“…This slow convergence problem also affects the numerical simulation of elastic waves in stratified solid media (e.g., Apsel & Luco, 1983; Bouchon & Aki, 1977; Chen, 1999; Kennett, 1983; Yao & Harkrider, 1983). Classic methods for modeling the wave‐fields inside a borehole, for instance, real‐axis integration method (e.g., Tsang & Rader, 1979; Zheng et al., 2015), and discrete wavenumber method (e.g., Cheng & Toksöz, 1981), can also encounter the same problem (e.g., Parra et al., 1993). Two methods have been proposed to solve this problem.…”