Step 1: Recall the hydraulic fill method.
In the hydraulic fill method, soil is transported as a slurry using water and deposited layer by layer to form the embankment.
Step 2: Identify the type of dam.
This construction technique is used for
\[
\boxed{\text{Earthen (Earth-fill) Dams}.}
\]
Hence,
\[
\boxed{(D)}
\]
is the correct answer.