The anisotropic effects in real earth media can induce waveform distortion on seismic wave propagation. Neglecting these effects in seismic imaging processing can lead to a degradation in imaging resolution. Therefore, starting from the exact P-wave dispersion relation, we derive a pure acoustic wave equation for tilted transversely isotropic (TTI) media to accurately characterize the anisotropic effects. In contrast to the coupled pseudo- acoustic TTI wave equation, our new pure acoustic TTI wave equation generates a noise- free wavefields and remains stable for anisotropic parameters (ε < δ). The newly derived pure acoustic TTI wave equation accurately simulates the P-wave kinematic features, as demonstrated through theoretical analysis. Additionally, building on the proposed wave equation, we formulate a finite-difference operator and obtain a pure acoustic TTI wave equation that can be solved by finite-difference (FD) method. Numerical tests illustrate that the proposed FD-solvable pure acoustic TTI wave equation is highly efficient in wavefield simulation. Finally, based on the newly derived FD-solvable pure acoustic TTI wave equation, we implement TTI reverse time migration (TTI RTM). Numerical examples demonstrate the efficacy of the proposed TTI RTM scheme in correcting for anisotropic effects.