“…Combining the unanchored length of L obtained above, the length of the referred model was increased to 2500 m to fully reflect the interaction of the pipeline-soil, which coincided with the dimension of the models proposed in the works of Joshi et al [17] and Vazouras et al [16,18]. In the range of [À30 m, 30 m], the referred model was identical to the proposed model, while in the ranges of [À30 m, À1250 m] and [30 m, 1250 m], the pipeline was modeled as 3-D beam elements, and the soil was modeled as spring elements [26,27], whose properties were calculated based on ALA-ASCE guidelines [23] (see Table 2). …”