http://www.bucorp.com/pdfs/UddeholmHeatTreatmentofToolSteel.pdf
http://www.bucorp.com/Products/ColdWorkSteels/DataSheets/aisi_d2.pdf
Uddeholm prescribes 30=60 minutes
minimum depending on Austenitizing temperature, with additional time for thicker sections. For D2 they also reccommend slow heating to Austenitizing temperatures. They seem to have the most comprehensive heat treating instructions of all the manufacturers. Note from the first listed paper on general heat treatment of tool steels, they call for 30 minutes on all of them.
http://www.crucibleservice.com/cutlery.cfm#
Go to the D2 data sheet for Crucible, they call for 30-45 minutes without mention of minimum thickness. They do call for 1 hr per inch of thickness for tempers with a 2 hr minimum per temper.
http://ocw.mit.edu/NR/rdonlyres/Mat...4-4483-843E-A8B69AAC96E3/0/coars_kcr_2003.pdf
The above study looks at grain growth and effects of alloying elements in steels. There is a lot of good info in this, if you wade through (or around) the math.
Ferrite (BCC) to Austenite (FCC) to Martensite (BCT/BCC) is a set of diffusionless shear phenomena in the FeC system that moves through the steel at ~3000'/sec. The soak has to occur to allow dissolution/diffusion of the Carbon from Carbides to alloying elements in the FCC structure that can be trapped (quenched) in the sites that want to be the BCC sites , but are distorted into the Tetragonal sites by the differing size atoms.
In D2 we want to dissolve all but the Vanadium Carbides. These will be less than micron sized and will work to pin grain boundaries in the the CrCs and MoCs as they start to reform, aiding in keeping them small which will make the matrix stronger.
The VCs do not start to dissolve until the steel get >1900°F, so they are unaffected at D2 hardening temperatures. The rest start dissolving above 1400°F and require the soak time.
Another thing worth remembering is that the 1.5% Carbon in D2 is Wt%. Stoichiometrically, this will 5 or 6% carbon which will yield a significant volume of carbide content.
To compare soak times and grain growth between high alloys and Carbon steels is apples and oranges.