New unconditionally stable staggered solution procedures for coupled soil-pore fluid dynamic problems

A new class of unconditionally stable staggered implicitÐimplicit time-stepping algorithms for coupled soil-pore ßuid dynamic problems is presented. The proposed schemes are stabilized with a pressure correction method and the staggered procedure introduced earlier by the second author13 is a simpliÞed case of the new algorithms. The stabilized procedure is e¦cient in numerical time domain analysis of soil-pore ßuid interaction occurring in earthquake and consolidation problems. Several examples of linear and non-linear problems demonstrate the stability and accuracy of the proposed numerical solution algorithms.