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Short Course Finite Element Analysis of Static and Dynamic Soil-structure Interaction of Geosystems Department of Civil Engineering, NIT Warangal Dr. Arindam Dey Associate Professor Geotechnical Engineering Division Department of Civil Engineering IIT Guwahati

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  • Short Course

    Finite Element Analysis of Static and Dynamic

    Soil-structure Interaction of Geosystems

    Department of Civil Engineering, NIT Warangal

    Dr. Arindam DeyAssociate Professor

    Geotechnical Engineering Division

    Department of Civil Engineering

    IIT Guwahati

  • Introduction Dams are structural barriers

    Construction of earthen dams in the north-eastern region of

    India

    -regional flood management measure

    -incessant rainfall and encompasses around 12% of the

    total flood area of the country (Das et al., 2017)

    Chief drawback of earthen dams

    -prone to get overtopped

    -seepage, internal erosion, piping, clogging, cracking

    Prevention of failures of earthen dams and embankments

    Drainage layers -expected to protect the earthen dams

    Instability of dams due to hydraulic fractures (Yang et al.,

    2004) 207-01-2021 Short Course, NIT Warangal

  • Failures of Earthen Dams Across the World

    307-01-2021 Short Course, NIT Warangal

  • Fenton and Griffiths (1997) The influence of spatial variability of the permeability of the dam on the development of internal

    hydraulic gradients was attempted. It was found that the spatial variability of the permeability does

    lead to a probability of higher internal gradients.

    Reddi et al. (2000) Studied the reduction of permeability of the filters due to clogging. It was observed that an increase

    in influent particle concentration results in faster reduction of the filter permeability. However, the

    filter performance was not affected by the flow rate.

    Reboul et. al. (2010) A method was proposed to compute the constriction size distribution of model granular filters taking

    into account the relative density of the material.

    Sherard (1973) Suggested that the existing closed cracks can jack open under certain conditions of reservoir pressure

    acting on the upstream face of the core in a zoned earthen dam.

    Vaughan (1976) Introduced the term “wet cracks” for the cracks formed during or after the reservoir rise-up. The

    occurrence of tensile failure was observed when the seepage pressure was applied rapidly to an

    already existing initial crack, or imperfection, leading to the failure of the dam.

    Leonards and Davidson (1984),

    Mesri and Ali (1988)

    Defined saturation settlement as the cause of core cracking due to hydraulic fracturing. Saturation

    settlement develops during the filling of a reservoir, when the poorly compacted soil or pervious

    zones and layers (comprising loose material) becomes saturated and consolidates under their own

    weight, before the dry or denser soil arches over it and gets the chance to saturate and collapse. A

    discontinuity or a crack is developed along the position of the phreatic line. Any subsequent increase

    in water level allows the entry of water into this crack enabling the erosion to occur. Such collapse

    can be either sudden or gradual.

    Past Studies

    407-01-2021 Short Course, NIT Warangal

  • 5

    Basic Methodology Considered in Numerical Simulation

    Seepage Analysis : Seep/w module

    Deformation Analysis : Sigma/w module

    Stability Analysis : Slope/w module

    𝜕

    𝜕𝑥𝑘𝑥𝜕𝐻

    𝜕𝑥+

    𝜕

    𝜕𝑦𝑘𝑦

    𝜕𝐻

    𝜕𝑦+ 𝑄 =

    𝜕𝜃

    𝜕𝑡

    𝑋 = 𝐸𝜆𝑓 𝑥 , Morgenstern and Price (1965)

    b s nK a F F F F

    where, [K] is the element characteristic (or stiffness) matrix, {a} is the nodal incremental displacement vector, {F} is the applied nodal incremental

    force, {Fb} is the incremental body force vector, {Fs} is the force vector due to surface boundary incremental pressures, and {Fn} is the vector of

    concentrated nodal incremental forces.

    where, f(x) is a function, λ is a scaling factor, E is the interslice normal force and X is the interslice shear force

    where, H is the total head, kx, ky are the hydraulic conductivities in the Cartesian directions, Q is the applied boundary flux, θ is the volumetric water

    content, and t is the elapsed time.

    07-01-2021 Short Course, NIT Warangal

    GeoStudio 2012

  • • A fully-automated robust unstructured meshing (employing element compatibility)

    -generated on the basis of the defined geometry,

    -can be altered or subjected to further local or global refined as per the necessity

    • Different type of finite element mesh patters namely,

    -Quads and Triangles, Triangles only, Rectangular grid of quads, Triangular grid of Quads /

    Triangles

    • Unstructured mesh comprising ‘quad and triangle’ is utilized

    -selected element type conforms to the 4-noded quadrilaterals and 3-noded triangles,

    respectively

    Seep/w Simulations

    -constant total head (H) and total head (H|t|) boundary conditions

    Sigma/w Simulations

    -base of the model is restrained from displacement in both the directions,

    -far lateral boundaries are restrained from horizontal displacement but are kept free from

    vertical restraint

    -fluid pressure boundary is used to specify the elevation of the water surface

    Slope/w Simulations

    -‘Entry and Exit’ method of defining the slip circles and identify the critical slip circle is used

    Meshing and Boundary Conditions

    607-01-2021 Short Course, NIT Warangal

  • Seep/w

    The embankment and core

    -‘Saturated / Unsaturated’ material model

    The foundation

    -‘Saturated Only’ material model

    Sigma/w

    Linear Elastic material model

    Elastic Perfectly Plastic material model

    Slope/w

    Mohr-Coulomb failure criterion

    Material models

    7

    Stages of Analyses

    Steady state seepage analysis : To set up the initial pore water pressures and total head conditions

    In-situ analysis : To set up the initial stress conditions

    Load/Deformation analysis : To simulate the staged construction of dams

    Coupled Stress/PWP analysis : To generate - different drain clogging scenarios, reservoir operating conditions

    Stability analysis : Stress based in Slope/w07-01-2021 Short Course, NIT Warangal

  • Numerical Modeling of Earthen Dam: Validation With Field Data

    Evolution of Finite Element Method (FEM) from a research tool into a daily engineering tool

    -application for the analysis of geotechnical engineering problems

    Many advantages provided by the usage of FEM, but it also suffers from some limitations

    -simplified representation of the actual soil behaviour forms one of the main limitations

    Some features of soil behaviour will not be captured by the model

    Validation of the numerical models with the actual field scenario becomes essential

    Validation confirms the accuracy with which the model captures the reality

    Numerical model simulating reservoir drawdown condition in an earthen dam

    was validated with real field condition

    807-01-2021 Short Course, NIT Warangal

  • MODEL FOR THE STUDY(Paton and Semple, 1961)

    Typical dam section of Glen Shira Dam,

    Scotland (Pinyol et. al., 2016)

    9

    c

    (kPa)

    φ

    (degree)

    γ

    (kN/m3)

    E

    (kPa)

    k

    (m/s)

    Morainic fill 15 25 18 5000 10-8

    Graded filter 0 25 16 10000 10-1

    Core wall 12 20 18 25000 10-18

    Rockfill 0 30 16 15000 10-3

    Foundation 12 18 20 30000 10-16

    MATERIAL PROPERTIES(USBR 2003; USBR 2014; Pinyol et. al., 2016;

    Paton and Semple, 1961; Geotechdata.info, 2013)

    Rate of reservoir drawdown (function of total head with time)07-01-2021 Short Course, NIT Warangal

  • RESULTS AND DISCUSSIONS

    10

    Average percentage difference between the measured values

    and Geostudio simulations is 10%

    07-01-2021 Short Course, NIT Warangal

  • (a) (b)

    (c)

    • Total head contour values and distribution

    • Results from Geostudio gives very similar nature

    • Compared with the computed and interpolated

    values

    Code_Bright (Alonso & Pinyol, 2016) Paton and Semple, 1961

    Geostudio results

    1107-01-2021 Short Course, NIT Warangal

  • Dams and seepage

    50% of all dam failures are attributed to excess seepage (Fell and Foster, 2000)

    Application of filters and drains have been a common method to control the seepage flow (USBR, 2003)

    But what if these drains and filters undergo clogging…

    Dam failures associated drain clogging (Vaughan and Soares 1982; Von Thun 1985; Peck 1990; Vick 1996)

    Fonte Santa tailings dam in Northeast Portugal, failure on November 27, 2006 (Franca et al., 2008).

    Clogging is a major public concern limiting the lifetime of the structures

    In earthen dams clogging is a serious issue, however few works are done to study the response of the dams due to clogging

    12

    RESPONSE OF HOMOGENEOUS EARTHEN DAM SUBJECTED TO

    CLOGGING OF DRAINAGE BLANKET

    07-01-2021 Short Course, NIT Warangal

  • MODEL GEOMETRY Earth dam models with dimensions as per IS 12169:1987

    13

    c

    (kPa)

    φ

    (degree)

    γ

    (kN/m3)

    E

    (kPa)

    k

    (m/s)

    Embankment 10 25 20 15000 10-7

    Foundation 15 20 20 30000 10-10

    Drain 2 30 18 12000 10-2

    Clog 10 25 20 15000 10-7

    MATERIAL PROPERTIES

    (IS 12196:1987; USBR 2014; NAVFAC Design Manual 7.2, 1982, Geotechdata.info, 2013)

    07-01-2021 Short Course, NIT Warangal

  • SCENARIOS INVESTIGATED IN THE STUDY

    Dam without any drainage blanket (NDC)

    Dam with fully functional drainage blanket (FDC)

    Dam with clogged drainage blanket (CDC)

    Different Forms of Clogging

    14

    07-01-2021 Short Course, NIT Warangal

  • Steady state condition of reservoir operation

    • Horizontal Drainage Blanket

    Pore water pressure near the toe

    Fully functional drainage blanket condition (FDC)

    Without drainage blanket condition (NDC)

    Clogged drainage blanket condition (CDC)

    RESULTS AND DISCUSSIONS

    1507-01-2021 Short Course, NIT Warangal

  • Steady state condition of reservoir operation

    • Horizontal Drainage Blanket

    Excess pore water pressure contours for fully functional drain condition (FDC)

    Excess pore water pressure contours for clogged drain condition (CDC) 16

    07-01-2021 Short Course, NIT Warangal

  • Contours for CDC (a) Gradient (b) Velocity

    Contours for FDC (a) Gradient (b) Velocity

    1707-01-2021 Short Course, NIT Warangal

  • Steady state condition of reservoir operation

    • Inclined Drainage Blanket

    Pore water pressure near the toe

    Without drainage blanket condition (NDC)

    18

    Fully functional drainage blanket condition (FDC)

    Contours for FDC (a) Gradient (b) Velocity

    Contours for CDC (a) Gradient (b) Velocity

    Clogged drainage blanket condition (CDC)

    07-01-2021 Short Course, NIT Warangal

  • (a) Horizontal drainage (b) Inclined drainage

    Pore Water Pressure Variation

    Inward Outward Upward Downward Random

    Inward

    Random

    Outward

    Pore Water Pressure (PWP)

    (kPa)

    Horizontal drainage blanket

    50 44 29.73 44 33.74 29.82

    Inclined drainage blanket

    34 0.50 7.99 0.58 0.61 1.57

    Pore-water

    pressure (kPa)

    Downstream

    Slope

    Deformation (m)

    Base Settlement

    (m)

    Exit Gradient

    Horizontal drainage blanket (Inward Clogging)

    50 0.099 0.09 2.4

    Inclined drainage blanket (Inward Clogging)

    34 0.08 0.07 0.95

    19

    (a)

    (b)

    07-01-2021 Short Course, NIT Warangal

  • Transient state condition of reservoir operation

    • Drawdown : Rate 1.5 m/day

    Pore water pressure at the base of the

    embankment at 150th day

    Horizontal drainage blanket

    Inclined drainage blanket

    Excess pore water pressure for clogged drain at the end of

    drawdown; i.e., on 6th day

    Horizontal drainage blanket

    Inclined drainage blanket

    2007-01-2021 Short Course, NIT Warangal

  • Transient state condition of reservoir operation

    • Rise-up : Rate 1.5 m/day

    Inclined drainage blanket

    Pore water pressure at the base of the

    embankment at 150th day Excess pore water pressure for clogged drain at the end of rise

    up; i.e., on 6th day

    Horizontal

    drainage blanket

    Inclined

    drainage blanket

    21

    Horizontal drainage blanket

    07-01-2021 Short Course, NIT Warangal

  • Stability values for inclined drainage blanket

    NDC FDC

    CDC

    Stability analysis

    Stability values for horizontal drainage blanket

    1.241

    FDC

    CDC

    NDC

    2207-01-2021 Short Course, NIT Warangal

  • Inclined drainage blanketHorizontal drainage blanket

    Overall, no definite comparative trend could be observed from different forms of clogging

    -different forms of clogging would affect the stability in their own unique way

    -inward clogging is observed to yield lowest stability values

    -random clogging gives highest stability

    2307-01-2021 Short Course, NIT Warangal

  • Stability analysis

    Variation of

    FoS for

    drawdown

    case

    Variation of

    FoS for rise up

    case

    Upstream faceUpstream face

    Downstream face Downstream face 2407-01-2021 Short Course, NIT Warangal

  • 25

    Rate of Clogging

    1 m/day

    0.01 m/day

    1 m/day

    0.01 m/day

    1 m/day

    0.01 m/day

    Rise up DrawdownSteady State

    07-01-2021 Short Course, NIT Warangal

  • HYDRAULIC FRACTURING AND CRACKING OF HOMOGENEOUS

    EARTHEN DAMS

    Detrimental effects of cracks on earthen dams and embankments was first observed by Casagrande (1950)

    Causes of different crack formation in earthen dams was summarized by Sherard (1973)

    -differential settlement due to the presence of elements comprising of different deformability characteristics

    -hydro mechanical forces causing redistribution of stresses in the dam during rapid filling and emptying of the reservoir

    -presence of soils with piping instability placed in the body of the earth dam and in the core of earth-rock dams

    -foundation comprising of compressible, or piping-unstable soils; marked changes in the topography of the footing and side

    abutments of the dam

    -cracking is also caused by seismic forces

    Most often cracks are formed by a combination of several of the aforementioned causes.

    Identify the crack locations at the end of dam construction and during its operational stage

    2607-01-2021 Short Course, NIT Warangal

  • Analysis for Case I (Sequential Dam Construction in Single and Multiple layers)

    Simulation of sequential dam construction was carried out using the Load/Deformation analysis

    -placing the embankment fill either in single layer or

    -multiple layers

    For the multiple layer analysis, the total embankment height of 15 m was divided into five smaller lifts

    -the height of each lift being 3 m

    27

    MODEL FOR THE PRESENT STUDY

    (IS 12196:1987; USBR 2003; USBR 2014; NAVFAC Design Manual 7.2, 1982, Geotechdata.info, 2013)

    07-01-2021 Short Course, NIT Warangal

  • Analysis for Case II (Operational Stage: 2.8 m/day; Reservoir Rise Up and Drawdown Condition)

    After attaining steady state condition Before attaining steady state condition28

    07-01-2021 Short Course, NIT Warangal

  • • Possibility of hydraulic fracturing in earthen dams based on:

    -differential settlement after construction

    • Other pattern was the case where pore water pressure comes into play with reservoir filling

    • Pore water pressure in the core increases which results in the decrease of the effective stress (σ’3)

    • It becomes equal to the effective tensile strength (p’t) to jack open latent cracks.

    RESULTS AND DISCUSSIONS

    Figure (a) : decrease in σ3 resulted in the growth of initial stress circle (I) on the left side which finally touches the failure

    envelop at the circle (II) to open tension cracks

    Figure (b) : initial stress circle (I) touched the failure envelope at

    the circle (II) by shifting towards the left without any change in

    the diameter gives a criterion in this case: σ’3 < - p’t

    Ohne and Narita, 1977

    during dam construction during reservoir operation

    2907-01-2021 Short Course, NIT Warangal

  • • Maximum negative stress for upstream slope of the dam simulated

    -with a single lift was 29.5 kPa at a height of 17.02 m

    -with multiple lift was 24.84 kPa at a height of 17. 28 m

    • Maximum negative stress for downstream slope of the dam simulated

    -with a single lift was 29.05 kPa at a height of 17.05 m

    -with multiple lift 25.05 kPa at a height of 17. 28 m

    • Maximum negative stresses occurred at height of approximately 17 m

    to 17.3 m

    -approximately ½ of the height of the embankment

    -makes it the most vulnerable location for crack initiation

    a) Upstream face

    b) Downstream face

    Analysis for Case I (Sequential Dam Construction in Single and Multiple layers)

    3007-01-2021 Short Course, NIT Warangal

  • 31

    Analysis for Case II (Operational Stage: Reservoir Rise Up Condition)

    Possibility of hydraulic fracturing along the upstream face

    -at around 0.2-0.25 times the embankment height measured from

    the base

    Possibility of hydraulic fracturing does not

    exist along downstream face

    07-01-2021 Short Course, NIT Warangal

  • Analysis for Case II (Operational Stage: Reservoir Drawdown Condition)

    After the steady-state phreatic surface is attained

    Upstream face

    32

    Downstream face

    0.5-0.75 times the height earthen dam, measured

    from its basePossibility of crack occurrence is minimal

    07-01-2021 Short Course, NIT Warangal

  • Investigation for hydraulic fracturing during reservoir drawdown condition before the steady-state is

    attained (a) upstream face (b) downstream face 33

    • Substantial possibility of hydraulic fracturing along the upstream face

    -significant release of PWP that accumulated during the reservoir rise-up

    -constant reservoir level for a certain duration

    -height of 9 m height from the base of the earthen dam

    -approximates to 0.6 times the height of the dam measured from the base

    • Along the downstream face of the dam

    -no favorable conditions leading to hydraulic fracturing

    -migration of phreatic surface within the earthen dam did not attain a

    steady state

    (a)

    (b)

    Before the steady-state phreatic surface is attained

    07-01-2021 Short Course, NIT Warangal

  • • Hydraulic fracturing in dams has an inherent difficulty

    -hydraulic fractures observation by direct visualization is not possible

    -open only when the water pressure comes into play

    -within the dam

    • Dam failures due to hydraulic fracture

    -development of high pore water pressure downstream of the core

    • Teton Dam failure failed just within few hours after the first leakage was

    spotted

    • Cause of initial leak is nearly impossible as erosion would destroy any proof

    • Understanding the initiation of core cracking is challenging

    -numerically investigate the possibility of core cracking during different reservoir conditions by hydraulic fracturing

    34

    HYDRAULIC FRACTURING AND CRACK PROPAGATION IN ZONED

    EARTHEN DAMS WITH A CENTRAL IMPERVIOUS CORE

    07-01-2021 Short Course, NIT Warangal

  • c

    (kPa)

    φ

    (degree)

    γ

    (kN/m3)

    E

    (kPa)

    k

    (m/s)

    Shell 5 28 18 15000 10-6

    Foundation 15 20 20 30000 10-10

    Core 10 32 20 9000 10-8

    MATERIAL PROPERTIES(IS 12196:1987; USBR 2003; USBR 2014; NAVFAC

    Design Manual 7.2, 1982, Geotechdata.info, 2013)

    35

    MODEL GEOMETRY Earth dam models with dimensions as per IS 12169:1987

    07-01-2021 Short Course, NIT Warangal

  • 36

    • Just at the initial stages of the reservoir filling

    - possibility of hydraulic fracturing is substantially less

    -build-up of pore-water pressure

    -magnitudes of minor principal stress

    -case of corresponding plots for 5th day

    • Just after the completion of the reservoir rise-up

    -possibility of hydraulic fracturing increases

    -pore-water pressure increases

    -approaches the magnitude of the minor principal

    stress

    -can be observed from the comparative plots of 38th

    day

    • After long time from the completion of reservoir rise-up

    -slow dissipation of excess pore-water pressure

    -very low conductivity of the material of central core

    -no changes in pore-water pressure and total stress

    profilesVariation of minimum total stress and PWP along the upstream

    face of the central core

    None of the profile indicate a conclusive occurrence of hydraulic fracturing along the upstream face of the central core

    RESULTS AND DISCUSSIONS

    Analysis for reservoir rise-up condition (0.5 m/day)

    07-01-2021 Short Course, NIT Warangal

  • 37

    • Define a modified limiting condition that can be considered for the conceptual detection of hydraulic fracturing

    -the temporal variation of the stress ratio (ratio between the minimum total stress and PWP) is investigated

    • As per the criterion of Ohne and Narita (1977)

    -hydraulic fracturing will initiate

    -stress ratio would be equal to or greater than 1 (one)

    • Approximately until the 25th day, the stress ratio is transient

    -development of the PWP

    • From the 35th day, i.e. after the reservoir rise-up is complete

    -stress ratio increases

    -arrives at a stable magnitude

    -stabilization of the pore-water pressure fluctuations

    Variation of stress ratio with elevation for the time elapsed after

    reservoir rise-up

    07-01-2021 Short Course, NIT Warangal

  • (a) Variation of maximum stress ratio with elapsed time (b) Variation of elevation of occurrence of maximum stress ratio with elapsed time

    (a)

    (b)

    38

    • Stress ratio increases with time and attains a stable magnitude of 0.8

    -considering different uncertainties associated with dam

    construction

    -hydraulic fracturing can be reasonably said to initiate

    -stress ratio at the upstream face of the core is 0.8

    • Identify the tentative location

    -maximum stress ratio occurred at an elevation of 11.25 m from

    the base of the dam

    -approximately at 3/4th the height of the dam, measured from the

    base

    07-01-2021 Short Course, NIT Warangal

  • 39

    Strain contours on 38th day

    Seepage velocity at Point

    K along the upstream face

    of the core

    Hydraulic gradient contour on 38th day

    Strain concentration occurred on the upstream core

    face

    -at about 3/4th of the height of the dam,

    measured from the base

    High gradients along with high seepage velocity

    gives sufficient favourable conditions for internal

    erosion of the dam core

    07-01-2021 Short Course, NIT Warangal

  • • Figure (a) shows that hydraulic fracturing is possible

    -only at the start of the drawdown condition

    -as seen for the 5th day

    • Location of maximum possibility of hydraulic fracture

    -i.e., 3/4th height of earthen dam

    -measured from the base

    • As the drawdown progressed the pore water pressure decreased

    • Figure (b) shows that hydraulic fracturing is not possible

    Analysis for reservoir drawdown condition (0.5 m/day)

    Hydraulic fracturing at the upstream of central core during reservoir drawdown condition (a) after attaining steady state

    condition (b) before attaining steady state condition 40

    (a)(b)

    (a)

    (b)

    07-01-2021 Short Course, NIT Warangal

  • Non-homogenous earth fill dam

    Load Transfer or Arching Phenomenon

    -pore water pressure can become more than total stress

    within core (Sherard 1991; Ono and Yamada 1993)

    Hydraulic Fracturing

    -differential settlement

    -increase of pore water pressure in the core

    Internal erosion

    Efficacy of Drainage Blankets in Zoned

    Earthen Embankment Dams

    41

    Ohne and Narita, 1977

    07-01-2021 Short Course, NIT Warangal

  • Phreatic surface location

    Horizontal drainage blanket (FDC) Inclined drainage blanket (FDC)

    No drainage blanket condition (NDC)

    42

    Efficacy of Drainage Blankets in Zoned Earthen Embankment Dams

    07-01-2021 Short Course, NIT Warangal

  • Internal gradient Seepage velocity (m/days) 43

    Internal gradient and seepage velocities

    07-01-2021 Short Course, NIT Warangal

  • 44

    • Internal gradient varies along the meandering seepage path

    -owing to different amounts of head loss at different locations along the path

    -internal gradient that might lead to the initiation of internal erosion may be as low as 0.02-0.08 for particularly

    susceptible soils (Schmertmann, 2000)

    -can be much lower than critical exit gradient (often considered as 1.0)

    • Location of occurrence of maximum internal gradients is same for all the cases

    -contact interface of the core and the downstream shell or the inclined drainage blanket

    • Developed internal gradient is observed to be sufficiently high

    • Combination of developed internal gradient and seepage velocities will initiate the internal erosion

    -governed by many additional factors, most importantly the soil gradation

    -investigation of internal erosion is out of scope of the present dissertation work

    • Presence of the drainage blanket in a zoned dam having an impervious foundation

    -no role in preventing the potential risk for internal erosion within the core

    • Influence of drainage blankets in the case of a cracked core is investigated

    07-01-2021 Short Course, NIT Warangal

  • Core with a crack (No drainage blanket condition)

    Core with a crack (Horizontal drainage blanket ) Core with a crack (Inclined drainage blanket )

    Presence of drainage blankets

    -prevents the rise of the phreatic surface such that it does not intersect the downstream face

    -hydraulic fracturing or cracking in the core puts the operation of the dam at risk

    -presence of the drainage blanket could be effective in protecting the downstream

    45

    However, in reality, the crack would evolve through the central core,

    rather than following a predefined path

    07-01-2021 Short Course, NIT Warangal

  • Identification of crack propagation path

    (a) Nodal points demarcating maximum stress ratio in the

    region of maximum strain on the 38th day (b) Demarcated

    region assigned with high permeable material to simulate virtual

    flow path of water due to cracking

    • Propagation path was traced by identifying the nodal points

    -around the location of crack initiation

    -where the stress ratio was approximately equal to 1

    in the region of maximum strain contours

    • Process is initiated from the 38th day

    -that demarcates the possible initiation of core

    cracking

    • Once demarcated, a region comprising of high permeable

    material was assigned in the numerical simulation

    -thereby implying nearly free percolation of water

    -through the region as if it is the preferred path after

    the crack is virtually simulated

    (a)

    (b)

    4607-01-2021 Short Course, NIT Warangal

  • Simulation was completed for the 38th day

    -the corresponding strain contours, gradient and

    velocity were checked

    -to develop the idea of successive demarcation

    -the nodal points with maximum stress ratio

    (approximately equal to 1) for the next day, i.e. the

    39th day

    4707-01-2021 Short Course, NIT Warangal

  • • Identification of the possible crack enhancement

    region on the 39th day

    -as earlier, a high permeable material is

    assigned

    -the analyses is carried forward for the

    successive days

    • As the analysis is conducted progressively for

    successive days,

    -the path of crack propagation is identified

    through the core of the dam

    • Analysis is stopped once the crack propagates and

    merges with the downstream face of the central

    core

    4807-01-2021 Short Course, NIT Warangal

  • 49

    Providing a simplistic modeling technique for simulating various possible mechanisms of drainage

    blanket clogging and their influence on the stress-flow-deformation response of earthen dams.

    Showcasing the importance and efficacy of drainage blankets, especially the inclined chimney

    drainage blankets, in establishing the continuous functioning and long-term safety of earthen dams,

    even after the same gets partially clogged.

    Highlighting the importance of the drainage blankets in ascertaining the performance of a zoned

    earthen dam with the presence of a cracked central impervious core.

    Based on numerical modeling and standard stress-PWP criterion, assessing the tentative locations of

    initiation of cracking and hydraulic fracturing of the shell and core of homogeneous and zoned

    earthen dams, respectively.

    Tracing and identifying the path of crack propagation through the central impervious core through

    recursive finite element analysis.

    MAJOR CONTRIBUTIONS

    07-01-2021 Short Course, NIT Warangal

  • Journals

    1. Talukdar, P. and Dey, A. (2021) “Finite element analysis for identifying locations of cracking and hydraulic fracturing in

    homogeneous earthen dams” International Journal of GeoEngineering (Springer). (Accepted)

    2. Talukdar, P. and Dey, A. (2019) “Hydraulic failures of earthen dams and embankments” Innovative Infrastructure Solutions

    (Springer), Vol. 4, Paper No. 42, pp. 1-20.

    Book Chapters

    1. Talukdar, P. and Dey, A. (2018) “Effect of Varying Geometrical Configuration of Sheet Piles on Exit Gradient and Uplift Pressure”;

    In book: Geotechnical Applications Chapter: 15 Publisher: Springer, Singapore.

    2. Talukdar, P. and Dey, A. (2018) “Sequential drawdown and rainwater infiltration based stability assessment of earthen dams”

    Advances in Computer Methods and Geomechanics, pp 541-551.

    3. Talukdar, P. and Dey, A. (2017) “Response of Earth Dams to Toe Drain Clogging” (Accepted for Book Chapter in Springer

    Publications).

    4. Talukdar, P. and Dey, A. (2018) “Numerical modeling of earthen dam: Validation with field data” (Accepted for Book Chapter in

    Springer Publications).

    5. Talukdar, P. and Dey, A. (2018) “Influence of the rate of construction on the response of embankment on PVD improved soft

    ground” (Accepted for Book Chapter in Springer Publications).

    50

    PUBLICATIONS

    07-01-2021 Short Course, NIT Warangal

  • Conference: National/International

    1. Talukdar, P. and Dey, A. (2018) “Sequential drawdown and rainwater infiltration based stability assessment of earthen dams” International IACMAG

    Symposium, Gandhinagar, India, Paper No. 236, pp. 1-11.

    2. Talukdar, P. and Dey, A. (2018) “Numerical modeling of earthen dam: Validation with field data” International Conference on Infrastructure

    Development (ICID), Jorhat, India.

    3. Talukdar, P. and Dey, A. (2018) “Influence of the rate of construction on the response of embankment on PVD improved soft ground” Indian

    Geotechnical Conference (IGC-2018), Bangalore, India, pp. 1-7

    4. Talukdar, P. and Dey, A. (2017) “Response of Earth Dams to Toe Drain Clogging”, Indian Geotechnical Conference, IGC, Department of Civil

    Engineering, IIT Guwahati, India, pp. 1-4.

    5. Talukdar, P., Bora, R. and Dey, A. (2017) “Finite Element Based Identification of the Triggering Mechanism of a Failed Hill Slope” 15th International

    Conference of International Association for Computer Methods and Advances in Geomechanics (IACMAG), Wuhan, China, pp. 1-11.

    6. Talukdar, P., Bora, R. and Dey, A. (2016) “Stability analysis of ash pond dyke under static, pseudo-static and seismic conditions” 1st International

    Conference on Civil Engineering for Sustainable Development – Opportunities and Challenges (CESDOC), Guwahati, India, pp. 1-6.

    7. Talukdar, P., Bora, R. and Dey, A. (2016) “Forensic investigation of the failure of a marginally stable hill slope” 5th International Conference on Forensic

    Geotechnical Engineering, Bangalore, India, pp. 389-400.

    8. Talukdar, P. and Dey, A. (2016) “Effect of varying geometrical configuration of sheet piles on exit gradient and uplift pressure” Geotechnology Towards

    Global Standards, Indian Geotechnical Conference, IGC 2016 Department of Civil Engineering, IIT Madras, India, pp. 1-4.

    5107-01-2021 Short Course, NIT Warangal

  • Relevant References

    Alonso, E. E. and Pinyol, N. M., 2016. Numerical analysis of rapid drawdown: Applications in real cases. Water Science and

    Engineering, 9(3): 175-183.

    Das, K., Saikia, M. D, Kalita, U. C., 2017. Modelling of Embankment Breaching with Special Reference to Barak Valley, Assam.

    Indian Geotechnical Conference, IGC, Department of Civil Engineering, IIT Guwahati, India, 1-4.

    Foster, M. A., Fell R. and Spannagle M., 2000a. The statics of embankment dam failures and accidents, Canadian Geotechnical

    Journal, 37(5), pp. 1000-1024.

    Foster, M. A., Fell R. and Spannagle M., 2000b. A method for estimating the relative likelihood of failure of embankment Paper

    No. 3.03a 7 dams by internal erosion and piping, Canadian Geotechnical Journal, 37(5), pp. 1025-1061.

    IS 12169 (1987) Criteria for Design of Small Embankment Dams, B.I.S.

    Pinyol, N. M., Alonso, E. E. and Olivella, S., 2008. Rapid drawdown in slopes and embankments, Water Resource Research, 44,

    W00D03, doi:10.1029/2007WR006525.

    Seed, H. B. and Duncan, J. M. 1981. The Teton Dam Failure-a Retrospective Review, 0th ICSMFE, Stockholm, Sweden, vol. 4,

    214-238.

    United States Bureau of Reclamation 2003. Design of Small Dams, Oxford & IBH, New Delhi.

    5207-01-2021 Short Course, NIT Warangal

  • Acknowledgment

    07-01-2021 Short Course, NIT Warangal 53

    Dr. Priyanka Talukdar

    Research Assistant

    Ryerson University, Canada

  • 07-01-2021 Short Course, NIT Warangal 54

    Thank You for Patient Hearing

    http://www.iitg.ac.in/arindam.dey/homepage/index.html#

    https://www.researchgate.net/profile/Arindam_Dey11