fundamental of engineering seismology

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    FUNDAMENTALS ofENGINEERING SEISMOLOGY 

    MEASURING GROUND

    MOTION

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    The first known instrument for earthquakes measurement is the Chang

    seismoscope built in China in 132 B.C.

    Balls were held in the dragons’ mouths by leer deices connected to an internal

    pendulum. The direction of the epicenter was reputed to be indicated by the first

    ball released. 

    !"#$%&'() "#&T*+%#,"$

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    Jargon

    seismoscope – an instrument that documents the occurrenceof ground motion (but does not record it over time)

    seismometer  – an instrument that senses ground motion and

    converts the motion into some form of signal

    accelerometer  – a seismometer that records acceleration, also

    known as strong ground motion

    geophone – another name for a seismometer, commonly used

    in active source seismology

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    More Jargon

    seismograph – a system of instruments that detects and

    records ground motion as a function of time

    seismogram – the actual record of ground motion produce by

    a seismograph

    seismometry – the design and development of seismic

    recording systems

    data logger  – device that converts analog to digital signal and

    stores the signal

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    Chronology of Instrumentation

    132 – first seismoscope (eng, China)

    1751 – seismoscope which etched in sand (!ina, Italy)

    1784 – first attempt to record ground motion as a function of

    time using a series of seismoscopes (Cavalli, Italy)

    1875 – first true seismograph (Cecchi, Italy)

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    Chronology of Instrumentation

    1889 – first known seismogram from a distant earth"uake isgenerated (#ebeur$%aschwit&, 'ermany)

    1914 – first seismometer to use electromagnetic transducer tosense ground motion ('alit&in, #ussia)

    1969 – first digital seismograph (data recorded in discrete

    samples on a magnetic tape) (* researchers)

    1990s – broadcast of real time seismic data via internet

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    ow *eismometers +ork 

     Fundamental Idea: o record ground motion

    a seismometer must be decoupled  from theground If the seismometer moves with the

    ground then no motion will be recorded

    *ince the measurements are done in a moving reference frame(the earth-s surface), almost all seismic sensors are based on

    the inertia of a suspended mass, which will tend to remain

    stationary in response to e.ternal motion he relative motion

     between the suspended mass and the ground will then be afunction of the ground-s motion avskov and /lguacil

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    -rinciples of seismographs

    0oors in C/# College (swing on tilted a.is)

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    he current is proportional

    to the mass velocity

    1lectro$magnetic

    sensor 

    2elocity transducer3

    moving coil withina magnetic field

    avskov and /lguacil

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    #nalog $trong!otion

    #ccelerographs

    11USGS - DAVID BOORE

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     Analog accelerographs

    Three important disadvantages of analog aelerographs!

    1" Al#a$s triggered %$ a speified threshold of aeleration #hih

    means the first motions are often not reorded

    &" The limitation of nat'ral fre('en$ of analog instr'ments" The$

    are generall$ limited to a%o't &) *+"

    ," It is neessar$ to digiti+e the traes of analog instr'ments asthe$ reord on film or paper most important disadvantage as it

    is the prime so're of noise.

    These instr'ments prod'e traes of the gro'nd

    aeleration against time on film or paper" /ost #idel$'sed analog instr'ment is the 0inemeteris S/A-1

    Dr" Sinan Aar Strong Ground Motion Parameters – Data Processing 1&

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    !odern seismic

    monitoring

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    Modern *eismometers

    • / conductive (metallic) mass is decoupled fromsurrounding magnets inside a protective casing

    • 'round motion causes the mass to move relative to the surrounding magnetic field

    • his creates an electric current with anamplitude that is proportional to the velocity ofthe mass

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    Modern *eismometers

    • his electric current is transmitted to a digiti&erwhich converts the analog (continuous) signal toa digital (discrete) signal

    • 1ach discrete observation of the current iswritten to a computer disk along with the

    corresponding time

    • hese times series- are downloaded to computersand processed4analy&ed

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    Digital accelerographs

    Digital aelerographs ame into operation almost )2 $ears after

    the first analog strong motion reorders" Digital instr'ments

    provide a sol'tion to the three disadvantages assoiated #ith the

    earlier aelerographs!

    1" The$ operate ontin'o'sl$ and %$ 'se of pre-event memor$ are

    a%le to retain the first #ave arrivals"

    &" Their d$nami range is m'h #ider3 the transd'ers having

    nat'ral fre('enies of )2 to 122 *+ or even higher 

    ," Analog-to-digital onversion is performed #ithin the instr'ment3th's o%viating the need to digiti+e the reords"

    Dr" Sinan Aar Strong Ground Motion Parameters – Data Processing 14USGS - DAVID BOORE

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    *ensitivity

    • he sensitivity of seismometers to ground

    motion depends on the freuency of the

    motion

    • he variation of sensitivity with fre"uency

    is known as the instrument response of aseismometer

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    he amplitude and fre"uency range of seismic signals is very large

    he smallest motion of interest is limited by the ground noise he

    smallest motion might be as small as or smaller than 56 nm +hat

    is the largest motion7 Considering that a fault can have a

    displacement of 65 m during an earth"uake, this value could be

    considered the largest motion his represents a dynamic range of(65465$65) 8 6566 his is a very large range and it will probably

    never be possible to make one sensor covering it *imilarly, the

    fre"uency band starts as low as 555556 & (earth tides) and could

    go to 6555 & hese values are of course the e.tremes, but a good

    "uality all round seismic station for local and global studies should

    at least cover the fre"uency band 556 to 655 & and earth motions

    from 6 nm to 65 m

    /mplitude and fre"uency range

    avskov and /lguacil

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    avskov and /lguacil

    It is not possible to make one single instrument covering this range of values and instruments withdifferent gain and fre"uency response are used for different ranges of fre"uency and amplitude *ensors

    are labeled eg short period (*%), long period (9%) or strong motion oday, it is possible to make

    instruments with a relatively large dynamic and fre"uency range (so called broad band instruments

    (!!) or very broad band (2!!)) and the tendency is to go in the direction of increasing both the

    dynamic and fre"uency range

    avskov and /lguacil

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    :rom I/*%1I$;M*

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    Instrument #esponse

    • *eismometers that are sensitive to ground motions with

    high fre"uencies are called s!ort"period  seismometers

    hey are useful for recording nearby (within =555 km)

    earth"uakes and are also used in active source seismice.periments

    • *eismometers that are sensitive to ground motions with

    long fre"uencies are called lon#"period   seismometershey are useful for recording teleseismic earth"uakes,

    normal modes, and earth tides

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    Instrument #esponse

    • he most advanced seismometers are called$road$and seismometers and can record

     both high and low fre"uencies – they recordover a broad band of fre"uencies

    !roadband seismometers are much moree.pensive, and more easily damaged, thanshort period seismometers

    M h i l

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    &(t)8 y(t)$.(t) relative displacement

    *pring force

    0amping force

    0amping oscillator 

    constants3

    Mechanical sensor 

     %& d& m& m'− − = +& &&

     ym

    5=m(d !   =

    m

    ) (   =5

    =

    5 5= & ! & & 'ω ω + + = −&& &

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    M h i l

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    Input harmonic motion

    (fre"uency domain)

    Mechanical sensor 

    =

    5 5

    =

    =

    =

    ( ) ( )

    ( ) ( )

    ( )

    ( )

    ( )

     * t 

     * t 

     * t 

     * t 

     * t 

     & ! & & '

     ' t + e

     & t , e

     ' - e

     & * , e

     & , e

    ω 

    ω 

    ω 

    ω 

    ω 

    ω ω 

    ω 

    ω 

    ω ω 

    ω ω 

    ω ω 

    + + = −

    =

    =

    = −

    =

    = −

    && &

    &&

    &

    &&

    ( )

    ( )

    ( )

    =

    = =

    5 5

    =

    == = = = =

    5 5

    6 6 5

    = =

    5

    ( )( )

    ( ) =

    ( ) ( )

    >

    Im ( ) =( ) tan tan

    #e ( )

    d d 

     , . 

     + !*

     / . 

    !

    .    !

    ω ω ω 

    ω ω ω ωω  

    ω ω ω 

    ω ω ω ω  

    ω    ωω ω 

    ω ω ω 

    − −

    = =

    − +

    = =− +

         −Φ = = ÷     ÷ ÷   −    

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    ( )

    = = =

    5 5

    == = = = =

    5 5

    ( ) 6( )

    ( ) =

    6( ) ( )

    >

    a

    a a

     , . 

     + !*

     ,  / .  /

    !

    ω ω 

    ω ω ω ω ωω  

    ω ω 

    ω ω ω ω  

    −= =

    − − +

    = = =

    − +

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      a  v  s   k  o  v  a  n   d   /   l  g  u  a  c   i   l

    accelerometer 

    :rom displacement to velocity and to

    acceleration3 divide by the fre"uency

    (remove a &ero from the origin)

    :rom mechanical seismometer to velocity

    transducer and to accelerometer, multiply

     by the fre"uency

    (add a &ero in the origin)

    :lat response in acceleration9ow sensitivity in displacement

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    0isplacement at very low fre"uencies produce very low

    accelerations

    ( , where . is the ground displacement and f the fre"uency)

    It is therefore understandable why it is so difficult to produce

    seismometers that are sensitive to low fre"uency motion

    oday, purely mechanical sensors are only constructed to have resonance

    fre"uencies down to about 65 & (short period sensors), while sensors

    that can measure lower fre"uencies are based on the :orce !alance%rinciple (:!/) of measuring acceleration directly

     ' f   '   =∝

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    :orce$balance (*ervo) *ensors

    he force$balance accelerometer is shown below where a

     pendulous, high$magnetic permeability mass is hung from a

    hinge he ?down? or ?null position? is detected by the null

    detector and the counterbalancing force is provided by a

    magnetic coil

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      “Broadband” seismometers (velocity sensors, usingelectronics to extend the frequency to low values) arestarting to be used in engineering seismology: theboundary between traditional strong-motion and wea-motion seismology is becoming blurred (indistinct,fu!!y)"

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    0igital strong$motion recording

    • !roadband3 nominally flat response from dc to atleast >5 & – !ut noise4 baseline problems can limit low$fre"uency

    information

     – igh$fre"uency limit generally not a problem becausethese fre"uencies are generally filtered out of themotion by natural processes (e.ception3 very hard rocksites)

    igh dynamic range (/0C 6@ bits or higher)• %re$event data usually available

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     AD5 Analog-digital onversion.

    • 6'anta least digital o'nt.

    6 7 &89&:

    ;here

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    E=amples

    • 8 7 &g 7 &>?@1 m9s9s

    • : 7 1& %its

      6 7 "?4 m9s&

     DR 7 44 d%

    • : 7 & %its

      6 7 2"222&, m9s& 

    DR 7 1,@ d%

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    /agnifiation 'rves

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    /agnifiation 'rves

    :ot sho#n! %road%and 2"2&D5 se.

    :ote noth3 d'e to Earth

    noiseC this noise an %eseen in reordings from

    modern %road%and

    instr'ments"

    ,)

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    $eismic $ensors and $eismometry/ -rof. ". 0ielandt/ r. C. !ilkereit

    :rom ;ew Manual of *eismological

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    :rom ;ew Manual of *eismological

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    Analogue and Digital Records of small earthquake from

    Adacent Instruments at !rocisa Nuo"a #Ital$%

    %$arrival lost in analog recording

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    *ummary

    • he first legitimate seismometer was built in 6AB

    • he first seismogram of a distant earth"uake was recordedin 6AAD

    • he first digital seismometers were deployed in the early6DB5s

    • he first broadband seismometers were deployed in the6DA5s

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    *ummary

    • *eismometers record motions as small as 65$D m,

    at fre"uencies of about 5556 & to 655 &

    • here are over 65,555 seismometers around the

    world that are continually recording ground

    motion

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    *eismograms• *eismograms are records of 1arth-s motion as a function of

    time

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    *eismograms

    *eismograms record ground motion in terms of  – displacement

     – velocity

     – acceleration

    •  ;ormally a seismometer samples ground motion about

    =5 times per second (=5 &), but this number can be as

    high as 55 & Modern accelerometers sample at =55

    sps

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    Seismograms are com&osed of

    '&hases(

     

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    *eismograms

    •'round motion is a vector  (whether it isdisplacement, velocity or acceleration), so it takes

    E numbers to describe it hus, seismometers

    generally have three components3

     – 2ertical (up is positive)

     –  ;orth$*outh (north is positive)

     –

    1ast$west (east is positive)

    Fhori&ontals

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    Components of Motionhere are simple mathematical operations that allow

    seismologists to rotate (abstractly) the hori&ontal components3

     ;

    1+

    *

    eart!ua)e

     seismometer 

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    Components of Motionhere are simple mathematical operations that allow

    seismologists to rotate (abstractly) the hori&ontal components3

     ;

    1+

    *

    eart!ua)e

     seismometer 

    Modified

    Coordinate *ystem

    he new

    components are

    called3(6) #adial, # 

    (=) ransverse, #adial

    ransverse

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     ;etworks and /rrays

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    )road*+and Seismogra&h Net,orks

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    Many networks of instruments, both

    traditional Gstrong$motionH and, morerecently, very broad$band, high dynamic$

    range sensors and dataloggers

    ,yoshin (et

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    ,yoshin (et,("T

    4apanesestrong motion

    networkhttp566www.knet.bosai.go.7p

    • 1888 digital instruments

    installed after the ,obe

    earthquake of 199:

    • free field stations with anaerage spacing of 2: km

    • elocity profile of each station

    up to 28 m by downhole

    measurement

    • data are transmitted to the

    Control Center and released

    on 'nternet in 3; hours after

    the eent

    • more than 2888

    accelerograms recorded in ;

    years

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    #eminder3 %lay Chuettsu and ottori

    movies

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    Chuetsu

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    ottori

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    / number of web sites provide data from

    instrument networks• !ut no single web site containing data from

    all over the world

    • /n effort is still need to add broad$banddata into the more traditional data sets

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    )USGS - DAVID BOORE

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    )@USGS - DAVID BOORE

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    )?USGS - DAVID BOORE

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    42USGS - DAVID BOORE

    NGA h 44 b k l d 4 4+1! *I1* – 0//!/*1*

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    NGA $ http344peerberkeleyedu4nga4

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