“…This results in seismic images with less accurate anomaly patterns and amplitudes. Based on these advances, Chen et al (2014) and Liu et al (2017) proposed ambient noise adjoint tomography for 3-D crustal structures by matching the empirical Green function (EGF) and synthetic Green function (SGF) calculated based on SEM. Utilizing these seismic wave simulations, adjoint-state methods can efficiently incorporate the full nonlinearity of wave propagation in iterative seismic inversions (e.g., Bozdag et al, 2016;Chen et al, 2015Chen et al, , 2017Fichtner & Villaseñor, 2015;Fichtner et al, 2009Fichtner et al, , 2010Liu & Gu, 2012;Liu & Tromp, 2006Tape et al, 2009Tape et al, , 2010Tromp et al, 2005;Zhu et al, 2012;Zhu & Tromp, 2013, Zhu et al, 2015.…”