“…Chiu et al (1986) use a bending method in the inversion of 3-D reflection traveltimes and Zhao et al (1997) use the pseudo-bending method in the inversion of refraction traveltimes for 2-D crustal structure. In local earthquake tomography, bending methods are probably most commonly used to find source-receiver paths and traveltimes (Eberhart-Phillips, 1990;Scott et al, 1994;Eberhart-Phillips & Reyners, 1997;Graeber & Asch, 1999).…”