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    ___________________

    ______________ MIT OpenCourseWarehttp://ocw.mit.edu

    12.540 Principles of Global Positioning SystemsSpring 2008

    For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms .

    http://ocw.mit.edu/termshttp://ocw.mit.edu/http://ocw.mit.edu/http://ocw.mit.edu/termshttp://ocw.mit.edu/termshttp://ocw.mit.edu/
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    12.540 Principles of the GlobalPositioning System

    Lecture 24Prof. Thomas Herring

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    OVERVIEW

    Examination of results from Earthscope Reference frame definition: SNARF High-rate GPS results Episodic Tremor and Slip (ETS) events Two types of water events.

    Tools

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    PBO GPS Data Analysis

    ACs (NMT and CWU) are routinely generating PBOGPS data products Rapid Sinex files: 24 hour latency Final Sinex files: 6-13 day latency, weekly run started after IGS final

    products become available Supplemental Sinex files: 12-week latency, weekly run. Includes

    missed sites and a 3-4 tie sites from final runs to link network. Testsshow performance similar to finals. Bias fixing not quite so good due

    typically to wider site spacing. Supplemental runs also add sites to original final submission (until re-

    processing generates new set of final runs). SINEX and RMS files ftpd to MIT

    Recently campaign processing (Bob Smith) added to processing firstas an additional run similar to the supplemental runs and oncecaught up, included in the supplementals.

    Added USGS processing of SCIGN sites (SCEC funding). Resultsappear in combined product.

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    PBO Combination Analysis

    ACC: Rotates, translates, and scales each AC to PBO SNARF

    reference frame; check and correct meta data (when possible) Combine AC results and transforms combined product to PBO

    SNARF (Stable North America Reference Frame)

    Outlier checks and report generated SINEX and time-series files sent to UNAVCO via LDM The PBO realization of SNARF is updated about once-per-year:

    Requires re-submission of all frame defined sinex files and time

    series files. Latest version 20070919173418. At 6-monthintervals updates are made for new stations. (Reference framesites are not updated in these incremental updates and thus thetime series and SINEX do not need release.

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    PBO SNARF Reference Frame

    Red: IGSreference

    sitesYellow

    PBO/Nucleus

    sites

    254 sites used to estimate daily rotation, translation and scale ontothe North America Frame. Outlier detection during estimation.

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    RMS dailyscatter: PBO

    Sites

    Daily RMS Scatters for 2004-2007.9 Combined solution for PBO Sites

    Median North 1.1 mmMedian East 1.4 mmMedian Height 3.9 mm

    6

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    Daily RMS Scatters for 2004-2007.9 Combinedsolution for Nucleus Sites

    Median North 1.2 mmMedian East 1.4 mmMedian Height 4.2 mm

    Daily RMSScatters:

    Nucleus Sites

    Nucleus are pre-

    existing GPSsites that will bemerged into PBOat the end of construction(10/2008).

    7

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    NorthernCaliforniasites

    9

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    Central US

    The RG sites aremostly onlyprocessed byCWU and theresults are very

    noisy.Only one the RGsites is meant tobe processed byCWU.

    11

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    SCIGN site analysis:

    These resultshave implicationsfor how wellexternal or campaignprocessing canincorporated intoPBO.

    Current analysislooks very good.

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    Median North 1.1 mm

    Median East 1.3 mmMedian Height 3.8 mm

    RMS Scatter of

    merged SGIGNsites

    Quality is verysimilar to other PBO sites.

    13

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    Arrival of surface

    waves from SanSimeon Earthquake(1-Hz)

    GPS stationsaround Parkfieldoperate at 1-Hz

    sampling rates,which allows us tostudy surface wave

    arrivals from nearbyand largemagnitudeearthquakes

    14

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    Time zoom of arrivals

    In addition to thesurface waves, thestatic co-seismicoffset can also beseen here.

    Real time high rateGPS data useful for surveying andengineeringcommunities.

    15

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    Episodic Tremor and Slip (ETS)events in Casadia (Pacific North West)

    Examine overlay of strainmeter results and GPS coordinates Strainmeters measure small displacements in bore-hole (10-cm

    diameter) to measure strain (dl/l). GPS measures the integratedeffects of all strains between site and stable North America. Strain meter data downloaded from:

    http://pboweb.unavco.org/?pageid=89 level 2 processed data (ASCIIform)

    Files give gauge data calibrated to strain units with correctionsoffsets, trends and tides.

    Four gauge readings converted to 3 components of strain in east,north and EN directions (Eee-Enn, Eee+Enn, 2Een) through gaugeorientations and least-squares (could test rms here).

    Eee-Enn strain compared GPS East coordinates after removingpolynomial from strain.

    Data available in a number of formats including SEED

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    http://pboweb.unavco.org/?pageid=89http://pboweb.unavco.org/?pageid=89
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    Image removed due to copyright restrictions.

    http://www.navteq.com/http://www.terrametrics.com/http://www.europa-tech.com/
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    Borehole strainmeter GPS comparisonTransient appears shorter in strain record? However is this expected fromspatially transient strain event: Position will see continued integration

    Green line includes tides

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    Comparison in Northern Casadia/Vancouver Island

    Again short strain event but here earlier signal in Nov 2006not seen in GPS.Again short strain event but here earlier signal in Nov 2006

    not seen in GPS.

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    Motions in California

    Red vectors relative to North America;Blue vectors relative to Pacific

    Motion acrossthe plateboundary is ~50mm/yr.

    In 100-years thisis 5 meters of motion which isreleased in largeearthquakes

    Look atmotion here 20

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    Site BBDM (using GoogleEarth)

    22

    Courtesy of MDA EarthSat . Used with permission.

    http://www.mdafederal.com/homehttp://www.mdafederal.com/homehttp://www.mdafederal.com/home
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    Site BBDM (DM means Dam*)

    23

    Image removed due to copyright restrictions.

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    Water level in DAM versus site east coordinate

    0.2 5

    0.18

    0.16

    0.14

    0.12

    0.1

    0.08

    V o

    l ( a c r e -

    f e e

    t ) 1 e

    6 0

    -5

    E a s t R

    a t e

    r em ov

    e d ( mm

    )

    Vol (acre-feet) 1e6

    East Rate removed (mm)

    0.06 -10

    2000 2001 2002 2003 2004 2005 2006Year

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    Closer Look (water change is rapid)

    V o

    l ( a c r e

    - f e e

    t ) 1 e

    6

    0.2

    0.18

    0.16

    0.14

    0.12

    0.1

    0.08

    0.062004 2004 2005

    Year

    5

    0

    -5

    Vol (acre-feet) 1e6

    East Rate removed (mm)

    -102006 2006

    E a s t R

    a t er

    em ov

    e d ( mm

    )

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    Another Water effect

    2005-AnomalyBaldwin Park Areas

    Velocity LegendRed: 2003-2005;Blue 2005-2005.5;Black 2005.5-2007

    Examine 3 sites26

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    Trend fit

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    Baldwin Hills

    Velocityanomaly

    Change in velocity

    (2003-2005) minus(2005.5-2007.)95% confidenceellipses

    Grey scaledversion of 2005rate

    Rapid responsethought be dueto water; reasonfor long term

    change not clear 30

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    Summary of Water Effects

    While onset on motion in 2005 in Baldwinregion coincides with heavy rains; the motionsin this region continue well after the end of

    rains. BBDM: Dam site shows rapid response to

    water changes in the dam and so effect inbasin seem to be of a different nature.

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    Cautions: Bad antenna artifact (several sites of this nature)

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    Cautions: Bad antenna artifact (several sites of this nature)

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    Repeating slow

    earthquakes inPacific North West

    Example of repeatingslow earthquakes (norapid rupture)

    These events giveinsights into material

    properties and nature of time dependence of deformation

    33

    Image removed due to copyright restrictions.

    Please see: Larson, K., P. Bodin, and J. Gomberg . Using 1 Hz GPS Data to Measure

    Deformations Caused by the Denali Fault Earthquake. Science 300 (2003): 1421-1424.

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    Tools

    Most modern GPS analyses now containhundreds of GPS sites

    For the remainder of the lecture we examine

    results with the GAMIT/GLOBK matlab toolsavailable at:http://www-gpsg.mit.edu/~tah/GGMatlab

    Current programs are velview and tsview.

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    http://www-gpsg.mit.edu/~tah/GGMatlabhttp://www-gpsg.mit.edu/~tah/GGMatlab