If the sampler tube is pushed at the bottom of the bore hole to a distance of 585 mm with length of the sample recovered being 535 mm. Then the value of recovery ratio is ______.
91.45 %
The recovery ratio is a crucial parameter in geotechnical investigations, especially when collecting soil or rock samples using a sampler tube. It helps assess the quality of the sample obtained and the degree of disturbance during the sampling process. A recovery ratio close to 100% indicates good sample recovery and potentially less disturbance, although disturbance is also influenced by other factors.
The recovery ratio is defined as the ratio of the length of the sample recovered to the distance the sampler tube was pushed into the ground or borehole, usually expressed as a percentage.
The formula for calculating the recovery ratio is:
In this specific problem, we are given the following values:
Now, let's substitute these values into the formula to calculate the recovery ratio.
Recovery Ratio $(\%) = \left( \frac{535 \text{ mm}}{585 \text{ mm}} \right) \times 100$
Performing the division:
$\frac{535}{585} \approx 0.9145299$
Now, multiply by 100 to express it as a percentage:
Recovery Ratio $(\%) \approx 0.9145299 \times 100$
Recovery Ratio $(\%) \approx 91.45299$
Rounding to two decimal places, the recovery ratio is approximately 91.45%.
Let's summarize the calculation:
| Parameter | Value |
|---|---|
| Distance sampler tube pushed | 585 mm |
| Length of sample recovered | 535 mm |
| Recovery Ratio Calculation | $\left( \frac{535}{585} \right) \times 100$ |
| Calculated Recovery Ratio | $91.45 \%$ |
Based on the calculation, the value of the recovery ratio is approximately 91.45%.
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