Seismic Response of Underground Structure in Soft Soil (Volumes 1 &2)

As part of a research project on the seismic response of underground structures embedded in soft soils we have completed the following tasks:
(i) Derivation of correct 'radiation' conditions to determine the reflected wave field in viscoelastic media. This is a critical step in the calculation of the deterministic free-field ground motion.
(ii) Development and validation of a method to calculate the two- and three dimensional response of unlined tunnels (cylindrical cavities) embedded in layered viscoelastic media and subjected to obliquely incident waves.
(iii) Development and validation of two independent methods to obtain the two- and three-dimensional response of cylindrical pipelines or lined tunnels buried in layered viscoelastic media and subjected to obliquely incident waves. The first method is based on an analytic Donnell model for the shell and applies to tunnels or pipelines of circular cross-section. The second method is based on a finite element model for the shell and applies to tunnels of arbitrary cross-section.
(iv) Development of a hybrid formulation and of basic subprograms to calculate the
response of a flexible axisymmetric tank and a lined vertical shaft subjected to
obliquely incident seismic waves.