this title • Materiales anisótropos: sus propiedades varían en  Useful  Not useful función de la dirección considerada para su medida • Rocas → material anisótropo: resistencia, deformación

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Criterio más sencillo para resistencia de un plano únic de orientación : Culomb: 

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,  proyecciones del estado tensional en el plano:

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Anisotropía de las rocas Sign up to vote on this title

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Anisotropía de las rocas Sign up to vote on this title

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 Sign up to vote on this title COMENTARIOS:  Useful  Not useful • Las rocas muestran la máxima resistencia a la compresión en dirección perpendicular a la

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FUNDAMENTOS DE MECÁNICA DE ROCAS

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