Our Kpar scheme uses a single exponential profile and is described in:
The range 0.04 to 0.2 (m^-1) covers the classic Jerlov range and 2.0 is "mud".
The chl scheme uses two exponentials and surface chlorophyll-a (mg m-3) is a more natural quantity than Kpar. I don't think there is a HYCOM publication that described the scheme, but from thermf.F90:
! --- shortwave attneuation scheme from:
! --- Lee, Z., K. Du, R. Arnone, S. Liew, and B. Penta (2005),
! --- Penetration of solar radiation in the upper ocean:
! --- A numerical model for oceanic and coastal waters,
! --- J. Geophys. Res., 110, C09019, doi:10.1029/2004JC002780.
! --- This is a 2-band scheme with "frac_r" fixed. However,
! --- "beta_b" and "beta_r" are now depth dependent.
! --- Required input to the scheme is the total absorption coefficient
! --- at the surface for 490 nm waveband (a490, m-1) and the
! --- total backscattering coefficient at the surface at the same
! --- waveband (bb490, m-1).
! --- However, here simple "CASE 1" relationships between these surface
! --- optical properties and surface chlorophyll-a (mg m-3) are assumed.
! --- These assumptions are considered valid for global, basin-scale
! --- oceanography. However, coastal and regional applications tend
! --- to be more complex, and a490 and bb490 should be determined
! --- directly from the satellite data.
! --- Authored by Jason Jolliff, NRL; week of 14 November 2011
Alan.