Thanks for the responses - however, I believe that I'm looking for something different.
RWF7437: The reference is directed toward flexible pavement design and evaluation. The paper refers to "dynamic stiffness modulus (DSM)", which represents the average dynamic modulus of elasticity of subgrade materials.
I believe that this value is the same as the subgrade resilient modulus, Mr, which is also applicable to flexible pavements.
sdz: I do not believe that it is the dynamic shear modulus (G) that the engineer has asked for as I've given them a value for that.
coneboy: I've already provided a modulus of subgrade reaction for the design - their request is apparently about a "dynamic subgrade modulus".
msucog: Your question is mine, although I've only seen the dynamic shear modulus refered to as the dynamic shear modulus!
Still looking to clarify ......