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This study derives a new pure qP wave equation based on acoustic approximation. This new equation is free from spurious shear wave interference, and all terms can be solved using finite-difference methods, resulting in high computational efficiency. By approximating the square root term in the decoupled qP wave dispersion relationship using the Taylor expansion, the new equation is expressed as a combination of the wave vector k and the scalar S. By extracting the wave vector k, a novel pure qP wave equation is obtained for TTI medium. The new equation can remain stable when ε<δ. And numerical experiments demonstrate that the new method possesses higher accuracy compared to a similar method. Finally, the new approach is applied to reverse time migration (RTM) and shows good imaging results.