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Dam Monitoring with 3D Tracker GPS - Jewell Instruments

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RELATIVE DISPLACEMENT (m)<br />

RELATIVE DISPLACEMENT (m)<br />

0.015<br />

0.010<br />

<strong>GPS</strong> Upstream/Downstream − Left Base to Mono 35<br />

Suspended Plumb Line − Mono 35<br />

<strong>GPS</strong> 7-Day Running Average<br />

0.010<br />

0.005<br />

<strong>GPS</strong> Upstream/Downstream − Left Base to Mono 23<br />

Suspended Plumb Line − Mono 23<br />

<strong>GPS</strong> 7-Day Running Average<br />

0.005 0.000<br />

0.000 -0.005<br />

-0.005 -0.010<br />

-0.010 -0.015<br />

-0.015<br />

APR MAY JUN JUL AUG SEP OCT NOV DEC JAN FEB MAR<br />

2002-2003<br />

-0.020<br />

APR MAY JUN JUL AUG SEP OCT NOV DEC JAN FEB MAR<br />

2002-2003<br />

Figure 3. Comparison of Plumb Line and <strong>GPS</strong> data over a 1-year period.<br />

value for each displacement vector roughly equivalent to<br />

one standard deviation. The Army Corps designed the <strong>GPS</strong><br />

monitoring system <strong>with</strong> two <strong>GPS</strong> reference stations to<br />

ensure that at least one is running at all times and to<br />

provide integrity monitoring. The integrity monitoring comes<br />

in the form of two independent solutions for each point on<br />

the dam computed from the separate reference stations. To<br />

further monitor system integrity, plumb line measurements<br />

collocated <strong>with</strong> <strong>GPS</strong> installation locations were collected<br />

and analyzed.<br />

MULTIPLE REFERENCE SYSTEMS<br />

A byproduct of using two reference stations is the ability to<br />

gauge system accuracy and precision. The two reference<br />

stations allow for two independent solutions to be derived<br />

for each remote station at any given time. Agreement in the<br />

real-time computed solutions for the two independent<br />

processes serve as an immediate indicator of the overall<br />

system precision and accuracy. Disagreement between<br />

independent solutions, however, will alert an operator<br />

to pursue an immediate investigation of the cause for the<br />

deviating solutions. Installing reference stations on<br />

opposing slopes of the Kootenai River canyon has<br />

introduced confirmation processes from each respective<br />

receiver station.<br />

An extremely close agreement between independent processes<br />

for each remote station on the dam reinforces<br />

confidence in accuracy and precision of the computed<br />

remote positions. The difference between the computed<br />

solutions roughly equates to<br />

one standard deviation for 24-hour data sets. These<br />

independent processes accurately represent the definitive<br />

position of each remote station <strong>with</strong>in the operating error<br />

envelopes for the monitoring system.<br />

PLUMB LINE MEASUREMENTS<br />

Four of the six <strong>GPS</strong> instruments were collocated <strong>with</strong><br />

existing plumb line instruments contained <strong>with</strong>in the dam.<br />

The suspended plumb lines consist of wires suspended in<br />

vertical shafts. Manual readings are taken at the bottom of<br />

the shaft. The collocation of <strong>GPS</strong> and the plumb lines<br />

provides not only a way to compare the two measurement<br />

systems, but also allows the <strong>GPS</strong> system to provide<br />

integrity monitoring for the plumb line system and viceversa.<br />

While <strong>GPS</strong> can measure vertical motion as well as<br />

horizon- tal motion, the plump line system can only<br />

measure horizontal motion. The graphs above show good<br />

agreement between the lateral <strong>GPS</strong> measurements and<br />

the plumb line measurements at the dam crest.<br />

THE RESULTS<br />

An analysis of error envelopes, accuracy/precision of the<br />

computed solutions using multiple baselines <strong>with</strong> multiple<br />

reference stations, and comparisons of the collocated<br />

plumb line instrumentation and <strong>GPS</strong> provides three unique<br />

indicators of system performance. These three indicators<br />

have been defined at Libby <strong>Dam</strong> and are serving the US<br />

Army Corps of Engineers system operators to monitor<br />

motion of the dam at the millimeter level.<br />

Figure 4. <strong>Dam</strong> monolith cross-section.

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