Amex, I only have the one-dimensional theory derivation. Three-dimensional consolidation is complicated by multiple factors, including: (1) pore pressure generated by shearing under a complex 3-D change in stress, (2) anisotropy of hydraulic conductivity and potentially compressibility, and (3) drainage boundary conditions. For these reasons, I believe three-dimensional consolidation problems are generally solved numerically rather than analytically. However, there are some solutions for consolidation beneath finite-sized vertical loads acting on circular or rectangular areas. They become similar to the one-dimensional solution when the size of the footing is large relative to the thickness of the consolidating layer.
Awesome work!
I need derivation of three dimensional consolidation theory
Amex, I only have the one-dimensional theory derivation. Three-dimensional consolidation is complicated by multiple factors, including: (1) pore pressure generated by shearing under a complex 3-D change in stress, (2) anisotropy of hydraulic conductivity and potentially compressibility, and (3) drainage boundary conditions. For these reasons, I believe three-dimensional consolidation problems are generally solved numerically rather than analytically. However, there are some solutions for consolidation beneath finite-sized vertical loads acting on circular or rectangular areas. They become similar to the one-dimensional solution when the size of the footing is large relative to the thickness of the consolidating layer.