Compaction theory — the theoretical maximum dry density at a given water content is referred to as:
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ADry density (field-measured value)
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BZero air-voids dry density (airless condition)
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CSaturation dry density (at Sr < 100%)
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DAll the above
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EOptimum water content density
Answer
Correct Answer: Zero air-voids dry density (airless condition)
Explanation
Introduction / Context:In laboratory compaction (Proctor) tests, the dry density–water content curve approaches an upper theoretical limit called the zero air-voids (ZAV) line. This line represents the maximum possible dry density at a given water content if all air were removed from the voids, which is not practically achievable during normal compaction.
Given Data / Assumptions:
- ZAV condition implies percentage air voids na = 0.
- Specific gravity G and water content w govern the ZAV line.
- No collapse or particle crushing is considered.
Concept / Approach:The ZAV dry density is given by the relation:gamma_d(ZAV) = gamma_w / (w + 1/G)where gamma_w is unit weight of water, w is decimal water content, and G is the specific gravity of solids. Actual compaction curves lie below this line due to trapped air and energy limitations. The ZAV concept provides a benchmark for evaluating compaction results and moisture control strategies in the field.
Step-by-Step Solution:
Recognize that the theoretical maximum at fixed w occurs when air is absent.Relate mass–volume phases to derive the ZAV expression.Use the ZAV line to judge whether measured dry densities are realistic and to infer likely air contents.Verification / Alternative check:Plotting the ZAV line with Proctor data shows the experimental curve approaching but never crossing the ZAV limit.
Why Other Options Are Wrong:
- Option A: Generic term; not necessarily the theoretical maximum.
- Option C: The phrase “saturation dry density” is ambiguous; at full saturation, dry density is not defined as “maximum” without the ZAV context.
- Option D/E: Overbroad or imprecise.
Common Pitfalls:Confusing ZAV with optimum water content (OMC) where peak measured dry density occurs; the ZAV is a theoretical upper bound, not necessarily achieved at OMC.
Final Answer:Zero air-voids dry density (airless condition)