I think what I wrote back in 2009 still stands:
On Monday, April 27, 2009 at 11:17:15 PM UTC+8 Jim Almendinger wrote:
A
fair number to use for the bulk density of fine-grained (silty to
clayey) reservoir sediment is about 0.5 g/mL, which equals 0.5 metric
tons per cubic meter. Sandy deltaic sediments can be appreciably more
dense; sediment that has been subaerially exposed, dried, and compacted
can also be denser.
I could add that organic-rich lake sediment (gyttja) can be much lower in bulk density.
Sediment bulk density is usually expressed as (dry mass) / (wet volume). The mass of the water is not included. When SWAT gives you the mass of sediment trapped in a reservoir (sed_in minus sed_out), it is as dry mass. To convert that mass to a volume you need a bulk density expressed as dry mass per wet (or "fresh") volume, for which I suggest that 0.5 g/mL is a reasonable estimate for reservoir sediment [g/mL = g/cc. I.e., a milliliter (mL) equals a cubic centimeter (cc)].
Keep in mind that reservoir sediment is not soil. It is (generally) eroded soil that has been winnowed so that the grain size distribution has been altered. Coarse grains are trapped preferentially along the flow path, and at the very least concentrated in the deltaic sediment at the head of a reservoir. Most of the rest of the reservoir area would then receive the remaining fine grains (silts and clays), minus the fine grained sediment that remains suspended long enough to exit the reservoir at the downstream end.
You should look up a reference for the bulk density you use. The number I give (0.5 g/mL) is from casually reviewing the sediment analyses our lab did over many years, but you really need a citable value. Many of our publications give values of sediment mass/area, or whole-basin accumulation rates. While bulk density was calculated, the results were often buried in lab analysis results, where we were more interested in sediment chronology and total mass, rather than volume. There have been a whole lot of studies published on sediment accumulation in reservoirs -- you should be able to find something. Hopefully the number I gave is "reasonable." There are also decades of paleoecological literature, where lake sediments were cored to determine changes in both biota and catchment inputs, but much of this work across northern Europe and North America was from natural lakes with organic rich sediment, which is commonly somewhat lighter (lower bulk density) than reservoir sediment.
Good luck.
-- Jim