Carter Cavity Expansion Solution for a Frictional, Non-Cohesive Soil
Posted by Dr. Dawn Shuttle, Editor of the Draft Compaction Grouting Consensus Guide of the Geo-Institute of the ASCE.
The spreadsheet, carter.xls, provides the Carter et al. (1986) large strain analytical solution for cylindrical and spherical cavity expansion in a non-cohesive frictional soil. The cylindrical solution provides a simple method for approximating the volume-pressure response during compaction grouting. Required inputs are friction angle, dilation angle, elastic shear modulus, Poisson’s ratio (typically assumed in the range 0.15-0.3), and in situ horizontal stress.
Carter.xls (Right-click and select "Save Target As..." to download.)
Reference: Carter, J.P., Booker, J.R. & Yeung, S.K. (1986). "Cavity expansion in cohesive frictional soils." Geotechnique, 36(3), 349-358.
