A Lattice Spring Model for Coupled Fluid Flow and Deformation Problems in Geomechanics

A lattice spring model is developed for coupled fluid flow and deformation problems. The model has an underlying structure consisting of particles connected by springs for the solid and fluid bubbles, connected by fluid pipelines for fluid flow. Formulations of the model to describe the coupled fluid flow and deformation behavior of a solid are derived. A few examples of consolidation problems are presented and compared with analytical solutions with good agreement being obtained, which means that the lattice model developed in this study can correctly simulate the coupled fluid flow and deformation response of a solid.

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