Mesh-free modeling of liquefaction around a pipeline under the influence of trench layer

This paper reports numerical study of pore pressure evaluation and liquefaction potential around offshore buried pipelines by using the local radial basis function differential quadrature method. The current mesh-free method is a combination of differential quadrature approximation of derivatives and function approximation of MQ-radial basis function. A multilayer node distribution around a pipeline is used to obtain more accurate results in the area near the pipelines. Various physical parameters of the soil such as the permeability coefficient ( k ) and unit weight (γ) of the soil along with different shapes and locations of the trench layer are considered. The results are obtained in terms of liquefaction potential contours and pore pressure profiles. From the numerical aspect, the outcomes verify that the current technique is capable of solving different physical problems with complex geometries.