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

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Mixing Formula <strong>for</strong> Dielectric Constant and<br />

its Application<br />

Measured and<br />

predicted √K a,m /√K a,w<br />

versus sediment<br />

thickness<br />

Estimated thickness <strong>of</strong> sand layer (cm)<br />

30<br />

25<br />

20<br />

15<br />

10<br />

5<br />

0<br />

Fine sand in tap water<br />

Fine sand in 250ppm solution<br />

Linear Fit <strong>of</strong> Estimated thickness <strong>of</strong> sand layer<br />

Equation<br />

Weight<br />

Residual Sum<br />

<strong>of</strong> Squares<br />

Adj. R-Square<br />

Estimated<br />

thickness <strong>of</strong><br />

sand layer<br />

y = a + b*x<br />

No Weighting<br />

2.3419<br />

0.99859<br />

0 5 10 15 20 25 30 35<br />

Measured thickness <strong>of</strong> sand layer (cm)<br />

Value Standard Error<br />

Intercept 0 --<br />

Slope 0.98828 0.01315<br />

Thickness <strong>of</strong> sand layer estimated by <strong>the</strong><br />

dielectric constant mixing <strong>for</strong>mula<br />

40

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