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Assessment of the Automation Algorithm for TDR Bridge - Ohio ...

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3.2 <strong>Algorithm</strong>s <strong>for</strong> <strong>TDR</strong> Signal Interpretation<br />

• Dielectric mixing <strong>for</strong>mula <strong>for</strong> scour estimation<br />

n<br />

α ( K ) = υ ( K )<br />

a,<br />

m<br />

∑<br />

i=<br />

1<br />

i<br />

a,<br />

i<br />

L 1 Ka,<br />

w + L2<br />

Ka,<br />

bs = L Ka,<br />

m<br />

K<br />

K<br />

a,<br />

m<br />

a,<br />

w<br />

=<br />

x<br />

L<br />

⎛<br />

⎜<br />

⎜<br />

⎝<br />

K<br />

K<br />

a,<br />

bs<br />

a,<br />

w<br />

α<br />

⎞<br />

−1⎟<br />

+ 1<br />

⎟<br />

⎠<br />

(Birchak et al. 1974)<br />

Water L1<br />

Sediment L2<br />

Setting <strong>the</strong> thickness <strong>of</strong> sediment L2 equal to x<br />

Dielectric scour estimation equation<br />

Approximate linear relationship between √K a,m and<br />

sediment thickness<br />

Sediment thickness can be estimated from measured K a,m<br />

39

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