For foundation design, the elastic modulus to depth is much more critical then what is being called "surface modulus", which I would guess is the same thing as the modulus of subgrade reaction. Structural engineers use the modulus of subgrade reaction to model the reaction of a concrete slab to a given point load. If you are designing a foundation system, elastic theory will show the attenuation of stresses with depth. You may have a soil interval between the depths of 5 and 10 ft, which would have little influence on slab-on-grade design, but a much larger influence on foundation design.
Bear in mind that if the subgrade soils are saturated and prone to compression, you should really assessing the one-dimensional consolidation coefficients, rather than the elastic behavoir of the soil. If the soil is not saturated and not prone to consolidation, then I'd model the subsurface using soil modulus as that is more typical for finite element models.
Please recognize I'm not challenging the advice given on determining the modulus of subgrade reaction, I'm just not sure that it's relavent to your stated problem.
f-d
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