A correct anisotropic velocity model is critical for seismic imaging. We investigate here the possible advantages of inverting simultaneously for reflected and diving waves using P-waves recorded at the surface. Simple tests in 2-D VTI (Vertical Transversely Isotropic) models with spatially varying Vp and e show that reflected energy alone only provides partial information on the subsurface properties after travel time tomography. However, both the velocity profile Vp and e can be well inverted by combining the two types of waves in 2-D examples investigated here.