A local radial point interpolation method for dissipation process of excess pore water pressure

Abstract

PurposeDevelop a local radial point interpolation method (LRPIM) to analyze the dissipation process of excess pore water pressure in porous media and verify its numerical capability.Design/methodology/approachTerzaghi's consolidation theory is used to describe the dissipation process. A local residual form is formulated over only a sub‐domain. This form is spatially discretized by radial point interpolation method (RPIM) with basis of multiquadrics (MQ) and thin‐plate spline (TPS), and temporally discretized by finite difference method. One‐dimensional (1D) and two‐dimensional consolidation problems are numerically analyzed.FindingsThe LRPIM is suitable, efficient and accurate to simulate this dissipation process. The shape parameters, q=1.03, R=0.1 for MQ and η=4.001 for TPS, are still valid.Research limitations/implicationsThe asymmetric system matrix in LRPIM spends more resources in storage and CPU time.Practical implicationsLocal residual form requires no background mesh, thus being a truly meshless method. This provides a fast and practical algorithm for engineering computation.Originality/valueThis paper provides a simple, accurate and fast numerical algorithm for the dissipation process of excess pore water pressure, largely simplifies data preparation, shows that the shape parameters from solid mechanics are also suitable for the dissipation process.